diff --git "a/data/dm_maths/full_data_1/2569_11255.jsonl" "b/data/dm_maths/full_data_1/2569_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2569_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (sqrt(72)\/sqrt(4) - (sqrt(98) - (sqrt(98) - (sqrt(98) + -3*sqrt(98) + sqrt(98))))**2)*4.\nAnswer: -392 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56 + g**2 + 0*g**2 - 2*g**2 + 325.\nAnswer: -g**2 + 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 + 1\/2. Suppose -2*g - 2*g - i = 8, -2*g + 2 = 2*i. What is the closest to d in -0.1, -0.3, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39002 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2356 by 4.\nAnswer: -589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 99\/27 + 4*-1. What is the second smallest value in 0, k, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/6226?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-538 - -462) + -3 + 0 + -13\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 185156*b**5 + 1386*b**2 + 171*b.\nAnswer: 11109360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*o - 682, -3*d + o - 95 + 757 = 0. Suppose -u - 2*t - 222 = -3*u, 2*u = -t + d. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17589, -17554, -17519, -17484, -17449, -17414?\nAnswer: -17379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 4:46 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*y, -6*p + p - 17 = 2*y. Is y at most -2\/1991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72438263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 - 3*i**2)*(i**2 - 483*i + 490*i - 6*i**2).\nAnswer: 25*i**4 - 35*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 772697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -698069*p + 698069*p + 7587*p**2 to a*p**2 + v*p + n and give a.\nAnswer: 7587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -227*u - 21. Let x be g(-9). Let h = x + -862. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**5 - 15*k + 16*k - 9*k**5 + 29*k wrt k.\nAnswer: -460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (1 + (1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 12*d + 18. Let y be b(-13). Find the second derivative of 4*u**4 - u - y*u**4 + 20*u**2 - 21*u**2 - 9 + 0*u**4 wrt u.\nAnswer: -12*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*1*sqrt(192) + (2 + sqrt(1728) + 0)*1)**2 + -2.\nAnswer: -1056*sqrt(3) + 209090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (-1*sqrt(132) - sqrt(132))*-3)\/(-1*sqrt(108)).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3528394 and 21238?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*m + n, 3 + 7 = -m - 5*n. Let g(v) = v**2 + 2*v + 3. Calculate the remainder when 35 is divided by g(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/35 (c) 1 (d) -0.2 (e) 11 (f) 5 (g) 16\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 594780 times 0.1?\nAnswer: 59478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4.6+805633402\nAnswer: 805633406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.33 + 4.67. Which is the second biggest value? (a) -0.7 (b) -1 (c) h (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3341?\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from hzzzzdhhdhzd.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3437)\/75614*(-2 + 15\/2))\/(2\/536)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2094 + 3*r + 0*r + 2085 - 2*r in the form w + s*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97886 is divided by 392?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 242 = 836. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, 2, 2, -12, -46?\n\"Answer: -l**3 + 2*l**2 + 9*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - k + 5 = 2, -k - 1 = -3*v. Solve -1 = v*u + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -116, -307, -486, -653, -808?\n\"Answer: 6*g**2 - 209*g + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 - 83 + 130 - k as d*k + s and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 321001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-129)\/(-688))\/((-12)\/96)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -1, 3\/22, -0.14, 0.5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 3. Let x be m(3). Let k = -23 + 23.1. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 192.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1297 - -1515. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/751660 and 139\/170520.\nAnswer: 130788840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 109*t. Let q(p) = -50*p. Give j(q(l)).\nAnswer: -5450*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-972)\/(-12) + (1 + -2 - 0). Let i(a) = 37*a - x*a + 5 + 38*a. Let w(d) = d**3 + 3*d**2 - 4*d + 4. Let j be w(-4). Calculate i(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 + 204. What is the smallest value in b, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267.73 - -2.73. Let y = z + 264.817. Let n = 0.033 + y. Is n less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -136*j + 134*j - 5*s, 2*s = -12*j + 178. Calculate the remainder when (-3)\/1*(-98)\/3 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in -4, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 5*y - 27. Suppose 18 = 2*o + 2*i, -y = -5*o - 2*i + 8. Suppose o = -5*h + 2*j, 3*j - 8*j = -5. Which is the nearest to 0? (a) 0 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 48152?\nAnswer: 818584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a factor of 5222799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48022268 + -13579.4?\nAnswer: 48008688.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**4\/5 - 5544*q**3\/5 + 33192*q**2\/5 - 66336*q\/5 + 44208\/5 = 0.\nAnswer: 2, 1842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.110066343 + -22?\nAnswer: -21.889933657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 48*h**2 + 5. Let m be w(-48). Factor 4*q**2 + q**2 - 240*q + q**2 + 3600 + m*q**2 - 7*q**2.\nAnswer: 4*(q - 30)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007560626 rounded to six dps?\nAnswer: 0.000756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - (-1 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzzz when four letters picked without replacement from {n: 3, z: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 0.5, -2\/17, 1 in descending order.\nAnswer: 1, 0.5, -1\/45, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4 + 31 = 0. Suppose -26*i = -27*i - 43*i + 264. Let f(j) = -7*j**2 - 6*j - 2. Let m(l) = -8*l**2 - 7*l - 3. Calculate b*f(h) + i*m(h).\nAnswer: h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 31\/120*v**6 + 0*v**5 + 0*v + 35*v**2 + 0 + 41\/6*v**3 + 0*v**4. What is the first derivative of u(q) wrt q?\nAnswer: 93*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. List the prime factors of 24\/(-4)*1\/o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262681231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*i + c - 121, -4*c = -3*i + 71. Let g = -44834 + 44884. What is the least common multiple of g and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 5*p**2 - 10*p**2. Let r(s) = 3*s**2. Give h(r(t)).\nAnswer: 27*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8.2097106.\nAnswer: -16.4194212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c**2 + 41*c**2 - 19*c**2.\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 8. Let d be k(4). Let p(i) = -49*i**2 + 3*i - 3. Let m be p(d). Is m\/(-3) - (-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 5*t - 3*m, -2*m = -2*t + m - 21. Let p be (0 + 24\/9)*3. Suppose 23 = -2*j + 5*b, 5*j = -p*b + 4*b + 25. What is the biggest value in j, t, -2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 637 by -91.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 195 (b) -3\/8 (c) 1.2 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 350546, 701092, 1051638, 1402184, 1752730, 2103276?\n\"Answer: 350546*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.01, 5, -38\/11, -3 in descending order.\nAnswer: 5, 4, 0.01, -3, -38\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 63*d**4\/2 + d**3 - 2*d**2 + 2*d + 48. Calculate the remainder when m(1) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/4 + 4557*t**4\/4 - 5744739*t**3\/2 - 8981998701*t**2\/2 + 35962444995*t\/4 - 17986962675\/4 = 0.\nAnswer: -1745, 1, 1969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7088458, 14176914, 21265370, 28353826?\n\"Answer: 7088456*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 + 0*m**2 - 3*m**2)*(-10*m + 14*m + 6*m) + (-6 + 4 + 0)*(56 + 3*m**3 - 56).\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17547 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 18*j + 6. Let v be b(10). Let x be (-36)\/v + 40\/(-70). Factor 0*r + 2\/15*r**3 + 0 + 4\/15*r**x.\nAnswer: 2*r**2*(r + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.55 in -3, -16\/5, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.93495 + 0.06505. What is the closest to 1\/6 in 21, f, 0, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 1, 2204, -1 in increasing order.\nAnswer: -1, 1, 101, 2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200540 (base 7) to base 9.\nAnswer: 51432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112d - -5?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3068\/6005 or -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296845 greater than 4296844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 273*m - 5253. What is t(19)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1374 + 3415 = -44*d + 985 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 153\/693007 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -11*w + 86548. Suppose 0 = 13*l + w - 40641. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 83296\nAnswer: -41648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/((-20)\/(-30)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {x: 4, b: 2, i: 2, n: 5, r: 1}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 84, 141, 198, 255, 312?\n\"Answer: 57*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -5 (c) 28.06 (d) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(-13)\/(-26))\/(-7)*16\/(4\/(-1)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**4\/4 - g**3\/3 - g**2\/2 + 2*g - 14. Determine u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - r - 23, 12*d - 43 = 3*d + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330850.\nAnswer: 2, 5, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2931 or -4243?\nAnswer: -4243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q = 5. Let i be -2 + 1\/(q - 0). Suppose -2*l - 3*l = 20. Sort i, -2, l in descending order.\nAnswer: -2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 518.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/21)*(z*z*z*((z*(z\/(z**(-4)\/z))\/z)\/z)\/z)\/z*z**(1\/4)*z*z**(-3\/4)*z assuming z is positive.\nAnswer: z**(311\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 38*m + 38*m + 3*m**2 in the form n*m**2 + c + k*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -516*z + 41. What is the hundreds digit of r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -8.12.\nAnswer: 0.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 2*j**2 + 4*j - 1. Let z = 103 - 90. Let n(f) = 3*f**2 + 4 + f**3 + 6 - 2*f**2 + 4 - z + f. Give g(u) - 2*n(u).\nAnswer: -u**3 + 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**2 + 164*z - 1314 = 0.\nAnswer: 9, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-49)\/7)\/(-7))\/(-6*17\/(-22338)*-3)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 424. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*j + 3\/4 - 1\/4*j**2.\nAnswer: -(j - 1)*(j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-12 - -1)) + -51 + 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/(2665\/38376)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 484 and 44?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 3 + -5)**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2abb + 41ba2?\nAnswer: 44990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k**2 - 307*k + 80. Let y be b(-77). Solve -3*u = 2*m - 145 + 136, 5*m - y*u = -9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*10\/6*(-3)\/(-5). Let o be 2\/(6\/p) + 3 + -5. What is the tens digit of (-31 - 0)\/(o\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**7\/6 - o**4\/3 + 3*o - 6. Let w(a) be the first derivative of f(a). Find the third derivative of w(g) wrt g.\nAnswer: 420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let v(w) = -5*w + 6. Let a be v(6). Let g be 2\/5 - a\/15. Determine n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t**3 - 12*t**3 + t**3 + 9*t**3.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1433698519?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -44.19. Let h = c + -0.19. Let n = -6 - -11. Sort -0.3, h, n in ascending order.\nAnswer: -0.3, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 7 = -9, w = -4*q - 8. Let j be ((-2)\/3)\/((-2)\/3). Put j, q, -4 in increasing order.\nAnswer: -4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*z - 2*z - 2880 = -89*z for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (42\/(-56))\/((-1)\/48) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2157 + -30.585104719.\nAnswer: 2126.414895281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**3\/5 + 8774*q**2\/5 - 1907798*q - 184421942\/5 = 0 for q.\nAnswer: -19, 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1595988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3302343 - -10?\nAnswer: 3302403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1218615, -4874459, -10967537, -19497843, -30465371?\nAnswer: -43870115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1207342\nAnswer: 13\/603671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -123*b - 5. Determine i(1).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9427*d**3 + 62488*d wrt d?\nAnswer: -56562*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18798 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-2)*130572\/(-14508)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 556903, 1113756, 1670609, 2227462?\n\"Answer: 556853*d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6231300 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.04*0.4.\nAnswer: -29.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/(12\/(-84)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11616 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7339 + 6168 = 13*y. What are the prime factors of y?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 0)*6)**2 - (sqrt(5) + 3 + -1 + sqrt(5))) + 1*(sqrt(80)\/sqrt(4))**2.\nAnswer: -2*sqrt(5) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 24*u**3 + 4*u**3 + 61 - 56*u**3 - 35 + 25*u**3.\nAnswer: -3*u**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -39*m**3 + 63*m**2 - 9*m + 9. Let a(i) = 10*i**3 - 16*i**2 + 2*i - 2. Let q(y) = -18*a(y) - 4*s(y). What is the third derivative of q(l) wrt l?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8183 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27963 and 717?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2223*p**2 + 2223*p**2 - 5 + 6 - p**3 + 0*p**3 + 233*p to z*p + d*p**2 + x*p**3 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t = 3*p - 14, 10 = -p - 3*t. Solve 3*u + 2*g = -p*u - 16, -2*u - 12 = -2*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (-2 + 6 - 459). Is (b\/(-164))\/(2\/2248) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 467, 475, 483, 485, 475, 447, 395, 313?\n\"Answer: -z**3 + 6*z**2 - 3*z + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 + -1307557.88224?\nAnswer: -1307626.88224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z + 48*z - 4 - 46*z - 2*z**2. Let o(w) = -w**2 - 2. Let b be (4\/3)\/((-2)\/6). Let x(n) = b*m(n) + 7*o(n). Calculate x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/131389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 4*a. Let b(x) = 3436*x**2 + 4871*x. Let h(g) = -b(g) + 11*c(g). What is the second derivative of h(o) wrt o?\nAnswer: -6784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxrr. Give prob of picking 2 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - -0.98. Suppose 5*u - 2*v + 4 = -5, 4*v = u - 9. Which is the closest to -2\/5? (a) g (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7724 + 7724 + 146*u**2 to the form o*u + i*u**2 + d and give i.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76\/49 - 93\/98. What is the fifth biggest value in -5, b, 0, -1\/3, -1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 7. Let o be q(0). Let v(t) = -t**2 - 6*t + 9. Let h be v(o). Solve h*m = -2*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o + 27*o - 196 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 3*v**2 + v - 3. Suppose -4*m + 23 = 5*i - 2*m, 8 = 2*i + 2*m. Suppose 4*w - i = -j - 74, 15 = 5*j. Let q = w + 15. Give n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**2 - 8. Let d(l) = 8*l**2 - 7. Let i(o) = 4*d(o) - 5*g(o). What is the first derivative of i(n) wrt n?\nAnswer: -16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9 = -21. Let m = -57 - -219. Let y = m - 158. Calculate the remainder when h is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 + 467 = 142*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.40289ng?\nAnswer: 0.01340289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o. Let f(c) = 72*c**2 - 436*c - 4. Determine f(i(b)).\nAnswer: 648*b**2 + 1308*b - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 4*j**3 + 4*j**3)*(-5 + 5 - 2*j**2) + (2*j**3 - 2*j**3 - j**3)*(2*j**2 - 4*j**2 + 3*j**2) + j**4 - j**4 - 2*j**5.\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*y + 26*y + 12*y)*(-5 + 7 - 5)*(-32 - 47*y**2 + 32).\nAnswer: 3525*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(108) + 3.\nAnswer: 1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v - 248000 = 0. What is v rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357 and 613.33.\nAnswer: -218958.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 41 - 71*i + 3*i**2 + 146*i + 2*i**3 - 79*i to the form m + x*i + s*i**2 + y*i**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 4*t**2 - 3. Let s be n(-3). Suppose 5*c = 9*c + 41*c - 720. Calculate the remainder when c is divided by ((-12)\/8)\/(s\/(-40)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - l**2 + 20153 + 4*l + 0*l - 2*l.\nAnswer: -2*l**2 + 2*l + 20153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19328, -19347, -19378, -19421, -19476, -19543, -19622?\n\"Answer: -6*k**2 - k - 19321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 114, 118, 124, 132?\n\"Answer: h**2 - h + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-14))\/((-3)\/(-147)*10). Which is smaller: v or 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/3, 11, -1, -3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 12*v - 27*v**2 - 55 + 54*v**2 + v + 88. What are the prime factors of b(-6)?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 188*-1 + (-8)\/(-20)*10. What is the common denominator of -57\/2 and (0 - (8460\/n)\/(-9)) + 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 860 and 17930484?\nAnswer: 89652420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0 (c) -0.0992 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-48) + (0 - 0). Let b be (8\/(-28))\/((-5)\/(-10)). Put -2\/19, t, -2\/5, b in ascending order.\nAnswer: b, -2\/5, -2\/19, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3263 - -20796. Let r = -245577\/14 + t. Find the common denominator of -5 + 5 - 142\/(-4) and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -8\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 757 a factor of 40558546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -6. Suppose -2*k + y = 20. Let d be 3\/2*(-24)\/k. Let b(a) = a**3 + a**2 + 1. Let g(p) = 6*p**3 + 5*p**2 - p + 4. Give d*b(w) - g(w).\nAnswer: -2*w**3 - w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/152*4)\/((-3)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let y be 1\/(3\/(42\/2)). Let i be 2\/(-6) + y\/3. Let c(n) = n + 1. What is i*c(t) + q(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*z = -6, -3*v - 13 - 11 = -2*z. What is the units digit of 8*(-13)\/v*21\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**4\/66 + 10*r**3\/33 - 2*r + 18. Factor f(j).\nAnswer: -2*j*(j - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(38)*2 + sqrt(38))*-3)\/(sqrt(242)*1*-6).\nAnswer: 9*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 + 541?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/251 + -2717\/5773. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 9*d**2 - d + 9. Let f be a(9). Suppose z + f = -4. Let x be -1 - (0 - (8 + z)). Solve -x*k = p + 19, 5*p = k - 8 - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -3\/7, 0.5, 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 3*q**2 + 3*q - 2. Give x(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/(-2)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7303.1 + 7303. What is the smallest value in -0.6, 5, c, 3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 154*p**5 + 106*p**2 + 195548*p?\nAnswer: 3080*p**3 + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51939*i**2*l - 4*i**2 - 4*i*l - 11*i - 316*l - 3 wrt i.\nAnswer: 103878*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146\/7, -0.03, -76, -24.\nAnswer: -76, -24, -0.03, 146\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -16, -0.2 in descending order.\nAnswer: -0.04, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 667 - 669. Let t = 6 - 4. Let d = 0 + 0.1. What is the closest to d in t, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 180. Let r = -83 + w. Which is the nearest to r? (a) 0.02 (b) -4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 1478875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5656 + 101755\/18. What is the common denominator of 4\/6 - 123\/(-54) and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 10, t: 1, a: 2, n: 1}. What is prob of picking 2 a and 1 g?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**2 + 10*x + 1. Let t be d(3). Suppose 5*b = -7 + t. Let j be -19 + (-2 - 0) + 1. Sort -1, b, j in descending order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 613 + -599. Calculate the remainder when 31 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, c: 4}. Give prob of sequence ncnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -45. Suppose -d*p = 5*n - 10, p + 8 = -2*p + 4*n. Which is the closest to p? (a) 4 (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -111*l**2 - 3551*l + 85. Give c(-32).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**2 - 3*w**2 - 2*w**3 + (6*w - 11*w - 7*w)*(39*w**2 + 798 + 4*w - 10*w - 798) as f*w**2 + p*w + z + h*w**3 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 - 9200*b - 4232000 = 0. Calculate b.\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/7 + 80*d**2 + 4*d\/7 - 80.\nAnswer: -4*(d - 140)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9174 divided by 22?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 287*v**2. Suppose 8*r + 5 = 3*r. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from aasssslcnssal?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -9. Suppose -3*r - 2*r = -5. Let f be r*4\/8*0. Solve f*m = -m - g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 10*j - 126. Suppose j*c + 1485 = 12*c. 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 -127980 rounded to the nearest 1000?\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 888, 747, 520, 213, -168, -617, -1128, -1695?\nAnswer: -2312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m - 3*x + 8 = 11*m, 8 = 2*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55767101 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*d = 110*d - 11962. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.5, 130, -0.8, -1 in descending order.\nAnswer: 130, -0.5, -0.8, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 829 divided by 12503\nAnswer: 829\/12503","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + (sqrt(539) + 1 - sqrt(539)) + sqrt(539)))**2*-3 + (-1*(sqrt(539) + 0))**2 + 3 + -2.\nAnswer: -1080 - 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - 81\/36. Let f be (-9)\/(n + (-9)\/(-3)). Which is the second smallest value? (a) f (b) 0.5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25\/((-125)\/(-40344)) + (44\/20 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1061, -865, -539, -83?\n\"Answer: 65*z**2 + z - 1127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*s - 3*s + 4*s)*(-13 + 0 - 2) - s - 3*s + 3*s)*(5*s - s - s) as i*s + z + t*s**2 and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*v = -v + 10, -4*p - 5*v = 12. Suppose 0 = -s - 5, -3*d - p*s = 21 + 19. Let n be (-3899)\/(-5) + (-2)\/d. Round n to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 999*j**4 + 3790*j**3 - j**2 + 5332*j - 106 wrt j?\nAnswer: 23976*j + 22740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1)*(-10 + 651) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4*v - 39 - 106.\nAnswer: -3*v - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 4)*(v**4 + 0*v**4 - 4*v**4) + 18*v**4 + 7*v**4 - 8*v**3 + 7*v**3 to the form u*v**4 + j*v + i*v**3 + z + w*v**2 and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 23*n - 14. Let y be v(11). Let a = 7 - y. Solve j + t + 3 = a, 2*j = t + 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -11. Suppose -f*y + 15 = 3*y. Find the second derivative of -v - y*v**4 + 6*v**4 + v - v wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*r - 15, 28*t + 12 = 4*r + 30*t. Solve 0 = 3*o - 2*z - 9, 0 = 7*z - 8*z - r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007454187 rounded to five decimal places?\nAnswer: -0.00745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + s**2. Let b(v) = 10*v**3 + 12*v**2. Let j(p) = -p**3 - 5*p**2 + 40*p + 38. Let a be j(-9). Give a*b(f) - 22*u(f).\nAnswer: -2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22d (base 14) to base 2.\nAnswer: -110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 10*g - 5. Let v be c(-11). Suppose v - 23 = -t. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 3*l**2 + 8*l + 6. Let q be f(-5). Suppose 0 = 4*i - 8*i - q. Calculate the common denominator of -17\/36 and ((-1)\/16)\/(6\/i*1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -146*t**3\/3 - 150*t - 153. Find the first derivative of p(i) wrt i.\nAnswer: -292*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -221*w + 2645. Let q be d(12). Put -9, 21, q in decreasing order.\nAnswer: 21, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*v - 14, 0 = -v + 6*v - 3*d - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 divided by 53?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2809 - 6365. Let n = s + 64093\/18. Find the common denominator of -111\/20 and n.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/3, -0.1, -0.3, 114\/11, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.382107 nanograms?\nAnswer: 0.000000000000009382107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4132 - 227267\/55. Is y greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by -30016.\nAnswer: 89\/15008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28737 divided by -927.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1764 in 1, -194, -1.6?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 5 (c) -2786\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 - 1.6. Let p = -3 - c. Let w = p - 0. What is the second smallest value in w, -4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/105 + (2\/(-5))\/((-12)\/(-6434)). Is r smaller than -214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 11*o - 12. Let v be t(-9). Let h be (10\/20)\/(1\/v). Suppose 0*q + 9 = l + 2*q, -q = -h*l + 13. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -88. Let l = r + -41. Suppose -l = g - 20. Calculate the lowest common multiple of 98 and g.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (3\/2)\/((-3)\/7)*-90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:06 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.85, -1, -12, -0.281 in increasing order.\nAnswer: -12, -7.85, -1, -0.281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -c + 2*j, -26*c = -25*c + 5*j + 21. Solve 0 = -4*l + c*m - 2*m - 6, 0 = 5*m - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {h: 2, n: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-2)\/(-2) + (4 - 6)). Let g be n\/(2\/(1 + 3)). Find the third derivative of 19*v**4 - 12*v**2 - 10*v**g + 0*v**2 + 6*v**2 wrt v.\nAnswer: 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27471663.04 - 0.94.\nAnswer: -27471663.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 q when four letters picked without replacement from {y: 2, j: 3, q: 4, k: 4, t: 1, w: 1}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -4. Let c = y - -4. Let l = 5.0000006 - c. What is l rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2959.389532 to 0 dps.\nAnswer: 2959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 8. Let y be m(6). Let x(i) = -y*i**2 + 0 - i**3 - 2*i**3 - 3 - 2*i + i**3. Calculate the remainder when x(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + s + 120 = 0. Calculate the greatest common divisor of 48 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13209 or 13185?\nAnswer: 13209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -2023.9\nAnswer: 8095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23770 - -23771. Calculate the smallest common multiple of 208 and f.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -210141?\nAnswer: 210142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1308ba (base 12) to base 3.\nAnswer: 120212102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/4307 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meqe when four letters picked without replacement from eqmmeqemmqmqm.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 76, 98, 120?\n\"Answer: 22*w + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 265 - 258 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 6) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let z be i(3). Let v be (z\/9)\/((-1)\/(-6)). What is the smallest value in v, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 11. Let m be u(11). Suppose m = -k - 18 + 329. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4092.70099945 + -4092.7. Let p = -0.001 + s. Round p to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 9:56 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -599 + 840. Does 65 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394242.\nAnswer: 2, 3, 65707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7335*t**3 - 7335*t**3 - 328*t**3 + 787*t**3 + 425*t**3.\nAnswer: -13786*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*r = -16, 26*n - 4*r - 81 = -39 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-3 + 0)) + 2356?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, y: 1, d: 3, f: 3}. Give prob of picking 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 994.74166 rounded to the nearest integer?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 712\/559 or 2?\nAnswer: 712\/559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465166 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3573283 is divided by 899?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 1 - (20 - 33)) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 5*b - 8 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277 - 1926 = 323*c + 2873 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12\/85 - -1\/17. What is the third smallest value in l, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 2545742 - 297058 = 0. What is o rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + ((sqrt(209) + ((sqrt(209) + (-1*sqrt(209) - sqrt(209) - sqrt(209)))*3 - sqrt(209)))*-1)\/(-1*sqrt(275)*6).\nAnswer: -3 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:28 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/6*8\/14. Let f(s) = s. Determine f(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.257 + 13.257. Let g = -2.8054473 - 9.1945837. Let b = g + k. Round b to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**5\/60 + 5*w**4\/24 + w**3 - 24*w**2 - 2*w - 158. Suppose 0 = 4*s - 8, 0*s = -4*n + 5*s - 30. Calculate u(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11712 - 5633. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) + (sqrt(9) - ((sqrt(441)*-2 - sqrt(441) - sqrt(441)) + sqrt(441) + sqrt(9))) + sqrt(9)).\nAnswer: sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 9. Let z be f(-4). Suppose 5*l - 4 = -5*x + z, x + 5*l = 9. What is the common denominator of 93\/2 and 25\/(-20)*1\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6497 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1316 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.127 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/4 or 3?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.6951*1\nAnswer: 0.6951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -1 - (-20 + 23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9942 divided by 1\nAnswer: 9942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17*(2 - (1 + 0)). Let m = i + -9. What is the tens digit of 718\/m + 15\/(-4) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 22. Let a(b) be the first derivative of b**2\/2 + 390. Determine -6*a(q) - j(q).\nAnswer: -q + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1892 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 98, 856, 1614?\n\"Answer: 758*b - 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415, -3665, -5.\nAnswer: -3665, -5, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15203 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154 - 160.1. Let h = k + 6.02. Sort 2, h, 0.4 in descending order.\nAnswer: 2, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 11*w**2 + 8*w + 7. Does 7 divide y(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzazdaaaadaaaa. What is prob of sequence zz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42950.7275 and -0.5?\nAnswer: 42950.2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (19 + -13 - 13) - 8 - 51.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 142 and 16827.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/(-126))\/(-8)*-3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 138 = 5*z + 7*d, 4*z - d - 123 = 0. Calculate the remainder when 57 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195.4 - -195.39997914. What is i rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:06 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -14\/3, -0.4?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -3 - 147. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13921, -20811, -27703, -34597, -41493?\n\"Answer: -w**2 - 6887*w - 7033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 - 73. Let d be y(0). Sort d, -3, 1, -2, 3 in descending order.\nAnswer: 3, 1, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724360.\nAnswer: 2, 5, 7, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -92, -135, -178?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 5. Calculate the smallest common multiple of 9 and (6\/12)\/(t\/(-22)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-30)\/(-9) + -2). Let o(v) = -5*v - 5. Suppose 0*q + 2*q - 3*y = 114, -114 = -2*q + 4*y. Calculate the remainder when q is divided by o(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9564*u**2 - 6*u + 382331?\nAnswer: -19128*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4.98 * -292380\nAnswer: -1456052.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*k + 16, k + 5 = 6*k. Suppose -4*d = 4*q + 16, 5*d - a = q + 4. Let p be -1 + (-2 - -4) + -4. Sort d, 4, p in ascending order.\nAnswer: p, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a39 (base 13) in base 4?\nAnswer: 3221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2. Let h(i) = 211*i + 100. Let j(y) = 1372*y + 640. Let t(w) = -32*h(w) + 5*j(w). Calculate q(t(r)).\nAnswer: 46656*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7703 + -21?\nAnswer: 76a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 8. Let y be s(-6). Suppose 4*t + q = 64, -2*q + 64 = 2*t + y*t. What is the greatest common factor of t and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4898 <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 39*w - 16*w - 5*w. Let u be (-21)\/(-56) - (-2 - -2). Which is the smallest value? (a) u (b) w (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z + 15. Does 5 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.201898ms to hours.\nAnswer: 0.000014778305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -648831?\nAnswer: -648832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/13 and 85\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) - (sqrt(900) + 3*sqrt(900)) - sqrt(900))\/sqrt(3)*1 + (sqrt(189)*1 + sqrt(189))\/(sqrt(63) + sqrt(252)))*-3.\nAnswer: 118*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/2 + 954025*b + 910163700625\/2 = 0.\nAnswer: -954025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -1. Let f be (820\/(-28))\/(n\/(-217)). Let q = -1573 - f. Calculate the common denominator of -125\/6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 8*b**3 + 13*b**3 - 2*b**2 - 26*b**3 - 4*b + 2*b**3 + 5*b**3 as y*b**3 + f*b + z + d*b**2 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*a**5 + 7470*a wrt a?\nAnswer: -1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*t**2 + 105*t + 35*t - 1 + 94*t**2 to k + n*t**2 + p*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = 0. Suppose q + 7 = -3*b - 7, 26 = -5*b + q. What is the closest to 0 in -0.2, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8 - 8 - (-8 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -1*sqrt(1100)*-3 + (sqrt(1100) + -2*sqrt(1100))*-5)**2*1 + -2.\nAnswer: -640*sqrt(11) + 70417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29141509\/103461 + 2\/34487. Let t = -239 + m. Factor -392*r**2 - 224*r - 686\/3*r**3 - t.\nAnswer: -2*(7*r + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1154*m - 771 = 5078 + 3383 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -823, -6097, -19793, -46123, -89299, -153533?\n\"Answer: -702*r**3 + r**2 - 363*r + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 18886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-1 - 3) + 3). Let c(j) = 2 - i*j - 3*j + 30*j. Let p(k) = -2*k. What is p(c(a))?\nAnswer: -48*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1620) - (4 + 4*sqrt(5))**2).\nAnswer: -95 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 6 = -6. Let d(o) = -o - 711*o**c + 679*o**2 + o. Let i(q) be the third derivative of -q**5\/60 - q**2. Calculate d(i(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 11660433*h\/4 + 32066221\/4.\nAnswer: -(h + 2915111)*(4*h - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 9*y + 2 + 4 in the form j + u*y and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -81, -59, -37, -15, 7?\n\"Answer: 22*l - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -52, -4, 0 in descending order.\nAnswer: 2, 0, -1, -4, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -886 - -887. Which is smaller: o or -1\/2968?\nAnswer: -1\/2968","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 189 - 131 - i.\nAnswer: -i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -723241\/40 + 18079. Let f = -5584363\/30 - -186145. Calculate the common denominator of n and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 - 46. Let r(t) = 2*t**2 - t. Let i be r(2). Let m = i - -1. Calculate the greatest common factor of m and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04051, 2, 12 in increasing order.\nAnswer: -0.04051, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 10*n - 12. What is f(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 2*k, -w + 3*k = w + 5. Suppose 0*r = -w*f - 2*r + 10, 0 = 5*f + 4*r - 26. Suppose -p + f = -4*p. Are p and -5\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z + 64. Let x be a(12). Let o(j) = -11*j - 8. Let l(w) = 7*w + 5. Let c be 32\/28 - (-1)\/(-7) - 6. Determine c*o(y) + x*l(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60845 divided by -283.\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Which is the second biggest value? (a) -19 (b) l (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2358511*t**3 - 2358511*t**3 - 13*t + 223*t**2 + 2*t**5 wrt t.\nAnswer: 40*t**3 + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233 and 44009506.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -0.1, -544?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + f + 3. Let y be v(0). Suppose y*n - 360 = -n. Suppose -6*c = -c - n. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139 + 2637\/19. Is 1 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5\/4. Let g = -0.07 - 0.33. Suppose 0 = -3*i + 3, -i = 4*x + 2*i - 3. Sort x, g, k in increasing order.\nAnswer: g, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8255641050 to the nearest integer?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose q = 3*w + 6 + 3. Let f be (4\/w)\/(2 - 0). Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4217 + -4209. Solve 16*j - d*j = -40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/138*3*180\/126.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - (-13 + 61)) + (1 - 31)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*h**3 + 8*h**2 - 4*h**2 - 16*h**2 - 16*h**2 wrt h?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25802538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (149 - 150) + (-1)\/(-3). Put 0.1, -0.1, -30, g in decreasing order.\nAnswer: 0.1, -0.1, g, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**3 + 5*n**2 + 6*n - 6. Suppose -4*c + 1 = 4*j + c, -5*j - 5*c = 5. Let o(q) = -9*q**3 + 10*q**2 + 13*q - 13. What is j*o(k) + 13*m(k)?\nAnswer: 2*k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/2)\/(-3))\/(19\/114)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2 - n - 6. Let j(v) = -v**3 + 3*v**2 + 7*v + 1. Let q be j(4). Let x(i) = -q - 6*i**2 + 3*i - 5*i - 5*i**2. Calculate -4*x(s) + 9*z(s).\nAnswer: -s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5\/2 + 3*r**4\/2 - 2*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -15*i - 143. Determine j(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1595 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + s = -11 + 20, 0 = -6*s - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12514915 to the nearest integer?\nAnswer: 3538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u, -80 + 344 = 4*k + u. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/60*-1*(0 - -95). Suppose -5*s + q = -7*g + 10*g, 5*g - 43 = -4*s. Solve -5*o + 5*n = -32 + 2, -3*n = s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-114))\/((-96)\/(-27))*(-4)\/(-30).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -82*b + 12. Let y(c) = 163*c - 30. Calculate 7*d(k) + 3*y(k).\nAnswer: -85*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -0*n. Let s = n + -1. Put s, 2, 5 in increasing order.\nAnswer: s, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64\/5 of a meter?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-4)\/75)\/(618\/515)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2663371933 to the nearest integer?\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1196 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/1)\/((-78)\/(-91)))\/(60\/(-72)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -149 - -57310?\nAnswer: 57183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6)*2 + 5. Let r be (l\/(-12))\/(((-4)\/(-6))\/(-2)). Solve -t + 5 = r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19631 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (sqrt(119) - (sqrt(119) - ((sqrt(119) - sqrt(119)*-1) + sqrt(119))*-1)))\/(sqrt(21)\/sqrt(27)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 = -3*h + 79. Let r(d) = -5*d + 27. Let g be r(5). Suppose g*f - 10 - 16 = 0. Calculate the greatest common divisor of f and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 + 11*v + 0*v**3 - 11*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 0\/(8 + -17). Let j(l) = -12*l**2 + 3*l - 3. Let a(d) = 60*d**2 - 14*d + 14. What is h*a(w) - 14*j(w)?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1. Let n(a) = 34999*a + 6. Let b(p) = 2*h(p) + n(p). Let y be b(4). Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 200 + -186. Which is greater: 17 or r?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 2*j + 3. Let h(i) = i**3 + 7*i**2 + 3*i + 2. Calculate the remainder when h(-6) is divided by g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*g + 82*g = 342*g - 5280 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1508*h - 1537*h - 345 + 3055*h as i*h + a and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 + 445*p - 391. Let i(t) = -2*t**2 - 148*t + 131. Let r(q) = 11*i(q) + 4*u(q). Let h be r(51). Round h to the nearest one hundred.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*y + 3*k, -7 = -3*y + 5*k + 3. Let h = y - -16. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:12 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 8*h - 15 = 6*h + 1, 2*x + 4*h - 2 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -p, 21*p - 16*p = 0. Let m(j) be the second derivative of -1\/70*j**5 - 1\/21*j**3 + 1\/21*j**4 - 3*j + 0*j**2 + w. Factor m(u).\nAnswer: -2*u*(u - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 2*q**2 + 63 - 30 + 55*q - 30.\nAnswer: -7*q**2 + 55*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 4. Let r be m(3). Let n(a) = -a**3 - r*a + 4*a + 7 + 6*a**2 + 2*a. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.1, 2\/35, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:21 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6)*(1 + 8). What is the first derivative of 7 - 4*v - v + r*v - 3 wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221054574 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 0)*(1 + 0). Suppose 0 = 7*q - 8*q - 4*b + 24, -2*q - 7 = -3*b. Suppose q*v - 4 = -j*v. Let a(g) = -11*g**3 + g - 1. Determine a(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by ((-27)\/12)\/((-45)\/1020).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 2*k - 5. Let a be v(-3). Let j be (37 - (a + 5)) + -5. What is the third derivative of j*m**2 - 21*m**6 - 28*m**2 + 17*m**2 wrt m?\nAnswer: -2520*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 + (-38)\/(-10). Suppose -39 = i*j - 5*j + 5*n, 2*n - 32 = -3*j. Let h = -8 + j. Solve 0 = 4*f - h*f, -15 = -3*d - 5*f for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 10}. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312224.\nAnswer: 2, 3, 13669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 12*j**2 + 13*j + 3. Let u be k(-13). What is the third derivative of 4*o**3 + 11*o**2 + 4*o**3 + 0*o**u wrt o?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53636797 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 90. Let o = -48 - i. Let d = 456\/7 - 65. Put 7, d, o in ascending order.\nAnswer: o, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 29. Suppose 0*l - 335 = -5*l + 2*d, -3*l = 5*d - 201. Suppose 3*x + 5*b - l = 0, 2*x - 2*b - 10 = o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4296 (base 11) to base 14\nAnswer: 20d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2784 and 2400?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 3. Let x be l(-5). Suppose -2*i + h = -27, 2*i - 10 - 8 = -x*h. Suppose -4*y + 12 = -p - 2, 5*y = 4*p + i. Solve -3*z - p = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/2000)\/((1392\/(-10))\/(-29))?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 3:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Let a(w) = t*w - 4*w - 4*w**2 + 2*w**2 - w**2. Let j(y) = y**2 + y. Give -a(h) - 2*j(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:51 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5*t = 5, 5*t - 8 = h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*d + 166972 = -123*d. Which is greater: d or -6421?\nAnswer: -6421","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 3. Let c be k(-4). Let i be (-2)\/((-1)\/(c\/(-6))). Let y = i + -4. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*o + 8, 0 = o - 6*n + 2*n + 16. Let r be 2 - o\/((-9)\/3). Suppose -2*u - r*u = -148. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 0. Suppose -8*z + 3*z - 45 = -5*l, l = -4*z - g. Solve 0 = 3*x + d + 5, -l*d = 2*x + 12 - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5450 and 23710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*f + 4*b + 1097, -3*f - 2*b = 799. Let n = f - -275. Calculate the least common multiple of 56 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11740527 to the nearest integer?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d. Let j(b) = -54*b - 12. Let s(r) = 7*r + 2. Let k(l) = j(l) + 6*s(l). Determine k(z(m)).\nAnswer: 228*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 4 (c) 2\/13 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 2*j. Let m = -9 + 7. Let t be u(m). Sort -4, t, 4 in decreasing order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*u - 14 = 15, -3*u = 4*a - 21. Suppose 1 - 67 = -a*s. Solve s = -2*j - 5*h - 9, 2*j + 8 = h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17066, 0, 1\/3 in descending order.\nAnswer: 17066, 1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4037837483 rounded to five dps?\nAnswer: 1.40378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 1. Suppose 4*t = 3*p + p + 4, -3*p - 2*t = 8. Let l(d) = -d - 1. Determine p*l(g) - q(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let g(z) = 12*z**2 + z + 1. What is t(g(c))?\nAnswer: 24*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/22 - (-34)\/22)*((-220)\/(-187) - 1)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -12314*o. Let d(k) = 3*k**2. What is m(d(j))?\nAnswer: -36942*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*f - 4, -2*i - i - 4*f = 8. Suppose 3*n = 4 + 8. Solve i = t + 3*d - 1, 2*d = -2*d - n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v + 0*v)*(5 - 4 + 0) + 9*v - 5*v + 7*v + (-3 + 2 + 2)*(3*v + 2 - 2).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96350567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/55 (b) 1\/11 (c) 0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3745?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 364 + -351 + 128\/(-10). Suppose 6*t - 3*t = -15. What is the nearest to 3 in t, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 + 2.85. Sort 3, 2\/7, j in descending order.\nAnswer: 3, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**4 - 2390*q**3 + 278345*q**2 + 1735140*q + 2635380 = 0. What is q?\nAnswer: -3, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.071394um?\nAnswer: 0.007071394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283513362 divided by -3296667.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17*b - 5 - 3*b**2 + 10*b**2 + 11*b - 36*b + 12*b. What is x(-4)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2176301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + c - 2*t + 12, 3*c + 28 = -2*t. Let d be 1\/c*-4*6. Suppose 7*p = d*p + 236. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*x = 157 - 3229 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4, 54, 13\/7, 0.2 in increasing order.\nAnswer: 0.2, 1\/3, 13\/7, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377565 is divided by 539.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 1. Let x(j) = 2*j**2 - 5. Let q(z) be the third derivative of z**4\/24 + z**3\/2 - 14*z**2. Let v be q(-4). Calculate v*x(u) - 5*i(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/45)\/(2\/(-10)). Suppose -r - 3 = -f. Let g(q) = q + 1. Is g(f) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 21 = 7*p - 4*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f + 47. Let g be b(-15). Let r(k) = 31*k**2 - 10*k**2 - 11*k**2 - 8*k**g. Let z(q) be the second derivative of -q**4\/4 + q. Calculate z(r(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*j + 59*j = -520. Calculate the remainder when j is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.02. Let m = d + -1.98. Let w = 9 - 5. What is the biggest value in -3\/2, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (10 - (16 + -2 - 9)) - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {o: 3, v: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*g**2 - 4*g**4 - 37*g**2 + (-5*g**4 + 5*g**4 - 2*g**4)*(0 - 3 + 4) + 2*g**4 + 0*g**4 - 4*g**4.\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 245772 and 218464?\nAnswer: 1966176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-2) - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7227 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1555697 + 42107589\nAnswer: 40551892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 5*m, 4*m + 5 = 5*l + 1. Find the third derivative of -34*a**4 - 2 - 13*a**l - a**2 + a**4 wrt a.\nAnswer: -1104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 16*q**2 + 5*q - 20. Let g(t) = 2*t + 29. Let c be g(-12). Suppose 2*l + c*y = 47, 0*l - 20 = -2*l + 4*y. Is 12 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 11. Suppose i - 2*i = -3. Suppose 0 = -0*a + i*a + 6. Let k = -7 - a. Give y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2600535546 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1582.424 and -24.9.\nAnswer: 39402.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 110 = 3*o, g = -0*g - 4*o - 131. Let f = g + 200. Suppose 21 - f = -5*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, x: 2, t: 1, k: 1, a: 2}. Give prob of sequence tk.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30112112 - 1201?\nAnswer: -30113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12497856 and 153160?\nAnswer: 62489280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**3 + 39*p**3 - 81*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1690*n + 1577*n + 2828729 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 a when four letters picked without replacement from akkkahhahhha?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147 - -153. Find the third derivative of 6*l**4 + c*l + 3*l - l**3 - 4*l**2 - 4*l - l**4 wrt l.\nAnswer: 120*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9629, 38514, 86653, 154046?\nAnswer: 240693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6*i + 20 = 0. Suppose 2*p + 31 = -i*o, -4*p - 11 = o + 6. Calculate the remainder when 5 is divided by 6\/(-27)*p*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -129, -397, -859, -1569, -2581, -3949, -5727?\nAnswer: -7969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3*42\/(-28)*(-1)\/(-3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(8\/100) + -4. Let i(g) = 3*g - 2*g - 21 + c. Let z(t) = 10*t**2. Give z(i(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37\/3*(-6 - -12) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -326.96 in 18\/7, 0, 1, 5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v - 34*v - 10*v - 1197 = 0 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**2*j**2*l**2 + 2*i**2*j*l**2 + 6*i**2*j*l + 10*i**2*l**2 - 2*i*j**2*l + 2*j**2*l**2 wrt j?\nAnswer: -8*i**2*l**2 - 4*i*l + 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5 (b) -46.0104 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1663170\/(-55439))\/(2\/(-5)*(-10)\/6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 40 = 2*j - 10, -3*t + 35 = 4*j. Let a = t - 14. Let g be a\/3 - 30\/(-63). What is the closest to 1 in 5, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 437*v**7\/210 + 131*v**4\/6 - 679*v**2. What is the second derivative of b(y) wrt y?\nAnswer: 5244*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - 3*t, -2*g + g = -3*t + 1. Let j = 0 + 3. What is the third derivative of -g*i**6 - 4*i**3 - i**2 + 4*i**j wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46681755 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m + 20. Let v be q(0). Let s = -18 + v. Suppose s*a - 3*a = -39. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*u)*(-4 + 1 + 1)*(2 - 2 + 2*u)*(14 + 33 - 7).\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/18*-15*3\/(11\/(55\/(-25))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4764848 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4775.71 seconds to nanoseconds.\nAnswer: 4775710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*a = 16, -2*h = h + 5*a - 20. Let w = -54\/11 - -183\/44. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2 + 0*a**3 + 0*a + 6\/5*a**5 + 0*a**4 - 13. What is the second derivative of s(p) wrt p?\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160780937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-37)\/(-185)*-7)\/((9\/10)\/9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105.7 + -19.8. Let q = -86 + r. Sort -0.05, -0.4, q in ascending order.\nAnswer: -0.4, q, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 12) in base 3?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(240\/170) - (-6 - 0). Let v be (309\/2)\/((-21)\/(-35)). Let o = v + -10819\/42. Which is the nearest to 2\/5? (a) -0.2 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + ((sqrt(833) + sqrt(833) + -1)*-4 - sqrt(833) - (2 + 0 + sqrt(833)) - (5 + -1 + sqrt(833) + sqrt(833) - -4*(sqrt(833) + 0))))**2.\nAnswer: -213257 + 672*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -464, -462, -460, -458, -456?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2466912.\nAnswer: 2, 3, 7, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/6)\/(15\/40). Let q(z) be the first derivative of -1 + 1\/2*z + 5\/3*z**3 + 1\/2*z**5 - 1\/12*z**6 - 5\/4*z**2 - 5\/4*z**k. Factor q(j).\nAnswer: -(j - 1)**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3\/5 + 3717152*g**2\/5 + 18585636*g\/5 - 22302792\/5 = 0?\nAnswer: -929283, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose o*b + 7*b = 120. Solve 4*g - 28 = -b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 15. Calculate a(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-10))\/(385\/(-330)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 + 2*z + 1. Let q be r(-2). Let s(w) = 0 + 3*w**2 - 3*w - q*w**3 - 3*w**3 + 3 + 7*w**3. Let t be s(2). Solve -2*b = -7 - t for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmzj when four letters picked without replacement from jzjxxjxxjmjjjxcc?\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*z**6 - 8*z**3 - 10*z**2 + 8*z?\nAnswer: 2760*z**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*l = 5*l - 95510, -2*s + 4*l = -47770. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/5 + 4*o**3 - 74*o**2\/5 + 52*o\/5.\nAnswer: 2*o*(o - 2)*(o - 1)*(o + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 12. What are the prime factors of a(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -369, -367?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**5 + 683799*z**4 - 854529*z**3 - 11453253*z**2 - 7350723*z + 2564190 = 0.\nAnswer: -3, -1, 1\/4, 5, 56982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:07 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 156*l**4 - 3*l**2 + 2*l + 5 + 12*l**3 - 6 + 6*l**2 - 158*l**4 as z*l**4 + h*l + d*l**3 + k*l**2 + j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -5*l - 8, 12*f = 56*l - 58*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-15) - ((-7)\/65)\/(45\/75)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(11\/(-385)*7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15144352 divided by -4?\nAnswer: 3786088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-12)\/18))\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -113. Suppose -4974 - 691 = -j*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -18*y + 300. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5))\/(c**(-5\/4)\/c))**(-1\/89) assuming c is positive.\nAnswer: c**(7\/356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3194.\nAnswer: 2, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*d = -14984 + 14000 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*g + 3 + 5*g - 3 as c + a*g and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 - 5*u**4 + u**4)*(4*u + 0*u - 2*u) + 3*u**4 + 2*u**5 - 3*u**4 - u + 0 + 2 - 2*u**5 - 7.\nAnswer: -4*u**5 - u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.05 (b) 11908 (c) -0.2 (d) -521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, -4\/5 in increasing order.\nAnswer: -3, -4\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -40*q - 243. Let n = 305 + -314. Let k be t(n). Calculate the highest common factor of k and 195.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -106a?\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i. Let z = 3 - -15. Suppose 4*b - b - z = i. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Suppose 1 = i*p - 9. Suppose 4*t = p*u + u - 119, -u = t - 35. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6254 + 6?\nAnswer: 6260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/210)\/((-6)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yffy when four letters picked without replacement from {f: 7, m: 6, y: 3, q: 2, j: 1}?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3980 divided by 5.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 6. Let n be h(-9). Suppose 6 = -3*u + 2*y, 0 = -u - 0*y - y + n. Suppose u = 2*l - 21 + 7. Calculate the smallest common multiple of l and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txpotkopxprx. What is prob of picking 1 p and 1 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u**3 + 2*u**2 - 11*u + 6. Let o(x) = -7*x**3 + 2*x**2 - 9*x + 4. Calculate -7*o(q) + 6*r(q).\nAnswer: q**3 - 2*q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*d + 108. Let j = -15 - d. Solve 0 + 2\/7*l**j + 16\/7*l**2 + 8\/7*l - 6\/7*l**4 = 0 for l.\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 53.8. Let j = c + -5.6. Let w be 2\/8 + 25\/(-68). What is the closest to -1\/4 in -1, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11\/37, -184, 4\/7 in descending order.\nAnswer: 4\/7, -11\/37, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 704.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwd when three letters picked without replacement from {w: 1, g: 2, u: 1, s: 1, d: 2, t: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 63\/(-6))\/((-480)\/(-448)).\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32058980?\nAnswer: 2, 5, 1602949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/7*2212\/790.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-2\/11)\/c))\/(c**5\/c))**(-27))**(-19\/5) assuming c is positive.\nAnswer: c**(-2052\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29428?\nAnswer: 2, 7, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1581871 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**6\/90 - y**5\/30 + y**4\/3 - 4*y**3\/3 - 3*y. Let m(b) be the second derivative of k(b). Find d, given that m(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/19 + 60\/209. Which is the smallest value? (a) -1\/7 (b) h (c) 2\/3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c09 (base 16) in base 12?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:29 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r**2 - 3*r + 30. Let d be x(-7). Solve -4*l + 3*l + d = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 14 + -36 + 8 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + 63. Let k = -84 + s. Solve y + 4 = k*j, 18 = 3*y - 0*y + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792*s**6 - 23554*s - 505 + s**4 + 22*s**5 - 22*s**5 + 23557*s + s**2 wrt s.\nAnswer: 95040*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 1. Let m = -6 - -11. Suppose 2*q = -3*g + 3, -5 = -m*g - 0*q - 3*q. Let k be i(g). Solve 0 = 5*y - k - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 39969 and 39971 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12313 divided by -18400?\nAnswer: 12313\/18400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747061 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: Suppose -4*a - 13 - 2 = -5*i, 0 = 4*a. Suppose 0 = -2*r + 5*s - 16, -i*r - 1 = 4*s - 0. Is -2 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 24618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -9*i**4 + i**3\/3 - 2*i**2 - 3563*i - 2792. Differentiate v(y) wrt y.\nAnswer: -108*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 55 = -5*q, -2*y - 32*q = -18*q + 29*q - 142 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -753, -772, -817, -900, -1033?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6068549148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288 + 292. Let s = -23 - -26. What is the third smallest value in -2\/7, -3, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -9, 1\/5, 4\/29, 236?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 782 (b) 2\/9 (c) -10\/233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s. Let r(j) = -24 + 41 - 2*j - 10. Let u(b) = -5*k(b) + r(b). Let f(l) = -l**2. Determine u(f(n)).\nAnswer: -3*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 2*y. Let r(p) = p**2 + 3*p. Let z(i) = -9*g(i) - 4*r(i). What is the second derivative of z(w) wrt w?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 25 = -3*k. Suppose k*a - 10 = 5. Suppose 2*g = -5 - a. Is g smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(6)*2 - sqrt(6)) + -2 + sqrt(28)\/sqrt(4) + 3 + (sqrt(7)*1*-4)**2.\nAnswer: 2*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/172068 and -59\/1778036?\nAnswer: 5334108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 1052 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from pepppqepppepepeeek?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -8 - 5) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 15. Suppose 45 = -w*n + 2*n - 3*m, 3*n = 4*m - 27. Let c = 13 + n. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from fffofof?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.0809 or 1?\nAnswer: -1.0809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1880 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2836 - 1213. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/55 + (-171)\/(-285)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2300, -5 in increasing order.\nAnswer: -5, 0, 2300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12 - 3)*(-6)\/9. Let b = 32 - p. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234b3c (base 14) to base 5.\nAnswer: 302012312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**3\/6 - 79*a**2. Let q(h) = h**3 - h + 5. Determine q(y) + 4*s(y).\nAnswer: y**3 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 212480*y - 637395 = 0. Calculate y.\nAnswer: -42493, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -4. Sort 0, s, 1 in descending order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/46 and -21\/197156.\nAnswer: 197156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = -2*x + 2*h, -3*h = -4*x + 1. Suppose 3*q + 16 = 22. Suppose l = -r + 17, 0*r + q*r = x*l - 56. Calculate the remainder when l is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*a**4*r*u - 583592*a**4*r - 5*a**2*r*u - 544*a**2*u + 7664*r*u + r wrt a.\nAnswer: 2208*a*r*u - 14006208*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*d**2 - 120*d + 0.\nAnswer: -3*d*(d + 200)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 125671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3 + 14\/4). Suppose -o = -3*i - 176. Put -2, i, -1, 5 in descending order.\nAnswer: 5, -1, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 16*d**3\/3 + 128*d**2 + 170*d. Let m be v(-8). Which is the closest to m? (a) -0.08 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3163 and 31.44.\nAnswer: -3131.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*f**3 - 1\/3*f**4 + 1\/3*f**2 - 2\/3*f + 0.\nAnswer: -f*(f - 2)*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 2*r**2 - 2*r. Let w = -16 + 32. Let l = 14 - w. Let h(q) = -16*q**3 - 7*q**2 - 7*q. Determine l*h(o) + 7*v(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-2006\nAnswer: 401.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1034422.35039 + 15?\nAnswer: -1034407.35039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.2, 2, -40.1, 0.7 in descending order.\nAnswer: 2, 0.7, -0.2, -1\/2, -40.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 205. Solve 5*p - 3*p + 10 = -q*c, -4*p + 2*c + 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3202350 (base 11) to base 10.\nAnswer: 5639865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -p + 4*z + 6, p + 5*z = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*v - 1, 0 = -4*v + o + o + 28. Suppose r - v = 2*i, 6*r = 3*r - 3*i + 33. What is the remainder when 16 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/36 of a hour?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-7))\/4*-2*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184.9 in 0.4, -5, 0, -1\/4, 7, 1.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/2))**(4\/15))**11)**37 assuming r is positive.\nAnswer: r**(-814\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 25*r**3 - 4*r**2 - 13*r + 11. Let h(c) = 46*c**3 - 9*c**2 - 24*c + 22. Let k(z) = 6*h(z) - 11*s(z). Calculate k(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 13. Determine g(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053 a factor of 1239285972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 375 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6\/17))\/g**3 assuming g is positive.\nAnswer: g**(-40\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12045558829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -4*v - m, -4*v - 2*m + 25 = m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = 14*n + 6. Let v = -455\/516 + 20\/43. Which is smaller: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) + 6*22\/220.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 9, y: 1, a: 4}. Give prob of picking 2 y and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.25 + 15. Let m = q - 0.817. Let u = -1.053 + m. What is u rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*j + 15, 2*j - v = 1 + 13. Let w be 1 + 0 + (-1391)\/(-13). Suppose w - 320 = -4*c. What is the remainder when c is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4862072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 5:27 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2. Let b(v) = -v + 6. Let g be b(4). Let o(x) = 0*x**g - x**2 + 4*x**2 - 2*x**2. What is n(o(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = 2*x - 20, x + 5*d = -1. Find the common denominator of ((-49)\/33)\/((-2)\/(-6)) and (-3)\/2*(-165)\/x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 119. Let s be 3*40\/(-18)*-3. Calculate the highest common factor of s and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49382288?\nAnswer: 2, 23, 134191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -93*q**4*t**3 + 546120*q**3*t**3 - 2*q**2*t**3 + 878*q**2*t**2 - 3*q*t**2 + 2*t**3 + 727*t**2 - 4*t wrt q?\nAnswer: -2232*q*t**3 + 3276720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154926.3 hours in seconds?\nAnswer: 557734680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 3 + -2)**2.\nAnswer: 12*sqrt(13) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5095640, 10191276, 15286912, 20382548, 25478184?\nAnswer: 30573820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*c - 0*c - 9, -5*c = h - 21. Suppose -9*m = 2*z - 6*m - 2387, -m - h = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98969*x - 99039*x - 560 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1095*o + 4302. Calculate b(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -138, 5, 14, -13, -2 in decreasing order.\nAnswer: 14, 5, -1, -2, -13, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 3969.\nAnswer: 3969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*g + 891. Let i = -56 - -41. Let v be i\/6*33*(-6)\/15. Calculate the greatest common factor of v and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:54 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -7*h. Let s = 11377 + 62850. Suppose -s = -h*q - 286227. Round q to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 8) in base 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y + 6 + 19*y + 0 - 5*y**2 + 7 - 32.\nAnswer: -5*y**2 + 30*y - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105139604.\nAnswer: 2, 26284901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 - 660*q**2 + 2663424*q\/7 + 5345344\/7.\nAnswer: 2*(q - 1156)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000365853 to 7 decimal places.\nAnswer: 0.0000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -19. Is 3\/f - (-2035)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 2*l + 16, 0 = -3*z - 29*l + 33*l - 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5030 - 1114 = 886*p - 4386 - 9418 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 6:45 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -22, -38, -58?\n\"Answer: -2*h**2 - 6*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*q**4 + 2360*q**3 - 14385*q**2 + 5985*q + 2430 = 0. Calculate q.\nAnswer: -54\/7, -1\/4, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -993*r - 55*r**2 + 1973*r - 980*r in the form v*r + t*r**2 + y and give t.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 12*s + 2 = 0. Let x be 10\/(-20)*(0 + s). Is (-76*14 + 3)\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 33, 0.4, -41.63, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -0.3, 1, 952, 0.15, -1\/4, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43427 (base 9) in base 11?\nAnswer: 1a694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697674820.\nAnswer: 2, 3, 5, 71, 633257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 461169963 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*l**3 + 21*l**3 + 16*l**3 + (-4*l**2 + 67*l + 0*l**3 - 64*l + 2*l**3)*(1 + 0 + 1 + (-3 - 1 + 2)*(0 + 0 - 2)).\nAnswer: 20*l**3 - 24*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = 4*o, -4*g + o = -36. Suppose -3*x - g = 5*s - 0*s, -2*x + 20 = -3*s. Suppose x*b - 36 = -0*b. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 250, -4, -4\/51?\nAnswer: -4\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2425192.\nAnswer: 2, 7, 11, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460827940 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 106 - 38. Let u = 21 - j. Solve -v - u*v = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, k: 1}. Give prob of sequence rrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49183*p = -48909*p + 9864 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140221*q**2 - 3087*q - 4.\nAnswer: -280442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 50*i**3 + i**2 - 1. Let f be m(-1). Calculate the common denominator of (12\/10)\/((-63)\/(-70)) and f\/(-28) + (-4)\/14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 9 = -5*v + 2*d, -16 = -4*d. Suppose 0 = 4*j - v - 1. What is the second derivative of l**4 - 18*l**2 - j*l + 18*l**2 wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*m**3 - 52*g*m**2 - 18*g*m - 33*m**4 + m**3 + 96*m wrt m?\nAnswer: 6*g*m - 104*g - 396*m**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.85 - 0.659. Let u = -0.128 + p. What is u rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*g = -20, 14*i + 5*g = 189 - 114 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - f - 8. Let y = f - 1. Suppose -4*q - 4 = -h - 5*q, -y*h = 4*q - 16. Solve 2*u = 2 - h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 4246.\nAnswer: 8492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 3*r + 9*r. Let n(a) be the second derivative of 0 - 58*a + 1\/3*a**3 + 0*a**2. Determine n(v(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4\/11*u - 2\/11*u**4 - 8\/11*u**3 + 0 - 10\/11*u**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.6 - -0.4. Let j be -15 - 8*(-10)\/((-320)\/48). What is the nearest to -2 in -3, j, z, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5589 and 140967.\nAnswer: 1268703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**5 - 9*i**4 + 10*i**3 - 2*i**2 + 11*i. Let g(w) = -w**4 + w**3 + w. Let n(m) = -22*g(m) + 2*k(m). Determine u, given that n(u) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 22453723?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10095 - 10197 = -17*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 39.583008 minutes?\nAnswer: 0.0274882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -271\/5 or -55?\nAnswer: -271\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 26165480 to the nearest one hundred thousand.\nAnswer: 26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 435552286 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38741987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = -19*h - 18 + 678. Suppose -3*g + 3 = -9. Calculate the least common multiple of h and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*c**2 - 22*c**2 - 45*c**2)*(c + 3*c - 2*c) to the form p*c**2 + o*c**3 + y + a*c and give o.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(17) + 0 - (-1 + sqrt(51)\/sqrt(3) + sqrt(17) + sqrt(17))) + (sqrt(119) + -1*sqrt(119)*1)\/((sqrt(63) + 2*sqrt(63))\/sqrt(9)))**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31578 bigger than 31579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 at least -0.0555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {m: 2, z: 2, q: 1, l: 1, t: 3, v: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d + 56. Let l be z(-7). Sort 2, 3, l.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 12. Suppose 0 = 2*v - 3*v - 3. Let z be v + (-2)\/4*4. Put z, i, -4 in increasing order.\nAnswer: z, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gblb when four letters picked without replacement from bjjjbgjjjljlgjjgjb.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 11. Suppose 0 - 4 = -2*t. Suppose -3*k = t*k - 225. What is the greatest common factor of r and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3931 = 813*k - 134 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003884642 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243 and 1965?\nAnswer: 159165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576, -1153, -1730, -2307, -2884, -3461?\nAnswer: -4038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 40. Solve -3*f + 5*v + 19 = y, 2*f - 3*f - 5*v = 27 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipii when four letters picked without replacement from {p: 1, i: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b + 0*b**3 + 23 + 7 - b**3 + b**2 + 0 - 2 in the form r*b**2 + h*b + k + u*b**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*k = -25, 5*k + 0 - 2 = 4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41646982?\nAnswer: 2, 13, 47, 173, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f + 660 = -50*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 22*r**2 - 18*r + 18. Is 10 a factor of x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4144125 grams to tonnes.\nAnswer: 0.0000004144125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 0*j - 2. Suppose -3*a + 3*d + 0 = -3, -5*d = 2*a - 30. Solve 5*r + j*m = 6*m - 25, m = -r - a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**2\/2 + 1. Let a = -1 - -3. Let c(m) = -1 - 1 + a + 3*m**2. Determine c(v(s)).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -2*r + 3*c + 55, 2*c + 4 = 0. Let t be (6\/(-10))\/((-3)\/r). Let g be 4\/(-8) + 2\/t. Sort 5, 1\/4, g in descending order.\nAnswer: 5, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 12*q**2 - 20. Let d(b) = -31*b**2. Determine n(d(p)).\nAnswer: 11532*p**4 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 10:20 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -145265 smaller than -145265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/57)\/r**(-1)*r*(r**(-17)*r)\/r*r*r*r**(2\/17))**(1\/40) assuming r is positive.\nAnswer: r**(-12449\/38760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 28. Suppose 0 = d - 2*c - 3 + 2, -2*d + 3*c - 2 = 0. Is x greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0*u + 13\/6*u**3 - 42*u**2 + 3\/2*u**4 + 0. Differentiate a(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - (-1 - (-4 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*((-175)\/(-60))\/7*(1728\/(-60))\/(-12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767 is divided by 386?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:30 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*s - 257*s - 779916 = 907494. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98270 is divided by 158.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 224586594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -113688022.\nAnswer: -2\/56844011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -8576*n**2. Let v(l) = 20*l - 150. Let q(s) = -17*s + 125. Let g(j) = 6*q(j) + 5*v(j). Give b(g(a)).\nAnswer: -34304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1314*y + 54301. Give r(41).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167 - 1209177*k - 167.\nAnswer: -1209177*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Suppose u*c - 60 = -12. Solve z - 11 = 4*s, 4*s = 2*z + s - c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - (5 - 4))*(-1)\/3. Put 1\/4, 2, z, -8 in decreasing order.\nAnswer: z, 2, 1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let c(h) be the third derivative of h**4\/12 + h**3\/2 + 3*h**2. Give 3*c(q) + 7*y(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/10 + 7 + (-16367)\/65. Let f = u + 1049. What are the prime factors of f?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**12\/(((s*((s**9\/s)\/s)\/s*s*s)\/s)\/s*s**(-9)) assuming s is positive.\nAnswer: s**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/120 - j**5\/30 - j**4\/12 + j**3\/6 - 2*j**2. Let d be u(2). Let b = d + 4. Solve -m = -2*m + b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31121426 (base 8) in base 15?\nAnswer: -8a42a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4715792 is divided by 10319.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131\/630 - -1\/126. Put c, 0.1, -3 in descending order.\nAnswer: 0.1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18154 divided by -626.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2 + sqrt(612))**2 - sqrt(612)) - (sqrt(612) - (sqrt(612) + 6*(sqrt(612) - (1 + sqrt(612))))**2)) + (-1*sqrt(612))**2 + -5 + (sqrt(612) + 2)*2.\nAnswer: -48*sqrt(17) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a3359 + 3?\nAnswer: -4a3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3783 = 581*i - 201*i + 15041 + 5496 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*c**2 - 46*c**2 + 68 + 62*c - 62*c wrt c.\nAnswer: -158*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 54 (c) -2\/5 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 4*x + 5*k, -7 = 2*x - 5*k - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y + 4. Let q be 144\/(-30) + 1\/(-5). Let s = q + 2. Determine c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2380 - 738. Let a be ((-21)\/(-35))\/(2\/10). Suppose -2*z = -2*s + a*s - 327, -3*z + q = 5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 457893 and -130?\nAnswer: 458023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -1 - 2. Suppose -6*a + y*a = -48. Suppose 10 = 5*k - 3*k. Solve g - k*g = a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56909.\nAnswer: 56909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167598, -167491, -167312, -167061, -166738, -166343, -165876?\nAnswer: -165337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 19*j - 97. Let z be r(8). Are z and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 4, u: 2}. What is prob of picking 3 a and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 4*n - 14 = 0, -n = -2*y - 24946 + 24957 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-4)\/(-20))\/(-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - p + 16*p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 5) - -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 9, r: 2, p: 2}. What is prob of sequence mum?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r - 2. Let u be i(-2). Let a = 13 + -11. Suppose a*v = 10 - u. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 7:52 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48508161.\nAnswer: 3, 13, 109, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184632.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ppfpvppvrjpppjprf?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123424 - 3?\nAnswer: -1123432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 7:32 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6059?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -111, -633569, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -4 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 - t**2 - 2*t - 7. Let c be 16\/7 + (-10)\/35. Let p(m) = 2*m - 3. Let g be p(c). Let h(o) = -1. Give g*s(b) - 2*h(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315040 and 11176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29061535 by 5812307.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5660803885 to the power of 1\/3, to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.4 (c) -0.428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2. Let z(t) be the third derivative of t**5\/30 + 32*t**4\/3 - 1334*t**2. Give z(y(l)).\nAnswer: 8*l**4 - 512*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -10, -1\/5, 0.4, -2, -38189?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 6)*(-3*z - 3*z + 4*z) - 2 + 2 + 2*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31405364*u**5 + 3*u**3 + 16*u + 3807609?\nAnswer: -628107280*u**3 + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 891470791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 0 - -24 - 13 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*q = -9, 0*d + 5*q = 2*d - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)*1\/(-2). Let h = -4015 - -4019. Suppose -7*i + 8 = 5*n - 6*i, s = -5*n + 3*i - h. Which is greater: n or -16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 11 - 31. Let q = i + -8. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 u, and 1 g when three letters picked without replacement from eggeull.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r + 19. Let l(j) = 4*j - 6. Let m(o) = -7*l(o) - 2*x(o). Let d(u) = -1. Determine -2*d(p) - m(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11, -29, -81, -185, -359, -621?\n\"Answer: -3*n**3 + n**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 7*o - 6. Let a be z(6). Let h(t) = -2 + t - 3*t + a. What is h(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/3, -2\/5, -1868, 0, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.61 + -0.41. What is the nearest to o in -0.1, 2\/11, -0.8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4755 and 11729.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4\/79, 1 in decreasing order.\nAnswer: 1, -4\/79, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1779 - 1757) + (-10 - (1 + -2))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 + 3*d - 8. Let y be p(-5). Let i = 21 - y. What is the remainder when i is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9613, 19153, 28681, 38191, 47677, 57133, 66553?\nAnswer: 75931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39227 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107308*d**3 - 3*d**2 + 185988.\nAnswer: 643848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**5\/3 - 160*h**4\/3 - 992*h**3 - 17080*h**2\/3 - 40100*h\/3 - 11000 = 0.\nAnswer: -5, -3, -2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 + 0 + -6. What is the units digit of (-2 + 3)*f + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/2 and 123\/57085130.\nAnswer: 57085130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 4) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 2*u**2 - 4*u - 2. Let i = 143 - 148. Let l(g) = 4*g**3 + 5*g**2 + 9*g + 5. Calculate i*o(s) - 2*l(s).\nAnswer: 2*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*t + 220*t - 107*t)*(2*t**3 + 3*t**3 - 3*t**3) + 4*t**3 - 2*t**4 - 4*t**3.\nAnswer: -110*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*g + 50 = 190. Let j(k) = -25*k**2 + k. What is j(g)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -65849, -65866, -65885, -65900, -65905?\n\"Answer: l**3 - 7*l**2 - 3*l - 65840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/t)**(-6)\/((t*t**(-1))\/t*t*(t\/(t*t\/(t**(-1)\/t)))\/t) assuming t is positive.\nAnswer: t**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-1 + 0)*-5.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 8. What is the smallest common multiple of l(-11) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29754 < -29050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 5*w**2 - w**3 - w**2 + 2*w**3. Let z be 3 + -7 + -1 + 2. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 9:49 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:06 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**5 + 30*s**4 + 72*s**3 - 528*s**2 - 1776*s - 1440.\nAnswer: -3*(s - 10)*(s - 6)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from lplllllp?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7017603 millilitres?\nAnswer: 0.0007017603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 + 2*x - 5. Let h be j(5). Suppose 7*z = 2*z + 2*g + 88, 3*z + h*g - 28 = 0. Let p(f) = 4*f - 32. What are the prime factors of p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-105)*(-22 - -37) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7432 = -o + 4*c, -48*c - 7416 = -o - 52*c. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1300 = -2240. Does 59 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*s**4 + 23*s**3*v**3 - 27*s**2*v - 11*v**3 wrt s.\nAnswer: 696*s + 138*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/70065 and 41\/10726.\nAnswer: 4344030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/((-728)\/(-16)) - 870\/(-7). Is j less than or equal to 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/((-22560)\/6))\/((-4)\/40)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 30*n**2 + 8*n + 3. Let r(i) = i**2 + 21*i + 24. Suppose -3*y + 23 = 83. Let x be r(y). Is l(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 1. Let r = 8 + -11. Let c = 1 - r. What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 1580 = 2914. Sort y, -4, 3 in descending order.\nAnswer: y, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*k + 6\/5*k**2 - 6\/5 + 2\/5*k**3 = 0 for k.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2.397, -16, -1\/4, -4\/43 in increasing order.\nAnswer: -16, -1\/4, -4\/43, 0.4, 2.397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11\/2 (b) -4 (c) 4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481192 (base 12) in base 6?\nAnswer: 224533102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1596216 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0396242 times 0.2?\nAnswer: -0.80792484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.021 and -0.3?\nAnswer: 4.2063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -31. Suppose 0 = n*u - 5*u - 48. Let f = -15 + u. Solve f = k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -9 - 16, 0 = -x - 2*m + 18. Let t(h) = 2*h**3 - 16*h**2 + 5*h - 24. Let a be t(x). Solve -a*g + 20*g - 16 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271\/748 + 1\/748. Find m, given that 2\/11*m - z + 2\/11*m**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -1.2, 242, -23, 7?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164 - 30 - 2*r - 84 - 2*r**3 wrt r?\nAnswer: -6*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -281a - 2?\nAnswer: -2821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 341 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -81*h**3 - 7*h + 7. Let c(z) = 40*z**3 + 3*z - 3. Determine -7*c(j) - 3*y(j).\nAnswer: -37*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 787816799 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65305, 130594, 195867, 261124, 326365, 391590?\nAnswer: 456799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 470 and 29422?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 1016\nAnswer: 101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - -1. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -5)*0*4\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -42*t - 32. Determine k(-7).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21771 and 12744?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v + 48. Let i be f(10). Let m be (-19)\/(2565\/(-288)) + i\/15. What is the highest common factor of m and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/158 + -26\/711. What is the closest to x in 1, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815516 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3068*d - 5259*d = -2583*d - 36848 for d.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and 0.12?\nAnswer: 0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 5*d + 1. Let c be k(-5). Let f = 8142\/91 - 1164\/13. Which is bigger: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 times -138733?\nAnswer: 38983973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 823913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-690)\/276)\/(5\/9))\/((-15)\/(-6)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -894*n + 897*n - 48. Let l = 1402 + -234. What is the lowest common multiple of n and l?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/810*(-4)\/(5\/(5\/(-2)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o**3 - 10*o**2 + 6*o - 16. Let k be j(8). Suppose -18*s = -2*s - k. Which is the third smallest value? (a) -0.5 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 2*q**2 - 7*q - 29. Calculate a(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 12*v**5 - 36202*v**4 + 30156*v**3 + 12066*v**2 - 6032*v = 0.\nAnswer: -1\/2, 0, 1\/3, 1, 3016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -435, -826, -1221, -1620, -2023, -2430, -2841?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 3*z**4 + 0*z**4 + (2*z - 2*z + 2*z**2)*(5*z**2 + z**2 - 5*z**2) - 178*z**4 + 7*z**2 + 179*z**4 + 2*z**2.\nAnswer: 6*z**4 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/60 + 5*g**4\/24 + g**3\/2 + 4*g**2. Let k be q(-5). Does 6 divide k\/1 + 1 + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 1, u: 1, b: 4}. Give prob of sequence bg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14328 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1739*a + 1845*a - 3416*a.\nAnswer: 168*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2633560*l. Let s(f) = -8*f. Give s(b(p)).\nAnswer: 21068480*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + -6 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-45)\/(0 - (-9)\/(-6))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 70 + 165 = 3*g, -5*g + 399 = -4*s. Let t = 820 - g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -455 + 460. Does 31 divide (-14710)\/(-25) - (-3)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202125 (base 8) to base 9.\nAnswer: 111370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/3*y**3 - 5*y - 5\/2*y**2 + 0 - 1\/3*y**4 - 1\/20*y**5. Determine w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28403.082 months to millennia.\nAnswer: 2.3669235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164\/91 + -29\/13. What is the closest to -2 in 2\/11, q, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -103 + -1?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:03 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 - 5 + 0 + 4 - 6*s. Suppose 4*b + 4*m + 4 = 0, -3*m + m + 8 = -3*b. Is u(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522 divided by -9.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/2)\/w)\/(w*w\/(w**(-15)*w)))\/((w*w**(2\/47)*w*w)\/w**(1\/10)) assuming w is positive.\nAnswer: w**(-5039\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((-9)\/15)\/((-1)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21953 + 38454. List the prime factors of 2\/(-9) + d\/261.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oaokokkkooo. What is prob of sequence kao?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 4*l**2 + 13*l - 6. Let n be b(6). Suppose 14*s - 12*s - 4 = n. Solve -5*f + 7 = s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g = -4*g + 144. Let i(k) = k**3 + 9*k**2 - 13*k - 19. Let j be i(-10). Let x(a) = -3*a - 4. Let h(l) = 9*l + 11. Determine g*h(z) + j*x(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3 = 2*n, 0 = 3*n - p - 55 + 72 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 11*w. Let z be y(4). What is the remainder when 304\/z*(-6)\/(-4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (18 - 19 - (-3 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (3 - ((-8 - 7) + 3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 569395 by 433.\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 plus -209?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -2, -4 in descending order.\nAnswer: -2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20370 - 20866.6.\nAnswer: -41236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1803.9 + 1804. Which is the third biggest value? (a) -0.5 (b) 6\/13 (c) -2\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(6*b + b - 2*b) - 2*b + 3*b**2 + 2*b + 2*b**2 + 1 - 1 + (-1 - 3 + 2)*(b**2 - 2*b + 2*b) - b**2 + 3 - 3 - 3 + 3 + b**2.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 - 55. What is the tens digit of (-313)\/(-8) - -1 - m\/96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 19*a - 25 = -24*a, 5*j - 15 = -3*a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109514*h**2 + h + 82821.\nAnswer: -219028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4086051 and 9?\nAnswer: 12258153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48345944527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + -9 + 3\/(-1). Do t and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35101 - -4?\nAnswer: 35105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 + 2*a**4 - 2*a**4)*((4 + 3 - 6)*(0 + 0 - a) + 0*a + 0*a + 2*a).\nAnswer: -a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 1257.\nAnswer: -10\/1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 12. Let v = -10 + f. Solve 4*h = -v*b - 2 - 16, -4*h - 3*b = 23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from wwwwwwththw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 662147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-24 - (-959)\/161)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*(-5 + -5 + -6*(-2 + sqrt(200)*-3 + sqrt(200)) + 3))**2.\nAnswer: 19200*sqrt(2) + 461205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-702)\/21) + (-45)\/105. Suppose 2*t = 48 + 124. Suppose 0 = b - 3*o - t, -3*o - 42 = -5*b + 364. What is the greatest common divisor of b and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-20))\/(-3))\/((-6)\/(-120)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12811076?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3801 + -142022?\nAnswer: -145823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssseseessssssssees. Give prob of sequence sses.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58240 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -57. Suppose -32 - 10 = -3*f + 3*i, 38 = 4*f + s*i. Let w(p) = -8*p + 23. Let k(g) = -3*g + 8. Determine f*k(b) - 4*w(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003577246 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411309759?\nAnswer: 3, 7, 23, 851573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30562020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -70310 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from kmpsv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 7*y - 4. Suppose -4*p = -5*p - 5*w + 12, 0 = -5*p - 2*w - 32. Let s be z(p). Solve a = -3*m - 0*a - s, -4*a - 16 = 4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8600958 by -50298.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in hours?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - 18. Let y = 104 + b. Calculate the greatest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + -71. Let i be 20\/(-6)*(a + 156\/(-20)). Suppose i*c - 3 - 27 = 0. Is c greater than 46\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2\/5 - 802*a\/5 - 5776 = 0 for a.\nAnswer: -361, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.7. Let x = 5 - 4.7. Let a = v + x. Is a <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*1003.\nAnswer: 37111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538818770 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: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/86427087 and -33\/1099.\nAnswer: 604989609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 15) to base 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 9428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 3, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 589997958 + 2.6\nAnswer: 589997960.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 286914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5499, -10928, -16285, -21570, -26783?\n\"Answer: 36*u**2 - 5537*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, n: 2, x: 2, y: 1}. What is prob of sequence nn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3047*d - 3114*d - 1005 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18 (b) -935 (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310318 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 7133 (c) -1611\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.17 - -0.03. Let o = -0.9 + 1. What is the biggest value in o, 0, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - ((sqrt(187) + 1*sqrt(187))*6 + sqrt(187)))\/sqrt(11).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(1573) + sqrt(1573))**2 - sqrt(52)*-2).\nAnswer: -31480 - 460*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 g, and 1 q when three letters picked without replacement from {g: 4, a: 1, o: 2, q: 1, z: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3811575868.\nAnswer: 2, 37, 25753891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286\/547 or 1?\nAnswer: 286\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021296774 rounded to seven decimal places?\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 5*q + 9, 0 = 2*n + q - 3. Suppose 4*d - n*y - 2*y = 20, y = -4*d. List the prime factors of 6 + 1\/(d - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 5*w**2 + 7*w + 15. Let g be o(-6). Let p = g - 41. Let x be (-3 - 136\/p)\/(1\/12). Calculate the highest common divisor of 120 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/2)\/(2*7\/28). Which is bigger: -6\/35 or r?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -108\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/49)\/(2\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11562*h + 23225*h - 11662*h + 124*h**3.\nAnswer: 124*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 137 - 103 = 0. Let r = -129 + 229. Suppose 10 = -3*w + r. Calculate the highest common factor of w and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4272 - 38456\/9. Which is the smallest value? (a) 0.5 (b) -1\/3 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 5*b + 504, 3*o + 0*o - 504 = -3*b. Let r be 5013\/o*(-44)\/18. Let g = r + 489\/7. Find the common denominator of g and 119\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 162 + -267632?\nAnswer: -267460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 5:45 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -28421049 and -75333?\nAnswer: 28345716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5022350 is divided by 388.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 10*t + 10 = 0. Solve -3*s + 3*g - 5 - 1 = 0, -t*s - 2*g = -18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -49 (b) 0 (c) 0.07 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -32 in descending order.\nAnswer: 4, 2, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 122*c + 123. Is m(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - -1) + 30\/(3 - 8). Let i(a) be the first derivative of 15\/4*a**4 + 9 + d*a**3 + 0*a**2 - 4*a. Find the first derivative of i(l) wrt l.\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 - g**2 + 2*g + 2*g**2 - 2*g + (5 - 5 + 1)*(g**2 - g + g) - 4 + 4 + 10*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 + p**2 - p - 3. Let i(t) = -t**3 + 1. Let d = 11 + -6. Suppose 0 = 2*c - 3 - d. Suppose 0 = -0*m - c*m + 12. What is m*i(f) + g(f)?\nAnswer: 2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -105a + -6a?\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwmvmbvbvwbmw. Give prob of sequence vv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1818*s**3 - 1170 wrt s.\nAnswer: 5454*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108448 and 448.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -247, -498, -749?\n\"Answer: -251*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 6*k - 2. Let x(r) = 13*r - 4. Let w(l) = 3*x(l) - 7*y(l). Let c(f) = 6*f - 5. Let a(t) = -6*c(t) - 13*w(t). Give a(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxvvvxvvv. What is prob of sequence vvxv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = -725661 - 64534. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109663999*0.5\nAnswer: 54831999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7 = 4*n, 4*n - 43 + 44 = -3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172278 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36023)\/(-234) - (-1)\/18. Is a greater than 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18163*x - 4640*x + 4112 - 4112.\nAnswer: 13523*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/3 + 5 - 43\/129?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**16*a*a*a**(-37) assuming a is positive.\nAnswer: a**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/(-4))\/(-9))\/((-65520)\/(-910)).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 - -12011010201?\nAnswer: 12011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27024, 13\/5, 3 in descending order.\nAnswer: 3, 13\/5, -27024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 50*a**2 + 20*a + 211. Is i(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 637*v**3 + v**2 - 2*v + 1. Let t be l(1). Suppose -5*j + 5*q + 800 = -0*j, -4*j + 3*q + t = 0. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4758 + 4764.762. Let p = 0.012 - k. Let n = 7 + p. Round n to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*p = -32, 2*j - 34 = -5*p - 42. Let q be (-1)\/(-1 + (-4)\/(-6)). Suppose -q*n = -4*n. Solve -3*c - 2*x - 4 = n, 1 = -4*c - x - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0)**2 + -3 + ((sqrt(208)\/sqrt(4))\/sqrt(4) - sqrt(13))**2 + (-1*((sqrt(156)*2 + sqrt(156))*-3)\/sqrt(12))**2.\nAnswer: 1063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 10*f - 18. Let g be a(3). Suppose 10*w - g*w - 14 = 0. Suppose -w*s = 2*s - 36. Calculate the highest common divisor of 27 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6320646 rounded to the nearest 1000?\nAnswer: 6321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 19649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 2093*a - 2094.\nAnswer: (a - 2094)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = -2*z + 56 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 562382011950 less than 1?\nAnswer: -562382011949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 3*g - g + 3*g - 5*g + 0*g + (0 - 3 + 1)*(2*g - 1 + 1) - g - g + 3*g - 2*g + 0*g + 0*g - 29*g - 3 - 6 + 10 + 2 + g - 2.\nAnswer: -37*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 158*r + 22. Let a(y) = 29*y + 4. Let h(l) = 11*a(l) - 2*b(l). Let m(q) = -391*q. Give m(h(w)).\nAnswer: -1173*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2*p**5\/25 - 3*p**4\/20 + p**3\/15 + 9. Determine g, given that c(g) = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299\/(-10825)*20\/(-3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -664231\/2 - -332117. Find f such that -1\/4*f + w - 1\/4*f**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/44)\/((-18)\/864).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29323 + 2?\nAnswer: 29325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 1, 12*w - 14*w - 4*k + 14 = 0. Let n(s) = -11 - s**2 + 2 + 1 - 2 + w*s. Suppose 0 = 5*m + d + 4*d - 20, 5*m + 2*d = 32. Calculate n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from iyi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -106990846 divided by -3\nAnswer: 106990846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13154 + 3?\nAnswer: -13151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*y + 159*y + 0 + 0.\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -22. Let w = 1 + k. Solve -i - i - 2*o + 10 = w, -i + 9 = 2*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2440421377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.219 + -0.119. Is 3.5 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:22 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -7 - 8) + 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -4. Let b be 3*14 + -1 + 4. Let u be b\/20*(-32)\/y. Solve -a - u = -3*s - 2, 4*a = 3*s + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-84)\/(-14)))\/((-21)\/36)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t + 454476879 = -605*t + 9351504079. What is t rounded to the nearest one hundred thousand?\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w - 1007 = -5*m, 2*w - 5*m = -501. Let r = w - -255. Which is bigger: r or -7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 3213103?\nAnswer: -3213101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-2))\/(6\/8). Let k be (18 + 0)\/(2\/16*12). What is the greatest common factor of k and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 1544*u**3 + 153556*u**2 - 880080*u + 1299600.\nAnswer: 4*(u - 190)**2*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + q = -174187, w = 13*q - 14*q + 43553. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -9. Suppose 0 = 5*p - p - r. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, -0.2, -0.67, 0.152 in increasing order.\nAnswer: -0.67, -0.2, 0.152, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1700*b + 2 - 1 - 1703*b)*((0*b**2 - 2*b**2 + b**2)*(0 + 0 - b) + b**3 + 0*b**3 + 0*b**3).\nAnswer: -6*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7485052.\nAnswer: 2, 1871263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 555787\/1442208 + 2\/45069. Find the common denominator of 59\/16 and m.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 12:06 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 25. Let t be (2 + (j + -3 - -19))\/2. Solve 2*q - t = -4*s, -3*q + 2 = -4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24356.7 + 24357. Let r = 7 - 4. Which is the closest to 6? (a) r (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 21. Calculate the remainder when 55 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g - 6. Let j = g + -7. Let s(r) = -r**3 - 11*r**2 + 11*r + 2. What is the units digit of s(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244074727.\nAnswer: 13, 18774979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -247*p**2 + 3. Let s(a) = -1982*a**2 + 987*a**2 + 994*a**2 + 4 - 4. What is g(s(m))?\nAnswer: -247*m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - v + 17 = 4*d, -5*v + 8 = 4*d. Let i = 8 - d. Let c be 12476\/16 - i\/(-4). Round c to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**(2\/3)*a*a*a)\/a)*a)**(-2\/19))**(-1\/22) assuming a is positive.\nAnswer: a**(-2\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 2*x - 3*x)*(-3*x + x + x) + (-3*x - 3*x + 3*x)*(2*x + 0*x - 4*x) in the form m + k*x + n*x**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 118, 122, 128, 136, 146, 158?\n\"Answer: p**2 + p + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -4. Let d = i + -6.3. What is d rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 144\/(-7) + 10\/(-100)*-130?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -731*o - 141. Calculate the remainder when w(-2) is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**2 + 3*q + 4. Let c(g) = -5*g**2 + 4*g + 5. Let i = 18 + -22. Let p(a) = i*k(a) + 3*c(a). Calculate the remainder when p(-2) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0864 - -0.05117. What is n rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 3\/17, 4, -9, -6\/5, -5 in descending order.\nAnswer: 129, 4, 3\/17, -6\/5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 48494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 times -0.05?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7513 - -3463. Let h = 32493\/8 + p. Calculate the common denominator of 77\/20 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -2 + (-5 + 1 + sqrt(700) + sqrt(700) - (-1 + sqrt(700)*-1))).\nAnswer: -2 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7674693\/265 or 28961?\nAnswer: 7674693\/265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142*b**2 - 67*b + 737.\nAnswer: 284*b - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + -291. Let d = z + 458. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - 44 - (4 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 60 + 144. Let k = -68 - a. Solve -2*b + 2 = c, k*b - c = -5*b + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) - -1*sqrt(1900) - (sqrt(19) + -6*(-1 + sqrt(19))).\nAnswer: -6 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/15 + 29*i**2 - 2*i. Let w(c) = 15*c - 21. Let v(r) = -3*r + 4. Let h(n) = -21*v(n) - 4*w(n). Determine b(h(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 times -0.01?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 8*f**2 + 20*f + 14. Let m be c(-10). Suppose m = 3*t + 8. List the prime factors of (-158)\/(-1 - (t + -2)).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4742 + 6646. Let b = -24 + 27. Suppose 4*h + 9584 = -b*w, -v - 10916 = 4*w - 5*h. What is w rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(21 - 636\/30). Let d = -8 - -5. Suppose 12 = 5*x + 2*h, -h + 3 = -4*x + 10. Sort x, r, d, -5 in descending order.\nAnswer: r, x, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13522 + -13410. What is the remainder when j is divided by 95?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 x, and 1 p when four letters picked without replacement from cxcphkxocopc.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*d**2 + 72*d - 12.\nAnswer: -3*(d - 2)*(11*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1983148 by 4.\nAnswer: 495787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 9685 = -5*u, 2*u - 3874 = -2*d - 0*d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2636 - 1306. Let c be z\/(-42) - (-4)\/6. Let d = c + 28. What is the closest to -0.2 in 2, 7, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263883.\nAnswer: 3, 87961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4798 + -3 + (-30)\/(-6) + -5. Calculate the highest common factor of 35 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7958\/5 less than -291\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, c: 1, u: 1}. What is prob of picking 1 e and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 - -36. Let f(n) = -41*n**3 + 42*n**3 + 4 + b*n + 0*n**2 + n - 5*n**2. Give f(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082042003 to four dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 44459005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = g + 2*l, 0 = -2*g - l + 8. Suppose -p = -g*p + 66. Let c = p - -15. What is the remainder when c is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**2\/2 + 5. Let v(i) = -16*i**2. Calculate o(v(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) + -2)*1)**2 + -6*2*sqrt(832))*-5 + 2.\nAnswer: -18 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18144361 or -18144357?\nAnswer: -18144357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3)*(-5)\/(-30)*3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53514023 (base 6) to base 5\nAnswer: -401040303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 15 = -17. Solve -1 = i - z*v, -4*i - 2*v - 4 = 3*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13*s**2 - s + 2. Let y be t(-3). Let k(o) = 35*o + 4. Let z be k(-6). Let w = y - z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 44*m**2 - 60*m + 48. Let g(b) = -23*b**2 + 30*b - 24. Let u(n) = 11*g(n) + 6*h(n). Is u(8) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 11*m - 10*m)*(2 - 4 + 1 - 6 + 3 + 4 + (0 + 2 - 1)*(2 + 3 - 3) + 3 + 1 - 3 - 1 + 1 - 1 - 82 - 18 + 3).\nAnswer: 665*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*v**4 - 7975*v**3 - 1619226 with respect to v.\nAnswer: 36*v**3 - 23925*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**4\/36 - 4*b**3\/9 - 2*b**2 - 287*b. Factor x(m).\nAnswer: -(m + 2)*(m + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 3828?\nAnswer: 99528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -20.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.79998103 - 287.8. What is n rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2220 and -31\/220?\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**2 + 24*h - 24. Let u(z) = -z + 1. Let i(q) = 48*u(q) + 2*w(q). Let k(f) = f. Determine i(k(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c + 16. Let d(v) = -2*v**3 + 11*v**2 - 6*v - 4. Let s be d(5). Let b be l(s). What is b rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h + 54918 - 93382 = -3311*h + 123586 for h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -218\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*v + 250*v - 127*v - 36117*v**2.\nAnswer: -36117*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*m**2*o + 3*m**2 + 1212*m*o wrt m?\nAnswer: 484*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 453322?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p. Let n be 9\/(-6)*-4*1\/360. Let i(u) be the third derivative of n*u**5 - 3*u**2 + 0*u + 0*u**4 + 0*u**3 + 0. Give j(i(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167.8 + 168. What is the biggest value in -1\/7, f, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 5:34 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385 + 381. Suppose -w - 1 = -0. Sort h, w, -5 in descending order.\nAnswer: w, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 26 = -2*r, 2317*w - 2315*w - r + 11 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.46393 - 169564?\nAnswer: -169568.46393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 278?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a = -5*l + 5, 0 = -3*a + l + 7. Suppose 5*i = a*z + 2821, -i - i + 4248 = -3*z. Let y = 2098 + z. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 0.037525611714\nAnswer: -0.362474388286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13212*f. Let o(h) = -108*h + 32. Determine n(o(a)).\nAnswer: -1426896*a + 422784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97568858 * 4.\nAnswer: 390275432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -42902\/49, 3\/5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20410982 to the nearest integer?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/4 + 139833*r\/4 - 139839\/2.\nAnswer: 3*(r - 2)*(r + 46613)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 4*c, -3*c - 20 + 2 = 5*n. Which is greater: c or -27\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2076 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 43576.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - 2.6. Let g be (-6)\/2*(-1)\/(-15). What is the closest to d in g, -1, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12954523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgg when three letters picked without replacement from gmxxmg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/76 in 74, -5\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4350 + -4353. Sort g, -4, -18, -5 in decreasing order.\nAnswer: g, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13944)\/(-35))\/((-6)\/(-20)). Sort -1, 3, w.\nAnswer: -1, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1722*x**2. Let m(h) = -h**2. Give u(m(y)).\nAnswer: 1722*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76183511 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420907 is divided by 1725.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8825\/2 - -4413. Determine d, given that -g*d**2 - 3\/2*d + 2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 5. Let r be o(-8). Suppose 9*n - 3*l = 7*n - 5, -4*n - 1 = -r*l. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 5375*n - 5370.\nAnswer: -5*(n + 1)*(n + 1074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -322 divided by -44727?\nAnswer: 322\/44727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888 + -1763 - (1 + 44)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 441 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 times -1024091?\nAnswer: 686140.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21113, -28451, -35789?\n\"Answer: -7338*o - 13775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4022, -16175, -36454, -64859, -101390, -146047, -198830?\n\"Answer: -4063*y**2 + 36*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -13700\/1053 and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -208. What is the greatest common divisor of 28 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -98*j**2 + 52*j**2 + 75*j**2 + (4*j + 0*j - 2*j)*(0 + 0 + 1)*(-4 - 1 + 2)*(0*j + j + 2*j) in the form q + y*j + l*j**2 and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 17663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:12 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b + 29 - 29)*(4 - 4 - 2) as q*b + i and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83951 and 20167?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.385 + 0.115. Sort -0.4, 4, a.\nAnswer: -0.4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + 1. Let y be 7 - 0 - (l - -2). Suppose -3*b - 5*k - 15 = -2*b, 2*b = -y*k - 18. Sort -3\/5, b, 5 in decreasing order.\nAnswer: 5, -3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5 = -3*d, 4*d + 24 = -3*t - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -112 - -167. Suppose -3*p + j + 65 = 0. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119456974, 119456976, 119456978, 119456980?\nAnswer: 119456982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 17. Suppose -5*t + 5*r = -18 - 17, 5*t + 3*r - 19 = y. Solve -4*w = -2*f + 12, 5*w - 10*w - 15 = -t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7981842 to two dps.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 6, -2*y - 14*j = -10*j - 1904. Let u be ((-1)\/2)\/(3\/(-24)) + y. Round u to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.119304ml to litres.\nAnswer: 0.009119304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 - -563. Let q = -390 + c. Which is smaller: q or 1.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.028454 and 32.4.\nAnswer: -0.9219096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -2\/15, 1.2, 11?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**6\/10 + 33*f**5\/14 - 39*f**4\/28 - 55*f**3\/7 + 48*f**2\/7 + 32*f + 1. Suppose i(a) = 0. Calculate a.\nAnswer: -16, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 13*o**2 - 23*o - 9. What is y(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**2 - 6 + 6 - 3*a**3 + 18*a - 20*a to the form y*a**3 + n*a**2 + z + l*a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*b + 6, -2*b + 14 = -5*b + 5*x. Let s be (-10)\/(-3)*(b + 4). Solve 4*q + 0*j = -j + s, -4*j = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2*-6)\/(-1) - 0. Let r be 19 - l - (-4 + (-4 - -10)). Which is greater: 21 or r?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:52 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 2 - 7 + m**3 - 1 in the form n + u*m**2 + p*m**3 + i*m and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/9 - 197950*z**3\/9 - 197944*z**2\/3 + 8*z\/9 + 791776\/9 = 0.\nAnswer: -98972, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 23 = -2. Let u = -3 + o. Let v = -692 + 692. Solve v = j - u*l + 5 - 0, j = -3*l + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66698448 divided by -4?\nAnswer: -16674612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*5\/(-200)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*o = 10117, 0 = -6*o + 11*o + 10. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/81))**(4\/23) assuming r is positive.\nAnswer: r**(8\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 1. Let z be b(3). Let i(s) = z*s - 4*s - s. Let u(f) be the third derivative of f**4\/12 - f**2. Calculate i(u(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.294 + 26.994. Let j = i + 91.3. Let m = -118.00053 + j. Round m to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 31*v + 2 - 25*v - 3*v.\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24772 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/38*(-64)\/240. Let q = 1.1 - 1.4. What is the biggest value in q, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 36 = -2*n + 4*v, 120 = 5*n - 5*v. Suppose c + n = 6*c. Solve c*u - 2*u - 6 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 2*j + 31. Suppose 7*y = 11*y - 72. Let l be 1\/3 - (1 - -5)\/y. Is 15 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.41 and 520.\nAnswer: -9573.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 5*k**6\/21 - 2*k**5\/5 - 11*k**4\/14 + 2*k**3\/3 + 6*k**2\/7 + 169. Solve f(a) = 0 for a.\nAnswer: -1, -3\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) -2 (b) 4 (c) 0 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 156*y + 4*y**2 + 156*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 151*u - 29. Let x be 2 + -2 + 11 + -1. Is w(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1548)\/430)\/(7\/(-70)*1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 3*a)*(24 - 13 + 32).\nAnswer: -129*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + 2*(sqrt(1584) - (sqrt(1584) + 1))) + -1*(sqrt(1584) + 0)*4 + 5)**2.\nAnswer: -1248*sqrt(11) + 25513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -7. Is h + -2 + 54\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -11. What is the remainder when 34 is divided by 1*(-3)\/z + 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 0*k + 0*k + 3*k**2 - 403213 + 403115.\nAnswer: k**2 - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*u + 110*u - 63*u - 2 + 2 + 2*u + (u + 0*u + 0*u)*(5 - 4 - 3) - 2*u - 2*u + 3*u - 4 - u + 4.\nAnswer: 121*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by (-4 + 9 + -17)*-8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*-3 + -2)**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b9 - -4?\nAnswer: -9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -l - 5*k, -4*l + k + 0*k - 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, b: 6}. What is prob of picking 1 g and 3 b?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/15 and (-312)\/(-260)*16\/(-66).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -362*s + 179.\nAnswer: -362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 times -0.41?\nAnswer: -18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n - 2034 - 5358. Let i = 2466\/7 + n. Let m = -0.1 - -0.2. Which is the closest to -0.04? (a) i (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 59, 347 in increasing order.\nAnswer: -4, 59, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 3*q**6\/40 + 7*q**5\/10 + 3*q**4\/8 - 8*q**3\/3 + 499*q**2 + 1. What is the second derivative of a(t) wrt t?\nAnswer: 54*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 2*f + 14447 + 6586 = 0, y + 2*f - 4205 = 0. Suppose y = 3*d + 1060. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21527\/46 - 468. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 3, b: 1, v: 3, j: 9}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(99) + (sqrt(99) - ((sqrt(99) - sqrt(99)*-1*4) + sqrt(99))) + sqrt(99))\/(-1*sqrt(81) - sqrt(81)) - ((sqrt(99)*2)**2*-1 - -5*2*sqrt(275)).\nAnswer: -99*sqrt(11)\/2 + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75934967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -122*h**3 - 2569*h**2 - 45*h - 39. Calculate y(-21).\nAnswer: -2181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*w - 154*w = 340. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*w - 20 = 0, 803 = -a - 11*w + 807 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-47)\/(-6))\/((-8)\/6) and 5428\/(-607) - (18\/108 - (-165)\/(-18)).\nAnswer: 4856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 3 - (10 + 0)) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/5))**(-11) assuming a is positive.\nAnswer: a**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {o: 2, t: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3912313 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/((-10)\/(-15)). Let t(l) = 3*l**2 - 1 - 5*l**c + 2. Let s(f) = -6*f**2 + 3. Let o(j) = -4*s(j) + 11*t(j). Find the first derivative of o(g) wrt g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 74 - 3*h - 2*h + 50. What is the units digit of n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.053660795?\nAnswer: 0.21464318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) 1\/22 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400743001?\nAnswer: 37, 91911973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109506 is divided by 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 7*v + 3. Give j(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-1))\/(1116\/(-1116)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 4*z - 3*z + 15 + 6*z. List the prime factors of r(0).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 30299?\nAnswer: -30298.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110011110101100 - -100111?\nAnswer: 1110110011111010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from siqsisw.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:07 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38962 and 1532454.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - 2. Let i(x) = x. Let t be i(0). Which is bigger: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 + -0.1. Let x(q) = q**3 - 10*q**2 - q + 8. Let n be x(10). What is the nearest to 0 in 4, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1722397 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) - 4\/(-8). Suppose 4*y + a - 12 = i, y - a - 2 = 0. Suppose 3*k + 5*t - 4 = 2*k, y*k + 3*t - 24 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7110544256 - -54.\nAnswer: -7110544202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -292 - -296. Let y(z) = z**2 - 6*z - 3. Determine y(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 2*c**2 + 16*c + 18. Let h be n(-1). Solve j + 12 = 2*j + 4*b, -h*b = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 11 + -352 + 342\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192095 and 927?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.96 - 0.04. Let y(k) = k**3 + 20*k**2 + 22*k + 57. Let o be y(-19). What is the nearest to r in o, 1, 6\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6328669, 6328676, 6328687, 6328702, 6328721, 6328744?\n\"Answer: 2*b**2 + b + 6328666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-15) + 174\/(-30) + 6. Factor -1 + g**x - 4 - 109*g - 3*g**2 + 100*g.\nAnswer: (g - 5)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*z**3 + 3 + 370*z**3 - 3 + 370*z**3.\nAnswer: -47*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4531 (base 7) to base 5.\nAnswer: -23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aooo when four letters picked without replacement from {a: 5, l: 8, o: 3}?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 2. Let k be o(-7). Let j(g) = g + 12. Let w be j(k). Suppose -w*x = -2*x - 18. Calculate the remainder when 69 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -63568\nAnswer: 635.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2504008g in nanograms?\nAnswer: 250400800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/14 + 25\/35. Let n(o) = 0*o**2 + 7*o**2 + o**2 - 2*o**2. Calculate n(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228*s - 193070 = -30974 for s.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 58?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(294))\/sqrt(7) - sqrt(42))\/(sqrt(3)*2*-3))\/(((sqrt(70) + sqrt(70)*1)*6)\/((sqrt(60)\/sqrt(3))\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42\/191 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**19*m*m*m**(-6\/5) assuming m is positive.\nAnswer: m**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6404, 7745, 11380, 18455, 30116, 47509, 71780?\nAnswer: 104075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from derkrrkrddkdr. Give prob of picking 1 k and 1 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 + 45*r**2 - 18*r + 39. Is 24 a factor of u(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*106\/(-8)*-26*(-3)\/117*-1.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 13) in base 10?\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**2*w*y + 1996388*s**2 - 327*s*w*y + 67*s*w - 30076*y wrt y?\nAnswer: -2*s**2*w - 327*s*w - 30076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + (-2 - (-240)\/27). What is the fourth smallest value in q, 0, -3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2824684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 - -0.35. Let o = 0.03 - 0. What is the nearest to o in c, 0.5, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-1\/4)\/g)\/g)\/g**(-7)*g**(5\/2)*g**(-2\/17))**(-35) assuming g is positive.\nAnswer: g**(-19355\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + o + 4 = 0, -2 - 2 = -5*j + o. Suppose j = 5*u + 3*z - 6*z - 52, -4*u = 2*z - 24. Calculate the smallest common multiple of 12 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 2*b + 140 = 0, 4*g - 2*b + 156 - 49 = 2*g - 73 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1085.9 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -145, -221, -301?\n\"Answer: -2*t**2 - 66*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*s - 48*s = 18*s - 1635 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.009 (b) 1 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (5 - 11) + -4 - 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 44*t**2 + 0*t**4 + 3*t + 2*t**2 - 9*t**4 - 8*t**4 + 10*t**4 as v*t + k*t**3 + q*t**4 + s + c*t**2 and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 11*t - 29. Suppose w - 5*o = -2, 3*o + 25 + t = -4*w. Calculate the least common multiple of (-3)\/w*6*(21 + -1) and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 617, -0.5, 0, 32, 0.2, -9 in ascending order.\nAnswer: -9, -0.5, 0, 0.2, 32, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121033 in -5, -4, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5283047672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -13*b**3 - 4*b**2 + 4*b + 1. Let d(s) = s**3 + s**2 - s. Give 4*d(i) + v(i).\nAnswer: -9*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 + 2493\/11. Let o be ((-3553)\/(-22))\/((-762)\/34). Let g = -5\/127 - o. What is the common denominator of g and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4443460 (base 7) to base 5.\nAnswer: 120024240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 + 2*y**3 - 21*y**2 + 104*y\/3 - 16.\nAnswer: (y - 4)*(y - 1)**2*(y + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 - 11*h**2 + h**2 as k + b*h + s*h**2 and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (6*-3*sqrt(25))\/sqrt(5).\nAnswer: -18*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**2 - 13749*l + 14285016 = 0. What is l?\nAnswer: 1592, 2991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*2*1. Let u be 5 + (0 - p) + -1. Put 1, u, 3 in ascending order.\nAnswer: 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11203, -2, 14 in descending order.\nAnswer: 14, -2, -11203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 303*d**3 - 6*d**2 - 3*d - 3. Let n(y) = 71508*y**3 - 1414*y**2 - 707*y - 707. Calculate -707*h(j) + 3*n(j).\nAnswer: 303*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15c - -a?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -41\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-494)\/(-507))\/(39\/(-9) + 4) - -3\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-1))\/(-4 - -5). Suppose t = c - 4*c + 117. Suppose 23 = 13*w - 250. Calculate the remainder when c is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -1ad?\nAnswer: 1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 to the power of 1\/2, 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 {b: 4, y: 1, s: 6}. Give prob of sequence ssss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/11 + 1480*q**3\/11 + 105890*q**2\/11 + 404240*q\/11 + 299832\/11 = 0?\nAnswer: -62, -3, -1, 806","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011012 (base 3) in base 9?\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -175 + 212. What is the least common multiple of w and 7?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7071683 smaller than -49501780\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009614891 rounded to six dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 142*g**2 + 16310 - 74*g**2 - 66*g**2 to s + t*g + q*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -229 - -187. Is g greater than or equal to -83\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2\/13 (c) -47.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y - 1 - 16. Put -2, y, 0, 5 in decreasing order.\nAnswer: 5, 0, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61313380 to the nearest integer?\nAnswer: 7830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1121079319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b*b\/((((b\/((b**(3\/4)\/b*b)\/b)*b)\/b*b*b)\/b)\/b)*b)\/b*b)**(2\/19)\/(b**(2\/39)\/b*b**(-3\/8)*b))**(1\/53) assuming b is positive.\nAnswer: b**(3635\/314184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -419*s**8\/56 - 2*s**4\/3 + 43*s**3\/6 - 103*s + 2. What is the third derivative of a(b) wrt b?\nAnswer: -50280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7152 divided by 298\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21606 by -26.\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(4\/15))**(-47) assuming a is positive.\nAnswer: a**(-188\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*l + 3*z - 5, -z + 51 = 4*l. Let f(x) = -l*x + 5 - 4 + 19*x. Calculate f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*u + 20. Suppose -u*w - x - 4 = -100, 73 = 4*w - 3*x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.4 (c) -0.116 (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 158451555 to the power of 1\/2, to the nearest integer?\nAnswer: 12588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 6, s: 4, g: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.1205 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15786803 is divided by 15786764.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**39*b)\/b*b**(-42)\/b*b)**(-1\/4) assuming b is positive.\nAnswer: sqrt(b)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441 - -646. List the prime factors of f.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 324*p - 1968. What is the remainder when h(10) is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7176570.\nAnswer: 2, 3, 5, 139, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 + ((-4)\/(-1))\/1. Let u be (7\/(-378))\/(c\/(-19362)). Let h = u + 391\/4. What is the common denominator of h and 25\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/195013096 and -25\/2?\nAnswer: 195013096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**3 + k. Let s be w(-1). Is 0 + s - 10\/5 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/4)\/((-1)\/(-2)). Suppose 0*j + 210 = c*j. Suppose 2*p = 4*p - j. What is the remainder when 81 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {n: 1, f: 1, u: 1, x: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -578, -3, -4 in increasing order.\nAnswer: -578, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -6. Let t = u + 10. Suppose -3*g - 2*g = -2*p - 12, t = g - 2*p. Solve -2*j - g = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39896, 39925, 39968, 40031, 40120, 40241, 40400?\n\"Answer: y**3 + y**2 + 19*y + 39875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-34)*t)\/t)**(5\/9)*(((t**(4\/5)*t)\/t)\/t)\/(t\/(t\/t**26)) assuming t is positive.\nAnswer: t**(-2029\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2919*a + a**2 + 2315*a + 2993*a)*(2 + 3*a - 2) to the form q*a**3 + k + s*a + o*a**2 and give o.\nAnswer: 24681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123434263?\nAnswer: 17, 7260839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 41. Suppose -36 = -3*g + 12. Suppose 14*q = 3*a + 18*q - 28, 0 = -4*q + g. Solve 0 = -0*u + a*u + y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g**2 - 4*g - 6. List the prime factors of v(4).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255 - 254.8. What is the closest to 1 in -2, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*m = -192*m + 1204638. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-3))\/(-30))\/((-10)\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u**3 - 7*u**2 - 7*u + 2. Let w(a) = -51*a**3 + 19*a**2 + 20*a - 6. Give -11*b(h) - 4*w(h).\nAnswer: 6*h**3 + h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.26, 33, 2, -0.02 in increasing order.\nAnswer: -0.02, 1.26, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.7 - 2.1. Let b = -0.9 + j. Let v = -4.3 - b. What is the nearest to -0.2 in 0.4, v, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1163*c - 591*c - 604*c - 2 as u + q*c and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2046 and 2728?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v. Let p(s) be the third derivative of -s**4\/24 + 260*s**3\/3 - 2526*s**2. What is u(p(o))?\nAnswer: -7*o + 3640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799815 a multiple of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0498533 and 0.1?\nAnswer: 0.0501467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 - 4*k**2 + k**2 as g*k + y*k**2 + x and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -13 + 4. Solve -l = 2*x + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1835.2 - -125\nAnswer: 1960.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62488 and 5910518.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113005 and 400?\nAnswer: 9040400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x + 1 + 4*x**3 + 14*x - 6*x to g + t*x**3 + w*x**2 + s*x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*l + 12, -10 = -s + l - 2. Suppose -2*b + j = -4, 5*b - 2*j + 5*j - s = 0. Calculate the least common multiple of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 226675365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*((-667)\/(-261))\/(2\/(-24)) is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + f - 2*f**2 - 39 + 0*f**2 in the form i + m*f**2 + d*f and give i.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/3*(-1)\/2. Suppose -60 = -3*w - s*w. What is the remainder when 22 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42500 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrprrrrprrr. What is prob of sequence rrp?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488529662?\nAnswer: 2, 197, 1239923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 639 = 684. Let c(k) be the first derivative of k**4\/4 + 7*k**3\/3 + 9*k**2\/2 + 16*k + 1. Calculate the remainder when c(w) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -85*a**2 + 17941*a - 1170. Determine p(211).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -35*y - 79. Let u(g) = 17*g + 37. What is 4*l(c) + 9*u(c)?\nAnswer: 13*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 6) to base 10\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 155, 233, 323, 431, 563, 725, 923?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 27*u. Let b(y) = -53*y - 1. Give -2*b(f) - 5*d(f).\nAnswer: -29*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - c = -2*q + 7, 4*c - 4 = 0. Suppose -5*n - 5*b + 60 = -n, -5*n = 5*b - 80. Calculate the greatest common divisor of n and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + 1. Let t be j(0). Let x(v) = -v**3 - 15*v**2 - 12*v + 31. Suppose -6*n + 49 = 133. Let f be x(n). Solve f = 4*c - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 21 = 3*m, d - 12 - 5 = m. What is the greatest common divisor of d and 274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l + 2. Let a(o) = 143*o + 33. Let m(f) = -2*a(f) + 33*i(f). Let v(d) = 2*d. Determine m(v(k)).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - s**2 - 4*s**2 + s**2 + 0*s**2 + s**2 + (-s + 3 - 3)*(-3*s + 4*s - 2*s) + 9 - 9 + 20*s**2.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**2 + z - 1. Suppose 12 = -4*b, -4*b - 14 = 5*s - 4*s. Let c be ((-2)\/(-2))\/(s\/(-2)). Let v be t(c). Is v smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/28500 and -13\/36?\nAnswer: 85500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4))**(-4\/11)*((j*j\/(j\/j**8)*j)\/j)\/j**(-3\/10) assuming j is positive.\nAnswer: j**(993\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (20 + (-19 + 11 - (6 + 0))) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leeeleelleeeeeelee. Give prob of sequence le.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 - 5*i**3\/6 - 3*i**2\/2 - i. Let q be ((-1440)\/(-56))\/9*7\/1. Let z = q + -15. Give r(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/68*4\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047551426 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 28 = -3*z, 5*z = 4*z + 4*w + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12313110 (base 4) to base 13.\nAnswer: -ca4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1969866, -3939339, -5908812, -7878285, -9847758?\nAnswer: -11817231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (19 + (-1 - (-1 + -9 + 20)) + 83).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 92*f**2 + 4*f - 1. Let k be t(-3). Suppose -4*a - a = -k. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1896 and 47\/45504.\nAnswer: 45504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o + 0 + 0*o**2 - 1\/6*o**3. Let x(z) = -z**2. What is n(x(d))?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (6\/3)\/(-2). Factor -h**3 + 5*h**5 + w*h**3 - 4*h**5 - 3*h**5.\nAnswer: -2*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3159915l in millilitres?\nAnswer: 315.9915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259142 = 2*w + 2*v, 3*v = -5*w - 173766 + 821621. Suppose -6*r - 513571 = -w. Round r to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2*u - 6, u = 5*s - 0 + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n - 216 = 75*n. What is the smallest common multiple of 132 and n?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0895 minus 1536.94?\nAnswer: -1537.0295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 620\/7. What is the nearest to -1\/38 in -2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q**2 - 18*q. Let v(n) = 28*n**2 + 27*n - 24. Let b(y) = -18*y**2 - 18*y + 15. Let g(o) = 8*b(o) + 5*v(o). Determine -5*g(a) + 2*x(a).\nAnswer: 2*a**2 + 9*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -562630000 rounded to the nearest 1000000?\nAnswer: -563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 87\/12 - (-2)\/(-8). Suppose d*b - 2*b - 165 = 0. Let j = b + -5. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39854 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 195 = -57*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 390690.\nAnswer: 4297590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27480256081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17507*j**2 - 105010*j + 84. Determine z(-6).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 5*u - 6*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/1051 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4 - 3*y**2 - 41*y - 42*y + 85*y. Let p(n) = -6*n**2 + 5*n - 10. Let l(w) = -5*o(w) + 2*p(w). Let f(a) = -4 + 4*a + 2 + 2. Give f(l(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 782 - 559 = 78*i - 635 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 110\/12 + 232432\/95520\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 401, 5 in increasing order.\nAnswer: 3, 4, 5, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293380.\nAnswer: 2, 5, 11, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43319929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 74 - ((-1 - -6) + 2 - 2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g - 5. What is m(-5)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 464\/496) + ((-926)\/(-62) - -2). What is the second smallest value in 5, p, -0.5, 2\/15, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 2, q: 1, w: 3, z: 2, u: 3}. Give prob of picking 1 z and 3 l.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -6. Suppose -2*z = -4*a + 12, 2*z + 33*a = 28*a + 24. What is the derivative of 2 + t + 7*u - z wrt u?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/2)*a\/(a**(-4\/3)\/a*a))**(2\/113)*a**(-3)*a*a**4*a*a**2\/((a*a\/a**(2\/15))\/a) assuming a is positive.\nAnswer: a**(7061\/1695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/60*(42\/12 - 5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324216689*a**2 - 2950*a + 7186 wrt a.\nAnswer: -648433378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 81 = 14*f. Let j = 99 - f. Let x = j + -10. Calculate the remainder when 30 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -488*m - 2*f - 1 = -483*m, 0 = 4*m + 5*f + 28. Solve -m*b = -5*s + 21, -5*s = 116*b - 113*b - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 2311*v - 156075. Give q(64).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3142*p**2 - 91119*p - 8. Determine u(29).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2*o + o**3 - o - 2*o - 11*o**2 + 9*o**2 as i*o**3 + x + m*o + s*o**2 and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -64.61 and 275557.\nAnswer: 275492.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8552\/(-840) + 3\/(-15). Let d = 82\/7 + q. Solve 0*c**2 - 2\/3*c**5 + 0*c**4 - 2\/3*c + d*c**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22170783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 56. What is c(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*f + 5*g + 2, -2*f = 2*g + 2. Let l = f + 2. Suppose 3*q = -5*i + 88, 2*i + 2*q = l*q + 44. Calculate the smallest common multiple of i and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23656046371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1265269 millilitres?\nAnswer: 0.0001265269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 703661012*q + 61892352476108018 = 0. Calculate q.\nAnswer: 175915253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/156 and 13\/11569524.\nAnswer: 150403812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0. Let u(p) = -p - 5. Let q be u(-5). Put q, 4\/5, m in increasing order.\nAnswer: q, m, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-45) + (-6)\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/4 - 4) + (-169)\/(-1). Let s = 382 - p. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7162669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-6))\/(131\/(-4847)*-37).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19197166081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 + 2*o + 2. Let p be t(-1). Let u be (-6)\/24 - 25\/p. Let h = u - 4. What is the greatest common factor of 5 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-98)\/(-12) - 36\/(-216).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 765 + -750. Find t, given that -u*t + 9 + 199*t**2 - 15*t + 9 - 2*t**3 - 185*t**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 4. What is y(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 12*u + 20. What is the third smallest value in 5, 0.5, u, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 5*p + 12. Suppose 10 = 2*b - 2*t, 9*t = b + 4*t + 7. Let l be r(b). Calculate the remainder when l\/(-22) + (-6)\/33 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 31. Let m(b) = 3*b**2. Determine m(n(y)).\nAnswer: 3*y**2 - 186*y + 2883","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + a?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/5 (b) -5 (c) 1\/6 (d) -1 (e) 0.2147 (f) 1\/16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3759\/2 - -1894. Let s(y) be the second derivative of 0 - 16*y + 0*y**3 + h*y**2 - 7\/6*y**4. Find the first derivative of s(z) wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 19, 27, 53, 103, 183?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10236 = 4*g, -6*g + 3*d - 10228 = -10*g. What is the highest common factor of g and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18656069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s = -7515 + 10739 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**7\/4200 + n**6\/1800 + n**3\/2 + 3*n. Let f(q) be the second derivative of a(q). Determine j so that f(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 29*n - 170. Let y(g) = 86*g**3 - 2*g**2 + 3*g - 2. Let d be y(1). What is the highest common divisor of n and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1330, -10546, -35482, -83974, -163858, -282970, -449146?\nAnswer: -670222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 7*b + 2 - 6*b + b**2. Let h(s) = -s**2 + s. Let c(t) = a(t) - 2*h(t). Differentiate c(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3377, -3819, -4261, -4703, -5145?\n\"Answer: -442*x - 2935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83687 - 83683. Let 8\/3*p**2 - 2\/3*p**u + 58\/9*p**3 + 0 - 40\/9*p = 0. Calculate p.\nAnswer: -1, 0, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 23 = -5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = -3*d + 12, -5*g - 35 = 5*d. Which is the third biggest value? (a) 0.5 (b) d (c) -11\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(18\/(-20))*(-4)\/(-90)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/7)*g)**(3\/19)*(g**(1\/4))**(2\/127))**(-2\/49) assuming g is positive.\nAnswer: g**(-9277\/827659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 1, l: 6, k: 3}. What is prob of sequence hki?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u + 10. Let i(v) = 3*v + 3. Let f(g) = 7*i(g) - 2*k(g). Suppose 0 = -a - 2*d - 12, -5*a + 2*d + 53 = 161. Let x = a + 24. Determine f(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 5 = 3*l, -6*l + 1 = 3*s - 4*l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17\/4 + 3\/(-12). Let y(m) = 17*m - 7. What are the prime factors of y(o)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**2 - 52*h - 10. Determine c(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2481745 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 (188650\/10780)\/(((-75)\/10)\/(-3*6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + w = 5, 173*c + 1 = 169*c - 3*w for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1196*a + 14343. Calculate u(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**19\/b)\/b)\/b)**(7\/3)\/(b**(1\/13))**(-5\/7) assuming b is positive.\nAnswer: b**(10207\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 87?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t**(-2\/5)*t**4\/t**(-2\/23))\/(t**(-6)*t\/(t\/t**0))**(-16) assuming t is positive.\nAnswer: t**(-11306\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 + 10*h - 18. Let c(j) = -3*j**2 - 9*j + 18. Let r(w) = 5*c(w) + 4*t(w). Is r(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 229.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 16*f + 18*f - 49 = 0, 4*j - f - 4*f - 50 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 43*t**2 - 17*t + 42. Is 18 a factor of m(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 19*q - 12*q = 12*q - 4, -k - 3*q = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*k - 16131, 3*d - 8*d = -3*k - 26885. What are the prime factors of d?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -758 divided by -6?\nAnswer: 379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 155, 264, 373, 482, 591, 700?\n\"Answer: 109*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 3*x + 4. Let h be m(3). Suppose -h*y + 32 = -48. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 7 = -7. Let b = w + 11. Let g(j) = -j - 2. What is g(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29230 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 409603 and 7059.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 6*l - 9. Let d be 18\/4 + 4\/(-8). Let u be t(d). Solve -v = 2*v - u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.5, 0.3, -98?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 10*n - 8. Give p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 485001 + -716.113\nAnswer: 484284.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*4\/6 - -5. Let k(x) = -3*x**2 + 0 + 0 - 3*x**3 - 2 + 5*x**b + x. Let n be k(2). Solve -5*d + n = -6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299)*-4 - (-1 + (sqrt(1216) - sqrt(19))).\nAnswer: -51*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1115*t = -1116*t - l - 2, 3*t = -l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 + 81. Suppose -o*j + 171 = -j. What is the remainder when j is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2535.4 + -2536.4. What is the closest to l in -2\/19, 6.4, -1\/15?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-7))\/(l*l\/(l\/((l\/l**(-1\/2))\/l)*l)*l))**(17\/3)\/((l\/(l\/(l**(2\/3)*l*l))*l)**(-3\/4)\/((l**(-3)\/l*l)\/l**5)) assuming l is positive.\nAnswer: l**(-505\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -850 at least as big as -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 50?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 20. Let j be w(10). Suppose 3*p = -4 + j. Suppose p*u = -u + 24. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -139.7 and 4915039.\nAnswer: 4914899.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 4. Let y(n) = n + 12. Let d(l) = 11*a(l) + 4*y(l). Let j(w) = 63*w - 35. Let c(b) = 35*d(b) + 4*j(b). Let m(t) = -5*t**2. Calculate c(m(z)).\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-112)\/(-175))\/4)\/(((-1456)\/(-210))\/26)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/20)\/(6\/2085). Let j = 146 + -86. Let r = o - j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8, -4*d = -3*b + 7 + 187. Let i = b - 10. Suppose 4*z - z - 45 = 0. Calculate the greatest common divisor of z and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 5*o**2 + 0*o**4 - 1\/40*o**6 + 53\/210*o**7 + 9\/5*o**5 + 0 + 22*o + 1\/6*o**3. Find the third derivative of w(x) wrt x.\nAnswer: 1272*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 + 34454*p\/15 - 13780\/3.\nAnswer: -2*(p - 17225)*(p - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*v - 164 - 43*v - 46*v - 1048 + 130*v as w*v + y and give y.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*h + 2*f = 23, -3*h - f = 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (3 + -4 + 3 - -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34292 - -34290. Let a(u) = 105. Let k(s) = 13. Let h(b) = 6*a(b) - 49*k(b). Let n(l) = l - 14. Give m*n(g) + 5*h(g).\nAnswer: -2*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2120, -2777, -3426, -4067, -4700?\n\"Answer: 4*n**2 - 669*n - 1455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.91 (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2603295*b**3 + 370*b**2 - 5835?\nAnswer: 15619770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m + 3*m. Let u be -2 + (m\/1 - -3). Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus -3.9?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, d: 2, l: 7}. What is prob of picking 1 d and 2 g?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w - 1. What is the remainder when a(-6) is divided by 6\/(-1)*4\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(22\/70) + 1*(-38)\/209.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8*c**2 - 1. Let d be k(-1). Let a(u) = -2*u**2 - 8*u + 11. Let s be a(-5). What is the highest common factor of s and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 9*y - 10*y + 19*y - 1 + 2*y**3 to the form n + l*y + k*y**3 + i*y**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2922072 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -12*g**2 + 6*g + 7. What is u(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = o - 278614, -6*w + 9*w = o - 208960. Is 19 a factor of 4\/3*w\/(-104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 5*l**2 - 2. Let y = 6 - 11. Let o = -4 - y. Suppose m + 2*h + o + 2 = 0, -m + 4*h - 9 = 0. Calculate v(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 2*w + 4. Suppose -2*p - 23 = 5*r - 0*p, -12 = 3*p. Let s(d) = 0*d + 2*d + 0*d**2 + d**2 + 3. Give r*q(k) + 4*s(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1698779 divided by 6.\nAnswer: 1698779\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11108*h - 11141*h - 3304*h.\nAnswer: -25553*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**4\/8 + 3*m**3 - 15*m**2 + 5*m - 1. Factor q(t).\nAnswer: -3*(t - 10)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 37*u - 1 - 16*u - 20*u - 1. Let k(m) = -m**2 - 4*m + 3. Let f be k(-4). Give x(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddododddfoddddd. Give prob of sequence ddod.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.8, -10, 5\/4 in increasing order.\nAnswer: -10, -3.8, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 27 = 7. Suppose 0 = j*t - 0*t. Suppose -f - 3*v + 4 = t, -3*f + 4*v - 4 = 10. What is the nearest to 2\/5 in f, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 4) + 0 + 154\/19 - 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2317668 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21721.89cm?\nAnswer: 217218.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -131, -366, -677, -1064, -1527, -2066, -2681?\n\"Answer: -38*x**2 - 121*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p + 3*l + 12 = 0, 3*p = l + 6. Let h = -392213119797\/325228352 + 1\/6136384. Let s = -1206 - h. Are p and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411826 (base 11) to base 6\nAnswer: -22100552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-six fifths of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-13)*2\/(-7))\/((-40)\/14).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 750*u - 2880 + 5*u**3 + 398*u + 84*u - 32*u - 140*u**2 = 0?\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 86\/89, 0.5, -0.4 in descending order.\nAnswer: 2, 86\/89, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + 3 + -1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2*z**3 + 68*u**2*z**2 - 815*u**2 + u wrt z.\nAnswer: -6*u**2*z**2 + 136*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**3 - 8220*p**2 - 327*p + 10 wrt p?\nAnswer: 6*p - 16440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11526800, -11526805, -11526810?\nAnswer: -11526815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3 + 13. Let l be (n - 2) + (-4 - -6). Sort -3, 0, l.\nAnswer: -3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*l - i - 2*i, 3*i = -2*l + 15. Suppose -4*z = -3*s + l, 2 - 6 = -4*s - 5*z. Suppose 4*n - 8 = 12. Put s, -3, n in ascending order.\nAnswer: -3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640524 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111112102 (base 3) to base 13.\nAnswer: -105b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/26)\/v*(v*v**(-1\/18))\/v)**(18\/13) assuming v is positive.\nAnswer: v**(-256\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -741 + 688. Is f at most as big as -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + d + 1251*d**3 + 905*d**3.\nAnswer: 2156*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.163222049 to four dps.\nAnswer: -0.1632","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 - -1363?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.03, -4\/3, 46090, 0.5, -0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 4. Let p(b) = -2*b - 7. Suppose 2*g = 1 + 21. Let c(i) = -i + 5. Let j be c(g). Give j*p(q) + 10*k(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/9 + 7636138*o\/9 + 15272252\/3 = 0. Calculate o.\nAnswer: -3818063, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 872 = -9*v. Suppose -20*y + v = 9. Solve 7*p - 2 = y*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4397 is divided by 1465.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/12)\/3*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00101428 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27998 or -24\/11?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d**2 - 61*d - 2. Does 20 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2347 + -30509\/13. Which is the smallest value? (a) q (b) -2 (c) -26 (d) 0 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 + 153028*j\/3 - 51010.\nAnswer: 2*(j - 1)*(j + 76515)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9240 - -30045. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 3*l + 5*l + 44*l**2 - 35*l**2 + 2*l**3 - 2*l to o*l + q*l**3 + v*l**2 + n and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719836?\nAnswer: 2, 23, 40433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 133 + 1 + -6 + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*i + 5*g + 206, 4*g = -2*i + 78. Suppose -3*t + 20 = v - 17, 3*t - 32 = -2*v. Calculate the remainder when i is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4675 times -47430?\nAnswer: -22173.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6136 or -30686\/5?\nAnswer: -6136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -235, -965, -2191, -3913, -6131, -8845, -12055?\n\"Answer: -248*m**2 + 14*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 2. Let u be j(-2). Differentiate 18*a - u + 9 - 9*a with respect to a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 6:11 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385888 to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*a = 2*a - 6, 5 = 4*n - a. Let h(g) = 5*g + n - g - 2*g + 17*g**2 - 8*g**2. Let v be h(-1). Which is smaller: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 4*a = 2*a + 68. Suppose h*r - a - 38 = 0. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9110 and 455960966?\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 4*z**3 + 8*z**3 - 4*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - -18 - 2\/(-1). Calculate the remainder when 22 is divided by (-6)\/2 + 1 + u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5\/2 - 8531*i**4 + 51193*i**3\/2 - 17065*i**2 = 0. What is i?\nAnswer: -17065, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 - 116.7. Let t = 310 - n. Which is greater: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-641)\/1*348\/204. Let u = 1093 + o. Let m = -1\/34 + u. Put m, -3, -4 in descending order.\nAnswer: m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 5377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*-14.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4*c - 12 = 0, 3*c - 27 = -3*k. Suppose -k*x = -x - 22. Suppose 5*i = 25, x*i + 140 = 4*b + b. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*v**3 + 494*v**2 - 1124*v + 320.\nAnswer: -2*(v - 80)*(v - 2)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 38022\nAnswer: -1\/19011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 (base 8) in base 11?\nAnswer: -158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40789 and 40789?\nAnswer: 40789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llcclc. Give prob of sequence cc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 15. Let j(z) = 2*z + 15. Let i(w) = 4*j(w) + 3*u(w). Let k be i(10). Let r be (-3)\/((-3)\/(-4))*k. Which is greater: r or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*s**3 - 2*s**3 - 3*s**3 + (2*s**3 - 3*s**3 - s**3)*(-112 + 189 - 8) as n*s**2 + o + f*s + u*s**3 and give u.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0561117 - 24.0554217. Let m = -3.99992 - z. Let i = -20 + m. Round i to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15*d + 21. Calculate the remainder when 102 is divided by y(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5*b - 54 = 0, -f + 4*b + 815265 = 815257 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, v: 1, t: 1, b: 6, p: 1}. Give prob of sequence kpt.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 13*n**2 - 12*n - 7. What is i(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1618 (base 10) to base 16.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 2*i)*(-1 - 2 + 2) - 3*i + 3*i + i + (-5 + 1 + 2)*(0*i + i - 3*i) + 1 + i - 1.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*v + 4*j**4 + 22*j**3*v*x**3 - 3*j**2*v*x**3 - 8*j**2*v*x + 7*j**2*x**3 wrt j.\nAnswer: -48*j*v + 96*j + 132*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ng when two letters picked without replacement from xnggxnxxgnxxnx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15651 is divided by 356.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 + 4.7. What is the smallest value in -1, 0.5, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.51, -3.4, 3\/22 in ascending order.\nAnswer: -3.4, 3\/22, 2.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9 = 8. Let k be (41*c\/2)\/(1\/(-96)). What is the tens digit of k\/28 - 2\/21*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 47*b + 6. Let n(u) = -118*u - 15. Let d(p) = 4*n(p) + 10*o(p). Let h(x) = 4*x + 1124. Determine h(d(i)).\nAnswer: -8*i + 1124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856314662.\nAnswer: 2, 7, 61165333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/110916 and -125\/948?\nAnswer: 110916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -399 divided by 579?\nAnswer: -133\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9554 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-22) - (-6)\/(-33). Let y = -8.8 + 9. Sort a, y, 1 in ascending order.\nAnswer: y, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14131 + 27269 + c - 13138.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 21d073?\nAnswer: -21d070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 25, 0*g - g + 3*s = -32. Solve 45*c = g*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434, -1756, -3954, -7022, -10954, -15744, -21386, -27874?\nAnswer: -35202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 11*o + 9. Let u(r) = 5*r**2 - 12*r - 9. Let f(j) = 5*u(j) + 6*x(j). What is f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 27*i**2 + i - 17. Determine q(27).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2222, -2230, -2238, -2246, -2254, -2262?\n\"Answer: -8*b - 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:22 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + -5*(-4 - 1). Calculate the common denominator of ((-3)\/(0 - 3))\/(v\/(-87)) and 73\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.53671 to the nearest integer.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1325aa5 - -3?\nAnswer: 1325aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -5639.8 (b) -5 (c) 2\/13 (d) -267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m + 15*m + 17*m - 18*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*v - 16*v + 13*v)*(30 - 39 - 36) + 15 - 15 - 21*v as x*v + c and give x.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 16 = -2*t, 0 = -3*n + 24*t - 19*t - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2204301430 to the nearest integer?\nAnswer: 46950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2. Let f(p) = 22*p**2 - p. Determine w(f(b)).\nAnswer: 3388*b**4 - 308*b**3 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let c be (-38)\/(-171) - 82\/(-36). Let s = 109 - 765\/7. Put s, j, c in ascending order.\nAnswer: s, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/63 + -1\/7. Let t = 5 + -8. Let y = 3.6 - -0.4. Which is the third smallest value? (a) t (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l + 11. Let w(i) = 29*i + 21. Let s(u) = 11*b(u) - 6*w(u). Let y(m) = 9*m + 6. Give 6*s(z) + 5*y(z).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 74898040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*l**3*m**2 - 6*k*l**3 - 10*k*l**2*m**2 + 12*k*l + k*m**2 + 21*l**3 wrt l.\nAnswer: -12*k*m**2 - 36*k + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1111111111101?\nAnswer: -1111111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.927 rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 4*l - 4. Let u(o) = -o**2 - 3*o + 3. Let q(i) = 3*k(i) + 4*u(i). Let w(v) = 22*v**2 - 15*v**2 - 17*v**2. Calculate w(q(s)).\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1011000001100001101?\nAnswer: -1011000001100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441703 is divided by 318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**28\/d)\/(d*(d**(-27)\/d)\/d*d) assuming d is positive.\nAnswer: d**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 1:37 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k + 4. Let f be (-74)\/(-14) - (-4)\/(-14). Let g(l) = 9*l - 4. Let t(a) = f*g(a) + 6*r(a). Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317779 (base 11) to base 3\nAnswer: -221210220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582031 - 45479.3.\nAnswer: 536551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (4*sqrt(204)*-2 - sqrt(204)) - sqrt(204) - -2*sqrt(204)*-1)\/(sqrt(108) - (-1*sqrt(108) - sqrt(108) - sqrt(108))*-3).\nAnswer: -7*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.3 + 9.7. Which is the closest to -2? (a) 0.5 (b) m (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000100501 to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44678 and 1255?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - h**3 - 157 - 4*h - 315 + 475. Give k(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7649 - 1289 = 187*c + 2095 for c.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -516 - -667. What is the closest to 5 in c, 2\/13, -2\/19?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awgnggggggggwgtgzggz. What is prob of sequence wgg?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -62708876.\nAnswer: -62708876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 - 3*j**2 - 7*j - 1. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 10*h\/9 - 28\/9.\nAnswer: 2*(h - 2)*(h + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 6, z: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*s**3 - 52*s**3 + 0*s**2 - s**2 - 3*s**2.\nAnswer: 3*s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12)**(-16)*(((o*o**(-5\/6))\/o)\/o)**(-1\/23) assuming o is positive.\nAnswer: o**(-26485\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(5\/(-4))*5*5\/(-850). Sort 0.1, 10, -5, -1, y in decreasing order.\nAnswer: 10, y, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*i**2 + 4085*i + 4 - 2138*i**3 + 2139*i**3 - 8*i**2 - 3 wrt i.\nAnswer: 6*i - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**1)**(-14)\/(p\/(p\/(p*p**(2\/7))))**(2\/29))**13)**32 assuming p is positive.\nAnswer: p**(-1189760\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53252682, 106505374, 159758066, 213010758, 266263450, 319516142?\nAnswer: 372768834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -596 - -562. Let p be (-1 + 2\/4)*-84. Let j = p + a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 minus 0.0121?\nAnswer: -1.3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -609765.11 and 1.8.\nAnswer: -609763.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22*g**3 - 5*g - 5. Suppose 0 = 291*b - 287*b - 132. Let n(v) = -b*v**3 + 174*v - 79*v - 87*v + 8. Calculate -8*j(o) - 5*n(o).\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -37\/169721 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1 (b) 1.4 (c) 3\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 838688271 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from boobzzzbzbozm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -731, -725, -719, -713, -707, -701?\n\"Answer: 6*m - 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-325)\/1170)\/((-10)\/6)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 6*g = -36. Let l be (-2)\/g + 8\/24. Is l greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -214, -957, -2238, -4105, -6606, -9789, -13702, -18393?\n\"Answer: -8*f**3 - 221*f**2 - 24*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 94 * -0.25816\nAnswer: -24.26704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 45050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 14, 117982, 3, -1 in descending order.\nAnswer: 117982, 14, 3, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7268814731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/24 (b) 2 (c) 56 (d) -1\/4 (e) 62.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -1 (b) 257 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41a - -72?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 988425149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v. Let g(m) = -m**2 - 23. Calculate f(g(c)).\nAnswer: -11*c**2 - 253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80857, -80856, -80855, -80854?\nAnswer: -80853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 938 - 94*a**3 + 943 + 96*a**3 + 938 - 2819.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 7, -1\/2, 3, -19.7, -2\/7, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3346 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217 is divided by 240.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*j = 24, -74*f - 75 = -78*f - 5*j. What is the smallest common multiple of 24 and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, d: 5, s: 1, j: 3, n: 2, f: 1}. Give prob of picking 1 f, 1 r, and 1 j.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 445 divide 796904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((33 - 50) + 32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnse when four letters picked without replacement from senseccnrcreenwsees?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 17. Let t be s(-10). Let b(z) be the first derivative of 2\/3*z**3 + t*z - 4 - 3\/2*z**2. Calculate b(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12273 is divided by 54?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36853425 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 73.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*g - 37*g - 22. Let t(n) = n**3 + 7*n**2 + 6*n + 4. Let m be t(-6). Suppose -12*j**4 + 26*j**4 - 8*j - 18*j**4 + 8*j**3 + m*j**g = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.7 - 6. What is the closest to s in -1\/3, 0.3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129779 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38835)\/(-105) + 1\/7.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 5*v**2 + 2*v - 6. Let j be y(5). Suppose q + 8 = k - 8, 0 = -k - j*q + 1. Let h = 1 + 25. What is the greatest common factor of k and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179220 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-3)\/252)\/(64\/416*65\/20)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 2\/9, -3\/7, 1\/26?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u + 21. Let t(s) = s + 1. Determine -p(i) + 21*t(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515 + 34*u**2 - 17*u**2 - 20*u**2.\nAnswer: -3*u**2 + 515","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22724 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 6 = 2*m + 2*s, 2*s = m - 9. Suppose -2*y = 2*z - 22, 18 = 3*y - 7*z + m*z. What is the least common multiple of 1 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, q: 3, h: 3, f: 2}. What is prob of sequence hqf?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - 2*y - o, -o - 5 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 34677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -43)\/((-99)\/(-30) + -3). Let q = g - 94. Let p = 125 - q. What are the prime factors of p?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -11070\/2269?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1804 is divided by 226.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156371221.\nAnswer: 151, 1035571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**6\/120 + v**5\/60 - v**4\/24 + v**3\/2 + v**2. Let p be a(0). Factor 0*k - k**p + 1\/3*k**2 + 0 - 1\/3*k**5 + k**4.\nAnswer: -k**2*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 v when three letters picked without replacement from svvivrz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 537146 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10840 and 56910.\nAnswer: 227640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -31. Let h = -6 - r. Solve -4*t - j + 5 = h, 4*t + 3*j = -0*j + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 29 = 3*h. Let r(o) = -o - 1. Let f(n) = -n**2 + 6*n + 6. Determine h*r(y) + f(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - g)*(-3*g**2 + 2*g**2 - g**2)*(43*g - 39*g - 25*g).\nAnswer: 42*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 - 8*p - 7. Let q be u(-6). Suppose 0 = -3*l + q + 1. Suppose 0*v - 3*v + 3 = 0. Put 3, v, l in decreasing order.\nAnswer: 3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 387, 906, 1643, 2604, 3795, 5222?\nAnswer: 6891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/12 and -14\/69?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 159. Let v be 51\/9 + -6 - 2\/(-6). Is m(v) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.823 + -6.57. Round l to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -312, -516, -774, -1104, -1524, -2052?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from {k: 2, s: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**3\/3 - 1189*z**2\/3 + 156625*z - 20578125 = 0.\nAnswer: 375, 439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4694 - -4?\nAnswer: 4698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + ((sqrt(108) - sqrt(108)*1) + -3 - sqrt(108))**2 + -1.\nAnswer: 42*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/35)\/((-27)\/(-90))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5\/4, -2, -20.8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 87*b**2 + 900*b - 53. Calculate the remainder when w(-11) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -14 - (80 - 96).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -790, -808, -790, -700, -502?\n\"Answer: 6*j**3 - 18*j**2 - 6*j - 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 h when three letters picked without replacement from {b: 3, h: 4, t: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.44258 and -50024?\nAnswer: 50024.44258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 4. Let n(y) be the third derivative of y**4\/24 + 101*y**2 + y. Give n(a(k)).\nAnswer: 3*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let h(o) = o - 4. Let g(u) = h(u) - 4*m(u). Let n(c) = 232*c - 6*c**2 - 232*c. Determine g(n(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 (base 3) in base 4?\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhm. What is prob of picking 1 h and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77714 = 3*m + 77684 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -11\/5, -2\/7, 2\/5, 987, 0, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1048594 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109940488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 227663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-64) + (-5)\/8. Let v = -40.2 + 40.2. Sort -0.3, p, -0.5, v in ascending order.\nAnswer: -0.5, -0.3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 24*a**2 - 132*a - 14. Give x(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 + 1 + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 39, -4.\nAnswer: -4, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**3 - 2*h**2 + 23. Let z(u) be the first derivative of -3*u**4\/4 - u**3\/3 + 11*u - 1338. Determine 4*l(d) - 9*z(d).\nAnswer: -d**3 + d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4.7. Let v = 2.116 - 0.016. Let s = -2 + v. Which is the nearest to s? (a) 5 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.977 times -7\nAnswer: -160.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3\/6 - 3*u**2\/2 - u. Let o be i(5). Let z(s) = s**2 + 4*s**o + s**2. Let p(a) = -2*a. Calculate p(z(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-6)*m\/m**(2\/3))\/((m*m**(1\/3))\/m)**(21\/2)*(m**(-1\/2)\/(m*(m\/(m**(-5)*m))\/m))\/(m**4*m*m\/((m**(-2\/17)*m)\/m)*m) assuming m is positive.\nAnswer: m**(-448\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -2*sqrt(171)*1 - (2*4*sqrt(171) - sqrt(171)))\/(-3*-2*sqrt(900)*-6) + -2.\nAnswer: -2 + sqrt(19)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9 + (-10 - -8 - -7 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/59 or 746?\nAnswer: 746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73*r - 19*r - 1153*r**2 + 92*r + 2281 wrt r.\nAnswer: -2306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 5, -1, 4\/5, -3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78614 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 74. Suppose m - r*x = 380, x = -3*x - 4. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8191 - -2*195\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 59, 89, 119?\n\"Answer: 30*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1134359120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*c + 12 = -53, 5*m + c - 59 = 0. Let t(d) = -d**3 + 4*d**2 + 7*d - 6. What is the remainder when t(4) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + 4*g**2 + 3*g + g. Let v(m) = 7*m**2 + 7*m - 24. Let c(k) = 20*k**2 + 20*k - 68. Let b(w) = -6*c(w) + 17*v(w). Give 4*b(y) + x(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 399\/5. Let r = 9 - 2. Let y be (-87)\/(-315) - 1\/r. What is the second biggest value in y, 1\/2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 47 = -5*r + 97, 4*r = 2*t + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = 36*q - 297. Solve 9*s + q + 9 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -648, -984, -1316, -1638, -1944, -2228, -2484?\nAnswer: -2706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 527667 < 527665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.175403 and 3122984.\nAnswer: 3122967.824597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1721 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 + p. Let a(x) = 3*x**2 + 5*x - 1. Let u = 264 - 265. Calculate u*a(j) + 6*i(j).\nAnswer: 3*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/48 + x**3\/6 + x**2\/2 + 23*x - 12. Let p(t) be the first derivative of m(t). Factor p(w).\nAnswer: (w + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1*i**(-2\/5))\/(i**(1\/4))**10 assuming i is positive.\nAnswer: i**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*z = -76*z. Let w = 0 + 0. Solve w = 5*y + 10, z = -2*p + 2*y - 0 + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0523 and -26512.\nAnswer: 1386.5776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2609322138?\nAnswer: 2, 3, 144962341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 1 + 2 + 3 - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -1*(3 - 2). Put 1, 3, t in descending order.\nAnswer: 3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = 4*g, -81*g + 26 = -77*g - 2*x. Suppose -u - 112 = -5*u - 5*l, u = 2*l + 15. Calculate the remainder when u is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676671, -1353343, -2030015, -2706687, -3383359?\nAnswer: -4060031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/4 + (-24)\/96. Suppose -3*c = y*t - 2*c, 4*t - 2*c = 0. Let r(j) = -j**2 - j - j**3 - 4 + 3 + 2*j. Determine r(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 207241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(420)*-2)\/sqrt(10))\/((sqrt(36)*2)\/sqrt(6) + sqrt(6) + 5*sqrt(24)) + 2.\nAnswer: -12*sqrt(7)\/13 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 480009*k**6 + 45*k**3 + 2400029*k**2 + k.\nAnswer: 57601080*k**3 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697488110 to the power of 1\/5, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 10*k - 16 = -r, r - 10 = -2*k. Which is the third smallest value? (a) 1 (b) -9 (c) -17 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.25 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 5*l. Let w be (-3)\/(3\/(-2))*3. Suppose w = l*d, -3 = -3*f - 0*d + 3*d. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 5*x**2 - 3*x + 2. Let z be w(3). Solve -z*o - 6 = 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h**3 - 21*h**2 + 10*h + 5. Let n(i) = -6*i**3 - 32*i**2 + 16*i + 8. Give -5*n(c) + 8*z(c).\nAnswer: -26*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 47 - 40*i - 309*i to c + b*i and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 93. Suppose u + 35 = -3*u - d*b, -2*u - 4*b = 30. Let s(h) = -h**3 - 6*h**2 - 10*h + 7. What is the units digit of s(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -213c7c5 + 1?\nAnswer: -213c7c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2. Let p(x) be the first derivative of -x**4\/6 - x**2\/2 - 4. Let n(r) be the second derivative of p(r). Give n(a(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216995028.\nAnswer: 2, 3, 43, 71, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a**2 + 44761669 - 44761669.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/10, 0.29, -3, 3\/5 in ascending order.\nAnswer: -3, -1, -1\/10, 0.29, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + 3*p - 3. Let j(t) = -7*t**2 + 4*t - 4. Let d(m) = 4*a(m) - 3*j(m). Let l(s) = -2*s. Calculate d(l(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*n + 17*d**2 + 21*d*n + 2*d + 4*n - 18 with respect to d.\nAnswer: 2*d*n + 34*d + 21*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-1*(-351)\/585.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15915 and 16291?\nAnswer: 259271265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -19*y**7\/42 + 11*y**3\/3 - 18*y + 21. Let q(v) be the first derivative of f(v). Find the second derivative of q(d) wrt d.\nAnswer: -380*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704))*-4*5 - (sqrt(704)*-1 + -1 - (1*(2*sqrt(704) + sqrt(704)) + sqrt(704))))*-3.\nAnswer: 57 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -85672.6 from 4.82.\nAnswer: 85677.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 11:14 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 3*q - 3. Let g be -6 + (5 + -3 - -1). What is y(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4869 + 830 = x, 0 = -5*m + 3*x + 6737. List the prime factors of m.\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/15 - 2*y**4 - 24*y**3 - 30*y**2. Factor h(p).\nAnswer: -4*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 42*v**2 + 27119*v - 529. Determine a(145).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 368 + 364210.\nAnswer: 364578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = y. What is the lowest common multiple of y and 87?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188489 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 + 4. Let n = -84 + y. Let o = n - -35. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 8*i + 2. Let b be r(-2). Suppose 14 = 4*j - 3*u + 1, -3*u = 3*j + b. Put -2, 0.5, j, 1\/4 in decreasing order.\nAnswer: j, 0.5, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -285152 or -1?\nAnswer: -285152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3058.07608 plus -8?\nAnswer: -3066.07608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13710 - 13697. Suppose 5*m + g - 18 = 0, -2*m + g + 2 = 4*g. Suppose m*w = -0*w + 20. What is the remainder when a is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -0.3, -0.25, -15024?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 857 = -3475. Let l = 2416 + t. Suppose 8*p - l = 2*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19241\/3143 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 + (-6 - -3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 683857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2 - 928369*p - 1856742 = 0. Calculate p.\nAnswer: -2, 928371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -882*u + 886*u for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 675*k**2 - 106*k**2 + 7.\nAnswer: -781*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 6, 2, 9, 4 in descending order.\nAnswer: 9, 6, 4, 2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 8:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 6631.8408.\nAnswer: -3315.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109663751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34514 is divided by 5736.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1612 - -3838. Is o less than 2227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2512, 19991, 67398, 159697, 311852?\nAnswer: 538827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 93, 2512, 4931, 7350?\n\"Answer: 2419*l - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 253950 and 300.\nAnswer: 507900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 + (-104 + 35 - -114).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*z + 39 = 37, 4*m + 16 = -7*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 70653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4\/2 - 3*l**3 - 7*l**2\/2 + 3*l + 4 = 0.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 3*j + 18, -6*i + 2*i - 3*j - 27 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7 + 2 - 17 - 9*q**2 + 8*q + 3*q**2. Let p(x) = x**3 + 4*x**2 - 4*x + 6. Let f be p(-5). Let u(g) = g**2 - g + 1. Calculate f*z(i) + 8*u(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + 65. Let y = c - -80. Let x(s) = 34*s**2 + 33*s - 40. Let i be x(1). Calculate the highest common factor of y and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-40)\/(-20)) + 2*(-2 + 0). Sort s, 0, -3, -5, 2 in decreasing order.\nAnswer: 2, 0, -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 169.6 + -172. Sort c, 0, 3\/7 in descending order.\nAnswer: 3\/7, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24772 - 16625. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z + 33. Let m = 56 - 42. Let h be j(m). Let n(g) = -h*g + 3*g - g**3 - 4 + 242*g**2 + g - 237*g**2. Give n(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 3*s + 235. What are the prime factors of y(0)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Sort -3, b, 2 in increasing order.\nAnswer: -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16423 - 16206?\nAnswer: -34631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 154274 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102545826*n**5 + 45649052*n?\nAnswer: -2050916520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 483292100 rounded to the nearest one million?\nAnswer: 483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*p + 21*p + 30. Suppose 3*n + 30 - 150 = -p*d, d - 3*n = 60. What is the highest common factor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8 and -117\/148600?\nAnswer: 148600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13013 + -252?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368934488?\nAnswer: 2, 13, 797, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -161725.819 to the nearest ten.\nAnswer: -161730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*k + 4*k**4 + 15*k + (2*k**2 + k**2 - k**2)*(4*k**2 - 2*k**2 + 0*k**2) - k**4 - 91*k**2 + 88*k**2 + 2*k + 0*k.\nAnswer: 7*k**4 - 3*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1948 + -765. Let i be (-155)\/g - 2\/(-14). Suppose -24*f = -f - 23. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-56)\/(-12). Suppose d + 5*h - 47 = -19, -22 = d - 5*h. Let w = n + d. Do w and -1 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -0.4, 20, -1\/22?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1677698*-258.\nAnswer: -43.2846084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20a + 50c?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 3. Let q = -2 - i. Solve 3*g = q*p + 7, -19 = -0*g - 3*g - p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0402 plus -70783236789?\nAnswer: -70783236789.0402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -45.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -102.57 and -455.83.\nAnswer: -558.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**6\/120 - b**5\/10 - b**4\/4 - b**3 - 6*b**2 + 4. Let c be 24\/9*(-45)\/4. Let i be (c\/4)\/3*2. Determine z(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328823 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 - (-2 + 2) - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 - 67700*t**2 - 28500384*t = 0.\nAnswer: -411, 0, 17336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.579 + 1.779. Which is the fourth smallest value? (a) 4 (b) 28 (c) j (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 + 24*u**3 - 27*u**2 - 56*u + 35\/8*u**4 + 9\/40*u**5. Factor r(l).\nAnswer: 3*(l + 6)**2*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*n**5 - 5*n**4 + 4*n**3 + 3*n**2 - 230217*n.\nAnswer: 1380*n**3 - 60*n**2 + 24*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + w - 1 = 0, w = -4 - 1. Let x(i) = 9*i**2 - 3*i - 4*i**d - 3 - i - 1. Suppose 0*h + 3 = h. Let f(l) = -4*l**2 + 3*l + 3. What is h*x(k) + 4*f(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 211, 2\/13, 2 in descending order.\nAnswer: 211, 2, 2\/13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/71 (b) 2\/7 (c) -0.08 (d) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -451, -7\/6, 4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -4*b + 46, -34*b + 31*b + 2 = 5*y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 198?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/74 and 15\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*o = -11106 - 9856 for o.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*20\/6*(-22)\/55. Calculate the remainder when 86 is divided by ((-138)\/d)\/(7\/((-28)\/(-3))).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -25526801?\nAnswer: 25526806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234*q**3*x**2 - q*x**2 - 59*q - 2*x wrt q.\nAnswer: 1404*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25369050 or 25369049?\nAnswer: 25369049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 4. Let k be (i\/6)\/((-3)\/(-18)). Solve k*u - 6 = 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -2 + (-2 - 0). Let l be 1\/r + (-2)\/(-28). Is 1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*o + 22, 5*o + 73 = 94979*p - 94975*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*b*n**5 - 6*b*n**3 + 5878*b*n**2 + 18*n**5 wrt n?\nAnswer: -360*b*n**2 - 36*b + 1080*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(-3 + (-28)\/(-8)). Suppose 3 = u - 2. Solve -u = -o*l + l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*c + 26*c**2 + 30*c + (-4 + 2 - 3)*(c - c - 3*c**2).\nAnswer: 41*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6)*h*h**(1\/13)\/h)**22)**(-2\/121) assuming h is positive.\nAnswer: h**(256\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5700.6 + 5628. Are p and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40393739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -66671*o. Let c(y) = -33*y. What is f(c(a))?\nAnswer: 2200143*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28673 is divided by 363?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 168 - 842\/5*d + 2\/5*d**2 = 0.\nAnswer: 1, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4201112*u**3 + 40214*u**2 - 6*u wrt u.\nAnswer: 25206672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqzjtsqqtttg. Give prob of picking 1 z and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18.335 + 2.335. Which is the second biggest value? (a) -5\/6 (b) t (c) 2\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553607 divided by 557\nAnswer: 553607\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -625933 + -7?\nAnswer: -62593a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13.64 (b) 2 (c) 4.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Solve d - m = -3*h, -3*h = 2*h + 4*d + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 66248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -31*z + 143 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**2 + 16*k - 32. Let m(j) = j**2 + 1. Let o(v) = 12*m(v) + z(v). Let g be o(6). Sort -56, 1\/4, g in decreasing order.\nAnswer: g, 1\/4, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -5*t**7\/189 - 22*t**6\/15 - 211*t**5\/9 - 1462*t**4\/27 - 95*t**3\/9 + 722*t**2\/9 + 616*t. Suppose g(s) = 0. What is s?\nAnswer: -19, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (28*-3)\/(-4). Let m = 21 + o. Solve 1 = m*w + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d + 13. What is s(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 21*n**2 - n - 271. Let x be s(-22). Calculate the greatest common divisor of x and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3303938 to the power of 1\/2, to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 11*v**2 - 14*v. Let r be p(-10). Suppose -5*b = 3*o - 17, 2*o = -2*o + 2*b + r. Suppose -2*c = 5 - o. Solve -c*z - 18 = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 + 515340245?\nAnswer: 515340410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1, 1\/4, -118, -0.3?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllxvpxlvlxvxlv. What is prob of picking 2 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5498, 5494, 5490?\n\"Answer: -4*r + 5502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 6:29 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/(-6))\/((-2)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5683389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -205 + 211. Solve -p = 3*p - 16, 2*u + n = 4*p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55088701 or 0?\nAnswer: 55088701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -j + 8*x, -18*x = -4*j - 20*x + 28 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*o**2 - 268\/5*o + 54 = 0. What is o?\nAnswer: -135, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1312?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113979, 228739, 343499, 458259, 573019, 687779?\nAnswer: 802539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5720*q + 3367. What are the prime factors of m(-6)?\nAnswer: 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*(-27)\/6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1115650 (base 7) to base 2\nAnswer: 100001111010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, v: 1, f: 5}. What is prob of picking 2 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 10:30 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 921559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 81 = -183. Let o be ((-6)\/(-12))\/(1\/(-60)). Let c be (16\/(-5))\/(12\/o). Calculate the greatest common factor of c and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.92 rounded to 1 decimal place?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*30*(-96)\/(-40). Suppose -4*t + 73 = -q, 3*q + c = 5*t + 44. Let l = t + -15. Solve 3*s = s + l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**4 - 75*z**3 + 310*z**2 + 60*z - 1800 = 0.\nAnswer: -2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1470158035 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - y. Let j(h) = -6*h**2 - h - 2*h - h. Let l(o) = -o**3 + 7*o**2 - 8*o + 13. Let i be l(6). What is i*j(k) - 4*f(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -9*z**5\/2 - 474*z. Let o(c) = 7*c**3. What is -2*m(r) - 27*o(r)?\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(1\/10) - 0. Let g be (-26)\/7 + x\/(-35). Let w be (-15)\/g - (-1)\/(-4). Which is greater: 3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 5. Suppose -h = -m*x + 1 + 4, -7 = 4*x - 3*h. Suppose 5*v - 5*c = -c + 40, 0 = 2*v - x*c - 18. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 4. Suppose 5 = 4*c - y, -c + 0*y = -2*y - 10. Let j be t(c). Let d(a) = a**3 + 6*a**2 + 4*a - 1. Give d(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**3)\/m*m**2)\/((m\/m**1)\/m)**21*(m*(m*m**8\/m)\/m*m**(1\/3)*m)**(2\/15) assuming m is positive.\nAnswer: m**(1226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -216, 0.384, -1\/2, 1\/3?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*(f\/f**(-31)*f)\/f)*f*((f\/f**(-4\/7))\/f*f)\/f assuming f is positive.\nAnswer: f**(-213\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 5*q**2 - 6*q + 1. Let o be b(-6). Suppose d + o = -4. Let p be 0 + -76*(d - -4). What is the greatest common divisor of p and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 200?\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -404\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose -3*b + 3 = 0, 6*a - 3*b + 7 = 5*a. Suppose -2*j - 7 = -9. Put x, j, a in descending order.\nAnswer: x, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 + 4*h + 6. Let d(s) = s**2 - s - 1. Let x(u) = -5*d(u) - t(u). Let v be x(2). Solve 3*i - v = -8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 12:42 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.5 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*i + 45, -147 = -l - 4*l + i. Suppose l = 3*b + 2*b. Suppose -w = -b - 2. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w**2 - 16*w**2 - w**2)*(w**2 + 12 - 24 + 15) as j*w**3 + c + p*w**4 + k*w + g*w**2 and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -1368.1?\nAnswer: -28730.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*b - 12 = 0, 34*b = -3*m + 30*b + 66. What is the greatest common divisor of 665 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -436 divided by 5\nAnswer: -436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.111 - -4.111. Put x, -1, 2, 43\/10 in increasing order.\nAnswer: -1, x, 2, 43\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + 206 - 9*m + 19*m - 5*m to t + o*m and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 + ((-25)\/(-10))\/((-3)\/6). Let g be (-4)\/(-12)*i + 7. Let b = 1 + 9. Solve g*v - b = -22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*3\/15 - 4\/(-10). Let u(a) = 444*a**3 + 2*a**2 - 2*a + 1. Is u(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 - 19*r - 162. List the prime factors of q(-24).\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 42 + 163 = -275. Let a(q) = -4*q**2 + q - 8. Let v(b) = 21*b**2 - 4*b + 41. Give n*a(r) - 2*v(r).\nAnswer: 2*r**2 - 3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 9 = -6*j. Is (j*-1)\/((-18)\/153) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + j + 8. Let l = 4 - j. Suppose -n + 3*n - 2 = l. Calculate the highest common factor of n and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85885\/16 - 5364. Calculate the common denominator of (58\/(-8))\/(10\/(-6)) and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(180\/(-16))*20\/9240*-275?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000566676 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1301, -1303, -1303, -1301, -1297, -1291, -1283?\n\"Answer: k**2 - 5*k - 1297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2 - 14 + 8 - 2. Let u(c) = -883 + 439 + 443 - c. Calculate 6*u(n) - w(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 29*p + 58*p + 108.\nAnswer: 10*p + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2.453+-0.8\nAnswer: 1.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 + 171.7. Let h = 53.3 + x. Which is the closest to -1? (a) -1 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-45)\/(-20))*1\/(-2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(25)*2*-1)\/sqrt(5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 7. Let f(j) be the first derivative of 9*j**2 - 45*j + 18. Let b be f(3). What is v(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0. Let l = 61 - 52. Let s(d) = d**3 - 11*d**2 + 18*d - 1. Let g be s(l). Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29871 from 0.0844.\nAnswer: -29870.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/85 - 28\/85. Suppose -5*y + 2*t - 2 = 3, y + 4*t = -1. Is y smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48319 divided by -99.\nAnswer: -48319\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, c: 7, e: 2, k: 4}. What is prob of picking 3 k?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 2\/11, -0.5, 7 in increasing order.\nAnswer: -0.5, 2\/11, 7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2 and (-2)\/3 + 700\/(-480).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/15 - (-4)\/6. Let w = p + -2. Let t be 0*3*w\/(-12). Solve -3*b + 4 = -d, 0 = -2*d + 4*b - t - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrb when three letters picked without replacement from {h: 5, r: 4, b: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -123.96 - -148. Let t = w - 2.74. What is t rounded to zero decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2 + (4*1*sqrt(240)*-3)\/(sqrt(96)\/(sqrt(32)\/sqrt(4)*4)).\nAnswer: -96*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20314*a*h**3*z**3 + 41*a*h**3*z + 2*a*h**2*z**3 - 161*a*h**2*z**2 + 22*a*h**2 + 2*h**2*z**3 wrt h?\nAnswer: -121884*a*z**3 + 246*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95677471 to the nearest integer?\nAnswer: 9781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (490\/8)\/((-36)\/(-144)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 99. What is the second smallest value in 2, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 159.3 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26280 (base 11) in base 8?\nAnswer: 111336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q*q**(-5)*q))\/q))\/(q**1\/q))\/(q*q**(-1))**(2\/57) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g + p + 3*p, 28 = 4*g + 5*p. Let f = g + -9. Suppose -3*s = -4*x + 1, x - f = 2*s - 4. Solve y + 5 - x = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37608689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -327\/10 (b) 4 (c) 0 (d) -1\/4 (e) -4 (f) -4\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u - 3 - 3 + 56*u + 287*u - 394*u + 7.\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 5*s - 122 + 121, -3*c + 2*s = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 339f6?\nAnswer: 339f9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6822436811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 145*q**2 - 1014*q + 38. What is the tens digit of d(-138)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w. Let k(t) be the first derivative of 0*t**2 + 0*t - 2\/3*t**3 + 1. Calculate k(h(p)).\nAnswer: -338*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 2451, 3684, 4899, 6090, 7251, 8376?\nAnswer: 9459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138412642?\nAnswer: 2, 3851, 17971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*p + 12*p - 9*p)*(0*p - 4*p + p) as n*p**2 + d*p + g and give n.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-34 - -1) + 617 + -624.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 8*n = -132. What is the common denominator of -31\/6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66671*v**4 - 84074*v wrt v.\nAnswer: -800052*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6612, -6642, -6672, -6702, -6732, -6762?\nAnswer: -6792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from upvvuupuuvpuvvupvuu.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 - 6 = 0. Suppose -2*w = -6*w - 20. Let x be w\/15*(2 - 1). Which is the closest to h? (a) -2 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 28 = 3*d, 4*d + 6 + 15 = 5*v. Suppose -2*u + v = 1. Factor -2\/5 - 4\/5*p - 2\/5*p**u.\nAnswer: -2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*o + 93*o - 858. What is the remainder when 66 is divided by (o + -15)*12\/44?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 4*b**2 - 5*b - 2. Let n be r(-3). Suppose n*t = 6*t - 36. Calculate the greatest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)\/(i*i*i**(-21\/5))*i**(-34)*i**27 assuming i is positive.\nAnswer: i**(-322\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43\/9 + 44\/9. Which is the nearest to 0.1? (a) i (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11450 divided by -229.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/3 - 1036\/(-112)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**5\/10 + r**4\/24 - r**3\/3 + 4*r**2. Let w be v(-2). Solve 4*q = -q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 39. Suppose -2*a + v - 3*v = 8, 0 = 5*a - 2*v - h. Let k(p) = -p**3 + 16*p**2 - 29*p + 10. Let m be k(14). Sort -1, m, a in decreasing order.\nAnswer: a, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 9, 4, -0.5, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 180 = -z. Suppose z*t - 63 = 8*t. What is the remainder when 52 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2215, -8666, -19293, -34096, -53075?\nAnswer: -76230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7542 divided by 1.\nAnswer: 7542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1764 by 147.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/6915 and 17\/29965.\nAnswer: 89895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 18 = -2*u, -u + 2*f - 3 = f. Suppose -12 = 2*p + 3*s, -5*p - 5*s = -4*s + 17. What is the units digit of 2 + p*u\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 9.431 (b) 4\/9 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**3 - 5*k**2 - 4*k - 6. Let u(i) = 5 + 3*i - 7*i**2 + i**2 + 6*i**2 - 5*i**3 + 4*i**2. Give -4*s(r) - 5*u(r).\nAnswer: r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 + 9*a - 32. Let q = 22874 + -22870. Determine p(q).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acacaaaazaza. Give prob of picking 1 c and 1 a.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 614, 914?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -577 + -4?\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1329043780 from 0.04.\nAnswer: 1329043780.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.9630705 rounded to three dps?\nAnswer: -22.963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from simfitesmfmmmim?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -93. Sort 1, 22, u in increasing order.\nAnswer: 1, u, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117021 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -27. Let f = k - 41. Let m = -37.4 - f. Which is the fourth biggest value? (a) 0 (b) -2 (c) 0.2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(6*(4 + (sqrt(1216) - (sqrt(1216) + 1)) + 4)*-1 + -5))**2.\nAnswer: 79524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 6*g**3 + 54*g**2 - 6*g - 8. Let u(f) = -f**3 + f + 1. Calculate -p(k) - 8*u(k).\nAnswer: 2*k**3 - 54*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = -2*t + 5, -9 = -3*t + 5*l. Let u be ((-2)\/6 - -1)*3. Suppose 0 = -y + 2*h + 2, y - 5*h + 1 = -0. Solve t*o = u*o + y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 6:25 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 573.47063 to one dp.\nAnswer: 573.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.8 (c) -2 (d) -516524 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert fa3 (base 16) to base 2.\nAnswer: 111110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -366265505?\nAnswer: -366265503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p - 6. Let d(w) = -4*w + 5. Let m be 4*(30\/8 - 3). Suppose m = c - 3. Calculate c*d(j) + 5*g(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116 and 146531?\nAnswer: 146647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u = -20*u - 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-4 + sqrt(1331)) - sqrt(1331)) + 6*(sqrt(1331) + 2) + 2)**2.\nAnswer: -2420*sqrt(11) + 161151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57213 and 0.21.\nAnswer: -12014.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 918 - 741. Calculate the remainder when g is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*h - 25*h = -57*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3556515119.\nAnswer: 103, 34529273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/(-4)*346866\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/15 + 977\/5 + 2. Suppose 3*h + 4*d - b = 0, -3*d - 50 = 2*h - 183. Calculate the remainder when h is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34225837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -240730*s**2 - 6*s - 3811823 wrt s.\nAnswer: -481460*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37\/90 + -7\/18. Suppose x = -4*g - 0*x + 19, x + 16 = 3*g. Which is the third smallest value? (a) 0.2 (b) 2 (c) k (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42554202 take away 8333.9?\nAnswer: -42562535.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 2. Let u(s) = 104*s - 56. Let i(r) = -5*d(r) - u(r). Does 70 divide i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*w, 2*o + w = 303 - 290. Let x(t) be the third derivative of 1\/24*t**3 - 1\/48*t**4 + 0*t - 2*t**2 + 0 - 7\/240*t**o - 1\/120*t**6. Factor x(i).\nAnswer: -(i + 1)**2*(4*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (14 - 33) - 12 - 25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5)\/g**12*g\/(g*(g\/(g**6\/g))\/g*g)*g**5 assuming g is positive.\nAnswer: g**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + y + 1. Let i be c(-1). Let m be 1\/(4*3*(-5)\/(-60)). Is i < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7830415 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37469914 * 0.07\nAnswer: -2622893.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 1\/20*d**5 + 0 + 2*d + d**3 - 7\/12*d**4 + 5\/2*d**2. Let r be g(6). Solve 3*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1424222387.9 to the nearest 10000.\nAnswer: 1424220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*-64.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) + 1)*-2)**2 - (sqrt(684) + sqrt(19) + -2)*3.\nAnswer: 3*sqrt(19) + 694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 106*u**2 + 1038*u + 343. Determine d(-115).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 3799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -238, -241, -244, -247, -250, -253?\n\"Answer: -3*r - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swojssdjsjjjdsdd. What is prob of picking 1 w, 2 j, and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3)*45\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 11*g - 17. Let b be q(5). Solve -5*y - 20 = 5*r, 0 = y - 4*r + b + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**1)**(-12))**(-5\/3) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -44*g + 46*g + 1613, 4029 = -5*g - 2*k. Which is bigger: g or -811?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 755*l - 196*l - 1020 - 3452 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.818626g?\nAnswer: 8818626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -18*r**3 - 243\/5*r + 9\/2*r**4 + 1\/30*r**6 + 81\/2*r**2 + 39 - 3\/5*r**5. Factor i(m).\nAnswer: (m - 3)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 36. Let d be l(4). Let u(y) = -d*y + 7537 + y**3 + 10*y**2 - 7537. What are the prime factors of u(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - 5. Is 4 - 8\/(r\/750) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*c**2*m*n**3 + 11*c**2*m*n - 2158*c**2 - 3731*c*m*n**3 + 2*n**2 wrt n?\nAnswer: -168*c**2*m - 22386*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1558?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*b**2*v**4 - 4*b**2 - v**5 + 4*v + 2 wrt v?\nAnswer: 456*b**2*v**2 - 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1975 * -0.3\nAnswer: -592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 k, and 1 y when four letters picked without replacement from {x: 2, k: 3, y: 6, c: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/119 in -0.1, -2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 0*o - 8 + o - 4*o.\nAnswer: o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2411 - 2417 - 2431 + 12084 - 2411 - 57*w - 2414.\nAnswer: -57*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*a - 62*a + 2*s - 1, 4 = -3*a + 5*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -21872 + -3.3355\nAnswer: -21875.3355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*q - 6 = 0, -315*q - 15 = -318*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9*g + 4*g = -11, -g = 4*r - 61. Suppose 3*i = r + 16. Let o(v) = 15*v - 1. Is o(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/(39\/117*(-171)\/12).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let q = 11.3 + -7.3. Let y = q + o. What is the smallest value in y, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 5*g + 1. Let v(w) = -3*w**2 - 14*w - 3. Suppose 18 = 5*c - 2*c. Let n = -24 + 41. Calculate c*v(i) + n*o(i).\nAnswer: -i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -103\/2. Let x = 733 + -739. Which is smaller: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -561253966*q**3 - 517146085*q - 2?\nAnswer: -3367523796*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = 5*z, p + 7 = 4*p + 4*z. Let l be 2 - p*(0 - 1). Let c = l - 6. Solve 2 = -o + c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*r + 3. Suppose -2*g = -7*g + f + 30999998, -2*g + 12399994 = -r*f. Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 89 + 181)*(-2*o - 4*o + 11*o)*(-1 + 2 + 0)*(-1 + 6 - 1).\nAnswer: 1220*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15*z**3 - 4*z**2 - 3*z + 8. Let a be h(4). Let n = a + -888. What is k in 0*k + 0*k**2 + 1\/2*k**n + 3*k**3 + 0 = 0?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**3\/4 - 2*j**2 + 7*j\/4 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1439733684.\nAnswer: 2, 3, 487, 246361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 1752 and -2005 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 546405147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 369 - 1105\/3. Which is the nearest to -1? (a) -13 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -402*v**2 + 69*v + 137*v - 206*v in the form g*v + b + z*v**2 and give z.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 11)\/(2\/4*-2). Suppose -k = 4*k - q. Is 12 a factor of (-7)\/((-21)\/(-153))*k*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(52\/2340*-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/3 - o**3\/3 - o**2\/2 - 10*o. What is the lowest common multiple of x(-1) and (-3)\/(-2)*(-8)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -x - 5, -30 = -x - 3*m + 7*m. Let w be 616\/55 + (-2)\/x. Suppose 0 = f - 49 + w. List the prime factors of f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14155952387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 53, 88, 115, 122, 97, 28?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -164315\/2916 + 1127\/20. Is o bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 33 = -3*x, 41*x - 19411*y + 19407*y - 451 = 0 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 15.17. Let l = g - 1.17. Let t be 2\/(-6)*30\/(-2). Which is the closest to -1\/2? (a) -1\/2 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b - 9*b - 34 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/4)\/(33\/22)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 8*l - 19. Let f = 58 + -43. List the prime factors of z(f).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -69*v - 468. Let q be m(-7). Solve -q*k = -10*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 60\/48 - (-31)\/4. Let o(n) be the first derivative of n**3\/3 - 3*n**2 + 3. What are the prime factors of o(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/((-88)\/308).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5771?\nAnswer: 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1372.064163 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 818264004 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**3 + 6*p. Let w be q(-2). Solve 7*b - 2*b - w = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5778379900 rounded to the nearest 1000000?\nAnswer: -5778000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23332344, 46664687, 69997030, 93329373?\n\"Answer: 23332343*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 9*t + 5 - 2*t**2 - 3*t + 3*t**2. Let s be f(5). Let d(z) = -z**3 + 10*z**2 + 14*z - 33. Is d(s) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 43. Let x be i(-10). Calculate the highest common divisor of x and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 12, w: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 12. Suppose 3*s + 0*s - 21 = -h*j, -3*s - 5*j + 11 = 0. Let n = 278 + -270. What is the least common multiple of n and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4168, -8348, -12536, -16732, -20936?\nAnswer: -25148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 455858 and 2364.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22, -83, -158, -253, -374, -527, -718?\n\"Answer: -m**3 - m**2 - 51*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -5. Let g be -2 + 2 + (-18)\/c. Solve 0 = -g*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y + 151 = 19*y. Let u = 195 + y. What is the remainder when 173 is divided by u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-46)\/184 - 309\/(-4) and 49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -44. Let r be h + 18 + (-6 - -2). Solve -3*x + 2 = -2*t + r, 0 = -4*t - 3*x + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3\/6 + 2*q**2 - q. Suppose -4*i = i + 5. Let s(f) = 17876 + 17883 - 35758. What is i*d(v) + 5*s(v)?\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v - 8. Suppose -b + v + 1 = 0. Solve -2*x - 3 + b = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**2 + 21*h**2 - 18*h**2 + 2*h + 6. Let t be m(-3). Calculate the greatest common factor of t and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 11*r**2 + 2*r - 19. What is the remainder when w(-7) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-84*f + 68*f - 86*f + f)*(5 + 2 - 6) in the form w + k*f and give k.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = d - 0*t - 1, -13*d = -5*d - 8*d - 111*t + 666 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 620157780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1842568\/83 - 22200. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1123?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28, -1\/2, 1122, 482?\nAnswer: 1122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 - 27 = 0, -2*f - 3*x = 15. Solve 3*a + 2 + 4 = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*c + 3 = 17, -3*c - 12 = 0. Is 7 a factor of 14*(3\/v - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - (47 - 48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3247240 - 121?\nAnswer: 3247117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 196, 278, 340, 376, 380, 346, 268?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2 - 5393*k. Let l(z) = -2*z. Calculate l(r(s)).\nAnswer: -8*s**2 + 10786*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8498 - -8528. What is the fourth biggest value in -3\/4, x, 2\/15, 2\/21, 1\/8?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2 + (3 + 2 + 1)*(15 - 7*i - 15))*(4 - 4 + 2) + (0 - 1 + 2)*(i - i + 2*i).\nAnswer: -84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 3*q**2 - 3*q**2)*(-1 + 1 + 3*q**2) - 2*q**4 + 4*q**4 - 3*q**4 + (-15 + 15 + 3*q**2)*(-6*q**2 - 4*q**2 + 0*q**2) + 3*q**4 - 5*q**4 + 0*q**4.\nAnswer: -54*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175970 and 375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210221 - 210210?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101111100011 (base 2) to base 7\nAnswer: 11605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44532.67 days in hours?\nAnswer: 1068784.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -3*r. Suppose 4*q = -4*v + 36, 113*v + 2*q + 10 = 115*v. Solve 10 = -3*b - 5*t, -t + r = -2*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3 + 22. Suppose 2*q - 26 = i, -n*i - 3*q + 5*q - 130 = 0. Let w be 1*-1 - 30\/i. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/s)\/s**(-10) assuming s is positive.\nAnswer: s**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*x + 30 = 0, x = 3*z - 47 + 2. Suppose -3*t = r - z, 5 = -5*r + 3*t + 26. Let u = -4 - -7. Solve -u*p + 0*p = -r for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -38*v + 37*v + 22228, 3*v + 5*m = 66724. Let y = -12946 + v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -73 in descending order.\nAnswer: 0, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 105, 105, 103, 99, 93, 85, 75?\n\"Answer: -w**2 + 3*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/15*18 + 14. Let w be 4 - 5\/(v\/8). Solve 2*f = f + 2*i - 1, 3*i - 1 = w*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.132104ml to litres.\nAnswer: 0.004132104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/448 and -17\/13.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {i: 5, s: 2, x: 2, w: 2, j: 1, c: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143\/384 + -5\/128. What is the second biggest value in -5, -1, 1.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 628*l**2 - 21624*l.\nAnswer: -4*l*(l - 106)*(l - 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*c**2 - 60*c**2 - 50*c + 121*c**2 + (c + 3*c - 2*c)*(4 - 4 + c) - c**2 + 2*c**2 - 4*c**2 to i + x*c + r*c**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - -3) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -3) + 4 + -4. Solve -3 + 7 = i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/5*r**3 + 0 + 6\/5*r - 3\/5*r**5 - 3*r**2 + 3\/5*r**4 = 0 for r.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 35 - 17. Let q be (((-20)\/s)\/((-4)\/6))\/1. Suppose -q*u = 5*w + 4550010, 0*u + 2*w - 2729996 = 3*u. Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1989 - -4.1989. Which is the closest to 0.1? (a) t (b) -40 (c) -2 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 172062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*q = -38 + 38. Let k(f) = -5 + f**3 - 5*f**3 + 5*f**3. Give k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 1:12 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-3)*((-957)\/(-176))\/(-29)*-4*8.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 150?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56 - 54. Let r be (-1 - -1 - 0) + (3 - 0). Solve -3*x - 6 = -v*w, 2*w + r*w = 3*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201033 (base 4) to base 3.\nAnswer: -2220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 10 - ((-17 - -12) + 11).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 2:58 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/6 + 2*w. Let c(i) = -9*i. Let z(a) = -a. Let v = 20 - 19. Let o(l) = v*c(l) + 4*z(l). Give o(n(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/54 and -3\/280.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, p: 1, d: 2}. Give prob of picking 1 w, 1 p, and 2 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000019653 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1234954\nAnswer: -2\/617477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -751 (base 11) to base 10\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -320, -698, -1216, -1868, -2648, -3550, -4568?\nAnswer: -5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -19378, 0.2, 416 in increasing order.\nAnswer: -19378, 0.2, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1737049 litres?\nAnswer: 173.7049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**3*p**3 - g**3*p - 16*g**3 - 675*g**2*p**3 - 2*g*p**3 - 212*p**2 wrt p?\nAnswer: -42*g**3 - 4050*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.6 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/44748 and -41\/44.\nAnswer: 44748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 50. Is b less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - m + m)*(-2*m + 0 + 0) - 2*m**5 + 16*m**5 - 4*m**5.\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001000011000111 + -10010?\nAnswer: 1001001000010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) 2 (c) -5 (d) -4\/61 (e) -0.095 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172440 and 1498312?\nAnswer: 67424040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 12) to base 13\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 0.1 (c) -81 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 74 + 59 = a, 0 = -w + 3*a + 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/8 - 183*o**2 - 1465*o\/8.\nAnswer: o*(o - 1465)*(o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 20 + 25. Suppose -r*y = -3*f - 13, 2*y + 5*f - 4*f - 3 = 0. Sort 5, y, 4 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-2\/5)*m\/m**(2\/3))\/((m*m*m**6)\/(m*m**(-3))) assuming m is positive.\nAnswer: m**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {g: 19, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85496 + 85491.5373. Round u to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c**3 - c. Suppose 1 = -k - 0*k. Does 2 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 7236.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2855.31498 minutes?\nAnswer: 0.283265375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -b - 5*z, 3216*b - 5*z - 9 = 3220*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360554338?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(2\/8 + 0). Let a = x - 6. Suppose -30 = -2*v - a. What is the lowest common multiple of 3 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*v = -4*v + 8, 0 = 3*i - 3*v - 3. What is the common denominator of (-5)\/50*57\/i and (-2 - -4)\/(12\/237)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.799971 - -32.8. Round s to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 131325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - h + 1. Let x(d) = -d**2 - 11*d - 5. What is -2*r(o) - x(o)?\nAnswer: 3*o**2 + 13*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3870\/19 - -63459\/304. Calculate the common denominator of 47\/4160 and b.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2870.149196 rounded to 1 decimal place?\nAnswer: 2870.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1872 + 35813.\nAnswer: 37685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -761\/9 + 11803\/153. Let w = 6712\/901 + o. Which is greater: w or -0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/9*(-9)\/(-6). Suppose 3144 = u*g - 0. Let r = g + -7888\/5. Calculate the common denominator of r and 73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 185*v - 1. Let j be q(-37). Let k(t) = 5*t - 1. Let m be (3 - 2)\/(2\/6). Let l(s) = s + 1. What is j*k(r) + m*l(r)?\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 - 2*q. Let b be c(-3). Let w = b - -25. Let n = -7 - w. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 + -0.00713.\nAnswer: 257.99287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -7.1. Let k = 1.14 - 0.14. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41116 and 1843?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 1 - 14 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 + 10*i + 6. Suppose 13*b - 9*b = 40. Let j be x(b). Find the third derivative of 2 - 3*s**3 + 1 - 3 + j*s**2 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445 = 52*w + 37*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114424 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + 8\/6. Suppose d = r*d. What is the remainder when 45 is divided by d + 1 + 10 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gggggyggggggggg?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 180567.8m in millimeters?\nAnswer: 180567800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(128) - (0 + sqrt(128) + -5)**2) + -4.\nAnswer: -161 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -773 - -1320. Let g = -547.2 + q. Which is smaller: 18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 3. Let p be t(2). What is the remainder when p - ((-6)\/(-3) - 31) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1468\/49?\nAnswer: 1468\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/30*-10*(-3)\/(-2). Is 20\/(-4) + h\/(5\/1705) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**4 - 4 + 9 + 4 with respect to c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121920 divided by -320.\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87436 is divided by 142?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 1. What is d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02183 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = -0*v + 2*m - 104, 7*v - 3*m = 24991 - 25182 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23171 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 - (-2 + (1 - 11) - -8)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 12 = -c, 5287*c - 2*r = 5291*c - 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((180\/(-50))\/(-1))\/((-21)\/(-70)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Let q = l - -3. Suppose -8*z + 40 = -q*z. What is the remainder when 39 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2024.\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 72*n + 75.\nAnswer: -3*(n - 1)*(n + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65971111 to the nearest integer?\nAnswer: 8122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 7001*g - 34965. Determine m(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 14*i = 481819104. Let x = 4824336 + i. What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -827*s**5\/30 - 2183*s**3\/6 + s**2 - 412. Differentiate z(m) wrt m.\nAnswer: -3308*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -23 + 51 + -16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 2 - 3 - 2*y. Let u be 7 - (6 + -382) - 0. Let x = u - 387. Determine m(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245526?\nAnswer: 2, 3, 151, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f**3 - 9*f**2 - 3*f - 7. Let q(o) = -4*o**3 + 4*o**2 + o + 4. Determine 7*q(y) + 3*r(y).\nAnswer: -y**3 + y**2 - 2*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/520 and -43\/2080?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -923789 by 923789.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 51. Determine c(-31).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 47\/2 + 6\/4 + -2. Let v(g) = 34*g + 41. Let a be v(j). Let m = 1984 - a. What is m rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v + 44. Let h be k(-20). Let d = 417 - 249. Calculate the greatest common factor of d and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -785.65284389 - -480.65284236. Let u = i + 305. What is u rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 272 - 172. Solve 10*h = 15 + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2940) - sqrt(2940)*-2)\/(sqrt(24)\/sqrt(2)*-3) - (1 + (sqrt(10)\/sqrt(2) - sqrt(5)) + sqrt(5) + 0 + 4)*3)**2.\nAnswer: 300*sqrt(5) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1247 (b) -28 (c) -2031\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 10*v + 11. Let q = -3073 + 3079. Give l(q).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -0.5, 5, -16.8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1135*v**3 - 2229*v**3 + v**2 - v**2 + 1111*v**3.\nAnswer: 17*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*m**5 + 62*m**4 - 15*m**3 + m**2 + 2*m - 38582?\nAnswer: 740*m**3 + 744*m**2 - 90*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.134, -4 in increasing order.\nAnswer: -4, -1.134, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825517298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1110000010111111?\nAnswer: 1110000011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (33\/6)\/(5\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 d when three letters picked without replacement from {d: 4, i: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*y + 3*x, -3*y - x - 4 = -15. Solve 2*q + 3*q = -3*d - 21, -5*q - 11 = -y*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*i + 4 - 193*i + 2 + 96*i to t + f*i and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158 - 153. Let b = -2 + 1. Sort b, -1\/3, j.\nAnswer: b, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23027 + 23027.01. Which is the nearest to -255? (a) 5 (b) 0 (c) 2\/13 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/4 - 2*z**3 + 2*z**2 + 8*z - 4. Let b be v(-6). Is ((-8)\/10)\/(b\/1160) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cczccccczzcczcczcz. Give prob of sequence czc.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.6881 rounded to one decimal place?\nAnswer: 118.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/80*1*2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.005 and -0.025226.\nAnswer: -0.00012613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + 2*m)*(5*m + 2*m**4 - 5*m) - 3*m**5 - m**5 + 5*m**5 + (-5*m + m + 3*m)*(-2*m**2 + m**4 + 2*m**2) + 3*m**5 + 4*m**5 + 12*m**5.\nAnswer: 23*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 393 = 50*x - 52*x, 3*n - 5*x = 402. Let b(c) = 66*c + 1. Let j be b(1). Let m(l) = -j*l**3 + 1 - 4*l**2 + 3*l + n*l**3 - 63*l**3. What is m(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (175\/15 - 5) + (-4)\/6. Let x(t) = -t**2 + 3*t + 24. Let y be x(j). Solve -y*p = -10*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - m**2 - 56*m - 158. Give i(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 119410015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*t**2 - 4*t - 3 - 5*t + 1 + 42*t**2 + 5*t as a*t**2 + k + n*t and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1859*2099.\nAnswer: 3902041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + 9. Let y be 4\/(-10) + (f\/10 - -2). Solve y*t = 5*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 3 = -4*y + 2*i, -2*i - 21 = -5*y. Suppose 144*p - 141*p - 1224 = 0. Suppose y*b - p = -5*b. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -210*f**3 - 7*f**2 + 1465*f - 28. Let s(v) = 105*v**3 + 3*v**2 - 733*v + 12. Let h(j) = 7*s(j) + 3*t(j). Find the second derivative of h(u) wrt u.\nAnswer: 630*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:43 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (16 - (-21 + 14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 194 and 8093971?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwes when four letters picked without replacement from ideiwhshddhhih.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/2 - g**3 - 3*g + 3. Is s(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 163119, 1 in descending order.\nAnswer: 163119, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25 + 13*t**2 - 5 - 15 - 43*t**2 wrt t?\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1\/11, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/8)\/b)\/b**(1\/2))**(10\/3) assuming b is positive.\nAnswer: b**(-55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let u(x) = x**2 - 2*x + 4. Let w be u(k). Suppose -3*d + 22 = 5*j - w, 4*j + 110 = 5*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:07 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1)*(-1 - 4 + 3 + (8 - 5 - 34)*(-1 - 3 + 5))*(9*u + 8*u - 16*u) + 3*u + 0 + 0 to j + c*u and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 5:37 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115\/3 - -38. Let q = -7.2 - -1. Let l = -1.2 - q. What is the closest to 1 in b, l, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (641*l**2 - 56*l**2 + 465*l**2)*(-1 - 1 + 3) to the form f + j*l**2 + c*l and give j.\nAnswer: 1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*c - 4*b, 7*b - 5*b - 20 = -2*c. Suppose 5*t + c + 18 = 0. Let j(g) = g**3 + 5*g**2 - 8*g - 9. Let z be j(t). Solve z*u = -3 - 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.007 <= 22846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24536984 is divided by 106.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (31 + -10 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22045*p**3 + p**2 - 15847*p.\nAnswer: -132270*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4514.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.34 and -7.\nAnswer: -6.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 27*z**2 + 132*z - 72. Determine i(31).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -z**5\/20 + z**3\/6 + 225*z**2\/2 - 6*z. Let i be t(0). What is the common denominator of 48\/5 and (-4)\/(-18) + (-230)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -50. Suppose h + v = u, -u + 2*u + 2 = 0. Let j = h - -129. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 - 11.56. Round c to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4*f**2 - 11 + 4.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/15)\/((-2)\/(-60)). Let x be 2 + 2\/(h\/(-93)). Let u = x + 3\/4. What is the third smallest value in -3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679398 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129029840*k**3 - 89545*k**2 - 423*k.\nAnswer: -774179040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/21586814 and 139\/30216.\nAnswer: 259041768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.269 + 35517689\nAnswer: 35517682.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 2232 = -58*i - 79*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 702986, 1406250, 2109514, 2812778, 3516042?\nAnswer: 4219306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + 127?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g**2 + 2*g)*(159*g**3 - 18*g**3 + 44*g**3) + g**5 - g + g.\nAnswer: -369*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0\/(m\/(m\/(m*m*m**(-5)\/m*m*m*m))))\/(m**7*(m\/(m*m*m**(-4)))\/m) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 42. Let c be n(0). Let v = c + 1239. What is the units digit of v\/33 - 2\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022193 rounded to five decimal places?\nAnswer: 0.00222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 9*n + 13*n = -134, 2*g = -5*n + 116. Is g at most as big as 64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2.57, -0.1.\nAnswer: -2.57, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171808 and 0.12.\nAnswer: -20616.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggggggggggvvggg. What is prob of sequence vg?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -6. Let u be (-6)\/(-20) + (-2)\/4. Let i = 0.2 - 0.1. What is the closest to i in -1, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.926004 + 0.7479933. Let u = 122.822 - 123. Let j = u - n. What is j rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8712258?\nAnswer: 2, 3, 73, 19891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 9*l + 71. Let f be y(-6). Solve -333*v = -f*v - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -35. Let y = -109 + v. Solve -4*g + y*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011000011100100 (base 2) to base 10\nAnswer: 45284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 687630 and 458420.\nAnswer: 1375260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (3 - 2 - (30 - (58 - -19)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.2 + -2.203. Let s = -0.04 - -0.04132. Let g = p + s. What is g rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*p - 9 = -3, -4*y + p + 3 = 0. Suppose -3*n + 15 + 42 = y. What is the remainder when 303 is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*c + 11, -2*c + 5*c - 5*h = 22. What is the closest to c in 0.6, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38681 and -5?\nAnswer: -193405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -81. Let l = -86 - d. What is the third smallest value in l, -1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s - s - 3*s + s as y + v*s and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 + 63*m - 60 = 0.\nAnswer: -5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177926069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -43 + 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 24*d**2 - 8*d - 16. Let k be r(-19). Let s be k\/26 + 20\/130. What is s rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*o - 97 = 0, 9*s = 11*s + 3*o - 205. What are the prime factors of s?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4 + 2 - 5 - 258*s. Is h(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 982, -7593 in decreasing order.\nAnswer: 982, 6, -4, -7593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 113, 208, 339, 512?\n\"Answer: r**3 + 9*r**2 + 31*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 247680613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5752 + 5750.891. Which is bigger: w or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -475*-0.4\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/56 and -97\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n - 125 = 55*n - 429. Which is the nearest to -3? (a) 1 (b) -1 (c) n (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 + 89 = 6*a. Let o = a - -75. Let c(u) = o*u + 42*u - 82*u. Let r(b) = -b**2 + 16. Determine c(r(h)).\nAnswer: h**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*b + 9, b - 6 = -0*z + 2*z. Suppose 16*a - 66 - 270 = b. What is the remainder when 104 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 2\/9 (c) -1\/10 (d) 0.5 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 5) to base 7.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqeqqqqplnqq. What is prob of sequence epnl?\nAnswer: 1\/11880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -299276\/815 at least -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 0.34115151052901.\nAnswer: 8.34115151052901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vttttttt?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 24013135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-21))\/((-11)\/132*4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + 7 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29625814091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 21. Let s(y) = -y - 6. Let v be s(9). Does 11 divide f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -604, -376, 1\/5, 0 in decreasing order.\nAnswer: 1\/5, 0, -376, -604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181\/6 - (-4)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 0 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7693*t**3 - t + t + t**2 - 7702*t**3 + 15401*t**3.\nAnswer: 6*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*o + 6 = 0, -10*o = -11*o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -25. Let r(j) = 2*j + 8. Calculate r(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/36 + 944\/36. Calculate the greatest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 220 - 220 - 148*z**5 + (-z**4 + z**4 + z**4)*(-2 - 4*z + 2).\nAnswer: -152*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34.0653*-0.3.\nAnswer: -10.21959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 1. Let w(t) = 4*t**2 - 3*t + 8. What is -3*i(v) + w(v)?\nAnswer: v**2 - 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-4) + (-1)\/4. Let g = 15 - 30. Let o be (k\/3)\/(1*10\/g). Which is smaller: -2\/15 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 250 + v**3 - v + 255 to l*v**2 + r*v**3 + w*v + j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/8 - 5\/(60\/(-123)) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91429326 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1382 and 161588968?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**4\/6 + 466*a**3\/3 + 149903*a**2\/3 - 466*a\/3 - 99935\/2 = 0. Calculate a.\nAnswer: -253, -1, 1, 1185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126.8438 kilometers to millimeters.\nAnswer: 126843800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 8:36 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(76)*4 + sqrt(76) - sqrt(76) - sqrt(76))*-4)\/(sqrt(16)\/(sqrt(4)*-1) - (1*sqrt(44))\/sqrt(11)).\nAnswer: -50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 8*x**2 - 9*x + 6. Calculate h(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*g - g, 0 = 5*a + 3*g - 1571. Suppose 0*t + 48 = t - 4*w, 5*t - w = a. Let b = t - 17. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m. Suppose 3*a + 4*b - 36 = 7*b, -4*a + 3*b + 43 = m. Let c(y) = 11*y + 167. Let t be c(-15). Solve t*n = a*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 - 7*v - 6. Determine g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/7, 1\/4, 8808742?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 18 - 38)*(-3*i - 2*i + 4*i) to the form y*i + p and give y.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m - 16, 29148 = -2*x + m. What is the tens digit of x*(-2)\/48 - 3\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 186 = -s. Let k be ((-2)\/s)\/(1\/(-2)). Is 1 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 879894\/65 or 1?\nAnswer: 879894\/65","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -445.982.\nAnswer: 5797.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + -2*sqrt(72) - (0 + sqrt(72) + sqrt(72) + -2) - 6*(sqrt(72) - ((sqrt(72) - (5 + sqrt(72)*-4)) + sqrt(72)))))**2.\nAnswer: -314496*sqrt(2) + 1780416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x**3 + 6*x**2 + 6*x - 6. Let g(i) = 561*i**3 - 121*i**2 - 121*i + 121. Calculate 121*c(r) + 6*g(r).\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -5946 and -5951 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -2\/3*h**3 + 0*h**2 + 4*h + 1\/6*h**4 + 0 + 1\/120*h**5. Let i(f) be the second derivative of a(f). Determine i(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*a - 12, 2*k + 628 = a + 632 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001013657136 to 5 dps.\nAnswer: 0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*h**2*o**3 - 6*h**2*o**2 + h**2 + 31*h*o**3 + 2*o**3 + 15*o**2 wrt h?\nAnswer: 68*o**3 - 12*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b = 10*b + 12. What is the second derivative of -97*h**2 + 7*h**b + 18*h**3 + 95*h**2 - 49*h wrt h?\nAnswer: 150*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728 = 11*p + 959 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -257*l + 262*l + 3, 4*p - 7 = -l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 8. Let m be 44*((-3)\/(-2))\/3. Let g be (-4)\/m - (-825)\/(-121). Calculate x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1349 divided by -1349\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**2 + 55*s + 50. Let z(j) = -j**2 + 11*j + 10. Let a(m) = -2*g(m) + 11*z(m). What are the prime factors of a(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-220)\/55)\/(1*-9 - 1). Find c such that 2\/5*c**5 + 0*c**3 + s*c**4 + 0*c**2 + 0 + 0*c = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210 - -111?\nAnswer: 2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t + 3*t)*(-2*t + t - 3*t)*(-4*t**2 + t**2 + t**2).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 2)*5\/((-20)\/(-68)). Let j = r + 22. Solve 9 = -j*i - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-39)\/9)*-1. Which is the nearest to j? (a) 0.4 (b) 0 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57352 * 4.\nAnswer: -229408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7416271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcmccqqqbmcmqooqvmbo. Give prob of picking 1 q and 1 o.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-31*b - b - 27*b).\nAnswer: 59*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334054 and 428.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199272151 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -31771\/920 bigger than -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66816*t + 763984?\nAnswer: 66816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**5*u**2 + 13*b**3*u**2 - 91*b**2 - 3*u**2 wrt b?\nAnswer: 60*b**2*u**2 + 78*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, -119\/12456?\nAnswer: -119\/12456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*x + 264 = 141*x - 296*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w. Let c(o) = -76*o + 76. Let r be c(1). Let d(k) be the third derivative of -3*k**2 + 0 + 0*k**4 + r*k + 0*k**3 + 1\/30*k**5. Give q(d(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4830678 is divided by 193224?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 97. Suppose 2*p - 18 = -8. Sort d, p, 3 in decreasing order.\nAnswer: p, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by -2586.\nAnswer: -143\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -358018+1\nAnswer: -358017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -27 + 317. Let m = r + -18. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (528\/(-56))\/22 + (-10)\/(-35) - 44\/(-14). Suppose -1\/3*k**v + 2\/3*k**2 + k + 0 = 0. Calculate k.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -44, -94, -182, -320, -520?\n\"Answer: -2*g**3 - g**2 - 7*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17998 - 17989. Let l be -6*(2\/(-1))\/2. Solve -d - n = -l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 2*y**2. Calculate d(-5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 2*i**4 + 0*i**3 + (i - 1 + 1)*(-5*i**3 - 3*i**3 + 3*i**3).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -18. Let y = -5 - h. Solve k - 5 = -y, -3*k + 16 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71918, 72145, 72370, 72593, 72814?\nAnswer: 73033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6982437 divided by 3.\nAnswer: 2327479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 13*m**2 - 13*m + 18. Let y be c(-14). Solve 0 = 2*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.10726 - -0.1067377. What is c rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 3, -687, 21.9?\nAnswer: 21.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*x + 3*l, l - 4 = 5*x - 0*x. Suppose -4*i + 49 - 5 = x. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1104, 8863, 29918, 70917, 138508?\nAnswer: 239339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126270 and 400798?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 r when three letters picked without replacement from {r: 4, j: 3, q: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 886, 2, -0.2, 0.4, -350 in decreasing order.\nAnswer: 886, 2, 0.4, -0.2, -350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-10) - (2070\/2200)\/(-23)*2412. Is y <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 10*h**3 + 2*h**2 - h. Let b be t(1). Let p = -7 + b. Factor 4\/3*s**3 - 4\/3*s**p + 0*s + 0 + 8\/3*s**2.\nAnswer: -4*s**2*(s - 2)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 3:12 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r - 916*r**3 + 11476*r**2 + 67*r - 5732*r**2 - 5744*r**2.\nAnswer: -916*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*b = 6, 2*v - 13 + 4 = -5*b. Suppose 2 = 3*z - v*h, 4*h + 4 = 3*z - 0. Suppose 3*m = -z*m. Which is bigger: 2\/11 or m?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 20*l + 1. Let m(a) = a**3 - a**2 - a - 1. Let i be m(0). Let z be (5 - 10 - 4)\/i. What is the remainder when 92 is divided by h(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 79*t - 217. What is r(10)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-675)\/(-6))\/15*(-6)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4005?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/(k**(-1\/3)\/k))**(1\/4) assuming k is positive.\nAnswer: k**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4469)\/(-18 + 1875\/105) a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13941371 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066266193 rounded to 6 decimal places?\nAnswer: 0.000663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2062 (base 11) in base 13?\nAnswer: -1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49571, 99140, 148713, 198290, 247871, 297456, 347045?\n\"Answer: 2*u**2 + 49563*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -81?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from {n: 1, h: 3, t: 3, y: 1, r: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/20*(-11 - -3). What is the nearest to -1 in -3\/7, h, -8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -17*c**3 - 86*c**2 - 1703*c - 8558. Give p(-5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -12*h**4 - 7*h**2 - 20. Let v(x) = -6*x**4 - 3*x**2 - 10. Let d be 39\/6 - 2\/(-4). Let c(p) = d*v(p) - 3*k(p). Differentiate c(l) with respect to l.\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 119.\nAnswer: -4\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 28, 43, 58, 73, 88?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/60 - t**4\/24 + t**3\/6 + 44*t**2. What is the units digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 7. Let t be (442 + -10)*(-5)\/2. Let r be (8\/18)\/2 - (-3048)\/t. Which is smaller: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from baccbphucaccccc. What is prob of sequence ha?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50607 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 138 = -131, -3*z = 4*b - 5*b - 4*z + 14 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/13 or -13535\/31?\nAnswer: -13535\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2814 by 3.\nAnswer: -938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4640, -9282, -13926, -18572?\nAnswer: -23220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 37 = -3*r, 5*r + 5 + 10 = 0. Calculate the highest common factor of 56 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + 2*m + m)*(252 - 22008 - 4992 + 11807 - 15603) to the form k + r*m and give r.\nAnswer: -30544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4 - x**3 + 5*x + 3 - 8 + 14*x**2. Let i(r) = -81*r - 799. Let z be i(-10). Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350433732 to the power of 1\/2, to the nearest integer?\nAnswer: 18720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.30849 and -590828435.\nAnswer: -590828434.69151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -7*w - 23. Let r be x(-6). Suppose 0 = r*n - 14*n - 12055. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102930, -103318, -103708, -104100, -104494, -104890, -105288?\nAnswer: -105688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1027 and 801929.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -3*r**5\/5 + 11*r**4\/6 + 65*r. Find the third derivative of z(n) wrt n.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1047 and -0.13?\nAnswer: 136.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1094*l - 2188. What is h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w - 8. Let a(j) = 20*j - 25. Give 2*a(b) - 7*z(b).\nAnswer: -9*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 110.6 (b) -1\/7 (c) 2\/11 (d) -14 (e) 0.011\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 650003 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - k - 1. Suppose -5*d - 25 = -17*v + 12*v, -2*d - 4*v = -8. Let b(s) = 2*s**2 - 4*s + 4*s. Let z(i) = d*b(i) - 3*c(i). Determine z(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*8\/(-528))\/(1\/4)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*k - 17*k - k**2 - 25 + 39*k + (-2 + 2 + 2*k)*(4*k + 0*k - 3*k).\nAnswer: k**2 + 2*k - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 + 6997b?\nAnswer: 699a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diii when four letters picked without replacement from gydhygih?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 - (13 - (-8 - -19))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12019 + -7071. Let w(r) = -4952 - r + 0*r + n. Let x = 7 - 14. Let u(f) = 1. What is x*u(t) - 2*w(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -5, -2, 5, 4.\nAnswer: -5, -2, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 1 + 3*l**3 + 4*l**2 - 13*l**3 + 24*l**3. Calculate the remainder when 87 is divided by c(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2047 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16997 + 94*y**2 - 16998 - 17026 + 51021.\nAnswer: 94*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190 + 298. What is the highest common divisor of c and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Let j(t) = -3454886*t. What is j(h(g))?\nAnswer: -3454886*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 d when three letters picked without replacement from ccwcdcoconocn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of y**2*z + 94095826*y**2 + 32268409*y*z wrt z?\nAnswer: y**2 + 32268409*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36428 = -50*j + 36728 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/45)\/(9\/54) - (-2 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) -0.3 (c) 4\/5 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.9 + -36.5. Sort 79.2, a, 2\/17.\nAnswer: 2\/17, a, 79.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202201200 (base 3) to base 2.\nAnswer: -10010000110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (194\/1)\/(25 + -3). Let g = 9 - k. Let y = -2 + 0. Which is the closest to y? (a) g (b) 3 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 40*g**2 + 1451*g - 15089. What is j(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 942652314 to the power of 1\/2, to the nearest integer?\nAnswer: 30703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 8. Let q be b(-6). Which is smaller: q or 0.02?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a century in decades?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2. Let d(w) be the first derivative of 2*w**3\/3 - 2*w**2 - 4*w + 11. Let q(j) = j**2 - 5*j - 5. Let k(l) = 5*d(l) - 4*q(l). Determine s(k(p)).\nAnswer: 252*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 53 - 19 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*f - 26, -5 = -5*p + 4*f - 3*f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -32*r**3 + r**2 - 1. Let w be b(-1). Calculate the highest common factor of 16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 10*k**2 - k + 6. Let u be w(10). Sort u, 5, -2, 4 in increasing order.\nAnswer: u, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29951762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 3.8. Let g = -28 - -28. What is the nearest to 2 in q, g, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4 = 0, -2*g + 88*p = 170*p - 86*p + 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 203.4862ml?\nAnswer: 0.2034862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/5 + 14*f**4\/5 - 36*f**3\/5 + 4*f**2\/5 + 34*f\/5 - 18\/5 = 0. Calculate f.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 10.36732?\nAnswer: -1.036732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + 45 + 9*j**2 - 5*j**2 + 3*j**2 - 14*j. Let p be b(9). Solve 3*f - 5 - 4 = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1634651, -3269285, -4903919, -6538553, -8173187?\n\"Answer: -1634634*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -616700 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 560657.8?\nAnswer: 1121315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*a - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 727*b - 1476*b + 732*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 54*k\/5 - 20.\nAnswer: -2*(k + 2)*(k + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3555 divided by -711\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 3\/2, -1, -10, 3, -10.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d**3 + 0*d**2 + 0*d**2)*(-4 + 2*d + 15*d + 8*d) to the form u*d**3 + c*d + h + a*d**2 + b*d**4 and give b.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 134950993720 to the nearest one million.\nAnswer: 134951000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-52)\/390)\/((-6)\/(-30)))\/(4\/(-10))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50785539 is divided by 2241?\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(3 - v - 3) + 0*v - 4*v + 0*v)*(96 - 427 + 154)*(-1 + 4 - 1)*(-v + 0*v - v).\nAnswer: -4248*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182127.\nAnswer: 3, 11, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 + 8 = 0. Let t be (42\/(-63))\/((-1)\/(-24)). Let q = 22 + t. Solve 5*z - g = q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58 - (-1 + 3 + -1 + -3)) + -60815 + 60818.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120733 is divided by 748?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1 - -13) + -12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7942.443 millilitres to litres.\nAnswer: 7.942443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*f - 116*f = -12. Let c(i) = -14*i - 5. Suppose -t = -6 + 17. Let z be t*1 - 0\/(-2). Let w(y) = -5*y - 2. What is f*c(p) + z*w(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -144, -340, -628, -1014?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2778 + -8660. Let b be y\/6 - (-3)\/9. What is b rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476 less than 3478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 117, 1\/7, -3, 0.05 in increasing order.\nAnswer: -4, -3, 0.05, 1\/7, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 12 - 12. Let k(c) be the second derivative of -1\/6*c**3 - 1\/12*c**4 + 3*c + t + 1\/2*c**2 + 1\/2*c**5. What is k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-434)\/(-20) - 434\/372)*(-3)\/8 and 91\/2110?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118 and 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:49 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 216 + -2374\/11. Let m be 12\/(-10)*(-75)\/135. Which is the second smallest value? (a) 2\/17 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 13*z**2 + 3*z - 17. Let q be k(13). Calculate the highest common factor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4803 - 4795. Suppose -2*q - 3*t = 8, 0*t + 10 = -q - 3*t. Suppose a*n = 10*n + q. Sort n, -6, 2 in ascending order.\nAnswer: -6, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a day?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 593502 is divided by 275?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -10. Let v(n) = 3*n**2 - 5*n - 4. Let x(r) = -8*r**2 + 14*r + 11. Let s(f) = i*x(f) + 11*v(f). What is the second derivative of s(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*u - 980 = 0, 0 = w - 2*u + 189 + 151. Suppose -3*o - 2*r + 3*r - 619 = 0, 631 = -3*o + 4*r. Let p = o - w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 18*s**2 + 3*s + 18. Let d be b(-11). Let o = -353 + d. Suppose -15*a + 1201 = -o. Calculate the greatest common factor of a and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-2\/19)\/s*s)\/s)*s**(2\/17))**18 assuming s is positive.\nAnswer: s**(12924\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 130804411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, e: 1, m: 2}. What is prob of picking 1 m and 1 c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1197538*o**6 - 1488220*o**2 wrt o.\nAnswer: 143704560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3597.135l in millilitres?\nAnswer: 3597135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3 - m**2\/2 - 2*m + 6. Calculate v(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -414684.\nAnswer: 82936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*i - 35, -55 = -2*i + 7*x - 2*x. Let f = i - 6. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/11 (b) -0.46 (c) 0 (d) -1131 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2149482 by -6.\nAnswer: -358247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/9180 and 43\/28515.\nAnswer: 17451180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 868?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7 - 3, -3*r = 5*m + 559. Let x = 119 + m. Let h(a) = 0*a - 2 - 2*a + 3*a. Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 270603767 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 477?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 43. Find the common denominator of 107\/18*-1 + -2 and 1671\/594 + c\/(-9) + -1.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 348981 less than 0.2?\nAnswer: -348980.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22943 + -22948. Which is the closest to o? (a) -1\/43 (b) 0 (c) -0.2 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -6)\/(4\/284). Suppose -4*u + l = -1033. Suppose 2*a = s - 171, 0*a - u = -2*s + 5*a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = h + 38 - 29, -4*h = -31*b + 225 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3000001 + -1)\/((-3)\/9). Round d to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73656 and 16984.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23 + 1.701.\nAnswer: 1.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*x**6 + 3*x**5 + 27*x**2 + 4*x.\nAnswer: 3840*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(1216) - -1*(2 + sqrt(1216)) - ((sqrt(1216)*-1 + sqrt(1216) + -5)**2 - (-1 + sqrt(1216)*-2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3285 is divided by 1552.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17472 is divided by 269?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 - 978*u**2 - 2924*u - 3893. Give d(-486).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*p**3*t*w**3 + 75*p**3*t*w**2 - p**2*t*w**3 - 29*p**2*w - 15*p*t*w + p*w**2 + w**2 wrt p.\nAnswer: 36*t*w**3 + 450*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00761932308 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1093, 1134, 1117, 1042, 909, 718, 469?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -0.16 in increasing order.\nAnswer: -4, -0.16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13157909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 10:10 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 8. Let c = 0 + u. Let t be (-1 - c) + (2 - 1). What is the highest common factor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11312358 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**3 + 0*p**3 + 7*p**3)*(6337*p - 10447449 + 10447449) to j*p**3 + n*p**4 + l + b*p**2 + h*p and give n.\nAnswer: 25348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.2 + -5. Let o = -2.8 - y. Let m be -1 - -1 - (-3)\/5. What is the closest to 1\/4 in o, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u + 5. Let x(f) = -19*f**3 + 29*f**2 - 4*f + 4. Let j(l) = -4*l**3 + 6*l**2 - l + 1. Let y(p) = 14*j(p) - 3*x(p). Give y(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/3, -5, -1230, -1.8, -3, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 276858 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 7. Let r be n(6). Suppose -4 - r = g. Let i = g - -8. Solve -2*t + i*w - 2*w - 5 = 0, -2*w + 6 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 16*h**2 - 38*h - 104. What is t(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22556863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 1583750.\nAnswer: 1583751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1037582131?\nAnswer: 17, 43, 97, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -869190*g + 868672*g - 51282 for g.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p + 6. Let m be j(6). What is the units digit of 4\/m - (-35)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/5 (b) -0.3 (c) 3 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1474074 + -1474073.7299727. Let g = 0.27 - x. What is g rounded to six decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67a606 (base 12) to base 11.\nAnswer: a31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -11*j**3 - 642*j**2 - 86*j - 7. Let f(x) = -5*x**3 - 322*x**2 - 43*x - 3. Let o(r) = 3*c(r) - 7*f(r). What is the second derivative of o(s) wrt s?\nAnswer: 12*s + 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 1 = 2*n - 18, -3*n + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 40 - 2)*(-1 + 2*o + 1) + 0 - 2*o + 0 to q + t*o and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (75671 + 74157 + 75104 - 11*a - 296005 + 74154)*(-2 + 2*a**2 + 2) to c*a**2 + u*a**3 + g*a + j and give u.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -665828*a + 1331648. Calculate g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 70. What is the units digit of 1 + (d - 8) + 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1638)\/(-12))\/(-39)*(-18)\/7. Solve z*u - 26*u = -17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2604, 8\/3, 1\/53, -1\/4, 2 in descending order.\nAnswer: 8\/3, 2, 1\/53, -1\/4, -4, -2604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**2*w*z - 42*m**2*w - 2667*m*w*z + 58*w*z + 2*z - 1397 with respect to m.\nAnswer: -6*m*w*z - 84*m*w - 2667*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m + 3. Let b(f) = 3*f + 8. Let r be b(2). Suppose -r*s + 42 = -7*s. Give y(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750215 by -5035.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58906 + -7.52.\nAnswer: -58913.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -3, -61, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**5\/10 + 7*y**2. Let c(l) = -l. Determine s(c(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/((-15)\/(-181))*6\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -307491a?\nAnswer: -3074917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 25. Suppose -5*o = u*v - 46, -3*v + 3*o = -0*o - 21. Calculate the smallest common multiple of 8 and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 30 = 10. Let p be 2\/(-4)*(x + 2). What is the highest common factor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1793*w - 8990.\nAnswer: (w - 5)*(w + 1798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x - 113936632*x**2 - 12*x + 113936630*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.7 + -31.12. Let t = j + -5.58. What is the smallest value in 5, 31, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10520 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) -1\/2 (d) 1213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 4, -4\/11, 5, -105\/127, -0.4, -60?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -5*r**4\/4 + r**3\/3 + 3*r**2 + 2*r + 17. Is x(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/(-10) - (-2)\/5. Suppose -5*f - 2 = -2*p - 7, -2*f = 2*p - 16. Suppose g = -j, -3*t = -t + f*j - 2. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - 2*k + 3. Let d(t) = -3*t**3 - 227*t**2 + 6*t - 4. What is -d(o) - 3*r(o)?\nAnswer: 6*o**3 + 230*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.5. Let w be (-1)\/(-14)*-10 - -1. Let n = 0.5002 + -0.0002. Sort n, w, d, 0.02 in decreasing order.\nAnswer: n, w, 0.02, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/20 and -56\/1215.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 2*i - 3. Suppose -26*g + 6 + 20 = 0. What is the remainder when 27 is divided by v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**5\/5 + q**4\/2 + q**3\/3 - q**2 + 17. Factor g(h).\nAnswer: -h*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 618?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 284172 to the power of 1\/2, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -173, -257, -343, -431, -521, -613?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.26. Let v = 0.04 - -1.92. Let y = v - d. What is the closest to -2\/7 in 1, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 188 (base 12) to base 3\nAnswer: 100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29400 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6751 = n - 2*n, n - 33737 = -5*t. Let k = t - 24571\/4. Let b = k + -614. Calculate the common denominator of b and 17\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3))**(-1\/2)*(q**(1\/4)\/q)\/((q*q*q**(-2\/5))\/q*q))**28 assuming q is positive.\nAnswer: q**(-917\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o = -22*o + 59. Factor 341 - b**2 + 6*b**2 + o*b + 939 - 219*b.\nAnswer: 5*(b - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(187\/(-198))*598\/234\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.489 + -1.56. Let j = l + 0.07037. Round j to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1209 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 > 373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-72)\/10 + 0)\/((-3)\/(-10)). Let l = m - -35. Suppose 0 = -2*q - 5*n + 276, 2*q = -3*q - 2*n + 711. What is the greatest common factor of q and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.89130743 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00545053 rounded to four decimal places?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.5 (c) 1.6 (d) 1\/3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2730 - 1095. Suppose -2*q = 4*u + k - 5273, 3*u - 5*q - 2735 = 0. What is the units digit of (-2)\/9 + u\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(10\/(-4))\/(-5). Let l be (f - -2)*4 - 0. Solve -y = y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5223618 is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47202, 188826, 424874, 755352, 1180266, 1699622, 2313426?\n\"Answer: t**3 + 47206*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35669, -36452, -37757, -39584, -41933, -44804?\nAnswer: -48197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -846*m + 49057. Determine k(58).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44247168 a multiple of 2832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 16778?\nAnswer: -5\/16778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -3 + 1\/3*z**3 + 2*z + 0*z**2. Let w(u) be the first derivative of x(u). Let y(f) = 2*f**2. Determine y(w(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - y = -21, -2*y + 16 = -3*q - 46. Let d be 52 + 4*35\/q. Which is smaller: d or 47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.43 - 195.57. Let g = 197 - q. Let d = g - 397.000267. What is d rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*d + 5*d + d)*(275*d**4 - 13221*d + 13221*d).\nAnswer: -4400*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.01, -176, -2\/21 in increasing order.\nAnswer: -176, -3.01, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 - l - 1. Let w = 6 + -4. Let s be a(w). List the prime factors of (s - 4*-2) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153\/70 + -25\/14. Which is the closest to -2\/3? (a) 2 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1472 by -736.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42728 and 18648?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 15*v + 14. Give l(6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30614 = -222*n - 285*n + 15842 - 22239 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20138796 take away -26769?\nAnswer: 26768.79861204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 0, 7, 4966?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**4 + d**3 + d**2 + 1. Let w(m) = m - 9*m**3 + 21 + 4*m - 5*m**4 - 13*m**2 + 2*m + 5*m. Let j(g) = 3*b(g) - w(g). Suppose j(t) = 0. What is t?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 4 (c) -5 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -90, -187, -284, -381, -478, -575?\n\"Answer: -97*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -32*z + 37. What is the remainder when k(0) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94 and 10364?\nAnswer: 487108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((3 - -8) + -19 + -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 7*g + 5. What is q(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-2))\/((-1143)\/(-254))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 2*i + 1964 - 2004, -3*u - i = -70 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 106, -28, 1, 0, -2 in increasing order.\nAnswer: -28, -2, 0, 1, 106, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 14}. Give prob of sequence yx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 100797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 2:35 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 5*u + 3. Let y be 1*(3 + -2)*-5. Let w be d(y). Suppose -17 - 4 = -3*b + 3*c, -17 = -2*b - c. Solve w*n = n + b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 2. Let p be (47 + 4)*r + -4. Suppose b - 18 = -5*z, -4*b - 5*z + 4 = -p. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-720) + 58\/(-160)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1152)\/768)\/((-51)\/12).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. What is prob of sequence hhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 8822.\nAnswer: 8822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*c - 22 + 22 as y + g*c and give g.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 5, 13\/2, -0.08?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4455 - 2231 + 122*x - 2*x**4 - 4*x**3 - 2226 in the form q*x + j*x**4 + i + a*x**3 + w*x**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 115 (b) 0 (c) -0.7 (d) 3 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12622257 to the nearest integer?\nAnswer: 3553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -2\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787991265 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: Simplify ((k**(-10))**(-2\/33))**(-4\/7) assuming k is positive.\nAnswer: k**(-80\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558 - 18*w**3 + 7*w**3 + 4*w**3 + 5*w**3.\nAnswer: -2*w**3 - 1558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 47.98, 8, 2\/19, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9168889 grams to nanograms.\nAnswer: 916888900","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + -3)*1 + -3*sqrt(425) + 2 + (-1*(sqrt(425)*2 - sqrt(425)) - (sqrt(425) + sqrt(425)*-2 + 2)))**2 + 1.\nAnswer: 60*sqrt(17) + 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 121613, 121570, 121525, 121478, 121429?\n\"Answer: -u**2 - 40*u + 121654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9 + (-6 - -9) - (-15 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*s - 28, h - 3*s + 69 = 4*h. Suppose -46 = -3*k - 4*c, 2*k - h = -3*c + 11. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -3. Let s be ((-5)\/15)\/(v\/4). Do s and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 54 = -0*o. Is o < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 203. Let s be 504\/336 - (-410)\/20. Calculate the greatest common divisor of s and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2816 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = g + 9, -5*b + 18 - 27 = -4*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/4 + 87*w**3\/4 + 89*w**2\/2 = 0. Calculate w.\nAnswer: -2, 0, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) - ((sqrt(19) + sqrt(57)\/sqrt(3) + 2 + sqrt(19) + sqrt(19))**2 - sqrt(19)) - ((sqrt(19) - (sqrt(19) - sqrt(38)\/sqrt(2)) - sqrt(19))*-2)**2.\nAnswer: -308 - 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 - 2. Let d be x(3). Let h be (-6)\/d + 1 + -3. Is -1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/1350391 and 83\/84.\nAnswer: 16204692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7861, -31376, -70561, -125410, -195917?\n\"Answer: n**3 - 7841*n**2 + n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-3 - 2)\/(-10). Let u = 0 + -0.1. Let x = u - 0.9. Which is the nearest to 1? (a) 4 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -57f0e7?\nAnswer: -57f0ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5327*-0.48\nAnswer: -0.255696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 404 - 407 = -3*w, -c = -w + 277. Let y = w + -269. Let z(s) = -2*s - 4. Let n(k) = 2*k + 4. What is y*n(m) + 2*z(m)?\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + (-330 - -303) + -4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 5) to base 6\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000011001000 (base 2) to base 13.\nAnswer: 3a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 379908.\nAnswer: -379908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83920397\/320 + 262251. What is the common denominator of x and -91\/36?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/6 + 2*t**2 + t. Let y be 2*((-1 - 0) + -1). Give l(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020843158.\nAnswer: 2, 3, 23, 14643791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -420 in -2, 1, -3\/4, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 5*m**2 + 2. Let h(c) = c**6 - 5*c**3 - 11*c**2 + 5. Let y(p) = -2*h(p) + 5*j(p). What is the third derivative of y(d) wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26\/125 + 73\/250. What is w in 3\/2*w - h*w**3 + 0*w**2 + 1 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314882505 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333)\/74)\/(-3*2\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-126)\/189*(-6)\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11210? (a) 2 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -368 divided by -177\nAnswer: 368\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/3 - 11)*(-9)\/((-63)\/79)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3130*c**3 + 1428 + c - 729 - 697 to k*c**3 + r*c + a*c**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21465535 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2311439 is divided by 922?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759751642.\nAnswer: 2, 13, 347, 84211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20649 + -10984. List the prime factors of b.\nAnswer: 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1048278 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3283.6 + -2923. Round f to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -27185 + 0.01?\nAnswer: -27184.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1\/3 (b) 0.72 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/283 and 53\/32.\nAnswer: 9056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from zatzlljj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55019366?\nAnswer: 2, 27509683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2627 and 35.\nAnswer: -91945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuq when three letters picked without replacement from {u: 5, q: 13}.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Suppose -3*k + 0*k + 41 = 5*m, m = 3*k + s. Suppose 5*h - m = 38. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -11. What is the third derivative of -3 + 4*a**2 + 3 - l*a**3 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -3\/70*o**5 + 2*o + 2 + 0*o**2 + 1\/14*o**4 - 1\/21*o**3 + 1\/105*o**6. Let w(z) be the first derivative of m(z). Factor w(j).\nAnswer: 2*j*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355286943 to the nearest integer?\nAnswer: 18849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 28 = 0, -5*j + 56*d + 17 = 57*d. What is the lowest common multiple of 7956 and j?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.09505\nAnswer: -0.28515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 2*k**2 - 7*k. Let t be j(-3). Suppose -t = -8*c + 34. What is the lowest common multiple of 5 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9382?\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 39)*3\/(-6). Let m = o - -37. Suppose -3*b + 26 = 4*l, l - m = -5*b - 2. Solve 0 = b*i + 3*u - 13, -5*i = 3*u + 2*u - 25 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-70)\/(-105))\/(1\/(-3) + 0). Which is the fourth smallest value? (a) 0.13 (b) -4\/3 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2\/(-42)*(3 + 0)). Let x(d) = -2*d + 9. Determine x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + x**2 + 0*x**2)*(4*x - 2*x + 0*x) + 2*x + x**3 - 2*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 3?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 3*j + 154. Let v(h) = -4*h**2 + 7*h - 325. What is -9*p(t) - 4*v(t)?\nAnswer: -2*t**2 - t - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6558776.\nAnswer: 2, 7, 173, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1344)\/48)*(2\/(-124))\/(2\/28)\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10330049771 take away -0.31?\nAnswer: -10330049770.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 4*w + 5. Let m be h(-5). Let p(r) = -r**2 - 11*r + 1. Let s be p(-10). Let c = -6 + s. Solve c*v + 3*j = 2*j + m, -5*v = -4*j - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*s**2 - 1 + (-3 - 1 - 4)*(0*s**2 - s**2 + 2*s**2).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9755000 to the nearest one hundred thousand.\nAnswer: 9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -13*f**2 + 8*f + 146018. Is b(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 6:36 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3362673, 6725345, 10088017?\n\"Answer: 3362672*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5.161296 and -13.\nAnswer: -7.838704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120911938\/25065 + -1418\/2785. Let t = -4831 - v. What is the common denominator of 579\/(-264) - (-4)\/(-22) and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*t - 175*t + 75562 - 195898 = -982*t for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449673.4nm to kilometers.\nAnswer: 0.0000004496734","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 1\/10*v**5 + 12*v - 3 + 1\/30*v**6 - 1\/3*v**4 + 0*v**2 - 4\/3*v**3. Suppose b(g) = 0. Calculate g.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -35, 2, 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 55. Solve k*r - 26 = -4*q, -r - 15 = -4*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 0*l**2 + 3*l**2. What is the smallest common multiple of (-2272)\/(-104) - (-2)\/13 and y(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*l + 89, -153 = -w - w - 3*l. Suppose -2*d + f + 0*f = -39, 2*d + 5*f = w. Solve -6*h = d + 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.656979 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvmv when four letters picked without replacement from {v: 7, m: 3, a: 4}.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 192 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-27)\/(-7))\/(9 - 7513\/77) and 27\/80.\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38.89 * -0.31\nAnswer: 12.0559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + x + 2)*(-6*x + 3*x + 2*x) + 2*x**2 + x**2 - x**2 + 0 + 2*x**2 + 0 + (x + 1 - 1)*(-x + 0 + 0))*(3*x - 3*x + x**2).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -117. Let j = v - -80.8. Let u = j + -5.6. What is the closest to 0 in u, -4, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -149*k + 51. Let a be y(6). Let z = a - -870. What is the highest common divisor of z and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 - 9 - 7718\/(-454).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16193 + -949307. What is r rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 54758501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 2:35 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-69)\/(-21) + 1\/21*-6. Let o be (-123 + y)*(-1)\/3. Which is the smallest value? (a) 3\/2 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1392 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431500 = -25*j - 0*j. Let t = j + -8169. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.075 - 18.075. Put -1, x, 1\/4, 1 in ascending order.\nAnswer: x, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267707\/1232870 + 81\/3977. Calculate the common denominator of (-78)\/56*(-4)\/6 and h.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 340241234 + -13?\nAnswer: 340241221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n + 16. Determine x(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 20*g**2 - 27*g + 14. Calculate s(19).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2279 <= -38957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 78.4. Put -2\/19, 4, -2, x in descending order.\nAnswer: 4, x, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:27 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2246 + 4122. Is 34 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187942023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 - 1 = 0. Let z(u) = 2*u - 1. What is z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 3*w + w)*(-1 - 4 - 10*w + 9*w) in the form v + n*w + l*w**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269360 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/44 - -75\/44. Sort h, 3, 2\/5 in descending order.\nAnswer: 3, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/3 - 9*l**2\/2 + 5*l - 87. Give m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16555246.\nAnswer: 2, 17, 89, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -12*i**2 - 2*i + 1. Let q be r(1). Let l = -3 - q. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4500 divided by -6.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 4. Let q be 300\/(-28) - (-2)\/(-7). Let r(j) be the third derivative of -2*j**4\/3 - 10*j**3\/3 + 842*j**2 + 1. Calculate q*n(i) + 2*r(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 55*x + 4411. Let a be u(-13). What is the highest common divisor of a and 288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(77)*-4*-6)\/(3*2*sqrt(1584)*3).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -3. Let m(u) = u + 6. Let n be m(-9). Which is the nearest to v? (a) n (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -27*s**2 - 3. Let y(u) = -u**2 - 1. Let r = -1534 + 1538. Calculate r*y(k) - t(k).\nAnswer: 23*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 + 3*m + 4. Let q be s(4). Let j = q - 4. Let c = j + 4. Solve 3*t + 9 = c, 0 = -3*x - 4*t + 2 + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, 6*n - 12250 = 3*r + r. Calculate the least common multiple of n and 5317.\nAnswer: 26585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9404886)\/(-11124))\/(-19) - -3. Let w = -2\/927 + p. What is the common denominator of 85\/32 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5427*u - 23. Let m(t) = 27137*t + 126. What is 11*a(o) + 2*m(o)?\nAnswer: -5423*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.81 and -0.118.\nAnswer: -4.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -9276\/295 equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 16 = -2*i. Let y(n) = 10*n + 16. Let d(z) = z + 1. Let j(c) = 12*d(c) - y(c). Determine j(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6209 + 6250. Put -2, -2\/9, -9, g in decreasing order.\nAnswer: g, -2\/9, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 5) to base 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8142 and 374178?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 2 r when four letters picked without replacement from {r: 2, w: 1, m: 1, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + d + 10 = 0, 0 = -0*k - 3*k + 2*d - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 436, 440, 446, 454, 464, 476?\n\"Answer: b**2 + b + 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 4*c**3 + 8*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, o: 4, v: 6}. What is prob of picking 1 v and 1 o?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.07 * 2.0508.\nAnswer: -4.245156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 29. What is the smallest common multiple of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((-5 + sqrt(1331)*1 + -2)*-6)**2.\nAnswer: -5544*sqrt(11) + 49676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 597267870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*u - 7 = 0, 5*w - 9*u + 7 = -8*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, 104, -4, -1, -6 in descending order.\nAnswer: 104, 34, 4, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehnhhhhnhnhhhhhh. What is prob of sequence en?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 21050.21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -34*t**5\/5 + 5*t**4\/12 - 1047*t**2 + 719*t. Find the first derivative of v(x) wrt x.\nAnswer: -408*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 50*b**3 + 15*b**2 - 15. Let u(v) = v**3 + v**2 - 1. Calculate c(l) - 15*u(l).\nAnswer: 35*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*d - 4, 2828*o - 2824*o + 12 = d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (2940\/(-1890))\/(4\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30700 and 2980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 15*q - 18*q - 28 = 0, -2*q - 24 = -4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 28*t - 67. Let a(k) = 3*k**2 + 85*k - 202. Let n(o) = -3*a(o) + 8*b(o). Let v be n(-33). Solve -l - 4 = 0, 4*j - l = l - v for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316\/2841179 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.784*-0.01008.\nAnswer: -0.01798272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2786\/31 in 3, 2\/47, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -37, -33, -27, -19?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14340 (base 9) to base 2.\nAnswer: 10011000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 479 - 66. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21.544*175\nAnswer: -3770.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 90225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3\/5 + 122*r**2\/5 + 384*r + 360 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 823380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/592 and -9\/110?\nAnswer: 32560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1286*c. Let v(h) = -3*h**2 + 85*h + 1. Calculate r(v(y)).\nAnswer: -3858*y**2 + 109310*y + 1286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 10:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:33 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/105 + 7*v**5\/60 + 2*v**2. Find the third derivative of c(n) wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*a**2 - 159*a**2 - 156*a**2 + 2*a**3 - 3*a + 481*a**2 to b*a**2 + n + r*a + m*a**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 + 22. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. Let o be ((-4)\/(-2))\/((-1)\/2). Let x(l) = 3*l**3 - 2*l**2 + 4*l. Let i(t) = -t**2 - 1. Let m(r) = -4*i(r) + x(r). What is o*q(a) - m(a)?\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1809.8 + -1810. Let o = -0.79 + 51.79. Which is the biggest value? (a) -0.5 (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11347875 a multiple of 875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 0)\/(3 + 1 + -2). What is the smallest value in 0.4, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26\/1331 or -1?\nAnswer: -26\/1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3db37b - -2?\nAnswer: 3db37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -44*w**2 - 77*w**2 + 44*w**2 + 82*w**2 - 59*w**2. Let j(x) = -x + 45. Give r(j(i)).\nAnswer: -54*i**2 + 4860*i - 109350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a. Let w(d) = -3*d - 1. Let j be w(-5). Let t(y) = 14 - j - 3*y. What is r(t(l))?\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11264700 rounded to the nearest 10000?\nAnswer: -11260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w - 1. Let s be a(1). Let h be ((-2)\/6)\/(50\/1800). Let b be 1\/s + 2\/h. Solve 4 = -t + u - b*u, 3*t + 2*u - 13 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00270157 rounded to 5 decimal places?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 774 - l**4 - 2211 - l**3 + 824 + 4*l**2 - 3*l**2 + 768 to j*l + u*l**3 + x*l**2 + h*l**4 + v and give v.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/(-4)*(-13)\/130 - 0 and -73\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2710, 23295, 79156, 187927, 367242, 634735, 1008040, 1504791?\n\"Answer: 2939*t**3 + 4*t**2 - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/13, -2\/61 in descending order.\nAnswer: 10, 2\/13, -2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 - 0 - -87 - (-29 - (-57 + 17)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -18615 (c) 1\/81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.35 and 0.9.\nAnswer: -0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 15 = 22*t. Solve 4*x - 5*x - t = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24 + 3 + (-8)\/2. Calculate the highest common divisor of z and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40425424 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 156632370727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3 - 1040. Let y(r) = -3*r**2 - r**2 + 2*r**2. What is x(y(f))?\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-24))\/(6\/27). What is the nearest to -1 in 0.2, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1092\/36)\/(1\/3). Suppose 5*m + 621 - i = 5*w, 3*m = -w + 98. List the prime factors of (w\/6)\/((-5)\/(-15)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-144))\/((-6)\/(-27))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-413 - 6605 + 2250)*(-k**4 - k**4 + 3*k**4) in the form n*k + w*k**2 + z*k**3 + r*k**4 + l and give r.\nAnswer: -4768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {w: 1, r: 4, c: 1, d: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/5 - 626*o**3 + 127464*o**2\/5 - 1499688*o\/5 + 832032 = 0. What is o?\nAnswer: -1605, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 243\/(-243)*84\/(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*a - 30 + 73 = 0, -38 = -4*n - 3*a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(21)\/(2*sqrt(3)) - sqrt(7)))*-3.\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26015*i - 16377*i + 9996*i.\nAnswer: -32396*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sdzdsiiedsssessssse?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568 is divided by 178.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 823*v**2 - 7939*v + 25264. Determine i(-421).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -108186 and -108185 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0814658 - 5.71.\nAnswer: -5.7914658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110259598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15*(18 - (-12)\/(-4)). Let o be 8\/l - ((-16)\/(-3) + -6). Factor -9*p - 3*p**2 + o*p**2 - 2*p**2 + 13 - 19.\nAnswer: -3*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 504592, 0, -4 in increasing order.\nAnswer: -4, 0, 504592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/1993?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4140 and 13565355?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/27 (b) 2 (c) -12.8 (d) -0.0018\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 924718860 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40500 and 1980540.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100011 - -10011?\nAnswer: -1111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*r = 5*r, -4 = 3*a - 5*r. Factor -4*t**4 - a*t - 6*t**3 - 2*t**3 + 6*t + 10*t**2 - 2*t**4.\nAnswer: -2*t*(t - 1)*(t + 2)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 + 209. Suppose 5*x = o*y - 208 - 142, 5*x = 4*y - 280. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (768\/456)\/(41\/(-1558))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 + 85 = 0. Suppose 2 = 4*c - v. Factor -84*z**2 + 0*z - 76*z - c*z**4 - 36*z**3 + 0*z**2 - 24.\nAnswer: -4*(z + 1)**3*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 12*l**2 - 17*l + 35. Determine h(-14).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239 or -351974\/1479?\nAnswer: -351974\/1479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.075 - 52.925. Let w = -53.4 - r. Let s(z) = z**2 + 5*z + 4. Let h be s(-5). Sort h, 2, w.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 2*z**2 + 4*z**2 + 4 - 3*z**2. Let q be y(-4). Let x = q + 10. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 10*m**2 - 3*m - 12. Calculate the remainder when 52 is divided by a(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 8:55 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - n = -3*y + 12, 19 = 5*y + 3*n. Suppose 2*x - y = 3. Find the third derivative of 28*m**x + 6*m**2 + 14*m**6 - 28*m**4 wrt m.\nAnswer: 1680*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92781\/2*b**2 + 1306071\/2*b + 2197\/2*b**3 - 6128487\/2.\nAnswer: (13*b - 183)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3692698 is divided by 355?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 1 = -29. Suppose 4 = p - v*o, 2*p - 6 = 3*o + 2. Let i(h) = -3*h**3 + 3. Let q(k) = 5*k**3 - 5. What is p*q(w) + 7*i(w)?\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 1 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0485 * -1.8.\nAnswer: -0.0873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -381a0dc?\nAnswer: -381a0d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 + 33*j**3 + 38*j**3 + 32*j**3 - 151*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 17 = -62. Let w(i) = i**3 + 14*i**2 - 2*i - 3. Let v be w(t). Suppose v = 5*f + g - 5*g, -4*f + 357 = g. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3*v - 3*v)*(-4*v**3 + 2*v**3 + 3*v**3) + 32*v**5 - 113*v**5 - 109*v**5.\nAnswer: -191*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 - 8*k**2 + 3*k. Let g(a) = -2*a**2 + 621 - 1219 + 598. Determine g(n(c)).\nAnswer: -2*c**2 - 64*c - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/((r\/(r\/(r\/r**(-3\/4))))\/r*r))*r\/r**7*r)**(25\/4) assuming r is positive.\nAnswer: r**(-425\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + 2\/(-6)*3*0. Let u be 4 - 44\/10 - (q - -4). Which is the nearest to u? (a) 3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 169*f**2 + 3998*f + 8680 = 0 for f.\nAnswer: -2, 31, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -36*i**5 + 68444*i**4 - 29201992*i**3 - 3243358464*i**2 + 722187648*i = 0?\nAnswer: -91, 0, 2\/9, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 925922032 to the power of 1\/3, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23275 and 275?\nAnswer: 256025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + 14 + (18 + (2 - 9) - 9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323303 (base 4) to base 15.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 3:31 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-44)*-11)\/((-43)\/(-516)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(84)*-2)\/((sqrt(132)*1)\/sqrt(11)) + 5*((sqrt(5103) - (sqrt(5103) + sqrt(5103) + (sqrt(5103)*-3)**2)) + sqrt(5103)) + 0.\nAnswer: -229635 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 14 - 6 = 2*f, -4*f = 2*h - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k + 1. Suppose -r - 12 = -0*r + 3*x, 2*r = -x + 1. Suppose -r*q - 5*o - 19 = 0, -q = 4*q - 3*o - 25. Let n = 4 - q. Give t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 578665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-22\/7)\/(d\/d**(-24)))\/(d\/((d**(2\/9)\/d*d)\/d*d))**(-21))**(-3) assuming d is positive.\nAnswer: d**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -129731, -259440, -389143, -518840, -648531, -778216?\n\"Answer: 3*p**2 - 129718*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 69893370.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 2. Let v = 260 + -132. Suppose 9*l - v = 5*l. What is the remainder when l is divided by i(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)\/z)**(19\/4))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*m**4 + 2*m - m - 82*m**4 + m**3 + m**3 to n*m**3 + u*m**2 + x*m + p + z*m**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 46*s + 376. Calculate b(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 33.9*126\nAnswer: 4271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, q: 1}. What is prob of picking 1 q and 1 h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-5)*(-57)\/(-285)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by 1.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -48525230 divided by 1?\nAnswer: -48525230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-129)\/(-6))*(-4)\/2. Let r = -47 + k. Suppose r = -4*o + o - 2*p + 46, -5*o = 5*p - 85. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7401 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g + 45*g + 205*g as o + f*g and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-60))\/(3*(-6 + 159\/27))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q - 19. Let v(o) = -o. Calculate -f(b) - 5*v(b).\nAnswer: -2*b + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*f + 71659899 + 89835359 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b. Let o(l) be the second derivative of 3*l - 3\/2*l**2 - 1\/24*l**4 + 0*l**3 + 0. Let s(r) be the first derivative of o(r). Give u(s(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/51 and (-44)\/(-26) + (-48)\/(-96).\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -57*j + 168. What is the remainder when b(-3) is divided by 69?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 16*f**2 + 34*f - 178. Let p be y(6). Calculate the highest common divisor of p and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10676690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1651 - 1649. Let b(n) = 19*n - 2. Let c(d) = 1254*d - 133. Give g*c(a) - 133*b(a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3352*l - 79680 = -874*l + 31830 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005536927 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/(4\/36). Suppose 0 = -k*n + 4*y + 7, -5*y - 10 = -5*n + 10. What is the lowest common multiple of 1*2 + 6*1 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:31 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2 - 3156*k - 387504 = 0. Calculate k.\nAnswer: -108, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 6*w**2 - 8*w + 18. Let x be i(7). Suppose o + 3 = 0, 7*k + o + 68671 = x*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 72*m + 94. List the prime factors of q(-56).\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311459501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o**2 - 2*o**2 - o**2. Let j(k) be the third derivative of k**4\/12 - 2*k**2. Calculate g(j(r)).\nAnswer: -44*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 2)*(0\/3 + 3). What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 35 = -2*l. Suppose 2*y = l*y. What is q in 0 - 2\/3*q**3 + y*q + 2\/3*q**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*1 - sqrt(68)) + sqrt(68) - (-4*(sqrt(17) + sqrt(17)*-1) - sqrt(17)))*-6*-5.\nAnswer: 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/6)\/((-6)\/(-136))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 433423 - 222?\nAnswer: 433201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let d = -767 - -1424. Let y = -655 + d. Which is the nearest to 14? (a) 5 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**2 - 18*r**2 - 13*r**2)*(0 - 4 + 3).\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -52*b*j**2*r + b*j**2*t**2 - 403*b*j**2*t - 3*b*j**2 - 33*b*r*t**2 - b - 52*j*r + j + 2*t**2 wrt r?\nAnswer: -52*b*j**2 - 33*b*t**2 - 52*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5296 by 662.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 2*u**5\/15 + 5*u**4\/12 + u**3\/3 + u**2\/2 - 2. Let h(a) be the second derivative of i(a). Suppose h(y) = 0. Calculate y.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*l - 10. Let m = -9 + l. Suppose 28*n = 143 - 31. What is the highest common factor of m and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3604 - -451. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + 80 - 156 - -141.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 6*b + 7*s - 23 = 10*b, -6*b + 3*b + 11 = -s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -8. Let w = o - -7. Let y = 10 - w. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1025, -1028, -1031, -1034, -1037?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 1348470\nAnswer: -1348468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((745\/3)\/(-1))\/((-2)\/12).\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 17\nAnswer: 13\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 - 3*a**3 - 451*a**4 - 3 + 439*a**4 - 7*a**3 in the form c*a**2 + b*a**3 + x*a**4 + l*a + n and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/4)\/((1050\/(-900))\/(-7))?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1 + 0 + v**3 + 3*v + 0*v - 2*v. Let d(s) = -4*s**3 - 2*s**2 + 16*s + 8. Let b(t) = 5*t - 4. Let k be b(2). Let a(n) = k*c(n) - d(n). Factor a(w).\nAnswer: 2*(w - 1)*(w + 1)*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Let i(y) = -9890*y. Give i(x(w)).\nAnswer: 19780*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*r + 51*r**3 - 127*r)*(1 - 1 + 2*r).\nAnswer: 102*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1266*u + 1395*u + 5897*u + 1 in the form l*u + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134)*2*-6)\/((sqrt(32) - (sqrt(32) - -2*sqrt(32))) + (-3*sqrt(50) - sqrt(2))))**2.\nAnswer: 567\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(0 + sqrt(171))*2 - (((2 + -1 + sqrt(19) - sqrt(19))*-6)**2 - (sqrt(1900) + (-2 + sqrt(1900) + 1)**2)).\nAnswer: 170*sqrt(19) + 1865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240*h**2*m**2 + 364*h**2*m + 9*h**2 - 1761215*h*m**2 + 18*h wrt h.\nAnswer: 480*m**2 + 728*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 4*v - 3. Let u(k) = -k**3 - 2*k**2 + 7*k - 5. What is 7*a(w) - 4*u(w)?\nAnswer: 4*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2 - 0) + (14 - 10) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9 + 8 - x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 12) to base 13\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365991578?\nAnswer: 2, 2593, 70573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109 - 107. Solve -2*j + 3*l - y = 9, -5 = 5*j - 3*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s + 26583*s**5 - 12 - 27563*s**5 + 8*s wrt s.\nAnswer: -19600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190257 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i + 6 = 0. Suppose -6*f + i = -4*d - 4*f, -5*d = -f + 9. Let g be (2 - 8)*1\/d. Solve -4*p = g*x + 12 - 5, -3*x - 5 = 5*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -87*r + 91*r - 12, 0 = -2*l - 3*r + 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2 + 1 + 2 - 2 + (-4 + 0 - 2)*(-6 + 3 + 4) + 0 + 4 - 3)*(3*z - 2*z + 2*z).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -8*l**3\/3 + l - 7. Differentiate a(d) wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 20. Let c be x(-9). Let n(z) = -17*z - 11. Let v(g) be the third derivative of -3*g**4\/8 - g**3 + 6*g**2. Give c*v(s) + 6*n(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 2. Let f be v(0). Let z be f*((-9)\/2 + 1). Suppose -2*m = -4*p + 86, 4*p - z*m + 2*m = 77. Calculate the remainder when 65 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13214290, -52857128, -118928524, -211428478, -330356990, -475714060, -647499688?\n\"Answer: -13214279*y**2 - y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143293 is divided by 28656.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -11*x + 45. Let k be l(-9). Suppose 586*o = 589*o - k. Calculate the remainder when 765 is divided by o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23 = 5*l, -4*p - 53 = -9*p + l. What is the remainder when 128 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 3 + 4 - 3*j + j**2 - 2. Let w be p(5). Solve -2*i + 5*i - w*h - 3 = 0, 0 = -5*i - 2*h + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.53 - -56.53. Which is the closest to 2.51? (a) l (b) -0.3 (c) 1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(720) + sqrt(720) + 1*sqrt(720) + 4 + sqrt(720))**2.\nAnswer: 384*sqrt(5) + 11541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22523 - 204523\/9. Let g = 202 + k. Which is the third smallest value? (a) 0 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4570 = 72*j - 4642 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*q - 1. Let g = -32 - -34. Suppose -4*t + 509 = -j, -j = -g*j - q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 11. What is r(-11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 120439\/33612 + 1\/8403. Calculate the common denominator of (-4)\/42*(-8176)\/192 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61a - -cd?\nAnswer: -52b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/9, 3, 0.045?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 84*k - 2657. What is u(35)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 k, and 1 u when three letters picked without replacement from mmjmkukkomrk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 404 and 1968288.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/65 + 11 + 890\/(-130).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 4 - f - 2*f)*(-2 - 1 + 4).\nAnswer: -3*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3125*g - 21 + 27)*(0*g + 0*g - 2*g**2) to the form i + f*g + n*g**2 + c*g**3 and give c.\nAnswer: -6250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32 + 47. Suppose -18 = -3*q + f. Suppose -4*m = -0*m - 128. What is the remainder when m is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10071 - -161?\nAnswer: -9910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/3 + 4448*j\/3 = 0.\nAnswer: -2224, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 9)\/(2 + -4). Suppose -3*n + 3 = 0, 11 = c*p + n - 5*n. Suppose k = p*k - 106. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + l + l = -5, 2*l = -r + 1. Let s be r*(1 - (-4)\/4). Suppose -s*y + q = -39, 2 = q + q. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 7, s: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 77, 2, 3, 5 in increasing order.\nAnswer: -1\/3, 2, 3, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let z be b(8). Solve 0 = -5*h - 5*o + 35, z*h = -4*o + 15 + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crr when three letters picked without replacement from {r: 3, c: 6, v: 3, y: 5, t: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**4\/2 + v**3\/3 - 3*v**2\/2 + 5*v + 7. What is the units digit of z(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = 2*j, -3*j = 2*p - j + 8. Let f(r) = r**3 + 21*r**2 + 23*r + 53. Let d be -27 + (-2 - (2 + -6)) + 5. Let x be f(d). Is x at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 + 8*q**3 + 2*q**2 - 8*q = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6414, 7088, 8198, 9750, 11750?\n\"Answer: v**3 + 212*v**2 + 31*v + 6170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1222213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52933713.\nAnswer: 3, 7, 79, 31907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/17 or -2?\nAnswer: -11\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 2*m - 40, 5*m + 6 = -2*u + 2. Let p(v) = v**3 - 7*v**2 - 7*v - 3. Let k be p(u). Which is the nearest to 0? (a) 4\/7 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 25*y - 117)*(-5*y**2 + 2*y**2 + 12*y**2 + (-3*y**2 - 1 + 1)*(4 - 3 + 0)).\nAnswer: -150*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-14))\/(13\/(-91)). Let l = t + 6. Solve -5*v + 2*f + 16 = l, -4*v + 11 = -f - 0*f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u - 14 - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522184 is divided by 135.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3969 - 1010 - 985 - 988 - 42*c - 988.\nAnswer: -42*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10530*q**2. Let w(r) = 17*r. What is w(m(u))?\nAnswer: -179010*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9 - -24.5. What is a rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 604, 605, 606, 607, 608, 609?\n\"Answer: w + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = 0. Let h = 8 + -6. Suppose -h = l - 0. Which is smaller: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.56455845 rounded to four dps?\nAnswer: 1.5646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 83204 + 168957 - 37505. Is 90 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491608, -983897, -1476186?\nAnswer: -1968475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 - 28*f**2 + 7*f + 14. Let i be g(-5). Is i at most 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 + 325*n**3 - 1755*n**2 - 325*n + 1750 = 0. What is n?\nAnswer: -70, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201778 is divided by 25217?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6755529 to the power of 1\/2, to the nearest integer?\nAnswer: 2599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7691365948121358083.99999558 - -7691366012390751028. Let k = t - 64269393480. Let f = -536 - k. What is f rounded to seven dps?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 2*i - 2, 3*i + 61*h - 5 = 62*h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*q + 153*q + 10 = 2*k, -4*q - 30 = 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 1364*r**2 + 4078*r + 2716.\nAnswer: 2*(r + 1)*(r + 2)*(r + 679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -425, -1701, -3827, -6803, -10629?\nAnswer: -15305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158065*b + 158170*b - 1155 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-246)\/(-8))\/((-24)\/(-160))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -114. Which is bigger: i or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 6*u**2 + 6*u + 20. What is f(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 221*r = 8*o + 223*r - 38, 0 = 3*o + 5*r - 89 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-176)\/33 - ((-28)\/4 + 1))*3. Which is the second smallest value? (a) -32\/9 (b) z (c) -2\/3 (d) 1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/8)*g*g**(2\/3))**30\/((g**(1\/2))**22*(g**(-1\/3))**(-15\/4)) assuming g is positive.\nAnswer: g**(113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42868 - 42873. Let d = -0.35 + 0.3. Which is the smallest value? (a) d (b) -1\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n. Let y be w(-5). Let f = 14 + y. Let m(l) = l + 5. Let p be m(f). Which is greater: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -447 + 451. Let -29*b**2 - 28*b**l + 15*b**4 + 13*b**2 + 3*b**3 + 17*b**4 - 2*b**3 - 4*b = 0. What is b?\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3488, 7061, 10634, 14207, 17780, 21353?\n\"Answer: 3573*u - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:26 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f - 2 - 3*f - f**2 - 3*f**2 + 2*f**3. Let k be w(2). Suppose -k*i = -8 - 16. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 41*d = h - 226, -2*h - 4*d + 32 + 29 = 47 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + 1.2. Let q = -22 - -21.9. Let s = q - n. What is the smallest value in -1.3, 1\/6, s?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = u - 9, -5*p = 110*u - 105*u - 5. Let m(r) be the second derivative of r + 0 - r**2 - 1\/6*r**4 - r**3. Determine m(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/76 and -139\/3020856.\nAnswer: 57396264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17539485?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (29\/(-9) - 1) + 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12*q + 13 + 12*q + 36 - q**2 + 22*q. Let w be z(24). Solve 4*h + w + 3 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**2. Let u(w) = w. Let i(d) = 3*d. Let o(v) = -v**3 - 10*v**2 + 13*v + 8. Let p be o(-11). Let g(m) = p*u(m) + 4*i(m). What is g(a(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 - (-4)\/14. Let o be 19\/4 - 3\/(-12). Let m(j) = -j**2 + 7*j + 5. Let f be m(o). Solve -3*i - 2*i - f = r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 110, 158, 206?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -76d6 (base 16) to base 9\nAnswer: -45652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 - 2*y + 6. Let j be h(-5). Let i = j + 53. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.02 (c) -150699 (d) -2\/33 (e) 1 (f) -1\/5 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let d be 0 - 2 - 3*t. Is 8\/4 + (d - -79) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198810 and 235.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47569?\nAnswer: 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33678.98mg to grams.\nAnswer: 33.67898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 - 1018*d + 796. Give g(101).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (86916\/14)\/(13\/91). Is ((-40)\/(-24) + -2)\/((-2)\/q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 828 from -1532.\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z = -360. Suppose -49 = 5*o + 311. Let t = o - -81. Calculate the highest common factor of t and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467248.\nAnswer: 2, 19, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189095 or 188878?\nAnswer: 189095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002312 rounded to seven decimal places?\nAnswer: 0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47808937*j - 13706279*j - 12718695*j + 108050641*j.\nAnswer: 129434604*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188510 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from ruawawwwuuusuuws?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0161317 to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*i + 17, 4*o - 4*i - 24 = -6*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 150.\nAnswer: 3750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3441421312 - -32?\nAnswer: 3441421344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 313631 * 503\nAnswer: 157756393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34562582*l**3*u + 257032*l**3 - 2*l**2 + 13*l wrt u?\nAnswer: 34562582*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 56*o**2 + 241*o + 86. Let s be d(-60). Solve -14 = 4*n + 2*b, 5*n - 14 = 3*b - s for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 1211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 5*j + 2. Let b(f) = -f**2 - 4*f - 2. Let h(v) = 5*b(v) + 4*d(v). Give h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201101 (base 3) in base 5?\nAnswer: 41320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 966, 964, 962, 960, 958?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 6*d**2 - 6. Let g(j) = -j**2 + 1. Let k = -127 + 87. Let u be k\/8 + 8\/2. What is u*p(c) - 6*g(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -506.911 - 14.089. Which is the nearest to -2? (a) h (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -390*t**3 + t**2 - 4*t - 6. Let s be i(-1). Let c be -2*531\/12*2. Let m = c + s. What are the prime factors of m?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43127\/125 - -345. Is 0 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from {a: 1, w: 1, y: 2, l: 2, b: 1, r: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**3 - 11*w - 7. Let y(k) = -4*k**3 + 5*k**2 + 5*k + 1. Let x(c) = -2*c**3 + 2*c**2 + 3*c + 1. Let l(n) = 5*x(n) - 2*y(n). What is 7*l(m) + 3*u(m)?\nAnswer: m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n + 0*n**4 + 0 + 3*n**2 + 1\/120*n**6 + 1\/210*n**7 + 0*n**3 + 0*n**5. What is d in u(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1206, -2417, -3628?\n\"Answer: -1211*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14 = 2*a, -35*f - a - 11 = -39*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 894 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 + 3 + 83*s - 18*s.\nAnswer: 65*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**4\/4 + 57*x**2. Let d(z) = 3 + 4*z**2 - 3*z**2 - 3. Determine d(a(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 511900 divided by -4?\nAnswer: -127975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let q(u) = y - u - 3. Let k(o) = 41*o + 48*o - 89*o - 4*o**2. Calculate q(k(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) 7\/6 (c) 3\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 - 3*s + 3. Let t(x) be the second derivative of x**3\/6 - x**2\/2 - 128*x. What is 4*m(h) + 12*t(h)?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.807841 milligrams?\nAnswer: 0.008807841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 36687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4*327\/(-36)*(-1 - 266)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 10 = 3*g - 5*b, 3*g - 27 = -4*b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6444 and 2218168.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 2 + 72\/6. Let g be (-1)\/z*2*-6. Are g and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*u - 33361901 = -33371280 for u.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 10 + 7)*(5*k - 2*k + 0*k)*(-2*k**2 - k**4 + 2*k**2).\nAnswer: -93*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18628, 37249, 55880, 74527, 93196?\n\"Answer: a**3 - a**2 + 18617*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -8 + 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 30*p = 31*p - 464. Solve 17*z + 26 = -p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -2, 0.1, 3\/4, -3 in ascending order.\nAnswer: -3, -8\/3, -2, 0.1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23899*a**5 - 8990*a**4 + 160*a - 334643 wrt a?\nAnswer: -477980*a**3 - 107880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnn. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + 8*n + 55*n - 77*n**3 + 51*n**3 + 24*n**3 in the form l + v*n + w*n**3 + k*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5392\/7 + (-20)\/70. Suppose 5*t = -2*j + 2256, -j = -2*t + x + 136. List the prime factors of t.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shsm when four letters picked without replacement from szsssshshmbmsshthhhh.\nAnswer: 98\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -1166.805?\nAnswer: 1167.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 33241 = 6*b - s, -5*b - 33238 = 2*s. Let c = b + 68648. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -5. Let l(t) = t**2 + 6*t + 4. Let s be l(n). Let v = 42.1 + -43. Which is the closest to v? (a) 0.2 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -56. Let t be (-6)\/27 - k\/(-18). Solve -t = 4*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.4. Let i = 4.3 - l. What is i rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from paapaaaaaaaa. Give prob of picking 2 a.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83544416 and 13092?\nAnswer: 4364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-25))\/((p**(-4\/3)*p)\/p))\/(p**(2\/5)\/p*p)**(2\/25) assuming p is positive.\nAnswer: p**(10238\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from {a: 1, r: 4, x: 1, l: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8*u + 2. Let g(z) = 1. Let s(a) = -8*g(a) + j(a). Suppose 3 - 98 = 5*n. Let c = n + 2. Let o(t) = 23*t + 17. Give c*s(v) - 6*o(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17\/(-20) + 30\/50)*-12. Solve 4*m - 3*r = 5 - 2, -3*m + p = -3*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4976 - -7382. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1448435885.\nAnswer: 5, 13, 29, 768401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -71724 divided by 258\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -682978, -1365945, -2048912, -2731879, -3414846, -4097813?\n\"Answer: -682967*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -3*g**5\/5 + 53*g**4 - 11446*g**3\/9 + 3710*g**2\/3 - 1225*g\/3 - 659. Factor u(s).\nAnswer: -(s - 35)**2*(3*s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9941 + 2053 = 6*y. Suppose -4*v - 1349 = -q, -4*q - y = -5*v - 7406. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let u(o) = -o - 1. Let k(d) = -d**2 - 3*d - 2. Let g(v) = k(v) - 3*u(v). Let r(a) be the first derivative of g(a). Determine r(y(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g + 8. Is 11 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*f**4 - 8*f**3 + 8*f - 94 wrt f.\nAnswer: 912*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 135 + -210. Let l = 790641.00155 - 790716. Let t = s - l. Round t to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3 - 3 - 7 - p + 12. Let j be y(0). What is the smallest common multiple of (4 + 16)*2\/j and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u. Let p(v) be the third derivative of -v**4\/12 + v**3\/3 + v**2 - 10*v. Let r(x) = 5*x - 6. Let z(w) = 6*p(w) + 3*r(w). Give z(f(i)).\nAnswer: -6*i - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 1. Suppose 0*z + 8 = -2*z. Sort z, h, 4 in descending order.\nAnswer: 4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 0 - 4*g + 1\/3*g**3 - 1\/12*g**4 + 5\/2*g**2. Determine p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(5*r - 4*r + 6*r)*(0 - 3 - 3) + (0 + 0 - 3)*(r - r + 2*r).\nAnswer: 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 121 and 99?\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(r**2 + 1 - 1) - r**2 - 5 + 5 - 2804 + 16*r - 2*r**2 - 6*r + 2660)*(2*r + 2*r - 3*r).\nAnswer: -5*r**3 + 10*r**2 - 144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 216, 367, 554, 795, 1108, 1511, 2022?\n\"Answer: 3*n**3 + 130*n + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1735\nAnswer: -867.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*z = -168*z + 9608. What are the prime factors of z?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 26. Let u = 3 + 0. Suppose -89 = -u*j + 1. What is the remainder when j is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 2 - 2 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-15))\/(9\/30). Let c(o) = -4*o - v*o + o - o. Let q(b) = b. Let j(l) = -2*c(l) - 18*q(l). Let m(s) = -3*s**2. Calculate j(m(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -200713.0611276+-1\nAnswer: -200714.0611276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58548 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87580577*d**5 - 95279260*d.\nAnswer: 1751611540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/3*c + 4\/3*c**2 - 2\/3 - c**3 = 0. Calculate c.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, p: 2, u: 2}. Give prob of picking 2 c and 1 p.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 63. Let w be x(13). Suppose 5*l - r = 2, -3*l = -5*l - w*r - 4. Suppose n - 3*p - 153 = l, 5*p = -n - 3*n + 680. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*v**3 - 1442515*v - 6591885?\nAnswer: 84*v**2 - 1442515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**3\/3 - 20. Let h(k) = 31*k**2. What is h(j(d))?\nAnswer: 124*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73970528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -2*b. Let d be 1\/(-2)*(-9 - b). Let z = d - 0. What is the greatest common factor of 15 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -128*b + 1277. Calculate i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**4)**(-2\/9))**(-1\/23) assuming y is positive.\nAnswer: y**(8\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1189172?\nAnswer: 5\/1189172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23 + (16 - -17) + -29 + -1 - -10) + -40.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - o**2 - 4)*(4*o + o - 8*o - 4*o**2) - 58*o**4 + 124*o**4 - 497*o**4.\nAnswer: -427*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t - 5*u - 23 = 0, -17 = -3*t + 2*u. Solve 2*v + 0*v - 1 = -3*z, 1 = t*v + 5*z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - 2*t**4 + (0*t**2 + 2 + 0 - 2*t**2)*(-4*t**2 + 2*t**2 + t**2) + (6*t**2 + 21*t**2 - 8*t**2)*(97*t + 762 - 762)*(6 + 3*t - 6).\nAnswer: 5529*t**4 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 3454?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/66 and -53\/9174.\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16744, -33475, -50206, -66937, -83668?\nAnswer: -100399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2140 + 4281\/2. Which is the nearest to 1? (a) k (b) -3\/2 (c) -4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -192, -168, -5 in decreasing order.\nAnswer: -5, -168, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 4*g)*(-3 + 2 - 1 + (-1 + 1 - 2)*(3 - 1 - 1))*(-2*g + 3*g + 7*g).\nAnswer: -128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022263759673 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w - 5*w)*(19 + 136 - 17 - w).\nAnswer: w**2 - 138*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*i + 26*i - 1605 = 0. Calculate the remainder when 882 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 0*t**4 + 4\/7*t**5 - 8\/7*t**2 - 12\/7*t**3 + 0 + 0*t = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -416?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2. Let i(r) = -3*r**3 - r + 54. Determine -i(k) - 2*o(k).\nAnswer: k**3 - 2*k**2 + k - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 7. Let k(t) = t - 4. Let z be k(m). Solve z = -5*r - 9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiciwdimwidwidw. Give prob of picking 1 m and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5)\/y)\/y*y**(1\/9)*y)**(-1) assuming y is positive.\nAnswer: y**(22\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3310 + -1664. What is the smallest common multiple of 16 and g?\nAnswer: 13168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.3 + -0.3. Let q be (-15)\/(-10)*18\/135. What is the fourth biggest value in 1, -5, q, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249 - 249 + 340*x to the form f + r*x and give r.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 18. Is b less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -26, -94, -218, -416, -706?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 52*s + 1200 = 0 for s.\nAnswer: -12, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -3*k, 2*j = -5*k + 4*j - 8. Solve -17*g + 22*g = k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 6*f - 42. Let m(u) = -u. Determine -i(t) - 4*m(t).\nAnswer: -2*t + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324583813?\nAnswer: 71, 4571603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 630 and 16196607.\nAnswer: 161966070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*t - 0*t - x, -5*t + 4*x - 1 = 0. Let p = -33183 + 33187. Let h = -1 + 3. Solve -4*m = -2*o - h, -p = -o - 6*m + t*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10581 divided by 273\nAnswer: -3527\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14 = -2*o, r - 5*o - 29 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*m - 25, 15 = -3*m + 3*z - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8050.842 to the nearest ten.\nAnswer: -8050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.186307g in milligrams?\nAnswer: 8186.307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1) + (-26)\/22\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from ycyycccccyyyc?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 26208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 4*v**2 - v - 3. Let p be c(-4). Suppose -4*a - p = 3. Are 2 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 10*u**2 + 18*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(576) + 3*sqrt(576))\/sqrt(12) - (-5*-1*sqrt(3) + sqrt(3) + (sqrt(24) - sqrt(24)*2)\/sqrt(8))).\nAnswer: 5 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {i: 6, s: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + 2 + 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 878459465 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5\/148 - -6547\/1036. What is the common denominator of h and -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 977*r = 976*r - 9. Let d be (r + 5)*(-1)\/6*2. Factor d*f - 2 + 2\/3*f**2.\nAnswer: 2*(f - 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4 + -2)\/2)\/1. What is the remainder when 0 + 3\/w + 4 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -44. Suppose 24 = i - j. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3213 = -22*m + 923. What is the remainder when m is divided by 103?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 + i**4)*(-4 + 0 + 2)*(-4205*i - 2740*i + 11*i).\nAnswer: 13868*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 5*z + 2 + 2, 994*z + 175 = 1000*z + 5*d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555*t - 5357*t**3 + 2 - 12007*t**3 + 5259*t**3 - 538*t wrt t?\nAnswer: -72630*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77288, 77880, 78868, 80252, 82032?\nAnswer: 84208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**18\/(k*k*k\/k**20)*k**(4\/11)*k**(-11) assuming k is positive.\nAnswer: k**(268\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18788 - 18792. Let a(z) = 2*z + 14. Let h(n) = 1. Determine g*h(r) + a(r).\nAnswer: 2*r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(1\/4))**(6\/13))**20 assuming r is positive.\nAnswer: r**(270\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 1258425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {w: 2, b: 14, a: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 19 - (-12 + (21 - 3) - 17)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*w + 2*o, -2*o - 62 = -4*w - 8. Solve -2 = 2*u - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*f - 38*f - 58*f + 21075 = -1409 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(22 + 5809\/(-222)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 31 + -6 - -24?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 474110, 469529, 464946, 460361, 455774, 451185?\n\"Answer: -a**2 - 4578*a + 478689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 4*o - 2*o**4 + o**4 + 3*o**2 - 3*o**2 + (0 + 0 - o**2)*(-o - o**2 + o) + 2*o**4 - o**3 + o**3 - 8*o - 13*o + 2*o + 2*o**4 + o**2.\nAnswer: 4*o**4 + o**2 - 19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 + 205*y**2\/4 + 6887*y\/4 + 6683\/4 = 0. What is y?\nAnswer: -163, -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-2))**(-16)\/(((d\/d**(-1\/4))\/d*d)\/d)**18)**(-5))**7 assuming d is positive.\nAnswer: d**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14*28 - (-3 - 9). Let h(l) be the second derivative of 0 - 10*l + 5\/9*l**3 + 1\/18*l**r - 2*l**2. What is a in h(a) = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90782, 180499, 270216, 359933, 449650, 539367?\n\"Answer: 89717*i + 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + (sqrt(19) - 4*sqrt(133)\/sqrt(7)) + 1 - (5 + ((sqrt(228)*-5*-2 + sqrt(228) - sqrt(228)) + sqrt(228) + sqrt(228) - sqrt(228))\/sqrt(12))))**2.\nAnswer: 168*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/20 - v**4\/12 - v**3\/6 - 3*v**2\/2 + v. Let l = 54 + -55. Let g be (6\/l + 5)*(-2 + 2). Determine w(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39231 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {o: 3, d: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 0. Let o be -365 + (4\/(-2) - -1). Does 16 divide i\/3 + o\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13920329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 16) to base 8\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(68970\/132)*(12 - 1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 - -45. Let w(c) = -48*c + 51*c - r + 127. Give w(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87795.77 millennia in decades?\nAnswer: 8779577","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*q - 22, q - 17 = 5*v + 4*q. Which is the closest to -1? (a) v (b) -1 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0 (b) -0.1 (c) -4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9226 + -92349\/10. Calculate the common denominator of (5 + (-82)\/18)\/((-556)\/(-30)) and y.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5*(sqrt(228)*-4 - sqrt(228)) + sqrt(228) - sqrt(228))*3)\/((-6*(sqrt(120)*3 - sqrt(120)) + sqrt(120))\/(sqrt(640)*3)).\nAnswer: -9000*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22837 - -22454. Which is greater: -392 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1560 and 706875.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-56)*8*-4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -516 + 516 - 1662*f**2 + (1 - 3 + 4)*(2*f - f**2 + 4*f**2 - 2*f**2).\nAnswer: -1660*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t - 3*t + 8*t)*(0 - 1 - 1) + t - 5*t + 0*t + (2*t - 6*t + 2*t)*(-2 - 3 + 3) - t - t + t - 3*t + 2*t - t to j*t + l and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 10, -3, 4 in decreasing order.\nAnswer: 10, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20.1*649\nAnswer: -13044.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 2*v**3 + 3*v**3 - 3*v**3 + (8146 - 80*v - 8146)*(2*v**2 - 6*v**2 + 3*v**2) + 2*v - v**3 - 2*v.\nAnswer: 81*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 14\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 1.2. Let w = 54305 - 6299423\/116. Let j = w - -18\/29. Sort j, r, 1\/5.\nAnswer: r, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313266 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 284.2, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/2 + 9*y**3\/2 + 59*y**2\/2 - 56*y. Is n(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1336 is divided by 656?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 20202320?\nAnswer: 20202310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**2 - 253366*z + 62*z**2 + 2 + 253371*z - 3.\nAnswer: 49*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111002002 (base 3) to base 16.\nAnswer: 2d938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = 10*s - 27*s + 21*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*x - 4, 1200*a = 1197*a - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 46 + 3\/3. Let o = v + -28. Suppose 24*a - 396 = o*a. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -541 - -1043\/2. Find the common denominator of 11\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 0.26235\nAnswer: 1.5741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*u**3\/3 - 307*u**2\/3 - 269*u\/3 + 9.\nAnswer: -(u + 1)*(u + 27)*(11*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 23*k + 483 = -4*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2862425 = 4*g + 5*q, -19*g + 5*q - 3578025 = -24*g. What is g rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eererreeeee. Give prob of sequence rerr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -62 (base 14) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*b - 5*m = -302*b + 4, -m = -2*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.5 (b) 0.4 (c) 1 (d) 90 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -3673?\nAnswer: -3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45 + 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2023205?\nAnswer: 5, 167, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3374 is divided by 422?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30d66 - -50?\nAnswer: -30d16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31158, 62293, 93428?\nAnswer: 124563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 70337*g. Let q(u) = 17*u**2. Give q(p(a)).\nAnswer: 84103990673*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 939 + -261. Suppose -3*o - 2*b = -k, 4*o - 900 = -3*b - b. What are the prime factors of o?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*w - 78, 3*j - w - 51 = 2*w. Suppose j = 4*v - 26. Suppose -15*h = -v*h - 231. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 1, s: 2, f: 1, m: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*y + 8*y. Let l(w) = w**2 + 8*w + 3. What is l(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 69*k + 1596. Calculate d(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q + 2. Let g = -135 + 141. Calculate the remainder when y(g) is divided by 0\/(-1 + 2) + 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -w - 2*w, 4*w - 5991 = -5*b. Let l = 2031 - b. What are the prime factors of l?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/6, 0, -2\/13, 121, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aeeeeeemyempeymee. What is prob of picking 1 m, 2 y, and 1 p?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 36*d**2 + 18*d - 40. Calculate u(2).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3797017.02 + 297.\nAnswer: -3796720.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16260120 divided by -45167.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 71 (b) 2.58 (c) -2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -12. Let p = 10 - d. Suppose -26*t - 370 = -36*t. What is the remainder when t is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -d + 1. Suppose -8 = -5*p - 5*z + 32, 2*z - 22 = -4*p. What is the third derivative of -3*j**3 - 2*j**2 - j**d + p*j**3 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 63 = -9. What is the lowest common multiple of 8 and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 51, 1, -2.\nAnswer: -2, 1, 4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1074*u + 582 - 9262 = 109*u + 97*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -767564\nAnswer: -3\/767564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(-4)\/10*-7*-95. Suppose -3*n - 4*n = q. Let j = 80 + n. Solve 2*v + 2*l + l - 15 = 0, 0 = -j*v + 4*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {n: 2, v: 1, g: 1, r: 2, j: 2, s: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207.6 + 208. Let q be 7\/28*1\/(-1). Sort 0, q, -5, s in ascending order.\nAnswer: -5, q, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4056\/19 (b) 4 (c) -4\/5 (d) -4 (e) 614\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40473*b - 71400 = 37073*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 64?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 198518337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-91)\/(-14) - (-1)\/(-2). Suppose 0 = -m*d + 8*d - 8. Let g = d + 11. Solve 0 = 2*n - 7*n - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1807 - -2?\nAnswer: -1805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1282430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 35.8658ns?\nAnswer: 0.0358658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -215 - 2*m**3 + m**2 - 2*m**3 + m + 139 as g*m**3 + n*m + a*m**2 + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.1 (b) 2000 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 3*r = 0, 4*r - 104 = 3*f - 115 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/(736\/(-80) - -9). Suppose -3*c + 3 = -3*q - 0*c, -3 = q - 2*c. Let b(j) = -j**3 + 3*j**2 - 1. Let m be b(q). Solve -v = a - m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.4, 0.1, 6, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:50 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-336*q**2 + 1328*q - 1328*q)*(-2*q + 0*q + 0*q).\nAnswer: 672*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4977203870 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.464371um in millimeters?\nAnswer: 0.007464371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2958 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 30*s - 2066. Give j(66).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1520 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -26. Suppose 0*q - 192 = -o*q. Let d = q - 37. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 4 - (-2 + 2)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from fkfkkfkfckfc.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 3*r**2 - 3*r**2 + (10*r**2 - 35*r**2 - 13*r**2)*(3*r**2 - r**2 + 3*r**2).\nAnswer: -194*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (sqrt(104)\/sqrt(72) + 5)**2) + -3.\nAnswer: -274\/3 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let r(v) = -4*v. Let b(s) = 4*d(s) + r(s). Let w be b(-1). Suppose -32 = -12*l + w*l. What is the least common multiple of l and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2599 or 2591?\nAnswer: 2591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 2\/13, -0.5, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6489 = 15*s. Let u = -200 - s. Is 33 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 1. Let o(x) = -x**2 + 2. Let w(m) = -4*g(m) - 2*o(m). Let t(p) = 11*p**2. What is w(t(n))?\nAnswer: -242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - 5\/(-7). Let n(w) = 15*w - 9*w - 2*w - 6*w**2 - 3*w. Give n(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 7443000 = 3*x. Round x to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30695 to the power of 1\/2, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*h**3*u**3 - 106*h**3 + 2*h with respect to u.\nAnswer: 597*h**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 66148.\nAnswer: -1\/66148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*m**5 + 16\/3*m**2 + 0 + 44\/3*m**4 - 56\/3*m**3 + 0*m.\nAnswer: -2*m**2*(m - 2)**2*(5*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Suppose -5*p = 4*j - 271 - 552, -349 = -2*p + s*j. Suppose 0 = -4*w + 21 + p. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 104*w - 2678 = 23 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*w**3 - 1119*w**2 - 750*w.\nAnswer: 3*w*(w - 125)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 9 = 3. Put 5, y, 4 in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1187 - 2500. Let k = 1847 + o. Suppose 2*w = 3*g + 2*g + k, g = -2*w + 510. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1126*x**2 + 10*x + 10. Let p(m) = -m**2 - 2*m - 2. Determine 15*p(j) + 3*z(j).\nAnswer: 3363*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 2*n**5 + 2*n**5 + (0*n + n - 2*n)*(-2*n**4 + 2*n**4 + n**4) + (4*n - 4*n + 7*n**2)*(-3*n**3 + 5*n**3 - 888 + 756).\nAnswer: 16*n**5 - 924*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7253?\nAnswer: 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.196 and -235?\nAnswer: 249.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - k + 8. Let d = -7 - -20. Calculate the remainder when d is divided by g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/669 - 67565\/1338. What is the common denominator of r and 59\/1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 188. Let h(m) = m + 75. Give 5*c(x) - 12*h(x).\nAnswer: -2*x + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(39)\/(sqrt(3) + sqrt(12)\/sqrt(4))*-6 + -1 + -2 + -2 + sqrt(13) + (-3 + sqrt(13) - sqrt(13)) + 4).\nAnswer: -8*sqrt(13) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 4301*w**2 - 723*w + 3754. What is the first derivative of c(k) wrt k?\nAnswer: 8602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 907115.\nAnswer: -181423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 43872*j - 53. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a - 329660 + 1711070. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8949950 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -6. Let l be (-20)\/(-3)*m\/(-6). Suppose 7*z = 2*z + l. Solve -w = -z*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102858 and 76818.\nAnswer: 6068622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349035937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 124 + 640. What is the units digit of p + -2*(-3 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 974145.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -11*s**2 + 1 - 8 - 3 + s**3 + 3*s**2 + 9*s. Give x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2526 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7224 is divided by 573?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*m - 1083 - 91, -3*q + 694 = 4*m. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoe. What is prob of picking 1 e and 1 o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 20*s**2 - 4*s + 22. Is j(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8574 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70145.834 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0 - (2 + -4). Suppose 2*v - 14 = -2*y, p*v - 7 = -y + 5*v. Is 7 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7913 - 7913 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -788 - -791. What is the closest to -0.1 in -3, g, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of ((-40)\/8)\/(2\/(-354))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*s - s - 5*y, 4*s + 104 = 2*y. Let f = 18 - s. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**3 - 43*l**2 + 130*l + 855. Give t(-8).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 - 208 = -399*y + 427 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*(-59)\/(472\/48).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552 + 88. Does 64 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a - 4891 = -73773. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/360 - 5*w**4\/24 - 6*w**2. Let v(n) be the second derivative of r(n). Let x(l) = 9*l**2. What is x(v(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:10 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*z + 29 = 11, 0 = -3*j - 5*z + 3. Suppose -446*f + 447*f - 10 = 0. Let w = f + -15. Put w, j, -18 in ascending order.\nAnswer: -18, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 + 107. Suppose 143 = d - f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12213935 by -5.\nAnswer: 2442787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15333391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/5 + 1\/15. Let m = 40.2058 + -0.2058. What is the nearest to d in 0.2, 5, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {p: 5, b: 2, f: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 114906 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(-o + 3*o + 0*o)*(3*o - 7*o - 13*o).\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -13*v**3 - v**2 + v - 3. Let r(n) = 38*n**3 + 3*n**2 - 3*n + 8. Calculate -6*r(p) - 17*u(p).\nAnswer: -7*p**3 - p**2 + p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6915 - 4803. Is d a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + t + 0 + 11 = 0, 2*x + 18 = 2*t. Let c = x - -6. Let -8*n - 3*n**c + 6*n + 4*n**2 = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -89, -134, -181, -230?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 1\/4*t**4 + 22 - 2*t**2 + 4\/3*t**3 + 3*t. Give c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -26.27811033.\nAnswer: 26.47811033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -0.034, -0.2047?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 117 = 86. List the prime factors of x.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*w + 24*n - 20*n, -9*w = 3*n + 27. Suppose -5*m + 15 = 3*b - 7, 0 = -4*b + 3*m - 19. Let l = -2 + b. Sort 3, w, l in ascending order.\nAnswer: w, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 9. Let w(c) = c**2 + 4*c + 4. Let h(g) = -g**2 - 3*g - 3. Let n(q) = 4*h(q) + 3*w(q). Calculate s(n(z)).\nAnswer: -z**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 3:19 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.11847 + 1.11847. Sort 3, -690, m.\nAnswer: -690, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 9, 0, 12, -1 in decreasing order.\nAnswer: 12, 9, 8, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 1. Let g(p) = -23*p**3 + 38*p**3 - 3 - 17*p**3. Determine -6*f(r) - 2*g(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f = -f + 38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -6 (c) -14\/5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*g**2 + 2 - 18*g**2 + 11*g**2)*(6 - 7 + 5)*(4*g + 3*g - 6*g).\nAnswer: 284*g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 0*v - 35\/4*v**4 - 26 + 0*v**2 - 2\/3*v**3. Find the third derivative of l(i) wrt i.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -47*a + 186. Suppose -j - n + 20791319 = 0, -4*n = -4*j + n + 83165231. Suppose a*c = -j + 81691314. Round c to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 62263 + -4354?\nAnswer: 54606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101833679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (-5 + (2 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5 + 1127480*k**4 + 158901393798*k**3 - 1127480*k**2 - 158901393800*k = 0. What is k?\nAnswer: -281870, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-97)\/153648*-72*(-22)\/(-12).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026878735 rounded to six decimal places?\nAnswer: -0.002688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147))**2 + -3 + sqrt(27) - (((sqrt(3024) - sqrt(3024)*2 - sqrt(3024)) + sqrt(3024) - sqrt(3024))\/sqrt(7))**2.\nAnswer: -1584 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4014.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20222202121 (base 3) to base 4\nAnswer: -201212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5742.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-13\/3))\/p)\/(p*p*p*p\/p**21*p*p) assuming p is positive.\nAnswer: p**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8107.896 hours to milliseconds.\nAnswer: 29188425600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30 + -6285a?\nAnswer: -6282a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**5 + 18*j**4 - 4*j**3 - 13*j**2 + 9*j - 5. Let b = 5 + -6. Let q(c) = c**5 + c**2 - c - 1. Let o(h) = b*r(h) + 3*q(h). Factor o(i).\nAnswer: 2*(i - 1)**3*(i + 1)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 23*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2356 divide 1068393895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -14, 455, 5, 0.07, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3984 a factor of 130992716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21145730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 392 + -1959\/5. Determine h, given that 0 + k*h**2 + 0*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/9))\/g**16*(g\/(g*(g*g**(-23))\/g))**(-3\/20))**(17\/5) assuming g is positive.\nAnswer: g**(-55777\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132683, -132681, -132679?\nAnswer: -132677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 3\/8, -219, -0.01?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * 354.3207.\nAnswer: -21.259242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f + 2 = 0. Let j(p) = -p**2 - 9*p - 3. Let n be j(-8). Sort f, -2, n in decreasing order.\nAnswer: n, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*h - 7616, -k - 2910 = -2*h + 897. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 26*q - 22*q = 154, -19210*q = -4*m - 19266*q + 2276 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + j = -3*z + 11, 0 = 5*j - z - 11. Put j, -2, 1, 3, -3 in increasing order.\nAnswer: -3, -2, 1, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8397363*s**4 + 182*s - 424 wrt s.\nAnswer: -100768356*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15533107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313 + -317. Let y be (-4)\/((n - -4) + -4)*-102. Do -104 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 12 - (-1 + 13)) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3 + 3 - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxbbbbbbbx. What is prob of picking 2 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 12*d - 3*d + (-4*d + 4*d + 2*d)*(-5 + 4 - 1))*(-3*d + 4*d + 0*d) + 19*d**2 - 71 + 71.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 13*p. Let h be l(13). Put 3, h, -2, -3 in ascending order.\nAnswer: -3, -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11080747.\nAnswer: 11080747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519101*g**3 - 519022*g**3 + 1038120*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 609337 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 30355*-431 - -4*(-12)\/(-8). Round p to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**2 - 15940*q - 12704180 = 0.\nAnswer: -1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*b**3 - 1476*b**2 - 2432*b + 816.\nAnswer: -4*(b + 2)*(b + 51)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + o - 1 = 0, 5*o - 9 = 3*y - 4. Let l = 494107\/57 - 8668. Let g = l - 4\/19. Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5208 divided by 248\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-250)\/(-40) + 350075\/4180.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 5. Let y(c) = c**3 - 4*c**2 - 7*c + 6. Let z be y(5). Put 5, s, z in decreasing order.\nAnswer: 5, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170 + 164. Let c be 2\/(-4)*d*(-1 + 0). Let t(n) = -5*n - 3. What is t(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10693000 at most as big as -10692953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.2728, -0.04, 0.1?\nAnswer: 0.2728","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 = 26. Let h = 40 - l. What are the prime factors of 3\/2 + (1134\/h)\/3?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 2*q + 18 - 4, -15 = -5*c + 5*q. Let y = c - 2. Suppose -5*j - 25 = 0, y*j - j - 11 = -4*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 6}. What is prob of sequence oo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*(sqrt(343) + 0 - sqrt(343) - sqrt(343)))**2*6 - (1*sqrt(343) + 3 + sqrt(343) + sqrt(343)*1 + -4).\nAnswer: -21*sqrt(7) + 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 386, 553, 624, 599, 478, 261?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 14*a - 3. Let d(h) = -h**2 - 7*h + 4. Suppose 3*j + 4*w = -33, -2*j + 7*j + 2*w = -41. Let k be d(j). Is l(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8034977 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l*q*x - 250*l*q - 2*q*x - 73*q - 4*x wrt l.\nAnswer: 3*q*x - 250*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/4641)\/((-39)\/(-442))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975455265.\nAnswer: 3, 5, 79, 823169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(133) - -4*sqrt(133) - sqrt(133)) + sqrt(133)))\/(sqrt(7) - sqrt(42)\/(4*sqrt(6))).\nAnswer: 80*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153647 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 76, -4 in decreasing order.\nAnswer: 76, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3732.66 - 3734. Which is the second biggest value? (a) -15 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -3.779 (c) -2\/19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74017998 and 3816?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -14. Let i be u + -1*(-5 - -2). Find the second derivative of i*z - 4*z - 3*z**2 + 4*z**2 - 5*z**2 wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20)*-4)\/(((-220)\/11)\/(-620))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12767 (base 13) in base 12?\nAnswer: -1797b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(-4) - 757592\/(-32).\nAnswer: 3, 13, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42.1 - 26.4. Let v = r + -16.2. Put 113, 0.3, v, -1 in ascending order.\nAnswer: -1, v, 0.3, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, v: 3, r: 4, f: 1, a: 3, c: 2}. Give prob of sequence arc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17800223797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.3. What is the third smallest value in n, 0, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -4. Let q be (34\/102)\/(1\/6). Let z be (-1)\/(-2)*(5 - 1). Solve -q*x = 2*d - y, 3*x + 1 = z*d + 2*x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 2. Let o = 54 - b. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2529*k. Let y(z) = 2*z**2. Give y(m(q)).\nAnswer: 12791682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393\/(-2088)*16\/2*8\/8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/48)\/((-6)\/(-3518)). Let x be (-917)\/((-22)\/(-42)*4). Let z = x - k. Find the common denominator of -50\/3 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -0.9. Let u = -1809\/7 - -259. What is the closest to 1 in u, -1\/2, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/9 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -235 + 238. Let h(f) be the third derivative of 0*f + 0 - 1\/60*f**5 - 1\/24*f**4 + 1\/210*f**7 + 1\/120*f**6 + 0*f**u + 6*f**2. Factor h(c).\nAnswer: c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 11*d + 5. Let r(n) = 9*n**2 + 21*n + 10. Let a(g) = 7*m(g) - 4*r(g). Let j be a(-6). List the prime factors of (0 - j)\/((-2)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/9, -0.3, 106\/79 in increasing order.\nAnswer: -0.3, -2\/9, 0.2, 106\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*o - 381*o + 158*o in the form k*o + d and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/6 (b) 3\/7 (c) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/153952 and 107\/25760.\nAnswer: 123931360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18131?\nAnswer: 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279 - -285) + (4 + -7 - -26)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112032391005998\/52717 - -2125166284. Let o = t + -2\/3101. Let g = o - 111\/34. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.3. Let k = 11\/31 + -2\/93. Which is the closest to k? (a) w (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -3\/2*d**2 + 2*d + 0 + 1\/6*d**3. Differentiate p(f) with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 27*k**2 + 447*k - 10. Let u(o) = -35*o**2 - 595*o + 13. Let m(z) = -13*g(z) - 10*u(z). Factor m(v).\nAnswer: -v*(v - 139)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -15. Suppose d = -4*p - 3 + 15, -s*p + 16 = -2*d. Suppose -p*i + 5*r = -107, -4*r - 138 = -5*i - 2*r. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -3, 2 in descending order.\nAnswer: 2, -3, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1165262640?\nAnswer: -1165262644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/9*(0\/1)\/(-5). Solve 5*u + d - 26 = h, -5*u + 15*d - 11*d + 21 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3\/5 + 16*f**2 - 268*f\/5 + 192\/5 = 0.\nAnswer: 1, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-3\/7))\/(v**7\/v))\/(v**(1\/3)\/v)**(5\/4))**(1\/19) assuming v is positive.\nAnswer: v**(-151\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 14*l**2 - 15*l - 18. Let v = 175 + -162. Calculate h(v).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Let n = 54023691\/664615 - -2\/94945. Let k = 81 - n. Which is the biggest value? (a) 3 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 5. Let z be p(13). Let h = -25 - z. Let w(r) = 2*r**2 - 11*r - 9. Let m be w(h). Which is the third smallest value? (a) 0.3 (b) 2\/17 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 8:19 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124\/35 - 17\/5. Let k = 3 + -2.6. Sort x, -4, k in ascending order.\nAnswer: -4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2516745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6*-0.109\nAnswer: -0.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 104560776.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 - 5*c**2 - 3*c**3 + (2*c + 2*c + 0*c)*(c - 2*c**2 - c) + 0*c**3 + 5*c**3 - 4*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151519.\nAnswer: 1151519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187400 divided by -40.\nAnswer: 4685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -881 - -1721. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -1)*(-13265)\/1516. Solve 22*q + 4*s = 19*q - 35, 2*s + j = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(576) + sqrt(576)*-3 - sqrt(576) - sqrt(4)).\nAnswer: -sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 18861 - 18895 + 6*p**2.\nAnswer: 14*p**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -90, -271, -680, -1431, -2638, -4415?\n\"Answer: -19*c**3 - 48*c - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1904, 1836, 1610, 1148, 372, -796, -2434?\nAnswer: -4620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a millennium in months?\nAnswer: 34000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x + 16. Let c = 207 + -237. Let o = x - c. What is the lowest common multiple of o and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {g: 5, i: 3, f: 3, w: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104061183 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -u, 4*t - 2 = 2*u + 3*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49969, 101468, 152967?\nAnswer: 204466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-24) - 10\/(-4). Suppose -2*o - 2*t + 69 = t, t = r. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*j = -28, 2*l + 3*l + 3*j - 32 = 0. Suppose -l*d = -d. Suppose -2*q + 54000 = -d*q. Round q to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*n, 5*u + 5*n - 14473 + 2403 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -83*k + 638. What is the thousands digit of u(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1491, 743, -439, -2001, -3889, -6049?\n\"Answer: 9*l**3 - 271*l**2 + 2*l + 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77852*c**2*y - 5*c*y - 4032*y - 39 wrt c?\nAnswer: 155704*c*y - 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7413439*u**2 - 7413412*u**2 + 419*u - 419*u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10032243 (base 5) in base 2?\nAnswer: -10011100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 2*p + 3. Let d(u) = -56*u**2 + 48*u - 72. Let c(a) = 5*d(a) + 120*g(a). Let j(z) be the second derivative of -z**4\/4 + z. Calculate c(j(v)).\nAnswer: 720*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from xyyyyyxyyyxyfyy?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:56 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from {x: 15, l: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/25)\/(33\/(-1485)*3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, 37\/5, -0.17 in increasing order.\nAnswer: -0.17, 0.2, 3, 37\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12973500 a multiple of 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 4*-2)*444. Let u = 29288 + d. Is 1\/5 + u\/55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206\/21 + 10. Put 1\/12, n, 1 in decreasing order.\nAnswer: 1, n, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*(-21 + -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230805*v**3 + 679954*v.\nAnswer: -1384830*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/10)\/(6\/75). Let j = 32 - q. Solve -2*a + 12 = j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*d**3 - 53*d**2 - 50137 wrt d?\nAnswer: 45*d**2 - 106*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5498.\nAnswer: 2, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -123310?\nAnswer: 123304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:42 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 577 - 665 = -4*h, -2*c - h + 44 = 0. Solve 0 = -c*x - 125 - 7 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/9 (b) -1\/5 (c) -2\/11 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.7 in -1\/7, -15, -3\/32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 - 81. What is the nearest to -0.5 in -0.4, k, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 296786 and 2550.\nAnswer: 756804300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 16*x**2 - 41*x + 1. Let j be n(-18). Suppose -o = -5*y - j + 469, 2*y - 4*o = 162. Does 35 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 5*i + 0*i = 0, 23 = -3*k + 4*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*sqrt(119))\/sqrt(7)*-3 + (sqrt(833)*-6)**2 + (sqrt(17) - 3*(sqrt(17)*2)**2).\nAnswer: 19*sqrt(17) + 29784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*l - 4*l - 10*l)*(3 + 1 - 3)*(-l**3 + l**3 - 2*l**3).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*l - 2*q + 46, 1 = -l + 2*q. Let m = l - 7. Suppose u + 6 = 2*v - m*u, 2*v + 5*u - 6 = 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -35\/19, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29989 is divided by 977.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.21? (a) 0.2 (b) 10 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 79. Let i = q + -40. Which is bigger: i or -4\/15?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**12)**(-2\/5)*w*w**(-12)*w**(-4\/11))**(2\/55) assuming w is positive.\nAnswer: w**(-1778\/3025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q*x**3 - 37*q*x**2 - 2*q*x + 2575*q - 42*x**3 - 4*x**2 - x + 5 wrt x?\nAnswer: 36*q*x - 74*q - 252*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 43. Let v(c) = 2365*c + 2. Determine m(v(n)).\nAnswer: -9460*n + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -5 + 0*x**3 + 1\/120*x**6 + 4*x + 1\/48*x**4 + 0*x**2 - 1\/40*x**5. Let t(j) be the first derivative of h(j). Factor t(b).\nAnswer: b**2*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344 + -330. What is the derivative of -l*h + 129 + 20*h - 32 + 16*h wrt h?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76691.\nAnswer: 53, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z + 3. Let c be n(-5). Suppose -2*l - 38 = -c*l. Suppose -1 - l = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000381671 to seven decimal places.\nAnswer: -0.0000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) 3\/4 (c) 0.010895\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 10*i - 9. Let g be n(11). Suppose 0 = 6*b - g*b - 4. Let z(x) = x**3 + x**2. Let u(d) = 4*d**3 + 2*d**2. What is b*u(o) - 2*z(o)?\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1270152 and 3662152?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000838859 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 2. Let j(u) = -20*u + 6. Let w(l) = -11*l + 2. Let s(b) = -3*j(b) + 5*w(b). Let k(g) = 4*d(g) + s(g). Let x(r) = 112*r**2. What is x(k(n))?\nAnswer: 112*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 57?\nAnswer: -10\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13924?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 - (7 + 980\/(-150))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(3*y**5 + y**5 - y**5) + 17053*y**2 - 17053*y**2 + 4*y + 26*y**5.\nAnswer: 29*y**5 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - -0.38. Let s = -943 - -942.5. Let b be 0 + (7\/5 - 1). What is the second biggest value in z, b, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6049 is divided by 107.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 227, 223, 217?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, m: 9}. Give prob of sequence mbmb.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 6 (c) 1\/2 (d) 1.2 (e) -1\/333 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -t = -2 + 5, -5 = r*a + 3*t. Let j(l) = l**2 + 3*l - 5. Let v be j(-5). Solve -s = -v*d + s - 2, s = -a*d + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 44943*z + 44940*z + 1 - 2.\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 + 2*t**2 - 2*t - 1. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92754.49l in millilitres?\nAnswer: 92754490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/20 + -6 - -3. Which is the closest to 0.1? (a) -0.03 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*w = 4*r - 279, 5*r - 4*w - 463 = 0. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 30 (c) -14\/3 (d) 512\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42709122409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55788 (base 9) to base 8.\nAnswer: -110351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-26)*l)\/(l*l**15) assuming l is positive.\nAnswer: l**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 2*q**2 + 8*q - 8.\nAnswer: -2*(q - 2)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + b**3 - b**3 + (-1 + b**3 + 1)*(b - b - 2*b) + 2*b**4 - 16*b**4 - 5*b**4 in the form w + a*b**4 + k*b + p*b**2 + u*b**3 and give a.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1470640\/40920 - 2\/(-33).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 370. Let k(z) = -18*z + 1475. Give -22*f(t) - 6*k(t).\nAnswer: -2*t - 710","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:42 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -163 - -334. What is the remainder when t is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/5))\/n)**43\/(n*n**(1\/2)*n)**41 assuming n is positive.\nAnswer: n**(-853\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 10:07 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 288103706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*l = 226*l + 22170 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*l + 14 = 0, -7*l - 2 = 5*b - 3*l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13896?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2829021 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 26, -5, 0.4 in decreasing order.\nAnswer: 26, 5\/4, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-44) + (-4)\/22. Let h(y) be the second derivative of 1\/60*y**4 + 0*y**3 + 1\/25*y**5 + 0 + r*y**2 + 4*y. Determine t so that h(t) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*u - 2)*(-834 + 1456 - 763 - 15*u).\nAnswer: -30*u**2 - 282*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1+-191927.9\nAnswer: -191928.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1068, 86\/9, -286 in descending order.\nAnswer: 86\/9, -286, -1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/10 + (-1)\/((-5)\/384). Suppose 10*c = 17*c - f. Which is smaller: c or 16?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = 3. Let s be (8*(-2)\/w)\/1. Suppose -c + 2*v = -20, -4*c = -3*c - s*v - 28. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2\/3 - 199108\/195279\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 3*x**2\/2 - 35*x - 29. Let i be d(12). Let m(y) = 85*y + 1. What are the prime factors of m(i)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205.96968 months to decades.\nAnswer: 1.716414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + -5)*-2)**2*-3 + -2*sqrt(175) + -2 + 0.\nAnswer: -386 + 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 6, -12, -48, -108?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 216 divided by 558239\nAnswer: 216\/558239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62721 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 - 4\/2. Suppose -27 = -5*x - 7. Let s = x - r. Calculate the lowest common multiple of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-60) + (-32)\/64)*2\/3.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 14*w - 29158 - 31802 = 0. Calculate the greatest common factor of 15 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.37 - 2892597677979\nAnswer: -2892597677979.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 232 - 218 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - s + 4*s = -21, 0 = -4*y + 2*s + 124. Suppose 2*i + v - 21 = 2, -y = -3*i - v. What is the remainder when (-60)\/(-35)*(-42)\/(-4) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 320 - 27?\nAnswer: 2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/(-39))\/((-2)\/6). Suppose -j + z - 172 = -0*z, -3*j - q*z - 492 = 0. Let d = j - -342. What are the prime factors of d?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757 is divided by 204?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*z**3 + 170 - 168 + 569*z**3 - 1164*z**3.\nAnswer: z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000336171 to seven dps.\nAnswer: 0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 433, 1729, 3891, 6925, 10837, 15633, 21319, 27901?\n\"Answer: v**3 + 427*v**2 + 8*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/6 - 15*r\/2 + 23\/3.\nAnswer: -(r - 1)*(r + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 12*z - 10*z to the form r + t*z and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 338601.4 weeks in days?\nAnswer: 2370209.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 117, 423, 1007, 1959, 3369?\nAnswer: 5327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipppxxfprpipxf. What is prob of sequence xpix?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128006 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 76*j**2 - 4566. Calculate g(0).\nAnswer: -4566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.4. Let k = 82 - 176. Let f = k + 94. What is the second biggest value in f, n, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97425 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*k - 10. Suppose -k*z - 45 = -3*c + 7, -z = 3*c - 55. Calculate the lowest common multiple of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 169 = 44 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46.7705 * -4.\nAnswer: 187.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366 divided by 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -2*l**5\/5 - 65*l**4\/4 + l**2\/2 + 579*l. Find the third derivative of b(j) wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 148585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -13*q**2 - 40*q + 1 + 5\/6*q**3. Calculate g(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by 85?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3142 - 972 = -159*x - 1252 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((1 - 5)\/(6\/9)). Let x = 1.1 - 0.1. Which is the closest to x? (a) -1 (b) -0.12 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**0*h\/(h*h**(-12\/7)) assuming h is positive.\nAnswer: h**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/45 - 142*d**2\/5 + 30246*d\/5 + 841. Factor z(k).\nAnswer: 2*(k - 213)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 196. Suppose 2*a - o = 649, 0 = 5*a + 20*o - w*o - 1619. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrkrkkkt. Give prob of sequence kt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = m + 3*m. Suppose 4*z - 2*z = k - m, -k + 66 = -3*z. Let j = k + -35. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244.24*0.07.\nAnswer: 17.0968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 3. Let i(p) = 4*p. What is i(a(d))?\nAnswer: 8*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*q**3 + 3)*(3 - 16 - 3) + (24*q**2 - 9*q**2 + 10*q**2)*(3*q - 1 + 1) as p*q**3 + m*q + g*q**2 + u and give p.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -367*c**4 + 8*c**3 - 2*c**2 - 4577*c - 4 wrt c.\nAnswer: -4404*c**2 + 48*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 83 = 173 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 14840800 to the nearest ten thousand.\nAnswer: 14840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -12805.3744 to 1 dp.\nAnswer: -12805.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.0094 times 2269.1\nAnswer: -21.32954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 4, 0.1, -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52075732 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 1\/5*m**5 - 1\/24*m**4 + 2*m**2 + 0 + 1\/3*m**3 + 0*m. Let b be g(2). Calculate the highest common divisor of b and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {w: 1, n: 2, q: 1, u: 4, b: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-4) + -14 + (-2410)\/(-152).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -248 + 280. What is the greatest common divisor of j and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -182, -392, -684, -1058, -1514?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 5*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 219868*q**4*s**2 + 26*q**3 + 13*q**2*s**2 - q**2 + 3143*q*s - 6*s wrt q?\nAnswer: 5276832*q*s**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = 1334 - 584014. List the prime factors of f.\nAnswer: 7, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*t**3 + 127*t + 370641 wrt t.\nAnswer: -159*t**2 + 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2984136 + -908089. Let c = l + -3214698. Let m = -685651 - c. What is m rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 - 2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 532 and 49362.\nAnswer: 691068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 1, x: 2, q: 2, v: 1}. What is prob of sequence xqd?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13558776 divided by 147378?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 263.2462 + -263. Round l to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 9739095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soptootqtttppqt. Give prob of picking 1 o and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*q**3 - 4 + 2 - 16*q**3)*(-474 - 44 + 167).\nAnswer: -702*q**3 + 702","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + i - 4, 31 = 4*v - i. Let r be (8\/6)\/((-24)\/(-36)). Suppose r - 3 = -s - 3*w, -5 = -s + w. What is the remainder when v is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {n: 3, f: 8, a: 5, g: 2, p: 1}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 220160?\nAnswer: 4623360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*g - 2130 + 2181 = 0, 2*i + 43 = 2*g - g - 6*g for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1163.54382 to zero dps.\nAnswer: -1164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + b = -801, -183 = 90*t - 91*t + 4*b. What is the least common multiple of 4081 and t?\nAnswer: 12243","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*sqrt(9)\/sqrt(3)*-5 + 4.\nAnswer: 6 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1684877383 minus -0.35?\nAnswer: -1684877382.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3614*i - 84. Let j(l) = -1629912*l - 37863. Give 4*j(r) - 1803*p(r).\nAnswer: -3606*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -180, -220, -260, -300?\n\"Answer: -40*v - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41340546 and 369.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199703 is divided by 15347?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -35\/3*b**2 + 12 - 58*b + 17\/2*b**3 - 5\/6*b**4 = 0. What is b?\nAnswer: -2, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 1892, -16, -2, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -58*j + 6. Let o be f(-3). Suppose 3*u - o = -5*v + 2*u, 2*v = -2*u + 64. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 4*h - 10. Let u be y(-6). Suppose -70 = -u*j + 80. Let p = j - 8. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233 + 234. Is k <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**2 + 3362*w + 10080. Give v(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-10)\/i))**(1\/61))**34 assuming i is positive.\nAnswer: i**(408\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 7:43 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(133) - (1*sqrt(133)*-1 + sqrt(133)) - (sqrt(133)*2 + sqrt(133))*5)\/(-5*sqrt(21)\/sqrt(3)*-2).\nAnswer: 28*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*k + 39 = -0*k, 29 = t + 4*k. Solve 6*y - 3*y = 3*n - 21, 0 = -4*y + t*n - 31 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70*u**3 + 19*u - 258*u**2 + 258*u**2 wrt u?\nAnswer: 420*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5987, -5979, -5983, -5993, -6003, -6007, -5999, -5973?\nAnswer: -5923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 2 + 0*x**4 + 17\/6*x**6 + 11*x - 11\/2*x**3 + 0*x**5 + x**2. What is the second derivative of v(h) wrt h?\nAnswer: 1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4438*g**2 + 1124*g**2 + 1084*g**2 + 1112*g**2 + 1140*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315739554 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 2. Suppose z + 13 = 15. Suppose -u + s = z, 2*s - 10 = -3*u + s. Give r(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -145, -338, -551, -784?\n\"Answer: -10*p**2 - 163*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - u + 0 + (-u + u - 2*u)*(5 - 1 - 2) - 3 - u + 3 + 1 - 1 + u)*(-63*u + 4*u + 51*u)*(0 + 0 + 3) to the form p*u**2 + t*u + o and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*r - 355, 1 + 3 = 4*r. Suppose 0 = 4*n + 4*l - h, -3*n + n = l - 33. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + b - 4 = -b, -q - 5*b + 18 = 0. Let n be -4 + 0 - (q - 0). Let c be 4\/6*6\/n. Is -1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlvlllnlhhlhllhh. What is prob of sequence lhl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 42 = -3*p, t - 3 = -2*p + 4. Let v = 3177 - 3117. Calculate the greatest common divisor of t and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -143 (b) -0.3 (c) 1 (d) -2\/3 (e) 97 (f) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -45. Let z = v - 40.5. Let n = -137\/894 + -2\/149. Sort n, z, -1.\nAnswer: -1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 1507, 3396, 6049, 9466, 13647?\nAnswer: 18592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 0*z)*(5*z**3 + 2 - 2 - 102*z + 8*z**3 + 102*z + (10 - 10 - 15*z)*(-5*z**2 + 4*z**2 + 3*z**2)) + 0*z**2 + 0*z**2 - z**4.\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186332135*g + 0*g**2 + 4*g**2 - 186332117*g - 6*g**2.\nAnswer: -2*g**2 + 18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4801 + 82432. Is (-9)\/(-18) - (2 - a\/6) 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 7:37 AM and 4:11 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -4, 14, 46, 92?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 7:41 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/10*l**6 + 0*l**3 - 1\/42*l**7 + 2*l**2 - 3*l + 1\/20*l**5 - 7\/12*l**4 + 0. Factor k(h).\nAnswer: -(h - 2)**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978789?\nAnswer: 229, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**7\/2520 - 115*p**4\/24 + 120*p**2. Let j(x) be the second derivative of c(x). Let l(a) = -74*a**2. What is l(j(v))?\nAnswer: -74*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 571 in ascending order.\nAnswer: -4, -3, 571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -153.8 + 151.8. Let g be (-72)\/(-130) + (-2)\/5. What is the biggest value in 5, g, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*q**3 + 1136*q**2 - 3*q - 14773.\nAnswer: -12*q**2 + 2272*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - 598\/(-69). Let s be 2 - (0 - 1) - 0. Let f be s\/p + (-7)\/3. Which is greater: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = -w. Let m(p) = 3*p**2 - 8*p + 11. Is m(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 2757020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.9 + 177. What is the third smallest value in j, -0.02, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120.738 - -77.67. Let f = y + 43. Let n = f + -23.532. Round n to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 39 = -o + 2*r, 4*r + 164 - 159 = -r for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 + 0*a**3 + 0*a**3)*(-7 + 3 - 4) - 2*a**3 + 6*a**3 - 3*a**3 in the form n*a**3 + r*a**2 + v*a + j and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 2\/15, 10\/17 in decreasing order.\nAnswer: 0.7, 10\/17, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77308.4 hours to minutes.\nAnswer: 4638504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.2. Suppose -k + 5*k - 12 = 0. Let m = -7 + k. What is the closest to r in -3, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 1422*b - 4*b**2 - 1455*b)*(-1 - 3 + 3)*(-4 + 4 - b).\nAnswer: -4*b**3 - 33*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 5598 + 22692 = 0. Calculate the least common multiple of 74 and z.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznjjwncicwncncjnn. Give prob of picking 1 c and 1 j.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 18*u + 0.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3)*15\/(-2))\/(-1). Let y be (-13)\/q - (-8)\/20. Suppose 4*u - 1323 = -5*s - 475, -y*s + 508 = 2*u. What is the greatest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2. Let w(n) = n**2 + 3*n + 3. Let p(z) = 3*z**2 + 8*z + 8. Let f(a) = 3*p(a) - 8*w(a). Calculate f(r(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -40*4*(-3)\/30. Suppose -2*d + 14 = 3*c - s, 0 = -5*c - 3*d + 50. Calculate the smallest common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -158 + 184 + -85?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**2)\/t)\/t)**(-29)*(t*(t**(1\/4)\/t)\/t)\/(t\/(t*t\/(t\/(t*t*t\/(t*t**(-1\/10)*t*t))))*t))**(8\/13) assuming t is positive.\nAnswer: t**(-1226\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(60)*3*-3)\/((sqrt(360)\/sqrt(6))\/sqrt(5)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 3. Let j be z(-3). Suppose -x - j = -3*d, 2*d - 4*x = -d + 33. Let r = -4 + 15. Calculate the greatest common factor of d and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*((-748)\/(-154))\/34?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0*y - 4*x = -12, -3*x + 9 = 0. Let n(g) = -g**2 - 3*g + 6. Let v be n(4). Let j = y - v. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3529, 3530, 3531?\n\"Answer: r + 3528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayayayyyy. What is prob of sequence yya?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 2, 7, -1, 3 in descending order.\nAnswer: 7, 4, 3, 2, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*5\/(-180)*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/5 - 1\/5*l**4 - 23\/5*l + 7\/5*l**3 + 3\/5*l**2.\nAnswer: -(l - 7)*(l - 1)**2*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 4:08 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/428 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 46413099 - -3.062\nAnswer: 46413102.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421 + 223*s - 422 - 207*s + 244*s**3.\nAnswer: 244*s**3 + 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1276362, -1276365, -1276368, -1276371, -1276374?\nAnswer: -1276377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187177178, 187177176, 187177174, 187177172, 187177170, 187177168?\nAnswer: 187177166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (162 - -40) + -135 - -5?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -28. Let n be ((-3)\/2)\/(20\/b - 1). Suppose 4*a = 5*o + 636, -n*a + 0*a = 3*o - 668. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toppppppp. Give prob of picking 1 t and 3 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4806, -4192, -2532, 696, 6014, 13944, 25008?\nAnswer: 39728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -192?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*n + 111*n + 113*n + 106*n - 544*n + 109*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 6 + -4 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*k**2 - k + 0 - k**3 + k**4 + 2*k - 3*k to g*k**2 + w*k**3 + i + h*k**4 + r*k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 5*p - 12.\nAnswer: -(p - 6)*(p - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/5)\/((-19)\/95).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30954061 to the power of 1\/2, to the nearest integer?\nAnswer: 5564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*2913624\nAnswer: -1456812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 1512 = -5*l + 172, -5*a = -4*l + 1349. Suppose -725 = -146*y + 151*y. Let r = y + l. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202 (base 10) in base 3?\nAnswer: 10000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/8))**(1\/4) assuming t is positive.\nAnswer: t**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/18*(-10)\/185. Let h = d + -947\/8658. Let s = h + 8\/13. What is the biggest value in s, 0.4, -2\/25?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.510436159 rounded to 4 dps?\nAnswer: -1.5104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**2 + 76*i - 228. Let d be j(6). Calculate the greatest common divisor of d and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 41*s + 10. Let d be t(-6). Let a = -56 - d. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 20. Solve 5 - s = -7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjs when three letters picked without replacement from {k: 1, s: 6, f: 4, x: 3, a: 1, j: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 bigger than -173032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26440 and 2970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = k - 3*k. Suppose -j - 5 = -5*r - 4*j, k*r - 5 = -4*j. Let w be ((-2)\/(-6) + (25 - 26))*-3. Solve p = w - r for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - l**2 - 98*l - 235 + 986 + 492 - 55.\nAnswer: 2*(l - 27)*(l - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*j**2 + 164*j**3 - 33*j**2 + 80*j**2 + 55*j**2 wrt j.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11464*l - 36. Let i(o) = 3821*o + 13. Give 14*i(w) + 5*m(w).\nAnswer: -3826*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 12*u - 2*u)*(4*u**4 - u**4 - u**4).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let x(y) = -971*y**2 - 6*y + 173. What is x(b(t))?\nAnswer: -971*t**2 - 6*t + 173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/18)\/(2\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 94. Give z(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-8 - -4) - (-2 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = x. Suppose -s - 5 = x. What is the least common multiple of (3\/(-6))\/(1\/s) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -193? (a) 1 (b) -1\/2 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -85, -80, -87, -112, -161, -240?\nAnswer: -355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 12*q + 5. Let y be g(6). Suppose y*u = 7*u + 10. Let w = -9 - u. Which is greater: w or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2005 and 32?\nAnswer: -64160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 9*d + 27. Determine g(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -798984 = -2*h - 0*h. Suppose -3*q = -6*q - h. Let p = 223164 + q. What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/9*((-15)\/(-10) - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -160\/3*j**3 + 4*j**4 + 27 + 0*j - j**2 - 1\/30*j**6 + 1\/5*j**5. Solve p(a) = 0 for a.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330.3783g to nanograms.\nAnswer: 330378300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52141*n*r**4 + n*r + 59*n + 440*r**4 - 4317*r + 3 wrt r?\nAnswer: 625692*n*r**2 + 5280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 6 + 4 + 53\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190422 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 2*k**2 - 1. Let g be u(-2). Let y be (3\/48)\/((-1)\/(-6)). Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y**2 - 3*y - 33. Is g(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9143546 less than -8?\nAnswer: -9143554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 1 - 30) + -17.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2 - w - 4. Let v = 103 - 107. Let n(u) = -5*u**2 - u - 3. Give v*n(t) + 3*y(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1422970 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 14*b - 4. Give s(-6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = 17440*s - 17388*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-28 - -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - -4*sqrt(130)) + sqrt(130) + sqrt(130) + sqrt(130))*-5)\/sqrt(10).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/14212 and -17\/220.\nAnswer: 71060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n. Suppose 0*x - 2*x = n. Suppose -4*a = 4 - x. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 11}. Give prob of sequence vvll.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 1:20 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 - 10*r - 7. Let x be k(-3). Suppose 10 = -x*f + 4*u, 3*f - 27 = 2*f - 5*u. Is -2 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 13*n + n to f + u*n and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*3*1*sqrt(19) + sqrt(209)\/(sqrt(11) - ((-1*sqrt(176) + sqrt(176) - sqrt(11)) + sqrt(11) - sqrt(11))))**2.\nAnswer: -54777\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 2\/5*h**5 + 0 - 5\/6*h**4 - 14*h**2 + 0*h + 0*h**3 - 1\/30*h**6. Factor s(q).\nAnswer: -4*q*(q - 5)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -7*h - 138. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -0.72?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -31, -33, -15, 29, 105, 219?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 5)\/(-1) + -3. Suppose 2*l + 2*p = 8, -3*l = p - 8 - k. Suppose 4*j = -20, l*j - j = 4*h - 321. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, v: 1}. What is prob of sequence vr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3\/7 + 129*z**2\/7 + 380*z\/7 + 36 = 0.\nAnswer: -126, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69016, 69139, 69262, 69385?\n\"Answer: 123*r + 68893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*v**2 - 1072*v**4 - 5 + 0*v**3 - 2*v**3 + 1070*v**4 to c*v**3 + i + q*v**4 + g*v + r*v**2 and give r.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*y - 8*y - 33. Suppose -5*c + 26 = -2*v + y, 18 = -2*v + 4*c. Let u(q) = q + 1. What is the lowest common multiple of u(4) and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7 - 1. Suppose 3*h**3 + 3*h**2 + 9*h - u + 0*h - 21*h**2 + 9*h**2 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 9. Let v be i(-13). Which is the nearest to -1? (a) v (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1681601*o**5 + o**4 + 22*o**3 - 30*o**2 + 2*o - 46054 wrt o?\nAnswer: 100896060*o**2 + 24*o + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*d - 35 + 92 - 38 - 19.\nAnswer: -568*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 17654222 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(34)\/(-1*sqrt(2)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 6*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -563 + 1021. Let s = 562 - v. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -105 and 1488.287332.\nAnswer: 1383.287332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 357 - 273 = 0. Suppose h = v - 43. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 3*v**3 - 2*v**3 + v**4 - 3*v**2 - 3*v - 10*v**2 - 14*v**2 as t + y*v + b*v**2 + c*v**4 + g*v**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 6*v + 1. Let j be -3 - -1 - (-2)\/((-8)\/(-108)). Let s = 20 - j. Give c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 8*y**2 + 2*y**2 - 3*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Let m(o) = -584*o + 180*o - 1 - 1 - 578*o + 46*o. Calculate v(m(g)).\nAnswer: -876096*g**2 - 3744*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/3869, -1\/4, 250\/9 in increasing order.\nAnswer: -1\/4, -6\/3869, 250\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27011, -26888, -26675, -26366, -25955, -25436, -24803?\n\"Answer: z**3 + 39*z**2 - z - 27050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72002950 rounded to the nearest ten thousand?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3601589.\nAnswer: 3601589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18041 times -195\nAnswer: -3517995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from fttff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 162?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9152 + -1333. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -519 times 1.3?\nAnswer: -674.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -27.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbau when four letters picked without replacement from {u: 1, a: 1, j: 4, b: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y - 2*n - 60 = 0, n - 75 = 5*y. Let o be 6\/y + (-11)\/14*2. Let k(w) = 8*w**2 - w + 3. What are the prime factors of k(o)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1298 and 85954?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -23. Let q(x) = 2*x - 9. Let v be q(k). Let b = 9 - v. Solve h - 3 = b*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001612 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 31 = 6*w - 3*w, -63 = 5*w + h. Is 33 a factor of (-4)\/(-26) + -5 + (-921)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110111110 (base 2) to base 11.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493711 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -89*l**2 + 12*l + 12. Let p(h) = -30 - 37 - 134*h**2 + 120 + 18*h - 36. Let q(n) = 7*b(n) - 5*p(n). Find the second derivative of q(x) wrt x.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4854 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 718 - 718 + 8*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y + 9. Suppose -2*n = -18 + 10. Is 24 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.95 and -35287380693?\nAnswer: 35287380692.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4683.\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13205019 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 6 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/7 + (-2997)\/(-63). Let d = t - 46. Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*g**3*y**3 + 3*g**3*y**2 - 22*g**2*y**2 - 455*g*y**3 - 11*g*y**2 - 5 wrt y.\nAnswer: -870*g**3 - 2730*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3064352508 to the power of 1\/2, to the nearest integer?\nAnswer: 55357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgff when four letters picked without replacement from {g: 5, f: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + ((-45)\/(-9) - -29). Let l be 19\/7 + 8\/r. Solve 4*j + 8 = 4*q, 3 = -6*j + 2*j + l*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27 and -73?\nAnswer: -19.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 2. Which is the second smallest value? (a) j (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/5)\/p)\/p)**(3\/2)*(p*p**(-7)*p)\/((p*p**(1\/3)*p*p)\/p) assuming p is positive.\nAnswer: p**(-337\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 - 226*l**2 + 455*l - 228 = 0.\nAnswer: -228, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g*h**2*m**2 + 1687*g*h**2 + 2*g*h*m**2 - 3*g*h*m + h**3*m - 195*h*m**2 + 63*m**2 wrt h.\nAnswer: -16*g*m**2 + 3374*g + 6*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/2 + 4*o**3\/3 - 3*o**2\/2 - 2*o. Is m(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475289135 divided by -95057827.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*f + 2\/3*f**3 - 2\/3*f**2 + 2\/3*f**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (422 + 4)*(-1 - (-28)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 367*d**2 - 37*d - 3. Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -89*s**2 + 30*s - 61. Let i be j(2). Let v = i - -363. Suppose 3*c = -5*x + 101, -3*c - 6 = -c. What is the remainder when x is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**10\/840 - i**6\/45 + 2*i**3 - 17*i. Let o(d) be the second derivative of z(d). Find the third derivative of o(f) wrt f.\nAnswer: 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3331595 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 43. Suppose 0 = w*g - 5*g. Let c(o) = 100 - 2*o + g*o - 100. Let u(v) = -v**2 + 29*v. Calculate c(u(t)).\nAnswer: 2*t**2 - 58*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 0 + 0*a**5 + 0*a**2 + 2*a + 1\/12*a**4 + 0*a**7 + 1\/14*a**8 + 0*a**6 + 0*a**3. What is the third derivative of q(x) wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 53. Let y(k) = -k**3 - k**2 - 4*k - 24. Let c(v) = 3*v**3 + 3*v**2 + 11*v + 73. Let q(b) = 3*c(b) + 8*y(b). What is the units digit of q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*j + 5*f, -2 = -3*j - 5*f - 0. Suppose -j*s + 15 = s. Let q(g) = -g**2 + 14*g. Let v be q(12). What is the greatest common divisor of s and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 19 + 53. Suppose 2*f - 842 = -2*k + k, -5*k + 1270 = 3*f. Let c = f - 366. What is the greatest common divisor of c and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 460515626?\nAnswer: 460515630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - -64. Let h = o + -129. Is -27 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = -3*l, -4*q + 3*l + 0*l = 4. Suppose 2*p = q*d - 43 - 23, -4*d = -p - 138. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 86208784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*j + 188, 0 = -4*c + 3*j - 21 - 171. Let q be 72 + 9\/3 + -1. Let h = c + q. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105 - -4217?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4478 + 5732?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(275)*1)**2 + 0 + sqrt(44)).\nAnswer: 10*sqrt(11) + 1375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35234656 and 1184?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 6 + 204 + -190.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19380 - -16709?\nAnswer: 36089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234397?\nAnswer: 41, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8310 + -8295. Let n(g) = -5*g + 81. Give n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 4*w**3 - w + w + 4*w**2.\nAnswer: 4*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1)*1 - sqrt(13)*-1*5.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 1 = -11. Suppose -4*l - 8*a + 33 = -3*a, -l = -5*a + 23. Let h be 43 - l\/r*2. What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213101 (base 4) to base 2.\nAnswer: -100111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/787 - 437\/1582657. Let r = -8249675\/552 + 82892752861\/5550360. Let l = r + k. Find the common denominator of 25\/12 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g + 2956*g**2 + 6 - 3 - 2955*g**2. Determine k(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5479825 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*p + 1. Let z(g) = -g - g - p*g - 9. Does 31 divide z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 20*v**2 - 26*v - 41. Let k be j(18). Let q = k + 1627. What are the prime factors of q?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571 + 410. Let x = z - -154.24. What is x rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {a: 4, k: 1, d: 5, n: 5}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a. Let u(j) be the second derivative of -j**3 - 38*j**2 - 22*j. Let f be u(-14). Let x(b) = -f*b + 15*b - 5*b. Give x(q(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Suppose 0*k = -n*k. Sort -4, k, 2.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-30))\/((-1)\/(2\/2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/8)\/((-7)\/(-7)). Sort 2, y, 4.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38117.6 - -5.7?\nAnswer: 38123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpibiiiiihihiipikhhh. Give prob of sequence hppb.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3 = s. Suppose s*c + 3*c = 30. Let v(y) = -2*y + y - 2*y + 2*y - c. Calculate v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (-3)\/4)\/(42 - 43).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 168*t + 3936 = -37 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*c + 40 = 0, -5*c - 14 = -2*l + 31. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*t = -5*t + 7, 2*t - 16 = 4*v. Let r be 2\/5 - (-47)\/v. Let w = -2 - r. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 7, s: 1, u: 1, g: 3}. Give prob of picking 1 k and 1 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpe when three letters picked without replacement from depjjtttdjttteeepm?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - 33*h - 7. Let i be f(8). Let z be 4\/6 + (-5)\/i. Solve 2*a = -z - 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x, -5*x + 42261304 - 5721304 = -3*r. Round r to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(8\/5)\/c**(-13)*c**(-13)\/c*c*c*c**(-8)*c assuming c is positive.\nAnswer: c**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, y: 2, l: 1, f: 2}. Give prob of picking 1 y, 1 z, and 1 l.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1\/12567446?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(7) + 0 + -4 + sqrt(14)\/sqrt(2) - 2*sqrt(567)*-2)**2.\nAnswer: -2280*sqrt(7) + 60798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 9\/(144\/(-64)). Put 4\/7, 4\/75, -0.4, a in decreasing order.\nAnswer: a, 4\/7, 4\/75, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.24 - 0.24. Let n = 17 - s. Which is the closest to 1? (a) 6\/5 (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -h, 0 = 5*h + 45*k - 44*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssnssnssnnnnnss. Give prob of picking 1 n and 1 s.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b + 1. What is t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.9 + -6. Let m = -302197 + 906593\/3. Sort 0.1, j, m in descending order.\nAnswer: m, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*c + 5*z, 4*c + 57 = z + 63 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4645*q - 18935. Give o(-4).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -1456?\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 + -5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8871793 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*d**3 - 2*d + 39.\nAnswer: -984*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-3)\/5*42\/(55944\/(-185))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-224)\/112 - (-1 - 883594\/4)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -120*p**2. Let r(x) be the second derivative of 5*x**3\/2 - 6201*x. Calculate v(r(i)).\nAnswer: -27000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 155 = 4*u + 5*y, -y + 229 = 5*u. Suppose -4*r - r + u = 0. Suppose -6*m - 15 = -r*m. Solve -3*c = 2*z - 8, -3*z + 4*c - m + 0 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 145842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145.8 - 208. What is w rounded to 0 decimal places?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, q: 8, n: 4}. What is prob of sequence rrr?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-630)\/(-1890))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(40)\/sqrt(10)) + -4 + sqrt(1008))**2.\nAnswer: -104*sqrt(7) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 + 40012?\nAnswer: 40110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {s: 3, j: 1, z: 5, d: 4}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (-4402)\/72 - 1\/(-9 - -18).\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4181 and 2?\nAnswer: 1.5819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**3\/3 + 5*j**2\/2 - 8*j + 201. What is a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + 0.3. Let k = -0.1 - o. Let w = k + -3. What is the biggest value in w, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72\/7 - 35. Let y = 25 + v. Suppose -y*i - 2\/7*i**3 - 4\/7*i**2 + 0 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 604512*r + 551928?\nAnswer: 604512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 192955.29 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 5.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 212 divided by 106\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*r - 6*r - o, 2*o - 44 = -30 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -t - 2*h, -4*t + 3*h + 2 = 0. Let l be 6 - 10 - (-2 + (-1 - -2)). Is (t\/l)\/((-4)\/1986) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(5\/6)\/c*(c\/c**3)\/c)**(-48))**(1\/2) assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*x**2 + 20*x**2 + 23*x**2 + 25*x**2 + 17*x**2 + 40*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-21\/8))**(-19))**(-34) assuming r is positive.\nAnswer: r**(-6783\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-88*n - 808*n - 559*n) to d + i*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*x + 14. Let y be (-4)\/(-6) + 160\/12. Calculate the highest common divisor of x and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 0*z**3 + 1 + 0*z - 3\/4*z**4 + 3\/2*z**2. Find the second derivative of b(q) wrt q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 7*p + 2. Let t = 0 + 7. Is j(t) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 766898 and 38?\nAnswer: 29142124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 5*i + 22, -2*r + 4*r - 4*i - 26 = 0. Let g(c) = -r*c - 8*c**2 + c**3 + 6*c + 6*c + c - 5. Is g(7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 46\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(8 + (-4)\/4). Let l be x\/(-2)*9\/(-378)*-9. Which is the third biggest value? (a) -1\/3 (b) l (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -404.8 + 405. Let q = 2\/3981 + 648893\/19905. Let r = -33 + q. What is the nearest to r in -10, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 2, 1\/9246, 0.3 in decreasing order.\nAnswer: 2, 0.3, 2\/15, 1\/9246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 6) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide (-36)\/(-126) - ((-89232)\/14 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3658*m**2 - 3*m - 2. Is p(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**3 + 27*a**2\/7 + 10398. Find u such that i(u) = 0.\nAnswer: -18\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 8*w - 7. Let a be t(-9). Let l be a\/(-3)*3*-5. Suppose 3*n - l + 4 = 0. Let v(f) = f**2. Determine v(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.074 - 0.074. Sort x, -2\/5, 12.\nAnswer: -2\/5, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 2*x**4 - 4*x**2 + 11*x**2 + 0*x**2 in the form a*x**3 + c*x**4 + z + g*x + u*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 2, 38914, 0 in decreasing order.\nAnswer: 38914, 40, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Suppose o*u - 12 = 16. What is the remainder when 39 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*i - 37. Let f = i - -4. What are the prime factors of (-32)\/96*51*(0 - f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.05428 millennia in decades?\nAnswer: 8905.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 + 1854*v - 232721. What is l(112)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -0.3, -1\/41, 0.2, 30, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (17 + -12 - 12) - 9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 663371 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -235*h**2 - 927*h - 94. What is g(-5)?\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/21 and -35\/5883.\nAnswer: 41181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5508 = -7*l. Let o = l + 462. Solve 5*p - 22 = -2*r, p = o*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000325667459 rounded to 6 decimal places?\nAnswer: 0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**5 + 12*g**4 - 8*g**3 - 8*g**2 + 12*g - 4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 5*n - 25, -5*t + 3*n + 12 = -17. What is the third derivative of 6*c**2 - 4*c**3 - 38*c**3 - 24*c**3 + t*c + 2*c**3 wrt c?\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z + 14*z - 33*z - 17*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 1, 19, 55, 115, 205, 331?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 5)*5 - 6*(-3*sqrt(27))**2.\nAnswer: -1433 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 14*p**2 + 27*p - 31. Let a be s(12). Let j be 3\/(-27)*30\/a*-81. Let y = 94 - 67. Calculate the greatest common divisor of j and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9990 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 + 2*w**2 - 6*w**3 + 13*w**3 - 1. Let o be (-1)\/(-2)*(-2 - 2). Let q be 1*2\/(-2) - o. Determine t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 4*d - 3754 = 12*b, 3*b - 2*d - 2270 = 0. Calculate the greatest common factor of 580 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 - 8*d**2 + 140*d - 1502. Calculate f(8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 5, -0.5, -177?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -102*w - 1011. Give o(-8).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3009 - 489. Suppose 0 = 216*l - 223*l + s. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(363))*6*-4 - (-3 + sqrt(15)\/(sqrt(30)\/sqrt(6)*-2)))**2.\nAnswer: 23715*sqrt(3) + 841287\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 225 + 83. What is the lowest common multiple of c and 20?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2. Let h(p) be the first derivative of 71*p**3\/3 - 2041. Calculate v(h(n)).\nAnswer: -45369*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3719*o - 3745*o - 312 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101011 + 101101?\nAnswer: 1101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -107*f**7\/210 + 27*f**3 + 8*f**2 - 8*f. Find the first derivative of d(b) wrt b.\nAnswer: -428*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/2)\/((-7)\/21). Suppose 24 = -u*i + 13*i. Let l(r) be the third derivative of -r**6\/120 + 7*r**5\/60 - 5*r**4\/24 - 4*r**3\/3 + 2*r**2. Give l(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - b - 80 + 610 = 0, 4*b = -5*q - 673. Let f = 135 + q. Solve -g - f*o + o + 2 = 0, -3*o - 4 = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2292207*y**2 + 2292206*y**2 + 2292212*y**2 + 5*y**3 - 6876625*y**2.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 129 divided by -3\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2438aa (base 12) in base 3?\nAnswer: -1002211022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 28 = -4*z, 9*i - z = 4*i - 17. Let r be i*(1\/1 + -2). Suppose x = 6*x + 5. What is the biggest value in x, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g - 2. Let r be p(-5). Suppose -5*f - 5*o + 138 = -o, 0 = -5*f - r*o + 136. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 1. Let v(y) = -7*y + 6. Let o(x) = 8*x - 6. Let s(i) = 3*o(i) + 2*v(i). Calculate 11*g(j) + 2*s(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1519 = 159. Let y = f - -379. Calculate the highest common divisor of y and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/8*-14 - 2. Let a = 3 + -2.8. Let m = 0.17 + 0.13. What is the closest to a in 4\/5, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 3*k + 2. Let n = -266 + 328. What is the remainder when (n*(-7)\/(-14))\/(1 - 0) is divided by y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32345 + -1430?\nAnswer: 30d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*j + 120*j - 2020*j - 201 + 2234 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2825 - 2818. Which is the second smallest value? (a) p (b) -0.1 (c) -0.36 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let v be (2 - (-56)\/(-35))*40\/(-216). Is v at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 - 65\/(-15). Suppose 0 = 3*a - k*a + 180. What is the remainder when a is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*k + k - 45, 3*n = -4*k + 5. Let c = -1 - n. Suppose -19 = -c*q + 21. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*48\/(-126)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1010000111?\nAnswer: 1001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 25 = 5*h, -h - 2*f = -0*f + 3. Let j(y) = -37*y + 272. Let l be j(h). Solve -2*r + 0*r = 5*n - l, 4*r = -3*n + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02011972858 to four dps.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3 = -2*w, -5*w - 23 = 2*z + z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + -2*sqrt(1584)*-4 + 2)**2.\nAnswer: 384*sqrt(11) + 101380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.12898 times -1468\nAnswer: -189.34264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)\/f*f*(f**(-7)\/f)\/f*f)\/(f**(-9)*f**1\/f) assuming f is positive.\nAnswer: f**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4 = 4*z. Suppose 2*s = -2*v + 22, z*v + 7*s - 34 = 5*s. Let d(f) = -v*f - 5*f**2 + f + 1 + f**3 - 4. Calculate d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:11 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1466340 and -40\/24439.\nAnswer: 1466340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.02922148477 and 0.115.\nAnswer: 0.14422148477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17 + 22.67. Let d = 25.84 - r. Round d to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 2*f - 1. Let d be 15\/6*6\/(-5). Let z be g(d). Let q(w) = -w**2 + 20*w + 5. Let j be q(z). What is the greatest common divisor of j and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 213?\nAnswer: 213.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10548*f + 63396. Calculate d(-6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32436, -64866, -97296, -129726?\nAnswer: -162156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-38)\/(152\/217))\/(35\/(-60))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71131 - -25?\nAnswer: -71109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 + 78*w**3 + 0*w**2 - 2 + 42*w - 32*w**3 - 49*w**3 in the form b*w + h*w**2 + v + z*w**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**4 - 1575*x**3 - 103749*x**2 - 50697*x + 51483 = 0.\nAnswer: -131, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/5, -2\/717, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/3 - 765930*t = 0.\nAnswer: 0, 2297790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112\/(-32)*(-5 + 3 + 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h + 1. Let n be s(6). Calculate the greatest common divisor of 473 and n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 632 and 11679210?\nAnswer: 11678578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/34268 and -44\/22217.\nAnswer: 58564012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 840 by -8.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-281)\/10116)\/((-5)\/(-5))?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x + 3*x + 2*x)*(2*x**3 - 1 + 1) + (644 - 1290 - 4448*x**3 + 646)*(-3*x + 0*x + 5*x) as l*x**3 + r + s*x + g*x**2 + k*x**4 and give k.\nAnswer: -8898","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15881809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 177. Let q(t) = 4155*t - 1. Give q(y(b)).\nAnswer: 12465*b + 735434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 75*a - 270 = 0.\nAnswer: 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*g - 2, -5*h - 5*g = 150 - 160 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10)*3)\/((-5)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3146 and 32318?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2327, -18441, -62027, -146777, -286383?\n\"Answer: -2282*g**3 - 44*g**2 - 8*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -254, -413, -846, -1691, -3086, -5169, -8078?\n\"Answer: -23*j**3 + j**2 - j - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 734039529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.90938 - -71.\nAnswer: 50.09062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**2 - 30. Let k(v) = -7. Let t(f) = 32. Let u(i) = 9*k(i) + 2*t(i). Determine -a(z) - 30*u(z).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*k - 1639 + 1747 = 0, 4*k = -3*n + 105 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 64538, 128953, 193140, 256985, 320374?\n\"Answer: -19*a**3 + 64548*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -u - 3*i, 12*i = 2*u + 9*i + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2678 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 194*d - 7. Let t(g) = -291*g + 10. What is -7*i(y) - 5*t(y)?\nAnswer: 97*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v**2*x - 2*v**2 + v*x**3 - 318*v + 12*x**2 wrt x.\nAnswer: 3*v**2 + 3*v*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18257 is divided by 4560?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -534*w**5 + 20*w - 3 wrt w.\nAnswer: -10680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4330, -8663, -13002, -17347, -21698, -26055, -30418?\nAnswer: -34787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -571 - -576. Let p = 0.5 + -0.8. What is the second smallest value in 11, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 3*g + 2. Let p be i(1). Let t = 26 + -18. Let u be (t\/24*(0 - 0))\/p. Solve u*k - 3 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -755196 + 431972231\/572. Find the common denominator of -51\/220 and w.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -4*o**3\/3 + 3104. Let s(l) = -36*l**2 + 16 - 16. Give s(k(m)).\nAnswer: -576*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*z**2 + 3*z**2 - 12*z + 18*z**2 = 0. What is z?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 84 = 4*p + 10*x, -4*p + 4*x = -108. Suppose p*i + 8*i = 43296. What are the prime factors of i?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**5\/2 + 7*v**4\/12 + 4*v**3 - 656*v. Let h(m) = -3*m**3 - 2*m**2 - 8*m. Determine 2*f(j) + 7*h(j).\nAnswer: -j**3 - 8*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3843 - -3843. Let p(i) be the first derivative of 0*i**4 + 4*i**3 + u*i**2 + 1\/3*i**6 + 0*i**5 + 0*i + 11. What is the third derivative of p(x) wrt x?\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + -12*((-33)\/(-9) - 4). Put 3, 2, -1, c in increasing order.\nAnswer: -1, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-5)\/(l**(-8)\/(l\/(l*l\/l**(-4)*l))) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose 0 = -3*w + h*x + 642, 3*x - 1080 + 34 = -5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*z - 6*z + 5*z**2 + (-2*z + 3 - 3)*(-3*z - z + z))*(0*z - 9*z + 2*z) to the form d*z**2 + a*z**3 + y*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 3847289777 and 16.\nAnswer: 3847289793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 11*x + 52. Let h be p(14). Let m be (h\/6)\/((-8)\/6). Which is the second biggest value? (a) m (b) 1 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 3:10 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*j = -4317*j - 21136 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2*((-5)\/(-4)*(-84)\/(-3990))\/1)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -155106 less than -5750?\nAnswer: 149356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -230465 (base 12) in base 11?\nAnswer: -353149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + 4*n + 18, -4*n = -4*q + 24. Let c(i) = 6*i - 1. Let u be c(q). Solve u*h = 6 - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 2*a + 15, -t + 6 = 3*a + 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2 + 8. Let c be j\/24 + (-6)\/8. Let b(m) = -m**3 - m. Let t be ((-54)\/36)\/((-1)\/(-2)). Let h(r) = 2*r**3 + 3*r. Calculate c*h(x) + t*b(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-765))\/((-3)\/(-18)*-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*l = -3*l - 15, -3*l - 25 = -5*y. Solve h = r, 0*h - y*h - 6 = -2*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2)\/(-3) - 1. Let s be h + (-7)\/(7\/(-4)). Suppose 5*j - 48 = -4*z, 1 = -z - s*j + 2. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:47 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000088282062 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -765 + -179. List the prime factors of 2\/7 + d\/(-28).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c - 4*c + 2*c)*(-c**2 - 2*c - 2*c + 3*c)*(0*c + 0*c + 4*c) to the form w*c + x*c**2 + a*c**3 + b*c**4 + q and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03116 * -0.93338\nAnswer: 0.0290841208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:42 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99 and 2187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-105)*56)\/(8\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44303000431 + 1?\nAnswer: -44303000430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 + 32. Find the common denominator of 2\/d*-5*-19 and 51\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 39 - 49 = s, -41*l + 2 = -3*s - 46*l - 18 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 340 - 339.88. What is the third biggest value in 3, 0.3, b, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 9*g - 16. Determine q(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/24 + o**5\/12 + 5*o**4\/6 - 10*o**3\/3 + 19*o**2. Factor l(f).\nAnswer: -5*(f - 2)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 28365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 25 + 0*p**3 + 0*p**4 + 0*p**2 - 6*p - 32\/5*p**5. Differentiate u(z) with respect to z.\nAnswer: -128*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**3 + 36*w**2 + 63*w - 294 = 0 for w.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/4)\/(-9)*(-51)\/6*(-848)\/(-106).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8288)\/2960*1*5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12115.9 litres to millilitres.\nAnswer: 12115900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1565.\nAnswer: 3130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307*w - 800 = -387*w. Let k(y) = -2*y**2 + 24*y - 14. Determine k(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**4 + 3*c**4 + 8*c**4)*(-6 + 2 + 1).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40342, -80895, -121448, -162001, -202554?\n\"Answer: -40553*w + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = 2*u + 4*w, w - 5 = 0. Let r be u\/5 - (-1575010)\/25. What is r rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -98. Which is the smallest value? (a) 0.2 (b) y (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -187\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*k + 2*k. Let w = k - -22. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-120)\/9)*7\/21.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -105a810 (base 14) in base 5?\nAnswer: -3441010023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -15. Let g be (u\/8)\/((-6)\/(-16)). What is the biggest value in 3, -4, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 10*s + 1293. Let a(t) = -t + 63. Give a(g(b)).\nAnswer: -10*b - 1230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (-18 - -14) - (-4 + 1). Which is the nearest to v? (a) 3 (b) -1\/6 (c) -9\/5 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2062888.\nAnswer: 2, 257861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*x - 74 + 129, x + 44 = 4*u. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1171\/3 - 379. Let z = s + -11. What is the nearest to 0 in -5, -2\/15, z?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43 in 0, -5.6, 5, -0.3?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2644\/9 + 8\/36. Let w = j + -154. List the prime factors of w.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (-8)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53147701?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -57. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66750 and 7188975?\nAnswer: 71889750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*t + 6 = -219*t. Solve 0 = -t*n + 5*w - 6, 2*w - 14 = 12*n - 17*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108424223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/((-420)\/(-42))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/39, 2\/9, -0.5, -0.03?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 241947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 - 139. Let o(m) = -7*m + 52. What are the prime factors of o(w)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67535, -135075, -202617, -270161, -337707, -405255?\nAnswer: -472805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2131433010 (base 5) to base 9\nAnswer: -8522337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 595745 to the nearest ten thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5 + -3*(3 + -2 + sqrt(304)*1 + -3))**2.\nAnswer: -24*sqrt(19) + 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -207905, -415805, -623705?\n\"Answer: -207900*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 4, 1582\/3 in increasing order.\nAnswer: 4, 22, 1582\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 5696 = 261*v - 80*v for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23, 7, 87, 241, 493, 867?\n\"Answer: 4*x**3 + x**2 - x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 598389.9 years?\nAnswer: 59838.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*f - 5*n + 30 = 313*f, 4*f + n - 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56057761 and 536.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -30248, -0.1, 125\/4, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.007 - 0.131. Let d = v + 0.111. What is d rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 8. Let i be a(8). Suppose -2*f - 2*z = -0 + 6, f = 3*z + 13. What is the greatest common divisor of i and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33898 is divided by 5351?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 256*w**2 - 1926*w + 22305. Determine q(263).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8 = 4*l, u + 11 = 4*l + 3. Suppose 2*j - 28 = -5*d, -6*j - 4 = -u*j + d. Solve 7*p + 15 = j*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-11)*t*t\/t**(-2\/11)*t assuming t is positive.\nAnswer: t**(178\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 6.9\nAnswer: -34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122436 + -122435.9895721. Round c to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f + 40*f + 368 = 0. What is the remainder when 496 is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gra when three letters picked without replacement from {i: 1, a: 3, n: 2, r: 5, g: 7}.\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-743473.\nAnswer: 74347.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-19)*v*v**(-1\/21)*v**3\/((v*v**(-3\/16))\/v) assuming v is positive.\nAnswer: v**(-4657\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -4. Let g be 1\/w*(-21 - -3). Suppose 1 = -8*x + g*x. What is the lowest common multiple of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13707\/(-6092))\/((-6)\/(-40)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.001134 + 0.2?\nAnswer: -2.801134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 4178.24988 to one decimal place.\nAnswer: 4178.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {u: 4, h: 2, a: 3, c: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 553555744 a multiple of 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + 7*f**2 + 16*f**2 + (f + 4*f - 4*f)*(-2*f - 1 + 1).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229 + -212.4. Let s = d + -16.4908. What is s rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120200021 (base 4) in base 14?\nAnswer: -96173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-9 - (-6 - 8) - 1)) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331202230 (base 4) in base 10?\nAnswer: -1038508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5536\/3 + 1849. Put u, 43, 0.5 in decreasing order.\nAnswer: 43, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7427520 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15243\/11 - 8262025\/5962. Calculate the common denominator of -35\/11 and j.\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000001 - 0?\nAnswer: 1000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2641 from -1386.07.\nAnswer: -4027.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 3, k: 5, d: 3, s: 2, b: 1}. What is prob of sequence zfdz?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2 - 0. Let i be (-2)\/(-8)*2 + (-3899)\/1114. Sort i, -5, g in descending order.\nAnswer: g, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 50603 - 78517 = 0. Round n to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.6 in 3, 5, 1\/160946?\nAnswer: 1\/160946","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g - 1. Let b be n(-6). Let z(k) = 192*k**2 - 1. Is z(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 3*y - 3*y + (-1 + 1 - 2)*(y - 2*y + 0*y) + 2*y + 0*y - 3*y - 1 - y + 1 + 122*y - 1624 + 1624 - 3*y + 6*y - 2*y to the form z + f*y and give f.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 84356.55l?\nAnswer: 84356550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 1, 4, 10, 74383 in decreasing order.\nAnswer: 74383, 10, 4, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -471, -847, -1421, -2265, -3451?\nAnswer: -5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*w**2 + 2*h*l*w**3 - 47*h*w**3 + l*w**3 + 11*w**3 + 2 wrt h?\nAnswer: -4*h*w**2 + 2*l*w**3 - 47*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2753 in increasing order.\nAnswer: -2753, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100207 * 667\nAnswer: -66838069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -l - 45. Let f(g) = -2*g**2 + 2*g - 1. Calculate f(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2393, -2344, -2273, -2174, -2041, -1868, -1649, -1378?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1985 - -1988. Solve v*d = -4*h + 5*d - 2, -h + 3*d = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 q when four letters picked without replacement from xqxqqqqq?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1*((l*l**(21\/2)*l)\/l)\/l assuming l is positive.\nAnswer: l**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116 or 0.1?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -7. Let r = 1.6 - 2. Which is the closest to 0.1? (a) r (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 497278686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, -4, -14, -16, -4, 28, 86, 176?\n\"Answer: x**3 - 5*x**2 - 4*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 10585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 3*o - 4*p + 6, 12*o - 17*o - 21 = -2*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 3*v + 3. Let a = 4 + -16. Let y be ((-28)\/a)\/((-2)\/(-6)). Let t = 10 - y. Give d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 8:55 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -5597057 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 127*i + 2. Let u = -432 + 434. Let o be c(u). Calculate the greatest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -13695, 0.05 in descending order.\nAnswer: 0.05, -11, -13695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.714024 - 154\nAnswer: -153.285976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from iitbitttitcttitt.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 1. Let j be r(3). Suppose 0 = 3*m - j*m + 15. Suppose -5*k - o = 28, -k + 3*o + 0 = -4. Sort -2, k, m in decreasing order.\nAnswer: m, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 21*x**3 - 15*x**2 + 48*x - 15. Let a = 12672 - 12674. Let r(t) = 3*t**3 - 2*t**2 + 7*t - 2. Give a*d(c) + 15*r(c).\nAnswer: 3*c**3 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let s(k) = 4*k - 3. Let r(d) = 9*d - 6. Let i(n) = 3*r(n) - 7*s(n). Let b(f) = 2*a(f) + i(f). What is b(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*s**4 - 3 + (2 - 2*s**2 - 2)*(-7*s + 3*s - 2*s)*(-2*s + 4*s - 3*s).\nAnswer: -15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = -3, -3*i = 3*u + 24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 5*k**4 + 4*k**4)*(11*k + 4*k + 1 - 4*k).\nAnswer: 11*k**5 + k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/147? (a) -1\/155 (b) 20\/53 (c) -1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 7*p**2 - p - 4. Let u be z(-7). Let q(r) = r - 4. Let k be q(u). Let b(c) = -4*c + 1. Let h be b(k). Put -5, 0, h in descending order.\nAnswer: h, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2540909142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.4. Let z = k + -0.9. Let c = 0.1 - 3.1. Put z, -2\/3, c in increasing order.\nAnswer: c, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(255)\/sqrt(80) - sqrt(51))\/sqrt(3))**2 - ((sqrt(68) + sqrt(68) + 1*sqrt(68))\/sqrt(4))**2*4) + 2 + 0.\nAnswer: -9607\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162\/4847 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18509.\nAnswer: 83, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 4*n. Suppose 0 = z - n*q - 223, -q = -2*z + 276 + 170. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11\/3, -2 in decreasing order.\nAnswer: 11\/3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by 39300\nAnswer: -23\/6550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2649 - 2956. Suppose 974 + 1490 = -8*f. Which is smaller: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 478201?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6) - (-2)\/(-6). Suppose 12*i - 51*i + 78 = -13*i. Solve -i*s + 9 + n = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*v = -2*g - 280*v + 1, 0 = 5*g + v + 32 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 433761 to the nearest integer?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - q - 17 + 236*q**4 + q**2 - 234*q**4 + 0*q + 2*q**3 + 35 to j*q**3 + b*q**4 + u + k*q**2 + i*q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7142 divided by 108002.\nAnswer: -3571\/54001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 + 2. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*m = 12 + 24, 6*j - 10*j + 4*m + 48 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 29*d**2 - 31*d - 29. What is b(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**4\/7 - 747*m**3\/7 + 378045*m**2\/7 - 1496181*m\/7 - 1874970\/7 = 0. Calculate m.\nAnswer: -502, -1, 5, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 0*p**2 + 15*p + 0*p**3 + 4 + 1\/3*p**4. Let r(c) be the first derivative of m(c). Let o(h) = -5*h**2. What is r(o(d))?\nAnswer: 100*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*r + 17, 3*x + 5*r = -0*x - 47. Let l be x\/(-2)*36\/(-3). Is (1 + l)*(1 + -2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + h. Let k(f) = 16*f**3 - 3*f**2 + f + 1. Let q(a) = -2*a - 18. Let d be q(-10). Let u(c) = d*x(c) - k(c). Is u(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78844873 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28*9*(-10)\/945*(-5)\/12.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*p**4 + 0 - 11\/3*p**3 + 10\/3*p**2 - p.\nAnswer: p*(p - 1)**2*(4*p - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7683 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 5*d - 25, -d - 10 = -2*n. Suppose -2*b = -n - 0. Solve 2*j - 4*m - 2 = -b*m, 2*m + 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*q**2 + 13*q + 36078*q**2 - 12*q.\nAnswer: 37311*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 3:05 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 6 - 4)*(s**2 + 0*s**2 + 2*s**2) - 32048 - 2011*s**2 + 714*s**2 + 32047 to the form y*s + z*s**2 + c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*h**2 - 1 - 184*h**2 + 0 - 12*h**2 + 4 in the form k*h + l + r*h**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 15.285115?\nAnswer: 336.27253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l - 10 = 0. Suppose 2*t - l*w = 22, 5*t - 4*w - 33 = 2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*c**3 - 22*c**2 + 90*c**3 + 11*c**2 + 13*c**2 + 60*c**3 + c to the form v*c**2 + p*c + l + o*c**3 and give o.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.1 - 1879.334762.\nAnswer: -1866.234762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 4 + 4 = -114*b - g, 3*g + 16 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 44\/(-7) + 6 - 80\/(-35). What is the third derivative of 1932*d - 1932*d + 234*d**z - 106*d**4 wrt d?\nAnswer: -2544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15829 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 29 = 43. Calculate the smallest common multiple of 10 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -11, 7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1327300, -2654170, -3981040, -5307910, -6634780, -7961650?\nAnswer: -9288520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-2)*3\/(-6))\/(-13*(-210)\/(-20930))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0)\/2 - -56. Let h(z) = z**2 - 12*z + 25. Let k be h(10). Suppose -s = -k*a - 0*a. Solve 1 = 3*y - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*d**(19\/2)\/d*d*d*d*d))*d)\/(d*d**(2\/37)) assuming d is positive.\nAnswer: d**(1069\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 - 3*f - 2. What is a(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -178.35 + 178.35000114365. What is j rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -25, 0.2, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Suppose 2*d - 176 = -27*d + 85. Let q(u) = -9*u. Calculate d*v(k) + 3*q(k).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19277 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*w + 3*w**2 + w**2 + 12*w)*(-135*w - 15*w + 2 - 50*w).\nAnswer: -800*w**3 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76792488.\nAnswer: 2, 3, 347, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.4 - -12.4. Let u(v) = v - 8. Let k be u(8). Let l be 0\/3 - (0 + 2). Which is the third biggest value? (a) l (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 59. Calculate the smallest common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 15. Suppose 4*k = n*s + 28, -3*k + 4*s + 20 = -k. Suppose 1 = h - k. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97357, -393728, -887679, -1579210, -2468321, -3555012, -4839283?\nAnswer: -6321134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - b. Let s(k) = -2*k**3 + 24*k**2 - 4*k - 3. Determine -2*j(i) + s(i).\nAnswer: -2*i**3 + 18*i**2 - 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7512, -7484, -7450, -7410?\nAnswer: -7364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 655 = -12*p + 67 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 104*a**3\/7 - 188898*a**2\/7 - 1360151*a\/7 - 46890 = 0. Calculate a.\nAnswer: -90\/13, -1\/4, 3647\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 14201?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -14, 43, 146, 295, 490?\n\"Answer: 23*b**2 - 58*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -167 + 1166*i - 2369*i + 1201*i as a*i + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 708553 is divided by 50610.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3520517511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**5 - 314*l**4 + 2977*l**3 - 8932*l**2 + 7452*l + 1872 = 0 for l.\nAnswer: -1\/5, 2, 3, 6, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 21, -28822, 5, 2 in increasing order.\nAnswer: -28822, -5, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q - 846*q = 159*q + 481*q + 98704 for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1525, -2016, -15685, -44546, -93663, -168100, -272921, -413190?\nAnswer: -593971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-5))**(-16\/7) assuming n is positive.\nAnswer: n**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 n when four letters picked without replacement from oobobboooonbbobonboo?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 137*s + 7*s**4 - 137*s + (4*s**3 - s**3 - 2*s**3)*(s + 4*s + 0*s).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(102))\/(sqrt(6) + (sqrt(6) + (sqrt(300)\/sqrt(5))\/sqrt(10) - sqrt(6)) + sqrt(6)).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.9. Let p = -51.2 + 51.7. Which is the second biggest value? (a) p (b) t (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/((-1485)\/(-154))*27\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from {x: 1, j: 8, l: 2, z: 5, b: 2}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:21 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -3*p**5\/10 - p**4\/6 + 3*p**2 + 5*p. Let f(l) = -5*l**3 - l**2 + 5. Determine -4*f(d) + 3*m(d).\nAnswer: 2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*a + a + 4*r, 4*a - 28 = r. Let o be ((-1)\/a)\/(4\/8). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 17 - 3 - 1 - 20*l + 1.\nAnswer: -20*l - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6015167569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 4\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -971*b**2. Let w(g) = 111*g + 15. Let y(k) = -534*k - 72. Let s(j) = -24*w(j) - 5*y(j). Determine s(m(h)).\nAnswer: -5826*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 164115 and 1260.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/28*1)\/(69\/276)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nurmrnhzruzz. What is prob of sequence mr?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + 3*p. Let b(o) = 11*o**3 - 8*o**2 + 10*o - 1. What is -b(z) + 4*w(z)?\nAnswer: -11*z**3 - 4*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l*l*(l*l*l**0\/l)\/l*l*l)\/l*l*l**(3\/4)*l*(l\/l**(-1\/2))**(6\/25) assuming l is positive.\nAnswer: l**(911\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*f**2*q - 4*f**2 + 25*f*q + 8001638*f + 1763*q + 1 wrt q.\nAnswer: 62*f**2 + 25*f + 1763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) - sqrt(192)*3) + ((sqrt(700) + sqrt(700) + -1 - sqrt(700))**2 - (sqrt(7) - (2 + sqrt(63)))).\nAnswer: -199*sqrt(7)\/11 + 703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*o - 0*o. Let s = o + -747. Let g = -496 - s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 + 2. Let n(h) = -83*h**2. What is n(p(g))?\nAnswer: -332*g**4 + 664*g**2 - 332","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-360)\/(646\/(-320) - -2). What is n rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p - 1. Let u(k) = 18*k + 1. Let j(q) = -4*u(q) - 5*x(q). What are the prime factors of j(1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-10) + 2\/(-10). Suppose r - d*m + 49 = -3*r, 2*r + 2*m = -28. Let b = r - -24. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2732 and 10339937.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 16*p**2 - 33.\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 396 - 146. Suppose o = 4*k - 598. Let x = -1159 - -1177. Calculate the greatest common divisor of k and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 17, 0.06, 1\/6, -0.6, -10\/13, -2\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/16)\/((-7)\/(-14) + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttj when four letters picked without replacement from {j: 1, t: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l + l)*(-2*l**3 + 7*l**3 - 4*l**3)*(-6 + 11 + 8).\nAnswer: 78*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*x - 14. Let n(u) = -u**3 - 15*u**2 - 14*u + 6. Let k be n(x). Let t(v) = v - 2. Determine t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430002 (base 7) to base 10.\nAnswer: 74433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9974*s**3 + 6652*s**3 - 3281*s**3.\nAnswer: 13345*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115289199, 115289200, 115289201, 115289202, 115289203?\nAnswer: 115289204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11814 = 1641*o + 24288 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-36) + 1864\/36. Suppose -y + n = 3*y. Let b be y\/(-26) + (-38)\/(-60). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(3 + -1)*4. Let x be (-1)\/(i\/(-24)) + 6. Solve x = 4*t + 23 - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.801 - 5.011. Let g = i + 1.21. What is the smallest value in 2, -1.6, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = 0, 0 = -10*q + 5*q - 2*y + 33. Suppose q*a = 4*a + 5. Let t = 6.4 + -6.5. What is the nearest to t in -3, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5473268 decades in centuries?\nAnswer: 0.05473268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*g - g + 10*g - 10*g to the form m + s*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -390 and -0.4.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 1105105.\nAnswer: -1105104.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 3281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*a**2 + a + 3*a**3 - 2*a + 2015*a**2 - 267*a**2.\nAnswer: 3*a**3 + 1501*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 165489 = 37453 + 521600. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -838 + 5?\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 12, 0.2, 5, 9\/19, 0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose i - 4 = r. Let w = -8 + i. Is w greater than or equal to -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 + 201112?\nAnswer: 122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*l + 59*l - 62*l)*(20 - 9 - 29 - 76 - 87).\nAnswer: 6335*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625189446 is divided by 2825.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1\/(-3) + 16\/(-816). Suppose 11 = -2*b + 5*b + i, -4*b = 3*i - 23. Suppose -y + 1 = b. Is y equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - (-3 - (-3 + 1)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -777 (b) 17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7*i - 8. Suppose -10 = 2*c - 0*c - 2*n, 25 = 5*c + 5*n. Put -4, c, i in decreasing order.\nAnswer: i, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/285 and 52\/1425?\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/630 - a**4\/6 + 4*a**2. Let m(u) be the second derivative of c(u). Let g(l) = -17312 + 2*l + 17312. Determine m(g(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 166*n**6 + 4*n**4 + 60*n**3 - 3566578*n**2.\nAnswer: 19920*n**3 + 96*n + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z + 23. Let d(y) = -10*y. What is -4*d(h) - o(h)?\nAnswer: 12*h - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55979, -55776, -55427, -54926, -54267, -53444?\n\"Answer: w**3 + 67*w**2 - 5*w - 56042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {q: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19 - 10 + 1 - r. Suppose 0*s - 24 = -3*s. What are the prime factors of d(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(r\/(r\/(r\/(r**(9\/4)*r*r)))))\/r)\/((r*r\/(r*r**15*r))\/r))\/(r**(-1\/18)\/r**(2\/11)) assuming r is positive.\nAnswer: r**(8113\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1\/(-8)*(-3)\/(-1)). Let z(y) = 14 - b - 5 - y. Let w(n) = n. Give 3*w(v) + z(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*d + 5. Let t be -3 + 1 + d\/9. Let f = 0.7 + -0.6. Is t greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 706 = 3*l, 4*l - 923 = -5*u + 10*u. Calculate the remainder when l is divided by 75.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -891*p**3 + 16*p**2 + p - 33527?\nAnswer: -2673*p**2 + 32*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/315 + (-11587729)\/(-218715).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let x = -1.16 + 0.66. What is the smallest value in x, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mvemmmemeemeee.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8911 and 315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 2. Let a be s(-3). Let m be a\/(-3) - 2505\/(-9). Suppose -54278 = -2*w + 2*l - m, 4*l + 135000 = 5*w. What is w rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.176 + -0.124. Let a = g - -3.3. Suppose -3*v - 5*i - 16 = 0, -2 = 2*v + 3*i + 8. What is the fourth biggest value in v, -7, a, -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -37*b + 294. Let w(r) = -26*r + 196. What is -5*f(o) + 7*w(o)?\nAnswer: 3*o - 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-747)\/(-12) + 4\/(-16). Let d = z - 60. Suppose 2*s - 40 = -4*w, w + d - 17 = -s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -213, -3 in increasing order.\nAnswer: -213, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**0*m)**(-4\/21)*((m*m**(1\/3))\/m)**(2\/63))**(2\/29) assuming m is positive.\nAnswer: m**(-20\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Let b(a) = 0*a - 3*a + 5*a + z + 3. Let o(d) = -d**2 + 3*d - 4. Let y be o(3). Give b(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2\/4 - 152810*l + 1527975 = 0. What is l?\nAnswer: 10, 122238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -11.02, -1\/2, 13\/3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -29. Suppose t*a + 11 - 3 + a**2 - 7*a + a**2 = 0. Calculate a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203400 and 4860?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 1755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7077839, 14155670, 21233499, 28311326?\nAnswer: 35389151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by (-3)\/12 + (-15 - (-639)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let d(l) be the second derivative of -705*l**4\/4 - l**2\/2 - 6*l - 331. Calculate r(d(u)).\nAnswer: 4230*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1*-4)**2 + sqrt(1088) - ((sqrt(1088) + 3)**2 + -5) - ((-5*sqrt(1088)*-3)**2 + (sqrt(1088) - (sqrt(1088) + 2)*4)).\nAnswer: -228476 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - (6 - 3)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 m when three letters picked without replacement from {u: 2, t: 2, m: 5, r: 1, x: 10}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -2 (c) 2\/11 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-456 - -463)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 478*p**2 - 5*p + 1071. Let v(j) = j**2 + j + 8. Let r(f) = -i(f) - 2*v(f). Differentiate r(w) wrt w.\nAnswer: -960*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**3 + 2*o**2 + 2. Let b be q(-2). Let d = b - 57. Let j = d + 111. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1052213 and 758104.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2002 + -100100211122221?\nAnswer: -100100211120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (5 - -5) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -691*v**5\/10 - 61*v**4\/12 + v**2\/2 - 87*v + 1. What is the third derivative of g(y) wrt y?\nAnswer: -8292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - d = 14 - 11, -5*d = -15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -1423?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1, 783, -5 in descending order.\nAnswer: 783, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 338+203208\nAnswer: 203546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -2*sqrt(288) + 5 + -4.\nAnswer: -23*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 9 + -11 - (3 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -313*f**2 + 90*f + 16. Let u(m) = 104*m**2 - 30*m - 6. Let i(d) = 3*o(d) + 8*u(d). What is the second derivative of i(h) wrt h?\nAnswer: -214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 6, 0.4, -2\/15, -3, 44?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432057 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 11:42 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 5:47 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 3110?\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -148.4 + 148. Let v = 30.8 - 4.8. Let j = -31 + v. What is the third smallest value in 1\/4, g, j, -21\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -847*v**6\/15 - 215*v**3\/6 + v**2\/2 + 1598*v. What is the second derivative of n(f) wrt f?\nAnswer: -20328*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1475 and 40?\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1967 + -1130. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*w - w - 20, 4*w + 40 = 2*f. What is the greatest common factor of 15 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 241*s**7\/7 - s**4\/2 + 149*s**3 + 2*s + 1733. Find the third derivative of u(q) wrt q.\nAnswer: 28920*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 52, 85?\n\"Answer: 33*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 16473798.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**6 + 6*v**5 + 25*v**4 - 5000*v**2 wrt v?\nAnswer: -480*v**3 + 360*v**2 + 600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let c be (-304744)\/(-1320) - (-4)\/(-10)*-2. Let r = c + -232. Which is smaller: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18 - 1)\/((44\/147)\/44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(1 + -38) - (6 + 64\/(-10))*20.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 4*k + 1, -5*o + 5*k = 3 + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1468\/(-242) + 6)\/((-15760)\/(-17336))?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 19*w + 14. Let z be v(-9). Suppose z*j = 2*j + 294. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58862 is divided by 406?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (sqrt(99) - (sqrt(99) - (sqrt(99) + 3*sqrt(99)) - sqrt(99))))\/sqrt(9) + 2 + (sqrt(176))**2 - 3*-1*(sqrt(22)\/sqrt(2)*-4)**2)*6.\nAnswer: -24*sqrt(11) + 4236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 648187 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: Calculate prob of sequence xs when two letters picked without replacement from ssssssxsssssssssss.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.86341 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3477 + 3477 + 6*p + 27*p**3)*(-3*p + 6*p - 2*p).\nAnswer: 27*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69452145054650496 - -69452144236257412.89999993. Let q = -818392965.1 - b. Let w = 118 - q. Round w to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15014060 - 9892*j - 15014060 to o + w*j and give w.\nAnswer: -9892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - -65. Let w be -76*(45\/(-12) - -3). Suppose 5*i = b + w. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2452 and 8.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2898 and 962304?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 5)\/(-7*1). Let d = 4 + -7. Let i = -0.3 + 0.2. What is the closest to i in d, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2817*z**2 + 2*z**3 - 1405*z**2 - 1412*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*i**5 - 3*i**4 - 45336*i**2*z - 832*i*z + 421*i - 2*z + 3 wrt i?\nAnswer: -660*i**3 - 36*i**2 - 90672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 44*n + 96.\nAnswer: 4*(n + 3)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 72311545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4121500 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -46, -38, -16, 26, 94, 194?\n\"Answer: n**3 - 2*n**2 - n - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668982061 to the power of 1\/2, to the nearest integer?\nAnswer: 40853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-330)\/462*(62\/5)\/1)\/(3545\/4963)\nAnswer: -62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 8 = -3*h. Let m be (64\/822)\/(h\/(-368)). Let j = m - -1\/137. Calculate the common denominator of -28\/9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {w: 3, j: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -2\/9, 5, -2, -69\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/18*(-16)\/42\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, x: 2, e: 1, d: 2}. What is prob of sequence xqex?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 4*c**2 + 25)*(7*c + 7 - 7) + (-c + 0*c + 3*c)*(-c**2 - 2*c**2 + 5*c**2) + 0*c**3 - 2*c**3 + 5*c**3.\nAnswer: 35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7807 is divided by 1130?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*r - 16 = 0, 8*l - 36*r - 30 = -22*l + 31*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3063 and 16.\nAnswer: -49008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 + -4 + 2 + (-7 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from vqbqqbvvqqqqvv.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -5074?\nAnswer: 5070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(2\/2*2). Let v = 16 + -17. Which is the second biggest value? (a) m (b) v (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 31\/459?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (-31 + (-14 - -12) - -15)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, n: 1, s: 6, h: 3, g: 6, p: 1}. What is prob of sequence hp?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -3, 3 in decreasing order.\nAnswer: 3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-457 - 23*b**3 + 457) to the form v*b**2 + f*b**3 + p*b + w and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174704, 698872, 1572486, 2795546, 4368052, 6290004, 8561402?\nAnswer: 11182246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-15)*r*r))**49 assuming r is positive.\nAnswer: r**686","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007532 rounded to six decimal places?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c*((c*c**(1\/2))\/c)\/c*c*c**(-5\/14))**(-12))**(29\/3))**(-47) assuming c is positive.\nAnswer: c**(158108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + 8 - 1\/(-11). What is the closest to -1 in 0.2, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19) + 1 + 2.\nAnswer: 3 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 0*r**3 + 0 + 0*r**2 + 1\/12*r**4 + r. Let l(z) be the third derivative of 5*z**4\/24 - 10*z**2. Give l(a(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t*t)\/(t*t**(-1)))\/(t**(1\/2)\/(t*t\/(t*t*t**(-5)*t*t*t))))**(-7\/3) assuming t is positive.\nAnswer: t**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 520*k**3 - 66639*k**2.\nAnswer: -k**2*(k - 291)*(k - 229)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46986 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.36. Let f = r + -1.7. Let w = -16.16 + 21.16. Which is the third biggest value? (a) f (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3986625539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-7)\/(168\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 9.37875?\nAnswer: -4.689375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 99 in ascending order.\nAnswer: -4, -3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 2:19 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = q - 15, 3*v + 129 = 4*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1222627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3 - (-4 - (-1 + 0))) + 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + c**2 - 1. Let z(x) = 66*x**3 + 33*x**2 - 33. What is 66*d(y) - 2*z(y)?\nAnswer: -66*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/7, -2, -0.4, -42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/3 - 205054*z\/3 - 10511785729\/3 = 0. Calculate z.\nAnswer: -102527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 12:31 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112549 is divided by 619.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 15 + 7*y**2 - y**2 - 15.\nAnswer: 6*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/2 - x**2\/2 + 15*x + 7. Let v be n(0). What is the highest common factor of v and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (8 + 0 - (-2 + 7))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 797423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159 and 26741256?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -1486668*z**2 - z + 9. Let y(f) = -f**3 - 32*f**2 - 33*f - 65. Let d be y(-31). Let b be t(d). What is b rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igvwigivgvv. Give prob of sequence vvgw.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 147132 and 27006896?\nAnswer: 243062064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2582, -5137, -7692, -10247?\n\"Answer: -2555*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3 + 3 - 2*a**2. Suppose g = 1275*l - 1279*l + 14, 0 = 2*l + 5*g + 2. Let w(z) = -2*z**2. What is l*w(n) - 5*r(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.651 - 0.72. Let i = o - 0.731. Let w = -0.3 - i. Which is the closest to 23? (a) -2 (b) -3\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(1650\/(-24)))\/((-6)\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v = -3*n - 33, 5*v - 55 = -4*n. Suppose 0 = 2*o - 5*b + 8, -4*b + 33 - v = o. Let l(f) = f**3 - 5*f**2 - 5*f - 4. What is l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358469 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*30\/1120)\/(((-10)\/7)\/5)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x**3 + 27*x**2 + 12*x + 16. Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 4*l**6\/5 - 21*l**2 - 63*l - 43. Let z(x) be the first derivative of v(x). Differentiate z(h) with respect to h.\nAnswer: 96*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/120 + w**5\/6 - 13*w**4\/24 + w**3\/2 + w**2. Let a be x(-11). Let s = -10 + a. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1317*z**2 - 321036*z - 858463985 wrt z.\nAnswer: -2634*z - 321036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13878485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 185?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5542302 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2808)\/330 + 86 + -78)*2\/(8\/10)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71.7 - 75. Let q = -3.8 - p. Which is bigger: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2, 1, 2\/65, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1\/5, -1202, 74, -0.02?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**3 - 2048414*o**2 - 1834617*o + 1 wrt o?\nAnswer: 12*o - 4096828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6*-4*(26 - 8)\/(-6). What is the third smallest value in 3, 1\/3, 2\/9, p, -4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -403.5, -5, -368?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 351 + -340 + 2 + (-143 - -2) + (-16 - -32)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - 74)*6\/(-8). Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-155*d + 90 - 44 - 50)*(-5*d + 4*d - d) to g*d + t + y*d**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3531094554 to the nearest integer?\nAnswer: 59423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 4*u = 3*t - 27, 4*u = -5*t + 77. Let c(b) = -2*b + 2*b - 11*b**2 + 3*b + t*b**2 + 1. Determine c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4553766, -9107506, -13661248, -18214992?\nAnswer: -22768738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 22 + -1213 + 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Let b be (312\/j)\/(2\/4). Is b\/9 - 4\/(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2 + 9 + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuku when four letters picked without replacement from nfknukkufku?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81\/4 of a millennium?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2201100 (base 3) to base 6\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**4\/114 + 16*c**3\/57 - 912*c. Factor l(x).\nAnswer: -2*x*(x - 16)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 216\/60*5\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.97 + -4.1. What is the closest to 0.1 in -0.1, m, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 2 = -2*x. Let y be (-2)\/11 + (-57)\/x. Let w(z) be the first derivative of -z**3\/3 + 5*z**2\/2 + 2*z - 2. Calculate w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**4\/4 - 20*m**3 + 5342*m. Determine g, given that p(g) = 0.\nAnswer: -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**2 + 2*w - 15. List the prime factors of v(-4).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(-5\/4))**(-1\/16)\/((l**2*l**(-2\/5))\/(((l**(1\/10)*l)\/l)\/l**(2\/13))) assuming l is positive.\nAnswer: l**(-1999\/1248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107918127*p**2 - 728591793*p wrt p.\nAnswer: -215836254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 399, 290, 181, 72?\n\"Answer: -109*n + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 50*u**2 - u - 13. Let k be l(-3). Suppose -5*j = -115 - k. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**4\/24 + j**3\/6 + 36*j**2 - 2. Let c be p(0). Let o(l) = -11*l. Give o(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l + 32*l - 914992 = 13*l. What are the prime factors of l?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let m be -3*(40\/3)\/(-4). Let a(p) = -m + 10 + p. Determine a(v(l)).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-16*(-16)\/768?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32\/3, -5, 0.1, 9\/8 in decreasing order.\nAnswer: 9\/8, 0.1, -5, -32\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 b, and 1 g when three letters picked without replacement from bgrbgogggbbgrbbbgbbg.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -13*d + 742. What is the remainder when 40\/(-12)*(-642)\/5 is divided by d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q = -5*y + 63, y - 3 = -3*q. Let a be (-7 + y\/3)\/((-3)\/8). Let r = 30 + -27. Solve 0 = 5*d - 4*p + a*p + 41, 0 = r*p + 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1859833, 3719684, 5579537, 7439392?\nAnswer: 9299249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40086*n - m - 1 = 40085*n, -15*m = -2*n - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-57)\/(1881\/(-726)))\/(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - l + 33. Suppose 0 = 4*j - 5*j + 4*g + 36, g = j - 39. Suppose -j = -2*s - 6. What is the remainder when p(0) is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2636 - 2629 + 5265 - 62*t**2 - 9*t**2.\nAnswer: -71*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.58 + -12983.\nAnswer: -12982.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -3*h + 127. Put 4, 5, 3, h in increasing order.\nAnswer: 3, 4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6197 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*w - 31*w - 31*w)*(-1 + 1 + 2*w)*(-2 + 0 - 3).\nAnswer: 220*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 12*i - 1. Suppose -5*g = -2*r - 22, 4*g - 3*r - 5 = 7. Let p be a(g). What is the second smallest value in p, -3\/4, 4\/3, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u\/(u\/u**10))))\/u)**(1\/101)\/(u**(2\/19))**50)**(-3\/7) assuming u is positive.\nAnswer: u**(29787\/13433)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.45 - 0.05. Let f = -8 + 7.4. Let o = f - k. Which is the biggest value? (a) 5 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431849839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -33. Suppose -16 = -s*a + 2*n, -2*a + 2*n = 4*n - 8. Suppose -13 = -a*r - 5. Sort r, 5, 4 in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12278.\nAnswer: 2, 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 19 - 5 + 9 + 1084*m + 12.\nAnswer: 1084*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - p - 1. Let v be ((-242)\/(-121))\/((-1)\/(-2)*1). Suppose 3*n + g = 6*n + 6, -3*n - v*g + 9 = 0. Give u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 887 and 512.\nAnswer: 454144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (sqrt(1872) - (sqrt(1872) + 1))) + 5.\nAnswer: 6 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/3644 and -65\/19131?\nAnswer: 76524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3960 = -60*i. What is the lowest common multiple of i and 366\/10 - 12\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/3 + -7\/3. What is the second biggest value in -0.2, f, 3, 1\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2. Let j = 1396 + -586. Let i(n) = 3*n + 0*n + 810 - j. Calculate i(p(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*o = -45, -114*o = 4*r - 116*o - 102. Solve -37*t - 24 = -r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16780 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 - 15*s + 8.\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/4)\/5*(-68)\/18 and 49\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcf when three letters picked without replacement from mqhpfcmq.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f**2 + 22218*f - 1532 = 0 for f.\nAnswer: 2\/29, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 2715 - 6080 + 2945 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264520 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 10*j - 5. Let v be i(-9). Suppose 2 = -m - v*h + 4, m - 2 = -5*h. What is the greatest common divisor of m and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3\/7 + 59*d**2\/7 - 37*d\/7 - 19\/7 = 0.\nAnswer: -1\/3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -402.2 + 400.2. What is the nearest to -1 in -7, -1\/2, -22, b?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 18*g**2 - g + 22. Let q be b(18). Let o be q\/10 - 4\/5*-2. Suppose -t + 1 = o, -1 = -a + 2*t. Which is greater: a or -1\/30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let t = -1 + 1.1. What is the nearest to 0.1 in t, 2, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 - 3*b**2 + b - 1. Let j be n(2). Let p be (-21)\/j + (-394)\/(-10). What is the tens digit of 1 - (-4 - (1 + p))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10742 + 10741. What is the biggest value in 16, c, 0.15?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2010682243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -81262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 42 = -2*u, -2*u = 9*j - 4*j - 3 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7419 - 467. List the prime factors of f.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 225 + -222. What is the biggest value in a, 1\/4, -0.2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1911 divided by -4.\nAnswer: -1911\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**3 + 7*l**3 - 2 + 2.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.55513*165\nAnswer: -91.59645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**4\/9 - 224*f**3\/9 + 652*f**2\/9 + 224*f\/9 - 218\/3 = 0.\nAnswer: -1, 1, 3, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111010000010110 + 10111010?\nAnswer: 11000111010011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 1. What are the prime factors of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**1*r*r)\/r)\/r*r**(2\/49))\/(r**(-9)\/r**(1\/21)) assuming r is positive.\nAnswer: r**(1483\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 996769.4 millilitres in litres?\nAnswer: 996.7694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjxuvxjxjxljxjlv. Give prob of sequence lu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*r + 2*x = -39*r - 46*r - 32*r - 14, -3*r + 12*x = -120 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 0*(-3)\/6. Let r be (y\/1 - -1) + -5. What is the third smallest value in 1\/3, -2\/7, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 17 - 29 - 41473*s**2.\nAnswer: -41473*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8*z**5 - 522*z**4 + 935*z**3 - 205*z**2 - 267*z + 67 = 0.\nAnswer: -67, -1\/2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 10 = 5*r, -2*j = -4*r - 11 + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8829*u + 8851*u = -200684. Which is smaller: u or -9121?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 0 + 6 - 2*g**2 + 0. Let m be k(3). Let i = 16 - m. Solve -2*z - 7 = 4*y - i, -3*y = -z - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 1:40 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 41588743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 - 4*j - 1. Let t = 14 + -8. Calculate v(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-600)\/(-42) - (-2)\/(-7). Let i(t) = t**3 - 15*t**2 + 16*t - 9. Is i(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194251 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3937312 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(2*y + 4*y - 5*y) - 3*y + y + 0*y)*(4*y**2 + 8 - 8).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(5\/3))**(-6\/7) assuming y is positive.\nAnswer: y**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-3)\/(-9)). Let k(w) = w**2 - 3*w. Let b(l) = -l. Let h(v) = a*k(v) + 6*b(v). Let f(m) = -6 + 2 - 3*m + 4. Give h(f(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/50 and -37\/20470.\nAnswer: 102350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x = 36*x + 700. Let y = -144 + x. Put 2\/69, y, 5 in increasing order.\nAnswer: y, 2\/69, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/5 - (1030\/(-50) - -11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2252 and -20?\nAnswer: 4.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = y - 4*y - 22, 18 = 4*i - y. Which is greater: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let c(n) be the first derivative of -7*n**2\/2 - 12*n - 130. Give c(y(t)).\nAnswer: -14*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 12. Suppose 6*l - 102 = 4*l. Suppose -l = -4*g - 15. What is the remainder when g is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23534\/7462)\/((-14)\/(-182))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.57 at least as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 4*s + q + 17, -16 = -s - 4*q. Put -0.5, -2, s, -2\/3, -0.3 in increasing order.\nAnswer: -2, -2\/3, -0.5, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 2, 6, 49900.\nAnswer: -6, -1, 2, 6, 49900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8627, -8640, -8661, -8690?\n\"Answer: -4*l**2 - l - 8622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -172 and 2.68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -4. Let r = 1 + -9. Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x - 47*x + 13*x + (-3 - 2 + 4)*(-2*x - 3*x + 4*x))*(-2 + 0*x + 2*x**2 + x + 0*x).\nAnswer: -148*x**3 - 74*x**2 + 148*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52364605 + 116?\nAnswer: -52364456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/(138\/(-82800)*-660)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 350 = 7*o. Suppose 0 = 2*f - o + 8. Suppose 0 = -4*c + 17 - f. Let a(z) = -5*z. Calculate a(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 1. Let f be o(-3). Suppose 5*v + 5*i - 7 = 8, -f*v + 45 = -5*i. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23522539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -5, -13, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 97812?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtctttcamlclccaca. Give prob of sequence lam.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -46683511748.\nAnswer: -46683511748.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 10354578?\nAnswer: 82836624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304 = -n + 2307 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8aa3 (base 12) to base 2.\nAnswer: -11110000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhb when three letters picked without replacement from ahbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -9*i**5\/20 - 23*i**4\/8 + i**3 + 27*i - 82. Determine h, given that w(h) = 0.\nAnswer: -4, 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-108)\/24*(-1 - 9). Let t = -40 + b. Suppose 2*x + 1 = t. Solve x*f = -1 + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12267*n**3*q**2 - 7*n**3 - 255*n*q - q wrt q.\nAnswer: 24534*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 + 5*i**3 - i**3 + (-2*i**2 + 0*i**2 + 5*i**2)*(0*i + 2*i + i) + 2*i**3 - 29*i + 29*i to the form z*i**2 + l*i**3 + y*i + o and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 222 = s, -2*l - 446 = 2*s + 2*l. Let x = -225 - s. Is x < 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 12413101107 = 43*t - 2607601107. Round t to the nearest 1000000.\nAnswer: -392000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -247*d + 10. Is s(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4510 - 4431. Solve 92*j = a*j - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/11)\/(22\/(-33)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 6*v + 29. Solve -38 = 2*g - v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/70 > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 24.139.\nAnswer: -168.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 3*a - 3. Let v be w(6). Suppose -x + v = 2*x. Let f = -5 + 3. Sort 4, x, f.\nAnswer: f, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**4 - 2*o - 3. Let f be 2*3\/((-6)\/(-8)). Let l(z) = 12*z**4 + 6*z + 8. Let s(p) = f*y(p) + 3*l(p). Find the second derivative of s(w) wrt w.\nAnswer: 48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86 (base 13) to base 9.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2198995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, b: 1, h: 1}. What is prob of sequence he?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -214360 + 425?\nAnswer: -213632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:55 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56287560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 4*a + 15. Let w be p(6). Let h(j) = -24*j + 56*j - 32*j - w*j**2. Let n(t) = -7*t**2 - t. Determine -5*h(r) + 2*n(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/7 + 36*x\/7 + 34\/7 = 0. What is x?\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*v + 18, -l - 13 - 11 = -9*v + l - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 14*y**2 + 24. Let g be i(14). Calculate the highest common divisor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/27)\/k*k)\/k)\/(k\/(k*((k**18\/k*k*k*k)\/k)\/k))*(k\/(k*k**(-23)))\/k*k\/((k*k*k**(-11\/3))\/k)*k assuming k is positive.\nAnswer: k**(1204\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1290, -5111, -11460, -20337?\nAnswer: -31742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 180 in -0.07, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + -15 + 25\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79755*n**5 - 2*n**2 - 2*n - 765208.\nAnswer: -1595100*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 2411)*((-8)\/(-5) - 2).\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*b - 2*b**2 - 76*b)*(b - b - 4*b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*l - 18 = 0, -3*o - 120*l = -116*l - 10. Which is the nearest to -6? (a) o (b) -5 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 119 = 2*g, -5*z + 295 = -0*g + 5*g. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 115*w**2 - 44*w + 119. Is s(28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001100001110100001000 (base 2) in base 6?\nAnswer: -1025200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30012101231 + 22?\nAnswer: 30012101313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**3 - 8*q**2 - 4*q - 6. What is the hundreds digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*a + 3652*a = -1562*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9642 + 9646. Let h be (3\/10)\/((-12)\/(-8)). What is the second biggest value in -1\/28, a, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3188, -4.77, 18 in ascending order.\nAnswer: -4.77, 18, 3188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.809379 decades in millennia?\nAnswer: 0.00809379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-66))\/(8\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 2*n + 0*n**2 + 2*n**3 - 7*n**2)*(-9*n**2 + 49*n - 49*n)*(3 - 3 - 1).\nAnswer: 18*n**5 - 63*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 150 (c) -8\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + (sqrt(7) + 1)*3 + sqrt(7) + sqrt(700) + 1*sqrt(700) + -1)*-5)**2.\nAnswer: 60000*sqrt(7) + 2522500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 0 + 0)*(-25215 + 430 - 1530)*(0 + 0 + c) as l + m*c + p*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 335977 - 2648092.\nAnswer: -2312115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70695, -141393, -212091, -282789, -353487?\n\"Answer: -70698*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 - 2*v**3 - 3078*v**2\/5 - 5166*v + 21060 = 0.\nAnswer: -30, -13, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 22217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 2:48 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 + 7*q**2 - 12*q - 3. Let w(v) = 21*v**3 + 21*v**2 - 37*v - 8. Let y(z) = -8*f(z) + 3*w(z). Find the second derivative of y(k) wrt k.\nAnswer: 42*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*(32\/4)\/(22\/(-44))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 9:27 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-1077)\/(-28002).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 493360833 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 317*j**5\/60 + 1015*j**4\/12 - 631*j**2. What is the second derivative of b(m) wrt m?\nAnswer: 634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6892.7117 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-2)*20\/(-2). Let q = -9 + 3. What is the units digit of (-4)\/q - (-50)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -81. Let f = -48 + z. Calculate the highest common factor of f and 418.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 3. Let i = 1758\/5 + -352. Let r be 46\/(-24) + (-13)\/(-52). Which is the nearest to i? (a) 5 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/6*n**6 + n**2 + 113\/5*n**5 + 0*n + 321 + 0*n**4 - 23*n**3. What is the third derivative of f(g) wrt g?\nAnswer: -60*g**2 + 2712*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 285 - 141. What is the highest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 3:11 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 213766803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82.748 + 1.352. What is y rounded to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 3*g = -7, -3*y = 4*g - 9 - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(14\/(-63)*-42)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/738 and 73\/(-1825)*((-95)\/6)\/(-1).\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.11*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 34705, 70074, 105443, 140812?\n\"Answer: 35369*j - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 12\/20916121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 55440483 to the power of 1\/2, to the nearest integer?\nAnswer: 7446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32514631 - -233?\nAnswer: -32514365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/12*q**3 - 5\/8*q**2 + 0*q + 38. Find s such that z(s) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 851068020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0130472 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 3*h**4 + 0*h + 3*h**4 - h**4 + h**4 + (-4 + 0 + 6)*(-2*h**4 + h**4 + 0*h**4) as b + c*h**4 + a*h**2 + i*h + n*h**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h*q**3 + h*q - h + 352*q**3 + 8*q**2 - 173*q + 1 wrt q.\nAnswer: -30*h*q + 2112*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 - -103. What are the prime factors of 305 + (-5)\/(i + 11)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 e, and 1 o when three letters picked without replacement from {o: 1, w: 1, d: 2, g: 1, e: 2, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8 = 0, 5*f + t = -3*t + 26. What is the third derivative of 23*s**6 + 3*s**f + 0*s**6 - 11*s**6 wrt s?\nAnswer: 1440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -50732201.\nAnswer: -1\/50732201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from phhph?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -a. Let g(s) = -2*s**2 - 20*s - 30. What is the least common multiple of a and g(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*j + 25. Suppose 2*b = -2*m + 114, 3*b - j*m + 73 = 4*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 79981 = 6*x + 19453. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1439 = p - 1610. What is the second derivative of 2727*b**2 - p*b**2 - 99*b + 289*b + 90*b wrt b?\nAnswer: -644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**5\/5 + 936224*n**4\/5 + 2808708*n**3\/5 = 0.\nAnswer: -3, 0, 234059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 157081226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d + 13. Let b = 60 + -58. Let a(o) = -8672*o + 8672*o - b*o**2. What is a(u(i))?\nAnswer: -8*i**2 + 104*i - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97506064?\nAnswer: 2, 1987, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8033661.\nAnswer: 3, 99181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -27.8. Let s = b - -4. Let i = s - -0.4. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002116379 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l - 24*l - 1040 = 0. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213133110 (base 4) to base 14.\nAnswer: 42d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4687.798 centuries to millennia.\nAnswer: 468.7798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (-76 - (-15 + -27)) - 39.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3\/10 + 349*j**2\/10 + 17696*j\/5 + 411906\/5 = 0 for j.\nAnswer: -158, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*t - 1 - 4, -i = 5. Let m = t + 0. Solve 2*y + 2 + m = h, 2*y = 5*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -22*f**5\/9 + 2459104*f**4\/9 - 8494754*f**3\/9 - 7824256*f**2\/9 + 943864*f + 596128 = 0?\nAnswer: -1, -6\/11, 1, 4, 111774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161029784 is divided by 431?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 2*a - 4. Let v be w(-2). Let b be (-14 + v)*(-1 - 0)\/2. Do b and -14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11605436 and -7247.14.\nAnswer: 11598188.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*u = 40 - 9, -2*x - 2*u + 22 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 346614*i**2 - 90105948747*i.\nAnswer: -i*(i + 519921)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.1 (c) -29.2 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3979\/3 - 1326. What is the third biggest value in -1.6, m, 3\/2, 11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -3 - 3\/15. Which is the biggest value? (a) z (b) -1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 1) + 124\/30. Let x = 0.06 - -0.03. Let h = x + 0.11. Sort g, h, 3.\nAnswer: g, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -6. Let n be 8\/((-120)\/(-27)) + 2\/10. Find u, given that -3*u**5 + g*u**4 + u**4 + u**2 + 3*u + n*u**4 - 7*u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 94151205, 188302401, 282453597, 376604793, 470755989, 564907185?\n\"Answer: 94151196*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 21*w + 22 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -o + 677, 5*o - 2656 - 743 = -4*j. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -9 - (4 - 2). Let r be (h + -2)\/(2 + (-159)\/84). Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-69)\/(-54))\/(-23))\/(4*11\/440).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/11 + 40*q**2\/11 - 184*q\/11 + 192\/11 = 0. Calculate q.\nAnswer: -24, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3*w**2 + 5307*n**3*w + 2*n**2 + 2*n*w - 11*n - 165*w**2 wrt n.\nAnswer: -12*w**2 + 31842*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -991 - -1291. What is the smallest common multiple of 35 and d?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 2*l + 3*l + l in the form y + t*l and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705*t = 1743*t - 304 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2550.5 - 2551. Let h be 8\/(-28) - 12\/7. Let r = 0 - 3. Sort h, r, j in ascending order.\nAnswer: r, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3795 or -1\/5?\nAnswer: -3795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) -2 (c) 9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1826713769?\nAnswer: 1826713769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249881?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuvkucguvugcggcvu. Give prob of picking 2 v and 1 h.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(27705\/7388)\/(1\/((-32)\/6))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 36 = -7*n. Let y be (1 - 2)\/(-2)*0. Solve y = -5*x + x + n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4659616, -4659617, -4659618, -4659619, -4659620?\nAnswer: -4659621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000296254323 rounded to 6 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77138317.\nAnswer: 1453, 53089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 4*b + 1. Calculate k(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 29, 156, 407, 824, 1449?\nAnswer: 2324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134995553 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 22*l + 32. Let h be p(23). Suppose -h*c + 4*c + 831 = d, -5*d - 327 = -2*c. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 83*k + 4. Does 34 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*75\/10. Suppose o*h + 0*h = -r + 31, 11 = r + h. Let q = 10 - r. Solve -2*z = -q*a + 20, z - 2*a - 2*a = -18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*o = m + 62, -120 = -4*m + 4*o. What is the least common multiple of 11 and m?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 4671111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r**2 + 117*r**2 - 37*r**2 - 39*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12898530?\nAnswer: 2, 3, 5, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-48)\/18*30\/(4 - 14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*p**2 + 55*p**2 + 77*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 383 by -2501.\nAnswer: -383\/2501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4956 + 29617\/6. Is m less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from iogiibigigg.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/9 - 50*c**2\/9 - 388*c\/9 - 880\/9 = 0.\nAnswer: -11, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, 1\/1315, 0.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170951297?\nAnswer: 11, 15541027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/97 - 1979\/19012. Calculate the common denominator of 85\/336 and g.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 1. Let q(n) = 7*n**3 - 31*n - 2. Let p(r) = -2*o(r) - q(r). Find the second derivative of p(j) wrt j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -106*d - 2. Let i be y(-1). Calculate the greatest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) -4 (b) -1 (c) 0.35 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 6*q**2 + 2*q - 12. Let v be d(-5). Suppose 2*a - 272 = -3*b + v, -2*a + 2*b = -260. List the prime factors of a.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1043 - 5524?\nAnswer: -6600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*u + 90, -5*q - u = -3*u - 240. Suppose -x + q = x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12441 - 4?\nAnswer: -12445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5534*k - 5672*k = 3553 + 173 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.3 - 18. Let v = -3 - -6. Let i = v - b. Round i to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24344 is divided by 24193?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3260 and 19\/2608?\nAnswer: 13040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -368. What is the biggest value in -2\/11, -3, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-7)\/(-105)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70867123 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c = -185 + 563. Solve -c*g + l = 4*l, -l = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 a when four letters picked without replacement from {c: 1, w: 6, d: 3, a: 5, s: 2, n: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 93e18?\nAnswer: 93e18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/80*(-20)\/4.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o - 94. Let x be h(8). Suppose -x*y = -2586 - 586. What is the greatest common divisor of y and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 + 283. Suppose -5*j + u = -0*u + 3, -5*j = -5*u + 15. Suppose j = -3*f + b + 155. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.096 - 23.656. Let x = 19.9 + 3.1. Let d = x + l. Round d to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6806.\nAnswer: 2, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 27*z**2 - 17*z**2 + 27 - 11*z**2.\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 - (-3)\/(-3)*-3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrgggtrtrggtggggw. Give prob of picking 4 r.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**3 + 257*f**2 - 130*f - 14. Determine l(28).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 4*t - 2*j, -2*j = -t - 1 + 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16457156 by 1.\nAnswer: 16457156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17052 divided by -5\nAnswer: -17052\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -111747\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-578)\/1734*(5 + 190).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2775 + 7158. What are the prime factors of j?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 7 = 2*w, -9*w - 3*z + 15 - 30 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 155906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2086 + 5419. What are the prime factors of u?\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6962 = 9*h + 6980 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -944, -946, -948?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 935761*y**3 + 2*y + 69314?\nAnswer: 5614566*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 109*z + 69. Determine f(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/1521 and 43\/9?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319870?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -2*j - 4*s + 24, -12 = 2*j + 3*s for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164691028 to the power of 1\/2, to the nearest integer?\nAnswer: 12833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 1. Let d(i) = 5*i - 2. Give -6*d(o) + 14*f(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 4:04 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -91, 0, -3, 3, -21.28 in decreasing order.\nAnswer: 3, 0, -3, -21.28, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 8*k - 456. Let a be (5\/2)\/((-1)\/k*-4). Suppose -4*w - a = -q, -5*w + 36 = -5*q + 436. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 194*(-2 + 28\/8). Suppose 1561 = 5*c + z. Suppose -3*k = -l + c - 85, -2*l + 3*k = -347. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -39*d - 226. Is 56 a factor of p(-102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 5*l. Let r be f(-3). Let c(d) = 1222 + d - r*d - 1213. Calculate c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502787?\nAnswer: 502787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13191 minus 50871.923?\nAnswer: -64062.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(874\/(-38))*(-23)\/184\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 24 = -72*x + 204 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/25*5\/(-9)*-3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 1080 - 1114 = 47*q + 2426 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -3\/20*y**5 + 0*y**4 + 0 + 0*y**3 - 2*y**2 - 3*y. What is the first derivative of k(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.12?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, y: 2, w: 5, z: 1}. What is prob of sequence wew?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 13 = -2*z. Let s = -39 - z. Let q = 29 + s. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/798*9)\/(5 - -1)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6 (base 15) to base 3.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9 + (-980)\/(-238)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*t - 35, -2*s + 5*s = 5*t - 37. Let i = 7 + t. Suppose -h = h - i. Solve h = x + 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*i - 82390 = 0, 4*l - 2*i + 50979 + 14915 = 0. Is 6\/39 - l\/52 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(6*(-1)\/(-4)). Let p(m) = -m**2 + 49*m - 383. Let s be p(10). Let h(w) = -10*w + 3. Let l(g) = -3*g + 1. Determine n*h(y) + s*l(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2 = 3. What are the prime factors of p + -2 - (-71 + 0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 + u**4\/4 - 3*u**3\/2 - 3*u**2\/2 + 9*u. Let d be w(4). Let o = 53 + d. Which is smaller: o or -15\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109132.\nAnswer: 2, 27283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/12*-2*2. Let i = 30 + y. Let g be (42\/63)\/(1\/24). What is the greatest common divisor of i and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/11045 and 157\/270.\nAnswer: 596430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-16)*6*6\/9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 3*h + 24, 5*k - 3*h - 13 = -7*h. Suppose 0 = k*j + 3*f - 3 - 2, f + 1 = j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/125 and -49\/31141.\nAnswer: 3892625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -6*sqrt(192)*1)\/(-1*sqrt(486)))**2.\nAnswer: 800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6756*s + 3563 + 3134 = -6867*s + 2257 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -57. Suppose -z = 11*i - 13*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*x - 86*x + 851*x**2 + 149*x + (3*x - 2*x + x)*(0*x - 3*x + x).\nAnswer: 847*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.52 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43948 greater than or equal to 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + -3d05?\nAnswer: -3cdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7151986 divided by 13\nAnswer: -7151986\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(2*h**4 + 3*h**2 - 3*h**2)*(-1077 - 1152 + 772) to w*h**2 + p*h + f*h**4 + s + j*h**3 and give f.\nAnswer: -2914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 6072.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3509 and 709456?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140) - (sqrt(140) + sqrt(140) + sqrt(140) + sqrt(140)*2 + sqrt(140)))\/sqrt(5).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 725.2244 weeks in milliseconds?\nAnswer: 438615717120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1657 = 737. List the prime factors of k.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 5:03 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 900127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 326?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 46 + 1540 = 0. Put 3, 2, u, -5 in decreasing order.\nAnswer: u, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8859 + 13523. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128470?\nAnswer: 2, 5, 29, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*6 + sqrt(77)\/(sqrt(11)*2 + sqrt(11)) + sqrt(7))**2 - (-5 + sqrt(343)*-1)**2.\nAnswer: -70*sqrt(7) + 20236\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1065550594 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, s: 6}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, x: 3}. What is prob of sequence xxxw?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37475440 rounded to the nearest one hundred thousand?\nAnswer: 37500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.4, -2\/3, -9606, -0.7 in ascending order.\nAnswer: -9606, -0.7, -2\/3, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2 - (1 - 0). Suppose l + 6 = 2*m, -37*l + 36*l - 10 = -4*m. Put -3, p, l, 3 in ascending order.\nAnswer: -3, l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468703?\nAnswer: 53, 122051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:23 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -27771, -4, 1\/3, 2\/7, -0.3, 2 in increasing order.\nAnswer: -27771, -4, -0.3, 2\/7, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**4\/12 - 5*p**3\/6 - 3*p. Let j be w(5). Suppose -t - 4*t + 5 = j. Which is bigger: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnoodocccdofoxcoc. Give prob of picking 2 f, 1 x, and 1 n.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4139 is divided by 318.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 0.18. Let u = 0.5 - h. What is the second biggest value in u, -1\/7, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-3))\/(115\/2875))\/(-5)*(-36)\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866357302.\nAnswer: 2, 137, 433, 15731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-11 - -14) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 20. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 - 3772*w**2 + 486764*w - 16988852.\nAnswer: 4*(w - 797)*(w - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-18) - (-218)\/(-2664). Let y = -2\/37 - s. Which is greater: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijz when three letters picked without replacement from jeeniiz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*(-1290)\/129.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 2 (c) -19 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/9779044 and -79\/8.\nAnswer: 19558088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15908 and 9676?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 124*c - 704. Let u be v(6). Solve 0*p + u*p + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.01 + -61.86. Let i = -42 - c. Which is bigger: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q - 8. Let j be k(-8). Let o be (21\/14)\/((-6)\/j). Let z be 2\/6 + 5\/o. What is the nearest to -1\/2 in z, 2, 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 2201, 4983, 8939, 14105?\nAnswer: 20517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 278437580 to the power of 1\/2, to the nearest integer?\nAnswer: 16686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -1.3. Let y = -2.1 + j. Let z = 0.42 + y. Round z to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 0 - 4 + a + 0 - 4. Let q(z) = z**2 - 6*z. What is the smallest common multiple of x(16) and q(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165072 + 157154 = -107*a for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40969297399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6\/13, 3\/7, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12640668?\nAnswer: 2, 3, 499, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187853471 and 169?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 - 16*n**2 - 7*n + 267. Let a be l(9). Solve -44*x - 58 = -a for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 354\/259?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -115036?\nAnswer: 115046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from gfxsgggggsgznfgf?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/9 + (-5)\/(-15). Let g(f) = -f**2 + f + 6. Let n be g(v). Is (0 + 3)\/(n\/62) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 8*x - 5. Let j be m(7). Let t = -70 + 71. Let i(f) = -f + 2 - j + 4 - t. What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 15*j**2 - 3*j - 22. Suppose -41*z = -132*z - 1365. What is v(z)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 12*b - 5. Let c(i) = 3*i**2 + 12*i + 4. What is -3*c(o) - 2*k(o)?\nAnswer: -o**2 - 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 20, -2*t + 4*r + 28 = -4. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + -4 + (5 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*u - 5*w, 115*u = 118*u + 6*w - 30 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175\/4 + -44. Which is the closest to q? (a) -0.1 (b) 5 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156 by 39.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4215 = -35*z - 4705 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138215.\nAnswer: 5, 7, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -244 + 243.8. Which is the closest to 0.2? (a) d (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -127, -218, -257, -238, -155, -2?\n\"Answer: m**3 + 20*m**2 - 158*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2478 - -241. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1606 - -37?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-63))\/((-258)\/(-9030))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108667.\nAnswer: 13, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9*3*-12. Let j = l - -4. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2304 and 6048.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20.3138 and 0.1.\nAnswer: 20.4138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose 0 = -m*y - y. Suppose o - 1 = y, 2*c = 2*o + 2 + 6. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1931195399 and -10.9.\nAnswer: -1931195409.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4160 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*o + 18 = -118, d = -2*o + 30. Let f(n) = 3*n**2 - 12*n - 1. Let l be f(5). Calculate the greatest common divisor of d and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.42 - -0.3. Let s = u + -0.88. Let c be (-18 + 21 - -13) + -76. Is c < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34977939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 3:10 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5322 + 9 = 198*j + 55*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54608 is divided by 39?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4)*(-36 - -36). Let l = -173 - -2597\/15. What is the fourth biggest value in -3, -1, l, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a0151 (base 12) to base 4.\nAnswer: -1233123031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/((((m*m**2)\/m)\/m)\/m))\/((m\/(m**1*m))\/m)**(-2\/11) assuming m is positive.\nAnswer: m**(-81\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + x + 0*x = -6, 2*w - 3*x = 16. Let s = -7 + 13. Let z = w - s. Let g(u) = u**2 + 5*u + 3. What is g(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 13. Suppose 5*v - 19 = 4*t - 0*t, 3*t - q = -3*v. Let m(f) = 3*f - 3. Give m(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5780624*f**3 - 15509137?\nAnswer: -17341872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 434 - 433.9998895. Round h to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two sevenths of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**3 + 4117*y**2 - 602*y + 8134. Determine d(588).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655725.8ml in litres?\nAnswer: 655.7258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/(-35)*357\/9 and 36\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241749 and 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w - 2357 = 4629. Let q = w - -528. Calculate the remainder when 47 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -662, -1155, -1666, -2189, -2718, -3247?\nAnswer: -3770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50003 + (5 - 3) + -3. Suppose 5*s - v = h, 0*h + 49992 = 5*s + 4*h. What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2328857\/13265 + 14\/1895. Let q = -176 + g. Which is the fourth biggest value? (a) -0.1 (b) 5 (c) q (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -8389349.\nAnswer: -25168047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**(-1\/3)*p)*p*p*p*p**(-2\/9)*(p\/(p**(2\/9)*p))\/(p\/p**(-6)) assuming p is positive.\nAnswer: p**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10994, -22006, -33018, -44030, -55042?\nAnswer: -66054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgzz. What is prob of sequence zg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 59. Let x be (-65)\/(-15) + 4\/q. What is the second biggest value in x, -3, -3.7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 6463.7.\nAnswer: -51709.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -2.51\nAnswer: 10.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*44\/12 + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 42*c - 37*c + 5 = 0, -5 = 3*p + 2*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1900 and -49\/519650?\nAnswer: 1039300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -1. Let p = c - 7. Suppose 3*y + 4*j + 48 = 165, -2*y + p*j + 64 = 0. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -226 + 229. Let r be -1*5 + (-1 - -1). Let u = -6.3 + 0.3. Which is the biggest value? (a) u (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10*r - 18 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7365004*m**3 - 33186*m + 7365001*m**3 + 33186*m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {z: 5, m: 2, u: 2, l: 1, i: 6}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3072, -0.037, -9 in decreasing order.\nAnswer: 1.3072, -0.037, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -11. Let z = 7 + l. Calculate the smallest common multiple of 6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30696541081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/147 and -64\/273?\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -22) + 12 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 1 + 581097*z**2 + 12 + 19 - 581094*z**2.\nAnswer: 3*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 11:51 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l + 44 = 19*l. Let m(f) = -f**2 - 11*f + 5. Let b be m(l). Let p be 2 + (0 - 3)\/(-3). Solve p*d + d = 2*o, -30 = b*o + 5*d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((-17 - ((-17 - -19) + -17)) + 102).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 15. Is 0\/(-1 - -2) + 529 + c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2656 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**5 + d**4*s**2 + 2*d**4 + 18*d**2*s**2 + 3*d**2*s wrt d.\nAnswer: 780*d**2 + 24*d*s**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*z + 108*z + 124 = 0. What is the least common multiple of 22 and z?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61.89 + -151\nAnswer: -212.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 4276574700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (270\/11907*21)\/((-6*4\/56)\/1)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 544.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 49*n - 458800000. What is n rounded to the nearest one hundred thousand?\nAnswer: -12400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*s, -14 = 15*h - 16*h - 9*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/10 - j**4\/4 - j**3\/3 - j**2\/2 - 19*j. Let c be (5 - 0)*6\/10. What is the tens digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myyy when four letters picked without replacement from {l: 3, m: 1, j: 4, b: 2, y: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -548, -1349, -2150?\n\"Answer: -801*v + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -516 + 516. Solve 4*c - 28 = -y for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.1 + 22. Which is the closest to -2\/7? (a) w (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6494245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 29*u**3 + 2*u**2 + 8*u + 7. Give d(-2).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-6 - (-3 + -4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 6*c - 2. Let j(f) = -f**2 + 7*f - 3. Let l = 298 - 264. Suppose -42*s + l = -25*s. Determine s*j(a) - 3*x(a).\nAnswer: a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 7*a**2 + 226*a + 1692. Calculate c(-7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-627*p**3 - 651 + 651)*(0*p - 2*p - 2*p).\nAnswer: 2508*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 11*t + 3. Let g be c(-11). Suppose -26 = -2*l - 4*b + 3*b, -g*b - 27 = -l. Solve 0 = -4*o - 2*k - 1 - 1, 5*k + l = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l - w = -8, -18 = -4*l - 3*w. Suppose 0 = -3*y + v + 106, 2*y = -l*y + 5*v + 160. What is the remainder when y is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:09 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -961 + 20971 = 5*b. Suppose -b = 29*n - 35*n. List the prime factors of n.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8507)\/15566 - (-10)\/215.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 6. Differentiate 1 + r + 0 - 5 + 2*f**2 with respect to f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v - v + 3*v + 1. List the prime factors of i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38936 - 26053. What is c rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -7. Let w = 20 - t. Suppose -4*p + 105 = 3*q, q + 2*q - 3*p - 105 = 0. Calculate the remainder when q is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -51. Let r be -5 + -2*(m + 4). What is the second derivative of 260*g**2 + 36*g - 260*g**2 + 12*g**r wrt g?\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(((sqrt(204)*-1 + sqrt(204) - sqrt(204))*5 - sqrt(204))\/sqrt(12) + -3 + (sqrt(17)*-2)**2*-3).\nAnswer: -4968 - 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(38\/7)\/b)\/(b**48\/b)*(b\/b**(-7\/6))**34 assuming b is positive.\nAnswer: b**(653\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9 - 1 = 0. Suppose 0 = -c + a*s, c - 4*s + 6 + 4 = 0. Suppose -2*t + t - 2*m = -10, -5*t - 5*m = -30. Solve t*l + 0 = -c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10 - -2)*1\/(-2) + -1 - -1. Solve -3 = 4*b - i*d - 11, d - 3 = -4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2425 + 2164.4. Let f = c - -261. Let l = 4 - 1. What is the smallest value in -3, f, l, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(5\/6)*i)\/i**(-22\/3) assuming i is positive.\nAnswer: i**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*13513.\nAnswer: -36485.1","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 187 = 21*s - 47 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15915 + -16084.51. What is j rounded to the nearest integer?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q + 69 - 69. Let k = 10 + -15. Let w(l) = 4*l + 5. Let i(v) = 4*v + 6. Let h(y) = k*i(y) + 6*w(y). Determine h(r(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.51 - 7.51. What is the third smallest value in 0.2, a, -10, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -28. Let f = -7 + s. Let u(t) = 2*t. Let r be u(-1). What is the second smallest value in -4\/7, f, r?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -2*k**3\/3 - k**2 + 2*k - 2. Let m be p(-3). Let j = 1 - m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 - -15?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -499 + 499. Suppose y = 228*j - 234*j + 30. Solve 0 = -4*s + j*h - 3, 0*s - 4*s + h = 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 41*a - 5334. Suppose a*d - 6524 = 120*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/11839, 0.4, 7, -61?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 10. Let q(r) be the first derivative of r**5\/30 - 141*r**2\/2 - 159. Let d(u) be the second derivative of q(u). Give d(h(i)).\nAnswer: 32*i**2 - 160*i + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/66 and -43\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144398, 148098, 154264, 162896, 173994?\nAnswer: 187558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5 and -1.92.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/57? (a) -0.72 (b) -5 (c) -19 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61\/780 - -11\/52. Which is the nearest to 2\/7? (a) y (b) 0.1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 2:29 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 11. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**2*i)**(-7\/2)\/((i*i**(-1\/4))\/i*i*i**(-13)*i) assuming i is positive.\nAnswer: i**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005363?\nAnswer: 3, 17, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 167725 * -4.\nAnswer: -670900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - p**2 - p + (-1 - 2*p + 1)*(0 + 0 - 2*p) + (5 - 7 - 4)*(-4*p**2 + p**2 + 2*p**2).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 + 9 - 9 + (u**3 - 2*u**3 + 0*u**3)*(7*u**2 + 7*u - 7*u) + 6*u**5 - 3*u**5 - 2*u**5 + 8*u**5 - 7*u**5 + 10*u**5.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*s - 14683, 4*y - 20308 = 3*s - 730. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from fxqkqkjjkssk.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14176 - -14176.5. Which is the second biggest value? (a) -5 (b) 4 (c) v (d) 2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996275320.\nAnswer: 2, 3, 5, 23, 120623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 8:36 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s - 78. Is 13*(s\/1 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1196 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31613.\nAnswer: 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8954058 is divided by 3024?\nAnswer: 3018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 239842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 1. Let s be l(3). Suppose -4*z = z - 15. Suppose v - z*v + s = 0. Let h(d) = 2*d**2 - 3*d + 1. Give h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1605462 is divided by 794.\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/3 - -13\/21. Suppose -t*h**4 - 2\/7*h + 0 + 2\/7*h**2 + 2\/7*h**3 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from {x: 7, z: 3, u: 1, j: 2, d: 3, s: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/1 - 15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 699 = -3*u - 2*u, u - o = 139. Let z = -66 + u. List the prime factors of z.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2219947 to the power of 1\/2, to the nearest integer?\nAnswer: 1490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 7*x - 39, -3508 = -3*x + 4*v - 3485 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14719 - -38?\nAnswer: 14757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = -x. Let g(f) = 3*f**2 - 1. Let n be g(1). Suppose n*d - 7 = -2*i + 7, -4*i + 23 = 3*d. Calculate the remainder when i is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -21*i**2. Let u(w) = -w. Determine z(u(t)).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/3 - 356*a**4\/3 - 8088*a**3 - 800176*a**2\/3 - 12860224*a\/3 - 26996736 = 0. What is a?\nAnswer: -64, -36, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 + 2. Give r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*w = 550 + 997 + 3509 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 8:51 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -43, 2, -31, 501 in ascending order.\nAnswer: -43, -31, 0, 2, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let d(l) be the second derivative of l**4\/6 + 13*l. What is o(d(u))?\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1876083 (base 9) to base 12.\nAnswer: 42a0a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 4, 20, 42, 70, 104?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - q - 467, q - 232 = -f. Let n(i) = -713*i + 236*i + f*i + 240*i. Let s(w) = -11*w**2. Determine s(n(x)).\nAnswer: -176*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -412, -3258, -10908, -25738, -50124, -86442, -137068, -204378?\n\"Answer: -396*v**3 - 26*v**2 + 4*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -10*k**3 + 12*k**2 + 9*k. Let g(r) = -r**3 + r**2 + r. Let p(v) = 44*g(v) - 4*j(v). Factor p(h).\nAnswer: -4*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 12*o - 31. Let t = 6160 + -6168. Calculate r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166766.\nAnswer: 2, 83383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 11*m - 4*s + 30, 60 = -4*m - 3*s for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 8*h - 25, 143*f - 40 = 147*f + 4*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvsvvvvvsvvvv. Give prob of sequence sv.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106239?\nAnswer: 3, 7, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-1))\/(0 + 1). Let l be -4 + (87\/9 - 36\/54). Solve g*x = -l*x + 25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17.2 (b) 1\/7 (c) 3\/14 (d) -0.4 (e) 2\/13 (f) -10\/7 (g) -1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17818 and 50434.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 41 = 3*w, -2*w = -5*w - 3*z - 6. Let s(h) = h**2 - 493*h - 488*h + 1479*h - 489*h. What is s(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -636 - -638. Let c = -0.6 - -0.9. What is the closest to a in c, -3\/4, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**3 - 1 + 1 + 2. Let z(d) be the third derivative of d**4\/24 - 3*d**2. What is z(r(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 8. Suppose 4*s = 7*s - 33. Suppose 0*p + 5*p = 2*m - s, -2*m - 4*p + 20 = 0. Calculate g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 2 - 2)*(0 + 1 - 3) - 3*d**3 + d**3 + d**3 + 10*d**3 - 7*d**2 + 7*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-140))\/((-9)\/(-21))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) + (sqrt(280) - 6*sqrt(280)) + sqrt(280) + sqrt(280))\/sqrt(8))\/(2*sqrt(847)))**2.\nAnswer: 5\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 4*o**2 + o**5 + (30*o**5 - 62*o**4 + 62*o**4)*(0 - 2 + 0) + (6*o + 14 - 14)*(0*o**4 + 0*o**4 - o**4) + 3*o**4 + o**5 - 3*o**4.\nAnswer: -64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -797 + 1028. What is the lowest common multiple of n and 264?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*d = -248*d - 5*j - 141, 3*j - 27 = 4*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 151*k**3 - k**2 - 4*k - 2. Calculate m(-1).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -30*h + 27*h + 4, -16 = -4*k - 4*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**6\/120 - z**5\/60 + z**4\/8 - z**3\/3 + 761*z**2 + 2. Determine w(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/((3*1\/(-8))\/((-326)\/1304))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 445219*a**3*z - 5*a**3 + 345683*a + 15*z**2 wrt z?\nAnswer: 445219*a**3 + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k - 23 + 14 - 14*k - 3*k**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-176142.\nAnswer: 352284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -0.0117449?\nAnswer: -4.0117449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b - 39. Let c be q(10). Let k(w) = w + 2. Let u be k(c). Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*y + 6 = 7*y, -4 = -2*b + 4*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133461337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -232*m**2*z + 2*m**2 - 95 wrt z?\nAnswer: -232*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 2*a + 5. Suppose 5*r - a = -4*h, -5*r + 3*h - 19 = 8. Let z = r - -6. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(12\/(-36))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 42*s + 403. Calculate m(-21).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(20) + sqrt(320)) - (sqrt(100)\/sqrt(45) - sqrt(20)))\/(sqrt(50)\/(-6*sqrt(10)\/sqrt(2))))**2 + -1.\nAnswer: 42631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 + 7)\/(4\/10). Suppose -12*p + 13*p + i = 0. Let o(t) = 5*t + 1. Let f(c) = 9*c + 2. What is p*o(k) + 3*f(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 69\/3 - -3. Let o(d) be the first derivative of 102*d**3 + 9*d**2\/2 - 7*d + 17. Let l be o(1). Calculate the highest common factor of l and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 5, 4, 1 in decreasing order.\nAnswer: 5, 4, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 120?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 209, 2\/7, 0, 1\/8, 3.296, 2\/3, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 12*b**2 - 8*b + 12. Let t be f(-11). Let d = t + 28. Is 7 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-21))\/(6\/(-72)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 2*n**2 + 6*n**2 + 3*n + 0*n**3. Suppose -69*q + 58 - 108 - 226 = 0. What is a(q)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.029 + -0.971. Let a = -1.3 - 10.7. Let d = -12 - a. What is the nearest to h in -6\/11, 2, d?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/135180 and 1\/54.\nAnswer: 405540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765858 = -59*n + 411296 - 361243. Is n a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 + 4*s - 8. Suppose -10*o + 2672 - 2612 = 0. Let j(l) = 9*l**2 + 5*l - 9. What is o*g(w) - 5*j(w)?\nAnswer: 3*w**2 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**7\/945 - s**6\/540 - s**5\/54 - s**4\/36 - 3*s**2\/2 + 12*s + 3. Let m(v) be the second derivative of w(v). Factor m(c).\nAnswer: 2*c*(c - 3)*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 29*u + 184. Give r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1364.051 times 3\nAnswer: -4092.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, w: 5}. Give prob of picking 1 w and 1 v.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 221\/17 + 68\/(-8)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49770\/28 - ((-168)\/16 - -10) is divided by 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 9*b**2 + 5*b + 41. Give l(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**2 + 145*l**2 - 2*l - 14*l**2.\nAnswer: 155*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8117, 2, 5, 10, 4, 122, -1 in decreasing order.\nAnswer: 8117, 122, 10, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2.21, -8\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 3) + 1 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19236649283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-53)\/(3180\/192) - 31\/(-5). Factor 18 + 18*l + 2\/3*l**x + 6*l**2.\nAnswer: 2*(l + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144214876 divided by 391.\nAnswer: 368836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 - (-1 - 2). Suppose 4*h + 40500004 = a*n + n, 1 = -h. What is n rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791071 to the power of 1\/2, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 0. Suppose i = 2*o - o - 7. Solve -2*q - q - 5*u + 3 = 0, 3*u + o = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -753*a + 9785. Give t(13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 4346019033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*(11\/(-9) - (-6)\/27)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 13*h**3 - 6*h + 10. Let p(r) = 12*r**3 - 5*r + 9. What is -6*p(v) + 5*w(v)?\nAnswer: -7*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.173 - -266806733109\nAnswer: 266806733108.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 5 - 13 - 31*v - 2 + 7*v. Let y be j(-11). Let m = 1 - -1. What is the greatest common divisor of m and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-50) - 29\/(-5). Suppose 0*h + 278 = 3*a - h, 0 = n*a + 4*h - 435. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100834.17 + 102948. Round u to the nearest ten.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281 a factor of 1030646470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382 = 254*m - 1396 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -172, -290, -304, -160, 196, 818, 1760, 3076?\n\"Answer: 9*k**3 - 2*k**2 - 175*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -1561 + 421. Let i be (-2)\/(-5) + d\/50. Suppose i + 19 = 3*l. Calculate the remainder when 24 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k + 2*k - 5*k)*(-2 + 2 - 3) - 149*k + 29299 - 29299 - k - 2 + 3 + 0 as q + v*k and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -5*l - 2*l - 2*l + 4 - 3. Let i be z(3). Let h = i - -77\/3. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 9) in base 8?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-2 - (-6 + -6 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - q + 6 = 0, -2*k + 3*q - 13 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 354 = -3*r, -r = -10*c + 6*c + 290. Calculate the greatest common divisor of 48 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29\/12, 0.06, 1784?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 27.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313807 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265\/3003 - 185\/91. Calculate the common denominator of 49\/285 and n.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. What are the prime factors of -4*(-2)\/r - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716591880 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7012, -13902, -20798, -27700, -34608, -41522, -48442?\nAnswer: -55368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 - 116180*t**2 + 464672*t - 464656 = 0. Calculate t.\nAnswer: 2, 29041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22578 and 54\/18815.\nAnswer: 112890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 3.093?\nAnswer: -2.4744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 955620960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900868.\nAnswer: 2, 225217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 320.5 + -321. What is the second smallest value in -2\/11, m, 1\/6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, r: 7}. What is prob of sequence rr?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67d - -5?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-100)*(-150)\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312099 is divided by 486?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 40655 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 522626 and -27280046.\nAnswer: -26757420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10958 is divided by 243.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adhdagaaaid. What is prob of sequence dhia?\nAnswer: 1\/528","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*f, 4*y - f - f = 64. Let k be 36\/y - (-2)\/(-5). Let n = 6 + k. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/4*(-48)\/(-3). Let g = 1\/335 - 8384\/3015. What is the common denominator of g and 3 + 7\/o*-14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -453 divided by -5.\nAnswer: 453\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017844 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 332\/13 - 3901\/195. What is the common denominator of -19\/9 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 649685 and 276895747.\nAnswer: 1384478735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s - 3. Let w(q) = q - 1. Let f(g) = -c(g) + 4*w(g). Let n = -285 + 283. Give f(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 14 = 0. Let r(u) be the third derivative of u**5\/30 - u**4\/3 - 5*u**3\/6 - 16*u**2. Is 14 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -400 + 648. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = v + 4*h, -2191*v - h - 19 = -2181*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -348*i**2 - 1\/5*i**4 + 102\/5*i**3 - 47096\/5*i + 0.\nAnswer: -i*(i - 58)**2*(i + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**6\/20 - 11*c**4\/24 + 11*c**2\/2 - 5. Let f(k) be the second derivative of o(k). Find the second derivative of f(v) wrt v.\nAnswer: -36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 17 = 3*y - 59, 3*u = -y + 38. Is 1333*1 + u + -8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-354)\/8 + (-50)\/(-200). Sort 6, o, -2 in ascending order.\nAnswer: o, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 times 9?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4 - 0. Let b be (-8)\/p*2\/(-4). Solve 0 = 2*o + 2*w + 2, 0 = b*o - w - 2*w + 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.9067523 micrometers?\nAnswer: 0.0000000009067523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 81661 + 5027 = 0. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 + 8*v - 6. Calculate the remainder when u(-6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 166 = 6*o + 16, -20*o + 61*o - 21*o + 140 = 16*o - 4*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 + -0.08. Let g be (-1 - 9\/(-2)) + -2. Let w = 0 + g. What is the nearest to -1 in 3, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165 - -264. Let q = p - 98.8. Let h = -4.04 - -0.04. Which is the biggest value? (a) q (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (66\/10 - 96\/(-240))*30\/7. Let q(p) = -5*p**2 + 150*p - 7. Give q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1883 and 741350281.\nAnswer: 1883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 58 = 5*c - 357, 2*c = -5*p + 427. Calculate the remainder when p is divided by 2\/(-4) + (-74)\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 720, -12\/17, 0.3 in increasing order.\nAnswer: -4, -12\/17, 0.3, 720","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1529 and -133\/9174?\nAnswer: 9174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -131461*j**4 + 80351*j**2 wrt j?\nAnswer: -3155064*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20040 + -1?\nAnswer: 20037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 less than -213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o - 5*s, -3*s = -5*o + 44 - 2. Let d = -29.9 - -30. Which is the closest to 0? (a) -4 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of (-1093400)\/(-160)*4 - (-2)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 - 6*d - 11. Suppose -3*k - 24 = -5*k + 2*h, h = -3*k + 20. Determine q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17473*y + 17470*y + f - 13, -3*f + 7 = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358998751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445163 (base 7) to base 6.\nAnswer: 1404025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5912256 divided by -32?\nAnswer: 184758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 966?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 1, r: 1, q: 1}. Give prob of picking 1 g and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(55)\/(sqrt(11)*2))**2)*4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*d - 2725 - 1739 - 1792 = -366 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/8)\/((-1)\/((-24830)\/(-15))). Let s = p + -430. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264067, 264062, 264055, 264046?\nAnswer: 264035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 495395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w + 18. Let d(j) = j**2 - 3*j + 9. Give 5*d(g) - 3*m(g).\nAnswer: 2*g**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -939 + 943. Let l be (-1)\/((-15)\/(-5))*3*-1. Solve d*f - l = 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j. Let r(p) = 18129*p**2. Give r(i(f)).\nAnswer: 453225*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 264*i + 723*i - 19632 = 162*i for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18359\/18 + -1019. Let l = 36 - 320\/9. Let q = l - v. What is the smallest value in -1, 3, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.75 - 1.65. Suppose -a - l + 1 = -2*l, -4*l = a + 19. What is the third biggest value in a, 4\/11, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-4))\/(-3)*2\/(-2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -r + 1 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -8. Suppose u*c = 3*c + 10. Suppose -4*s - 40 + 1 = -5*m, -m + c*s = -9. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1611595 by 5.\nAnswer: 322319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-9 - 4)) + -2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -458 - 10\/(90\/9). Are d and -458 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 2\/91, -234\/11?\nAnswer: -234\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*c**3 - 19*c**2 - 90*c**3 + c**2 + 18*c**2.\nAnswer: -57*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -9*t + 88. Calculate the lowest common multiple of 4 and v(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - 6. Let r = u - -8. Which is the smallest value? (a) r (b) -3\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 94, 44, -4.\nAnswer: -4, -1, 44, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {z: 7, j: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -o - 4, -3*o + 4*p = 9*p + 12. What is the fourth smallest value in o, 2\/17, -5, -3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40731, -82074, -123417, -164760?\nAnswer: -206103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t + 3*t**2)*(0 + 4 - 2 - 3 + 0 - 3 + (1 - 1 + 2)*(3 - 1 - 1) - 2 + 5 - 2)*(2 + 0 + 0) + (-3*t + t - 2*t)*(-4*t + t + t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -1516679.06\nAnswer: 1516678.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 10 - (-4 - -8). Suppose -212 = -z*w + 3*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 528*q - 2101. Give x(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -65, -89, -115?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218.47 - -98.86. Round u to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/15 + 224*r**3\/15 + 442*r**2\/15 + 44*r\/3 = 0. What is r?\nAnswer: -110, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 5.1. What is the second smallest value in b, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d + 10*d**4 + 64\/3*d**3 + 4\/5*d**5 - 155 + 0*d**2. Factor h(p).\nAnswer: 4*p**2*(p + 2)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -6594*o - 8987. Let g(b) = -19778*b - 26976. Let q(u) = 5*g(u) - 16*t(u). Differentiate q(z) with respect to z.\nAnswer: 6614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1232*y - 95723 + 95723 as c*y + t and give c.\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from mgmhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*i**3 + 707723 - 707723.\nAnswer: -582*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 12. Suppose 8*t = 5*t - 27. Let n be b(t). Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23341 is divided by 23257?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 + 12 = 4*r, 0 = 5*r - w - 22. Solve 23 = 4*b + l, 0 = -r*b + 2*l - 5*l + 34 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 4, 2, -1 in ascending order.\nAnswer: -1, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 34339336 to the power of 1\/2, to the nearest integer?\nAnswer: 5860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-418)\/22)\/304*(252\/(-2))\/(-7).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 3. Let n = 4 - -3. Let c be k(n). Calculate the common denominator of -23\/4 and (3\/24)\/(c\/(-124)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - -171. Suppose 0 = 4*k + 51 - y. Suppose 5*n = -0*d - d + 36, 2*n + k = 4*d. What is the remainder when 30 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 105485\/8 and 13186 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -165, -477, -791, -1107, -1425?\n\"Answer: -n**2 - 309*n + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 135377*y. Let j(p) = -14*p. Determine t(j(i)).\nAnswer: -1895278*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 4 + 0)*((0*j + 2*j - j)*(0*j + 0*j - 2*j) + j - 13*j**2 + 3*j + 4*j**2) as z*j + k*j**2 + f and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnnanbnb. Give prob of picking 2 n and 1 a.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -73 (c) 310 (d) 0.1 (e) 2 (f) 0 (g) 1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878595 is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p - 10*p**2 + 75*p**2 + 7*p. Let z be f(-1). Let b = 106 - z. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -20. Let h(x) = -x**2 + 4*x + 3. Let r be h(p). Find the second derivative of 0*y - r*y + 4*y - 2*y**2 wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**(-7)*((h\/h**(-2))\/h)**(-45))\/((((h*h**1*h*h)\/h)\/(h*(((h\/h**(4\/7))\/h)\/h)\/h))\/(((h**(2\/9)\/h)\/h)\/h)**(-46)) assuming h is positive.\nAnswer: h**(2974\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5*-1 - 0)*10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (884\/65)\/(4\/10). Suppose 0*o - q = -2*o - 4*b, -2*o + 4*b + 10 = 0. Calculate the smallest common multiple of 1 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613 - -19.91?\nAnswer: 8632.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-5 - sqrt(50))\/(sqrt(50)\/sqrt(5)*-4 + sqrt(10)).\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08 - -0.22. Let v = -22 - -21.9. Let p = 10 - 5. What is the closest to v in b, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20334 (base 6) to base 11.\nAnswer: -2055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 4\/30*507. Let s = -65 + m. What is the nearest to -0.1 in 0.5, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) - (-110)\/4. Suppose -n + 7 = -3*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**6 + 6*b**4 - 719*b**2 wrt b?\nAnswer: -360*b**3 + 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 6*x + 4. Let z be g(-6). Let v be z\/6 + 46\/3. Solve 5*q - v = 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((44\/(-33))\/2)\/(2*2\/(-12)). Let w be ((-28)\/105)\/((-2)\/5). Let z be (-1 - (-4)\/(-6)) + 2. What is the third smallest value in u, w, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4034, 4084, 4132, 4178?\nAnswer: 4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(119)\/(sqrt(7) + (sqrt(7) - -1*sqrt(7))*3) - (-1 + (sqrt(2057) + -1 + sqrt(2057))*-1)**2.\nAnswer: -8228 + 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (119138\/(-355))\/(1\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 5:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {d: 2, i: 1, y: 1, o: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 3:57 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21014 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 + 1. Let z be f(-4). Let k = 67 + z. Let h = -21 - k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -l - 3, 3*u + 10*l = -u - 30. Determine m, given that 0 - 2\/11*m**4 + u*m + 2\/11*m**3 + 0*m**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7839270 is divided by 876?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-5 + sqrt(405))**2) + (sqrt(5) + 4)*5.\nAnswer: -410 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + (sqrt(68) + (sqrt(68) + sqrt(68) + 0 - sqrt(68)))*-6)**2.\nAnswer: 720*sqrt(17) + 29451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 4*x**2 + 2*x + 6. Suppose -2*j - c = 3*c + 4, j - 2*c + 6 = 0. Let n be r(j). Let d = n + 5. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13092078.\nAnswer: 2, 3, 89, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75853578*d**5*x - 74627*d*x + 190*x wrt d?\nAnswer: -1517071560*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1257*d + 2*d**3 - 1255*d)*(3*d + 0*d - 2*d) to w*d + v + i*d**4 + r*d**3 + b*d**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 2.1. Let h = 21.2 - 3.2. Let b = h + -19. What is the third biggest value in b, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f + 77*f**2 + 145*f**2 - 37*f**2 - 27*f**2.\nAnswer: 158*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 3\/8 (c) -4 (d) 1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682 = -2553279*g + 2553310*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -486 - -492. What is the greatest common divisor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 z when three letters picked without replacement from hqqhqmchquzhmqhz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 33 + (12 + 7 - 3) + -5.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247690 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**(-16)*q\/(q*q**(-1\/2)\/q)*q*q*(q**(-2\/21))**(-1\/8) assuming q is positive.\nAnswer: q**(1807\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 8*i - 20*i - 3*i + 0*i + 5*i + 3*i - 4*i - i + (0*i - 3*i + i)*(3 - 1 - 4) to k*i + d and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 383, 437, 491?\n\"Answer: 54*p + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 5*b + 660 = -b. Calculate the highest common divisor of 870 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j = 7*j - 10752. What is the highest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(4\/5)\/t)**(-3\/20))**(-3\/8))**(-4\/5))**40 assuming t is positive.\nAnswer: t**(-36\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.5 (b) -3\/5 (c) -3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2. Let m(r) = -r**2 - 2*r + 1. Let n(p) = -182*p**2 - 416*p + 208. Let x(w) = 624*m(w) - 3*n(w). What is x(t(q))?\nAnswer: -312*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 239649.\nAnswer: 3, 17, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001101011111010 - 101111101?\nAnswer: 11001100101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/2*(0 + -24). Let g = 18190 - 18178. What is the highest common divisor of f and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 36 (b) -5\/2 (c) -1\/5 (d) -6 (e) 0.4 (f) 2 (g) 84\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -22. Let y = s + 5. Find the first derivative of 20*r - y*r + 13 + 22*r wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(4)*-1 + (((sqrt(2) - (-1*sqrt(162) + sqrt(162))) + sqrt(2))**2 - sqrt(2)).\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 15*k - 26*k - 13*k - k**2 - 4 - 2. Let q be -15*(-5 + (64\/6 - 5)). Is x(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-11 - (2 + -11))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 2:41 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 7*v**2 + 7*v - 1. Let i be n(3). Let m be 105\/i*8\/(-3). Let y(q) be the second derivative of -q**3\/6 + 5*q**2\/2 - q. What is y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8599\/4 - 2168. What is the common denominator of w and 53\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2752 + -4151. Let f = -629 - j. What are the prime factors of f?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -232*n**2. Let x(s) = -67*s - 692. What is x(j(w))?\nAnswer: 15544*w**2 - 692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -6) + (16 - -1). Let x = t - 1. Let v = -3610 + 3690. What is the highest common divisor of v and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 102189, 101151, 99423, 97005?\n\"Answer: -345*t**2 - 3*t + 102537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*l + 38 = 0, 6*l - 3*l - 67 = -5*p. Let o = p - 9. Let j be o + 1 + 80\/(-24). Is j >= -0.019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4360, -8758, -13194, -17668, -22180, -26730, -31318?\nAnswer: -35944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/13275 and 56\/24075.\nAnswer: 1420425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -0.5, -10\/3, 2\/11?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4847438*p**2. Let i(q) = -14*q**2. What is i(s(r))?\nAnswer: -328967172293816*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1296*o**3 - 3*o**2 - 23*o - 15.\nAnswer: 7776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 - 622 = -68*k + 315 + 1128 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**3\/3 - 9*v**2\/2 - 7*v + 2. What is the remainder when 20 is divided by i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21831595 is divided by 368.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273.471 - -274.271082. Let c = -1.5 + 0.7. Let n = c + h. What is n rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uppuuuuu. What is prob of sequence pppu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 41.39 (b) 1 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1 + -24 + (8 - -15)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4571324 minutes to nanoseconds.\nAnswer: 27427944000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -147. Let s be (2\/15)\/((-3)\/(-5)). Which is the closest to r? (a) s (b) -0.5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 5*v**2 - 5*v - 4. Let a be n(6). What is the third derivative of 3*b**4 + 0*b**2 + b**a - 6*b**4 wrt b?\nAnswer: -72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 585 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 11*z + 1. Let g(s) = 33*s + 4. Let r(u) = -2*g(u) + 7*j(u). Let y = 619801 + -619803. Determine r(y).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370790.5nm to centimeters.\nAnswer: 0.03707905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1\/4, 30444, -2\/9, -4 in ascending order.\nAnswer: -4, -2\/9, 1\/8, 1\/4, 30444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.2 + -80. Let i = -8.4 + -1.6. Let c = b - i. Put 4, 2, c in descending order.\nAnswer: 4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3\/27 + 80*q**2\/9 + 104*q\/3 - 548. Factor y(d).\nAnswer: 2*(d + 2)*(d + 78)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4198)\/(-3) + (8\/(-3))\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-4)*1)\/((-297)\/(-36)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 1.710446.\nAnswer: -2.2235798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/4*h**4 + 0*h - 1\/3*h**3 - 3 - 5\/2*h**2. Let d(x) = -2*x**3 + x**2 + 9*x. Determine 3*d(b) + 5*u(b).\nAnswer: -b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -3*n - 4*o - o - 61, -5*o = 3*n + 41 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70.8349 * 788.\nAnswer: 55817.9012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1448899 and 3157?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 374*a**2 + 47*a + 7. Is m(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 26 = -s, 0*h + 2*s = -4*h - 2*s + 8 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + 4 - (2 - -12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = y - 4*x, -5*y + 2*x - 17 = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*p - 38*p - 524 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 3*m + 2. Let u(s) = s. Let g(f) = k(f) + 2*u(f). Determine g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 + 8*i + 4. Let m be w(6). Let o = 1 + 4. Suppose o*v = 3*f - 17, 0*f + f = 2*v + 6. What is the highest common divisor of m and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9363220021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n + 3. Let v be o(-2). Let p = 11 + v. Let q = 94 - p. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/7 - 9640*d**2\/7 + 27493*d - 490620\/7.\nAnswer: (d - 9620)*(d - 17)*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 268*g**3\/3 - 33794. Let j(x) be the first derivative of x**2 - 1. Determine j(z(m)).\nAnswer: 536*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 42 = -2*s + 2*s - 2*x, -4*s + 7*x - 54 = 63 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:51 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.003621 - 34\nAnswer: -33.996379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*((-1224)\/(-36))\/34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 184*g**2 + 7*g + 31. Is l(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 53, 75, 97, 119, 141?\n\"Answer: 22*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117075619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -4, 5, -3.64, 4\/7?\nAnswer: -3.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(384) + sqrt(384))*4)\/(sqrt(48)\/(1*sqrt(6) + sqrt(6))).\nAnswer: 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 5*x**2 - 6*x + 4. Let n be h(6). Let d(f) be the third derivative of -1\/60*f**5 + 0*f**4 + f**2 + 0 + 1\/3*f**3 + 0*f. What is d(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {n: 4, s: 3, b: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = z - 4*q - 18, 2*q - 46 = -4*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -387, -1449, -3553, -7047, -12279, -19597, -29349?\nAnswer: -41883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 948a (base 11) in base 9?\nAnswer: 18206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-11 + -19 - -9) + 25 - (-30 + 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*d + 178 = 0, -o - 84 = o - 4*d. Let c = -40 - o. What is the remainder when 22 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1641649055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 246*i**4*v**2 - i*v**2 + 6*i - v**2 wrt i.\nAnswer: 2952*i**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5127 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 4 = -4*s. Suppose 0 = x - 5*l - 20, s*l + 94 = 2*x + 30. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -10, -4*q + 2 = 2*f - 0*f. Let s(x) = -x**2 + 4*x - 1. Let d be s(q). Find the third derivative of -3 - 2*y**d - y**4 + 3 wrt y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkssikuuikuuuiuiu. Give prob of picking 1 k, 2 s, and 1 i.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5589, -5387, -5185?\n\"Answer: 202*f - 5791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 602 * -0.5.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(156\/8))\/((-36)\/(-81)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-33))\/((-1)\/12). Let a be 70\/v + (-4)\/(-8). What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 8:07 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 85*c - 593. Let i be u(7). Solve 0 = 4*l - 5*x - 25, 6*x - 5*x = -i*l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let p = -3\/62 - -219\/682. What is the common denominator of (-6)\/c*38\/4 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/3)\/((t\/(t**6*t))\/t*t))\/(t*t\/(t*t**(-1))*t)**(-9))**(-50) assuming t is positive.\nAnswer: t**(-4900\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*d + 66 = -106*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 506214023 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49512933 and 18369.\nAnswer: 643668129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1712289 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from pukpckckckkkckkkk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 234*i - 95*i = -316 - 7893, 122 = -2*p - 2*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 + -0.04. Let x = 0.0499952 + j. Round x to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(4 - 0) - 1. What are the prime factors of 29\/((-4)\/(a - 1))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 + -51 - -15) + -2 + (-33 - -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42122721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 + 43*q + 1270. Is 63 a factor of p(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20\/27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -2\/233, -102\/11 in ascending order.\nAnswer: -102\/11, -2\/233, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/5493359 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -15*q**2\/2 - 2. Let u be s(14). Let o be (u\/8)\/(3\/(-80)). Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 11*t - 10. Let o = -2 - -4. Suppose -o*b = 2*b - 28. Let i be c(b). Calculate the greatest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by (-970)\/(-582)*468\/10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 + 5*q**3\/6 - 5*q**2\/2 - 2*q. Let c be f(-6). Which is smaller: 1\/7 or c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -201\/4 smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*(-108)\/8. Which is bigger: -8 or o?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -38*x - 34. Calculate b(0).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -1\/15*x**5 - 1\/2*x**2 - 125 - 7\/9*x**3 + 0*x - 5\/12*x**4. Suppose q(i) = 0. What is i?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 7*w**4\/4 + w**3\/2 - w**2 + 19*w. Let s be o(1). What is the greatest common divisor of s and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -927505.\nAnswer: -24\/927505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5624650 and 23506?\nAnswer: 39372550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-3))\/((-4)\/((-48)\/6)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 17 + m - 18.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dcdrrc. Give prob of sequence ccrr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 71, 101?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1169 + 12867\/11. Let 5\/11*u**3 + o*u**2 + 4\/11*u + 0 + 1\/11*u**4 = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-3) - (4 + -86). Let x be (-1 - 9)\/(2\/(-4)). What is the greatest common factor of x and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1\/7 (c) -5 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1527 - 18bc4?\nAnswer: -1769a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l = 137 + 37 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + ((-2 - -1) + 2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g - 26*g**2 - 2 - 13 - g**3 + 16*g**2 - 6*g. Let r be m(-10). Let b(s) = s**3 - 6*s**2 + 6*s - 7. Calculate b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.02*-1.31583\nAnswer: 5.2896366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -256441.1773 to the nearest 1000.\nAnswer: -256000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2848, 5681, 8452, 11161, 13808?\n\"Answer: -31*x**2 + 2926*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 93*k**2 + 14. Let h(i) = -i**2 - 2. Let s(r) = 7*h(r) + o(r). Let n(x) = -3*x. Give s(n(m)).\nAnswer: 774*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 211?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565488423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000227341 to 7 decimal places.\nAnswer: 0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/30 + 74\/6. Let s = n - 11. Suppose s*r = r + 6. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18557 and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**(-1\/4)*x*x)\/x)\/x*x\/(x*(x\/(x*(x\/x**(1\/10))\/x))\/x*x*x*x)*x)\/(x\/x**(-2\/3)*x)**(-2\/15))\/((x*x\/x**1*x)**22)**(-41) assuming x is positive.\nAnswer: x**(324811\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 219? (a) -9 (b) -1\/3 (c) -17\/3 (d) -29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(637))**2 + (0 + sqrt(208))**2 + ((0 + sqrt(325))*3)**2 + 3.\nAnswer: -14*sqrt(13) + 3774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41475 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3784 (base 13) in base 3?\nAnswer: -101210221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 1424*b + 2840.\nAnswer: 2*(b - 710)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(6)\/sqrt(3) + 3 - ((sqrt(2) + -1)**2 + 1)) + -4 - (4 + (-1 + sqrt(242) - (sqrt(4)\/sqrt(2) + sqrt(2))*-2) + -1).\nAnswer: -11*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of 1\/30*j**5 + 0*j + 0 + 0*j**3 + 0*j**4 + j**2. Let i(y) = 4*y. Calculate f(i(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.054637 + -0.05273. What is b rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18374 - 11724. Round j to the nearest 100.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1811 - 1488. Calculate the remainder when n is divided by 75.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171 or 169?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 550 = 1884. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*g + 16, 5*g + 0*c - 30 = -5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000122033168 rounded to seven decimal places?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 725360, 725204, 725048?\n\"Answer: -156*o + 725516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 3. Let u be c(-2). Let n be 330\/u - 4\/6. Suppose 151 = -11*q + 547. What is the greatest common divisor of n and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25281 divided by 2809.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76537?\nAnswer: 76537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -27920?\nAnswer: -27922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - 7564\/(-183))\/(18\/(-1215))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oouu when four letters picked without replacement from {o: 5, u: 15}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39105 - -62660. What are the prime factors of q?\nAnswer: 5, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(3\/7)\/y)\/y)\/y)**50\/(y**(-10\/9)*y**(-7\/5)*y) assuming y is positive.\nAnswer: y**(-24274\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0754762 centuries to millennia.\nAnswer: 0.00754762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 140*m - 147*m + 56 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 16*c. Let p be d(1). Let g(k) = -k**3 + 163*k**2 + 1038*k - 3592. Let o be g(169). Calculate the highest common divisor of o and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q + 10. Let g(s) = -68*s. Give g(u(k)).\nAnswer: -1700*k - 680","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 8, u: 4, f: 1, v: 4, n: 2}.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -454*q + 3302. Let w(t) = 2*t**2. Calculate k(w(g)).\nAnswer: -908*g**2 + 3302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - m - 3*t = -2, 5*m - 203808*t + 203803*t = -60 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/11, 1.3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + p = -5, 0 = 2*y + 7100*p + 7097*p - 14198*p + 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -576.32 - -576. Put 0.4, 3, c in descending order.\nAnswer: 3, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74421\/10 - 7454. Suppose -5*j = -j - z - 15, z - 6 = -3*j. Calculate the common denominator of s and j*42\/27 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.6556\nAnswer: 0.3278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-12\/11)*(r**(-19)*r)\/r assuming r is positive.\nAnswer: r**(-221\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, p: 1, m: 2, h: 3, u: 4}. Give prob of sequence hum.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/9 (b) 5 (c) 394\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 47a (base 13) to base 9\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/7*5\/(-60))\/((-368)\/138)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 + 919674*c - 281933422092.\nAnswer: -3*(c - 613116)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i = -j + 1, -i - 5 = 2*j. Let x be ((-12)\/(-21))\/(j\/2609). Let k = 747 + x. Find the common denominator of k and -76\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + 5 + -3 + -3*(-1 + sqrt(1100)) + -5*(0 + sqrt(1100))))**2.\nAnswer: -20480*sqrt(11) + 1127424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23743693 a multiple of 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a factor of 203744814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -2231?\nAnswer: 17848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 5*j - 17 = 0. Let q(g) = 1 - 6*g**2 + 3*g**2 + 3*g**2 + 2*g - 2*g**2. Determine q(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s**3 - 98*s**2 - 37*s - 105. Is p(-17) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 282614 - 282478.127. Let v = 136 - j. Round v to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*c + 22, 3*l - 1655*c + 1654*c = -77. Let k = -1 - -0.9. What is the nearest to 0 in k, l, -5, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaiaaaa. What is prob of picking 2 a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 1863*b\/2 - 3738.\nAnswer: 3*(b - 1246)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 76 = -88. Suppose 0 = -2*y, -b*y - y = 4*h - 796. What are the prime factors of h?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*n - 73. Let h be (3\/2)\/(n\/10). Suppose 1 = -i - 4*v + 2, -i + 3*v = -h. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13385, 10094, 6805, 3518, 233, -3050, -6331?\n\"Answer: j**2 - 3294*j + 16678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001101 + 100001100101010?\nAnswer: 11111100011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 26, 33, 40, 47, 54?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 4*g - g)*(37 - 37 + 2*g + 4*g**2).\nAnswer: -8*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 86541 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d = 517092 - 518948 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 392 - 24*c**3 + 15*c**3 - 523 + 10*c**3 + 17*c**2 to the form d*c**3 + k*c + l*c**2 + o and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**5 - 976*h**4 - 45336*h**3 + 51248*h**2 + 234620*h + 139008 = 0?\nAnswer: -181, -64, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:20 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*k - 24*k - 17*k + (0*k + 9*k - k + (-4 + 4 + 2)*(0*k - k + 3*k) + 1 - k - 1)*(-12 - 6 - 3) to the form x*k + n and give x.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (19 + -20)\/((-2)\/(-10)). Which is the smallest value? (a) 3\/2 (b) -4\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqerqqrqqnnreqrqn. Give prob of sequence nnq.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -61*p + 64*p, 5*n - 3*p = 19. Solve 3*g - 8*g + 5*z - 40 = 0, n*g + 48 = 7*z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16311683 to the power of 1\/2, to the nearest integer?\nAnswer: 4039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 62*k + 244 = 67*k, m - 4*k - 87 = 0. Which is greater: m or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 2*a + 91*a**2 - 97*a - 21 + 14*a**2.\nAnswer: 105*a**2 - 99*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6133701?\nAnswer: 3, 7, 292081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 55, 55, 57, 61?\n\"Answer: h**2 - 5*h + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 0.03. Which is the third biggest value? (a) 1 (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*t + 5, -3*f + 0 + 10 = t. Suppose 5*z - 179 = z - i, 3*z + f*i = 130. Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 11 + 13. Let k(r) = -r**3 - 3*r**2 + 4*r + 4. Let d be k(-4). Suppose 4*z + 2*j - 16 = -0*j, 3*z - 26 = -5*j. Solve -d*b + z = -s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v + 5 = 0. Suppose v*y = 3*y - 8. Let n = y + 6. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**3 + f**2 + 0*f**2 - 5*f**3 - f**3. Let c(h) = -30*h**2 + 15*h**2 + 16*h**2 - h**3. Determine -c(u) + t(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/2 - 146*r**4 + 21315*r**3\/2 + 146*r**2 - 10658*r = 0. Calculate r.\nAnswer: -1, 0, 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxpc when four letters picked without replacement from {x: 3, y: 4, g: 1, p: 1, c: 5}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5125.000002716 + 5125. What is o rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h**2 - 64945*h - 64940. Calculate o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 8 = 2*w, 0 = -9*k + 4*k - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 4*l**3\/3 - 126*l**2 - 3256*l + 6111. Factor x(z).\nAnswer: 4*(z - 74)*(z + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.2 + -2. Let i = b - 0.8. Let z = -2.400095 + i. What is z rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 2. Let b be x(3). Let q = -1701 + 1700.6. What is the second smallest value in 1, b, q, -28?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 5*k**2 + 3. Let f be c(-5). Suppose -n + f*r - 1 = 0, -r + 0*r = -4*n + 29. Is (-269)\/(-4) + (-2)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 11\/(-14))*2. Let m = -76 - -61. Let x be (-6)\/9 + (-7)\/m. Which is the smallest value? (a) j (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = 6*t + 1563. Let l = 307 - t. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 82, 80, 78, 76?\n\"Answer: -2*p + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 5. Let k(g) = -3 - g + 1 + 2*g - 3*g. Let d be k(a). Solve -2*b + 5*c = d*b - 16, -2*b - c = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -2, -24, 774, 1.\nAnswer: -24, -2, 1, 2, 3, 774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6*1*0. Suppose -2*h + 6 + 2 = v. Suppose h*f - 900 = -2*f. What is the highest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d*f**3 - 195*d*f*i + 18*d*i*v**2 - 2*f**3*i*v**2 - f**3*v - 3*f*v**2 + 386*v wrt d?\nAnswer: f**3 - 195*f*i + 18*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 217944493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5 = -2*q, 4*s = 939*q - 942*q + 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 + 23. Let w be l(0). Let r = w - 21. Suppose r*j - 62 = 236. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q + 0*q + 2*q + 0 - 1. What is the remainder when 1 is divided by b(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503917483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 13. Let d = 3 - k. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -112*y + 3*y + 9810. Solve -y*d + 83*d = -21 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 13*o + 16. Let m be q(-16). What is the highest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 547068067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462 + 520 - 1471 - 10*u + 485.\nAnswer: -10*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 + 4 + 5 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -15\/4, -2\/35, -0.14?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 13139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -23 (b) 1 (c) -0.18 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14 + (-34)\/6)*18. Solve 9*q + 21*q - d = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7714*y + 732837. What is o(-95)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6 = -14. Suppose -8*p + q*p - 206 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 591 + 1689*l**2 - 3*l**3 - 3397*l**2 - l + 1709*l**2 as q*l**2 + j*l + x + b*l**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2558752*l**4 + 1380*l**2 + 16 wrt l.\nAnswer: 61410048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(135\/12)*(-51)\/(-510)*135.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78758.\nAnswer: 2, 53, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 12 = 0. Suppose -3*r + 4*o = -10, -2*r - 4*o = -t*r + 8. Factor 4*k**3 - 8 + 4*k**2 + 4*k**2 - r*k**2 - 6*k**3.\nAnswer: -2*(k - 2)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z = 26*z - 6 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -21. Let s = 25.6 + t. Sort 0.3, -9, s, -1.\nAnswer: -9, -1, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*h + 7*h, h = -5*v - 13. What is the biggest value in 0.3, -0.0129, -3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57748.444 rounded to the nearest one hundred?\nAnswer: -57700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1999766?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5)*(-5)\/5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from xjxxjj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-16)\/4)\/(8*(-196)\/3024*-9)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 11*b**3\/3 - 13*b**2\/2 - 47*b - 37. Is m(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 68, 1896 in increasing order.\nAnswer: 29, 68, 1896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 902 >= -935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -536a778?\nAnswer: 536a773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 1:57 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**3 - h**3 - 2*h**4 + (-5*h + h + 2*h)*(0*h**3 - 2*h**3 + 0*h**3) - 5001 - 1627*h**4 + 5001.\nAnswer: -1625*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/3 + 473*r\/3 = 0. What is r?\nAnswer: 0, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j + 62 = -242*j + 606 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166*u + 128 wrt u.\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 4*b - 56, -54*b = -d - 50*b - 8 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1233403890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 464, 1865, 4204, 7487, 11720, 16909, 23060?\n\"Answer: l**3 + 463*l**2 + 5*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4*m = -0*t + 68, -3260*t = -3255*t - 10*m - 170 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*f**3 - f - 149*f**3 + 42 + 94 + 2 to the form q*f**3 + y*f + i*f**2 + d and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 3. Suppose -27 = -3*a - 3*m, 0 = -0*a + a + 2*m - 9. Is j(a) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**7\/630 + i**6\/60 - i**5\/15 + i**4\/9 - 11*i**2\/2 + 15*i. Let m(o) be the first derivative of q(o). Factor m(g).\nAnswer: -g*(g - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(-2) + (-1)\/2. Suppose 0*x = a - 4*x + 20, a = k*x - 24. Let o be a\/(-14) - 12\/(-7). Solve -4*s + 22 = -y, o*y + 3*y - 15 = -5*s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o - 81. Does 16 divide d(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-3 - -44) - 3. Let o be (-12)\/20 + f\/30. Let u be (-39)\/15 + (-6)\/(-10). What is the closest to o in -1, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77429741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + 1*(-2*sqrt(104) + sqrt(104)) + sqrt(104) + sqrt(104))\/sqrt(8).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100697\/(-4985) - 1*(-18 - 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 14 (b) -1\/15 (c) -0.5 (d) -0.2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 5. Let z be g(2). Let w(r) = -6 + r - 1 + z*r + 3. Let m = -701 + 706. What is w(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 196*w**2 - 3*w + 3. Let u be n(1). Suppose 3*z = -z + 4*k + u, -3*z = 4*k - 154. 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: Suppose -13*v + 9*v + 8 = 0. What is the smallest common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43688.\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*((sqrt(132)*2 + sqrt(132) - sqrt(132)) + sqrt(132)))\/(-3*(sqrt(12) - 2*sqrt(12))*-4).\nAnswer: -25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003787 rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1268 + 1286. Solve v*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 12:15 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-179)\/537)\/((-13)\/(-2301)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q - 260 = 16 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*n + 1260 = 19557 + 14365 + 9719 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32 - 0 - 36\/6. Calculate the highest common factor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:24 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044107571 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -19\/35 (c) -74 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.37 + -4.37. Which is smaller: -1\/5 or y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 35*x - 39. Let f(s) = 20*s - 40*s + 19*s. Let r(n) = -3*f(n) + p(n). Find the first derivative of r(k) wrt k.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-649)\/847*-7 - (-3)\/(99\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 69. What is the remainder when 18 is divided by p(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u + 7. Suppose 2*q + 0*q = 0. Let g be v(q). Suppose -g*s + 220 = -3*s. Calculate the highest common divisor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*x = 57*x - 75183. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8375683 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 3. Let b = a + -1. Let t(n) = 3*n**2 - 5*n - 6. Let c be t(-1). Sort c, b, -4 in increasing order.\nAnswer: -4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 288*p**4 + 18375*p**3 - 22368*p**2 + 3705*p = 0.\nAnswer: -65, 0, 19\/96, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2\/3, 3\/2, 51\/4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63895 - 20028. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*c**3 - 713*c**2 + c + 24966?\nAnswer: 48*c**2 - 1426*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1001721\/2 + -500841. Solve f*g - 3\/4*g**2 + 81\/4 = 0 for g.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 2*s**2 + 4*s - 3. Let c be a(3). Suppose c = -4*p - p + 20. Solve 5 = d + 3*f, 2 = p*f - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49619*a**2 - 3*a - 3*a - 14*a**3 - 49618*a**2 to o*a**3 + q*a**2 + d*a + m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 341433039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**5\/90 - 5*m**4\/108 + 2*m**3\/27 - 20*m**2. Factor w(f).\nAnswer: -2*(f + 2)*(3*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/396 and 41\/4479255.\nAnswer: 17917020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 5*x - 15. Let h(l) = -l**3 + l - 3. Determine b(q) - 2*h(q).\nAnswer: -q**3 - 7*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -0.6?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/26)\/p*p**(-17)*((p*p**(1\/13))\/p*p)\/p**1 assuming p is positive.\nAnswer: p**(-467\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 2*j + 11. Let k(q) = -q + 1. Let l(s) = -f(s) + 5*k(s). Let m(x) = -5*x**2 - 6*x - 5. Calculate -6*l(b) + 7*m(b).\nAnswer: b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 + 12 + -10 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1309949251 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 + -1 + -6 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**2 - 625 + 625.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + (-20 - 37 - -56).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 14.95. Let d = 0.25 + n. Which is the third biggest value? (a) 3 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*1 + 6\/(-2)*-1. Let s(r) = r**2 - 1. Let o(i) = -16*i**2 + 12. Let p(v) = a*o(v) - 12*s(v). Let u(y) = 8*y. Determine p(u(b)).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - 100. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -118 + 102 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28810 is divided by 2878?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(4)\/sqrt(2)).\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2) + -4 + -7 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 14*q + 4. Calculate n(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4119 = 2*s - 4124, -4*s + 3*t + 7 = 0. Let c(u) = 6*u**2 - 18. Let g(b) = b**2. Determine s*g(w) - c(w).\nAnswer: -2*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r**2 + 5*r - 4. Let f(l) = 9*l**2 - 6*l + 5. Let k(m) = 4*f(m) + 5*z(m). What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 22802*y**2 + 25*y - 26. List the prime factors of s(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -18 + 30 - 18 - d**3 + 7*d + 6*d**2 - 29. Let x be l(6). Solve 0 = -3*i + x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152988 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + -9 + (-3 - -13). Suppose 0 = x - 2*b + a, -4*b = 5*x - 21 - 9. Solve 0*y - 5*y + 8 = 4*g, -x*g + 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7828, 15658, 23488, 31318?\nAnswer: 39148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 17*k + 35. Let q be i(-15). Let t be (1*-3)\/((-1)\/1). What is the second derivative of 3*m**q - m - 3*m**3 + 4*m**t - m**3 wrt m?\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**3\/6 - 3*w**2\/2 + 6*w + 24. Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/3, 13 in decreasing order.\nAnswer: 13, 4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/1533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*l = -316 - 94 - 122. Solve 4 = -l*a, 4*n + 3*a = -1 - 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(850)*-2*-5 - sqrt(850)) + sqrt(850))*4)\/((sqrt(4)*2*-6)\/(sqrt(72)\/sqrt(4))).\nAnswer: -50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3321, -6731, -10183, -13677, -17213, -20791, -24411?\n\"Answer: -21*o**2 - 3347*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 91*z + 209. Calculate a(-5).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2 (c) 2\/3 (d) -296 (e) -476\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*g + g - 255, -265 = -5*i + 3*g. Find v such that -110*v + 2*v**2 + 33*v + 49*v + i + 48*v = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1479, 0.07, 2?\nAnswer: -1479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihaahafnhfa. Give prob of picking 2 f and 1 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*p + 963*p + 325*p - 435*p - 425*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1778)\/441 + (-92)\/(-2898). Let z = -4 - -4.4. Sort -2\/19, -0.1, r, z in ascending order.\nAnswer: r, -2\/19, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {k: 2, b: 2, p: 4, h: 1, g: 1, i: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*z = -84*z + 168*z + 74749. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1. Let s(u) = 2*u + 2. Let t(x) = -2*c(x) + s(x). Let w(l) = 2*l + 6. What is w(t(v))?\nAnswer: 4*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*u - 87*u = -46908. Let h = u - 46954\/9. Find the common denominator of 54\/7 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18860 divided by 205.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*i)*(-3*i - 4*i + 3*i)*(-3*i - 5 + 5).\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*i = -378, 3*z - 4*i - i = -380. Let m = z - -270. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:48 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 50020737\nAnswer: 2\/50020737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4379 - 4379. What is the fourth biggest value in -0.07, -17, -4\/5, -0.3, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 218*i**2 - 7*i - 218*i**2 + 1 - 18*i**3 - 3*i**3 + i**2 - i**2 + (2 + 2*i**3 - 2)*(0 + 1 + 0).\nAnswer: -19*i**3 - 7*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 410*m**2 - 211*m**2 - 68*m**3 - 199*m**2 + (m**3 - 2*m**3 + 3*m**3)*(-1 - 1 + 3).\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + k + 6. Let q be n(0). Suppose 11 = -q*v + 5. Let o be (16\/(-18) - -1)*2. Which is the second smallest value? (a) o (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 o when three letters picked without replacement from pjoaq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 442423005 (base 6) to base 16\nAnswer: 798cad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11868 to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*o + 2477, i + 3091 = 6*i - 2*o. Let b = i + -615. Suppose -g + 6*g = 90. Solve g = -3*t - b*q, 4*t - 2*t + 17 = -3*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from kvlvolkvdkklk.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 1027 = -0*m. What are the prime factors of m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31447388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 188*n - 208. Is z(4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**2 - 47 + 47 + 15*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526950, 1053899, 1580848, 2107797?\nAnswer: 2634746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(99) + 5*-1*sqrt(99) + sqrt(99))\/((sqrt(81)\/(sqrt(9)*-2 + sqrt(9)) - sqrt(9)) + sqrt(18)\/(sqrt(32) + sqrt(2) - sqrt(2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255109.5mg in micrograms?\nAnswer: 255109500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -198e91 (base 15) in base 12?\nAnswer: -50079a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 2*l**7\/105 - l**6\/6 + 2*l**5\/5 + 2*l**4\/3 - 16*l**3\/3 + 15*l**2. Factor a(o).\nAnswer: 4*(o - 2)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 24. Put -0.06, -4, n in descending order.\nAnswer: n, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/3 + 1\/12. Which is the nearest to d? (a) -1\/9 (b) 1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1011889.759 to the nearest one hundred.\nAnswer: 1011900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r - 345 + 347. Suppose -2*x = -4 - 6. Solve -x*c + 0*c = -o - 16, c + r = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 329 + -296. Suppose -5*q + 5*d + 40 + 85 = 0, 0 = q - 3*d - f. Calculate the highest common divisor of 77 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7007174771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 1, 0.786 in descending order.\nAnswer: 1, 0.786, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**3 + 14*a**2 + 17*a - 28. What is the tens digit of y(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110 + -322320102?\nAnswer: -322310332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.5256244 and -3.\nAnswer: -121.5768732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34098.45 milligrams in kilograms?\nAnswer: 0.03409845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.294865 millilitres in litres?\nAnswer: 0.004294865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -219 + 2?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 16*o - 4. Let k be (5 + (-1)\/(-3))*-3. Determine t(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.08009145 and -4.\nAnswer: -8.08009145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 681673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192) + sqrt(192) + -4 + 2*(sqrt(192) + -1))**2.\nAnswer: -192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072573*n**2 - 1073125*n**2 + 2145699*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 134. Calculate the smallest common multiple of d and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/13 - 23\/(-1196)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u**3 + 300*u**2 - u. Let c(f) = 71*f**3 + 1502*f**2 - 5*f. Calculate 2*c(b) - 11*y(b).\nAnswer: -b**3 - 296*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/22, -5\/2, 5, -0.05, -10, -95, -2\/9?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -147 or -148?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7620174 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 81*w - 10*w**2 - 390*w + 81*w + 84*w + 71*w + 70*w.\nAnswer: -13*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289974*z**3 - 192833*z + 192833*z.\nAnswer: 289974*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -206, -466, -820, -1262, -1786?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-10) - 168\/35. Let a(c) = 8*c**2 + 7*c - 14. Let h(q) = -7*q**2 - 6*q + 13. What is f*a(p) - 7*h(p)?\nAnswer: p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 58422.23 millilitres?\nAnswer: 58.42223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -17*v**6\/6 + v**4\/12 + 76*v**3 + 342*v. Find the second derivative of z(k) wrt k.\nAnswer: -1020*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1247*h*m**3 + 2*h + 11*m**2 + 1374 wrt m?\nAnswer: 3741*h*m**2 + 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*t + 297*l**2 - 1139*l*t**4 wrt t?\nAnswer: l**2 - 4556*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 5. Suppose 21 + 4 = -5*s. Is j(s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -3, 17, 1, -4 in increasing order.\nAnswer: -4, -3, 1, 17, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g + 182. Let w(o) = -o**2 + 2*o + 3. What is -t(b) + 2*w(b)?\nAnswer: -2*b**2 - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - v - 2. Let w be n(2). Let p(d) = d - 1. Let x be p(w). Let k(i) = -x*i + 5*i + 2*i. Let a(h) = 2*h. Give a(k(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = -v + 20*u + 191, -5*v + 987 = 4*u. Calculate the greatest common factor of v and 30845.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Find the second derivative of -6*u**3 - u - 9*u + 2*u**s wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 4*c - 4, 34*a = 30*a - 2*c + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 16) in base 14?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbalabaaaaaalalbabag. Give prob of picking 3 l.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 228, -3, 2, -2, -5 in descending order.\nAnswer: 228, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63490833 and 186921?\nAnswer: 190472499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000305 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52303, 104323, 156343, 208363, 260383, 312403?\n\"Answer: 52020*w + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 + 3. Let r = -1 - m. Let q = -6 - -6.3. What is the third smallest value in q, r, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -88. Let u = 9 + -5. Suppose -2*x + o*x + u*m + 1174 = 0, -590 = -x + 3*m. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100232 and 3656488?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22542\/5 + 3\/5*p**3 + 3519\/5*p - 36*p**2 = 0. What is p?\nAnswer: 17, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/20 + 5*k**4\/6 - 3*k**3\/2 - k**2\/2 - 89*k - 2. Suppose -16 = -0*l + 2*l. Is h(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*c**2 - 1634*a*c*k**3 + c**2*k**3 + 3676*c*k**3 with respect to a.\nAnswer: 2*c**2 - 1634*c*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-26)\/(-39))\/(8\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - (3 + -2)) + 11 + -8. Let g be (12\/(-144))\/(19\/(-9) - d). Factor -3*m**3 + 9\/2*m**2 + 3\/4*m**4 - 3*m + g.\nAnswer: 3*(m - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/594)\/((-78)\/(-38181)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442337641 rounded to the nearest 100000?\nAnswer: 442300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -15*l**2 + l - 309. Determine h(0).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2432*a = -1172*a - 1174*a - 172 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -20222?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*t = 7*t - 31, -3*j + 5*t - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 10. Let q(g) = 0 + i*g - 3 + 2. Let u be -2*(-4)\/(4 - -4). What is q(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (((sqrt(684))**2 + sqrt(19))*-5 - sqrt(19)) + 5).\nAnswer: -20520 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -334*t - 15575. What is b(-47)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*-2*1. Let s = 4 + v. Let q = s - 0. Solve 0 = 4*u - q + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011001 - -1?\nAnswer: -10011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 48. Suppose 0 = 45*s - 32*s - 2535. Calculate the remainder when s is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62 + 63. Let c = -0.8 - 0. Let q = g + c. What is the third smallest value in 2, -2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8831281279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -322 + 1014. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 10*b - 8*b. Let m be 2\/334*(-14)\/(-7). Which is smaller: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 (base 3) in base 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*n - 3200 = 4723 + 87 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 3*y = 7*y - 2, 5*o = -5*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 2*q + 11 + 92*q**2 - 192*q**2 + 96*q**2 as d*q + c*q**2 + g*q**3 + j + a*q**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1176 = -1181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f**2 - 12*f - 30. What is the lowest common multiple of p(-2) and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4116, -4118, -4120, -4122?\nAnswer: -4124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 413 - 1282. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by ((-204)\/68)\/(0 + (-2)\/18).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkfnufvuki. What is prob of picking 1 v and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-22)*(1\/3 - -1). Let h be (-60)\/(-25) + y + 2\/(-5). Which is the second smallest value? (a) 2\/17 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5198*r + 5204*r = 10357*r - 630 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1176)\/637*(-7 + -6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k - 19. Let n be m(-5). Suppose a - n*x = -x, -a = 5*x. Put -28, a, -3 in ascending order.\nAnswer: -28, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, a: 1, o: 2, h: 1, m: 1}. What is prob of sequence am?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(45)*2 + -4*((sqrt(80) - (sqrt(80) + 1)**2) + sqrt(80))).\nAnswer: 108*sqrt(5) + 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y + 4*y**3 - 4*y - 692 + 694 to a*y**3 + k + r*y**2 + l*y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 90)*10\/3. Suppose -x = 6*j - 1230. Is j a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1068 and 2478116?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 46*i**2 - 142*i - 32. Let r(x) = 13 + 0*x**2 + 57*x + 0*x - 28*x**2 + 7*x**2 + 3*x**2. Let d(b) = 12*r(b) + 5*t(b). Let d(q) = 0. Calculate q.\nAnswer: -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*r - 20 = 6, -12 = -4*k - 5*r. Put 10, -5, k in decreasing order.\nAnswer: 10, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + g - 2*g)*(-3 - 1 + 5)*(76 + 60 - 102) as t*g + f and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (23 + -7 + -25).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, -4, 22, -6\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 236074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1167*(-10)\/(-15)*-1. Let n = p + -781. Which is the fourth smallest value? (a) -7 (b) n (c) -1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 41531 - 1529*l**2 - 41531.\nAnswer: -1524*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.4, -1\/3, 14, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168*m**2*x + 18*m*x - 3*x wrt m?\nAnswer: 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46941692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2*r**6\/15 + 24*r**5\/5 + r**4\/3 - 16*r**3 + r - 52. Factor u(s).\nAnswer: -4*s*(s - 24)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let b(o) = -o - 21. Let g be b(-12). Let j be y(g). Solve 3*c + 0 = -j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i - 9. Let u = -264 - i. What is the remainder when 47 is divided by (-3)\/((-18)\/4)*u\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/21*b**2 - 36\/7 - 106\/21*b.\nAnswer: 2*(b - 54)*(b + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 1041*y**2 + 467456*y.\nAnswer: y*(y + 512)*(y + 3652)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + -6*sqrt(180) + sqrt(180))*-1.\nAnswer: -1 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 7 = f - 0*f, -5*f + 5 = -3*i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let j(v) = -3*v. Calculate c(j(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p + 1. Calculate the remainder when l(1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*f - g - 33, -4*f - 2*g = 68. Which is bigger: f or -16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 455157.\nAnswer: 3, 103, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2754, 0.05, 523?\nAnswer: 2754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223242241 + 0?\nAnswer: -223242241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -249297750.9783 - -249150329. Let c = n - -147385. Let p = c - -37. What is p rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)\/sqrt(81) + sqrt(57))\/sqrt(3) + sqrt(57)\/(sqrt(15)\/(sqrt(5)*-1)) + 3)*1.\nAnswer: sqrt(19)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 139*s**2 - 77*s**2 - 95*s**2 - 5*s + 4*s in the form x + n*s + g*s**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43898903 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 100 - (-6)\/2 - -2. Let s be (2\/10)\/((-6)\/15)*-42. Calculate the highest common divisor of a and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24860104*o**3 - 13239345*o.\nAnswer: 149160624*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -14. Suppose 31*b - 28*b - 26 = -2*u, 0 = -2*u - 5*b + 38. Put 13, z, u, 3 in increasing order.\nAnswer: z, 3, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67564.\nAnswer: 2, 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**5\/9 - 2*j**4 - 50*j**3\/3 + 170*j**2\/9 + 24*j - 8 = 0. Calculate j.\nAnswer: -3, -1, 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 3:55 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 - -59.06. Let p = 0.08 + -0.02. Let s = p - m. Which is the biggest value? (a) s (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6818024 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - k)*(-1144*k + 1843*k + 2242*k) to f*k**2 + r*k + u and give f.\nAnswer: -2941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -31247 (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4658 = 202*g - 2008 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -543846 - -543797.8226. Let r = v - 0.0226. What is r rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48685.8814 rounded to the nearest 10?\nAnswer: -48690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/21 + 2*i**2\/7 + 10. Factor p(v).\nAnswer: v*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 40*v**4 - 216*v + 50. Differentiate i(c) wrt c.\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(8 - 6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/5, -5, 4\/3 in descending order.\nAnswer: 4\/3, 0.5, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 106*g**2 + 95*g**2 + 62*g**2 + 3*g.\nAnswer: 263*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 3732.\nAnswer: 1\/933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 18*j**3.\nAnswer: -2*j**3*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 229 = 4*k - 113, 16*s = -2*k + 428 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, a: 1, k: 3, z: 2, h: 3}. Give prob of sequence hhk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**0*f*f)**(-1\/5)*f**(2\/15)\/(f\/(f**8*f)) assuming f is positive.\nAnswer: f**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + q**4 + 4*q**4 + (-7 - 1 - 9)*(2*q**3 - 6*q**3 + 2*q**3)*(2 + 11*q + 2 - 12*q) as m*q**4 + w*q**2 + k*q**3 + r*q + b and give k.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-3)\/d)\/d)\/(d\/d**(-4))*(d*d**(-1\/3))**28)**(-25) assuming d is positive.\nAnswer: d**(-650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.084, 6\/5, 5?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8082\/(-39512))\/((-6)\/8)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45311 is divided by 148.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from sbssssurgrkkkbs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 842.\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 67787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 + 3*p**2. Let s be ((-20)\/(-8))\/(11\/22). Let i(k) = -2*k**3 - 4*k**2. Give s*c(q) + 4*i(q).\nAnswer: 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 375*h - 420*h - 155*h)*(h**3 - 3 + 3) as b*h + z*h**4 + q + t*h**3 + x*h**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. What is the second smallest value in -0.4, j, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3485672 - 1995439. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a**3 + 128*a + 7*a**3 - 132*a - 2*a**2 + 3. Give h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - t + 1)*(2*t + 0 + 0)*(1 + 2 + 0)*(-10 - 6 - 13)*(-t**2 + 4*t**2 - 4*t**2).\nAnswer: -174*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5036.943 litres in millilitres?\nAnswer: 5036943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4 - -3) + 5. Suppose 5*z = 3*s + 7 + 8, q*z - s = 12. Let f = 5 + -9. Sort f, z, 10 in descending order.\nAnswer: 10, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 10*z**2 + 4. Let x be n(-10). Suppose 0 = -2*w + 6, x*o + 2*w + 3*w = 23. Solve 0 = 5*u + y - 29, 2*y = o*u - 2*y + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irr. What is prob of sequence ir?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:54 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11064, 8543, 4344, -1533, -9088, -18321, -29232?\nAnswer: -41821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 + 3*i**3 - 246938*i - 247039*i + 493977*i.\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose z + 6 = 4*z + 3*n, j = 5*z - 3*n - 10. Suppose 2*x + 3*h - 70 = 0, -5*h - 84 = -z*x - h. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3286 - -3285. Put y, 67, 2 in increasing order.\nAnswer: y, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185502333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 2. Let b(k) = -k**2 - 12*k - 29. Let h be b(-5). Let v be 28\/(-21)*h\/4. Let g(r) = 16*r + 7. What is v*g(q) - 7*a(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -8. Let f = -2 + c. Suppose -66 = -5*v - y, 5*v - 3*v - 20 = -2*y. Calculate the smallest common multiple of f and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -452116 and 0.5?\nAnswer: -226058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jff when three letters picked without replacement from dfkfj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eivveo. Give prob of sequence eie.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-2\/3)))\/p**5)**(-24)*(p\/p**(-8))\/(p\/p**(-6)*p)*(p*p*p*p*p**(1\/2))**(-2\/61) assuming p is positive.\nAnswer: p**(8348\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - 4 + 4)*(-486*l**2 + 244*l**2 - 2 - 3*l + 236*l**2).\nAnswer: -6*l**5 - 3*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 65.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*c - c = 10, -c - 7 = -5*f. Suppose 12 = 2*a + 2*a + k, -12 = -4*a - f*k. What is the smallest common multiple of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - 370?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.12649 + 45.02649. What is w rounded to 1 decimal place?\nAnswer: 44.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 4*b - 5*d, 9*b - 4*b + 95 = 5*d. Let p(s) = s**3 + 16*s**2 - 18*s - 7. Is p(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1657*f + 1. Let r(j) be the first derivative of -3*j**2\/2 - 14924. Calculate r(i(d)).\nAnswer: -4971*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, c: 2, k: 8, h: 2, y: 2}. What is prob of picking 2 h and 2 y?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 4:36 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 7*k + 8. Let t be f(6). Let b = 2 + t. Suppose b*h - 3*h = 443. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*s = 542*s - 219901 - 302315. What are the prime factors of s?\nAnswer: 2, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2325\/(-5580))\/(5\/(-8))*(0 - 105).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70776 and 1144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*-0.23\nAnswer: 0.0184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3 + 569194*d**2 - 1138382*d + 569190 = 0.\nAnswer: 1, 284595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5256\/1080 + 4\/30. Suppose -3*u = v, -34 = -4*v - a*u - 6. Suppose -6 = 2*f - 4*f. Solve m - v = -f*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -123, -126, -129, -132, -135, -138?\n\"Answer: -3*x - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvdjkkdkkjkkd. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0404733 to four decimal places.\nAnswer: 0.0405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15*63\/(-3150))\/((-2)\/25)*1\/(-10)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + o + 132, 4*g + g - 220 = 4*o. 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 m(n) = 2*n + 3. Give m(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**3 + 5*z**2 + 5*z + 12. Let j(k) = -12*k**3 - 4*k**2 - 4*k - 13. Let s(g) = -5*j(g) - 4*y(g). Differentiate s(t) with respect to t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -15. Let k(r) = 8*r**2 - 19*r**2 + w*r**2. Let s(f) = -7*f. Determine s(k(a)).\nAnswer: -49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 8*m = 21. Solve 2 + 2 = m*q - 5*p, 0 = -3*q + 4*p + 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbqbbbqbbqqbbbqbqb. What is prob of sequence bqbb?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/8 + 25*i**3 - 443*i**2\/8 - 3975*i\/4 - 1818 = 0. Calculate i.\nAnswer: -202, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34438 - -34437. Let a = -0.7 + 2.7. What is the closest to h in -0.1, a, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306361345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 13) to base 8.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:00 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-25) + (-4)\/(-10). Let u be 6 - g\/(-2)*2. Suppose -u*t - 2*p + 1 = -3, -5*t = -4*p - 31. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1596 (b) 5 (c) -3 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/120 + 10\/25. Factor -1\/3*r**2 + 1\/3*r**3 - 1\/3*r + g.\nAnswer: (r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486762 less than -9998.65?\nAnswer: -1496760.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q. Let g(s) = -s**2 + s + 1. Let f be (-3 - -4)\/((-3)\/3). Let y(a) = -12*a**2 + 3*a + 3. Let v(x) = f*y(x) + 3*g(x). Calculate v(j(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.01604934 - -6.016. What is p rounded to 7 dps?\nAnswer: -0.0000493","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456148 to the power of 1\/2, to the nearest integer?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/9 + -2\/9. What is the nearest to m in -2\/3, 1, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5233 or -57561\/11?\nAnswer: -5233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 10. List the prime factors of ((-1)\/(-1))\/((-3)\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*g - 3*g + 38 = 0, 2*c - 24 = 2*g. What is the greatest common divisor of 90 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((609\/(-6))\/7)\/((-2)\/(-4)). Let t = -22 + n. Let k = 62 + t. Calculate the lowest common multiple of 2 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9600 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -2)*(30634\/5406 + (-6)\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -30*b**3 - 449*b**2 + 6*b - 117. Let h be z(-15). Suppose -g = 5*y - 11, -14 = 3*g - 4*g - 2*y. Solve -h*f + g = -14*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - -4) + 438\/(-84))*68\/(-51).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 divided by -73?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 divided by 10?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -5114678?\nAnswer: 5114684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 232502405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 9*n**2 - 68 - 63 + 178 - 82 + n**2.\nAnswer: 8*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 9. Let o be y(0). Let l = o + -9. Which is greater: -1\/10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 869 and 3981205?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -3\/7 (c) 0 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 z when two letters picked without replacement from uuzuuuuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2608*c - 924*c = -134962 + 22134 for c.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 1. Let t(h) = -3*h**2 + 5*h. Let k(j) = 4*j**2 - 6*j. Suppose -5*b + 1 - 21 = 0. Let a(l) = b*k(l) - 5*t(l). Calculate a(g) - s(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.077 (b) 128\/139 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let u be m(1). Suppose u = y + 5*c - 6, c + 1 = y - 5. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129647280?\nAnswer: 2, 3, 5, 7, 77171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/(1062\/24))\/((-8)\/(-14)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + 9. Suppose -4*g = -3*g - 8. Suppose 0 = -5*p - g + f. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**5\/3 - 5*v**4\/6 + 5*v**3\/9 + 5*v**2\/3 - 20. Factor z(h).\nAnswer: -5*h*(h - 1)*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1471 + -2863. Let o = 1395 + x. What is m in -8\/3*m**o + 4\/3 - 4\/3*m**2 + 2*m + 2\/3*m**5 + 0*m**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448412 = -2*b + 3*g, -39*b + 38*b = -5*g - 224227. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396448793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 65*p - 761. Give s(11).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 116*u**2 + 63*u - 15. Let y(x) = -61*x**2 - 32*x + 8. Calculate -7*f(n) - 13*y(n).\nAnswer: -19*n**2 - 25*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 40*u + 50. Let j(v) = -v**2 - 27*v - 33. Let s(z) = -7*j(z) - 5*l(z). What are the prime factors of s(-12)?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwdewwdssds.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10077.4949837 + 10077.5. What is r rounded to 4 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence za when two letters picked without replacement from gglgnlzllagnglgal?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g + 13*g - 6*g + (5 - 1 - 3)*(0*g - g + 2*g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-294)\/(-140) - 2\/20. Let o(i) be the second derivative of -7\/15*i**3 + 0 - 1\/6*i**4 + 4*i - 2\/5*i**s. Factor o(t).\nAnswer: -2*(t + 1)*(5*t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13239787.189 - -13230357. Let d = f + 9468.8. Let i = d - 0.111. Round i to the nearest integer.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25*2)\/((10\/5384)\/(-5)). What is z rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6 + 344\/129. Solve -2*x - 2 = z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -35949 in descending order.\nAnswer: 11, 1, -35949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 64\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 5:45 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 20 = 0. Let x(u) be the third derivative of u**5\/30 - 5*u**4\/24 + u**3 - 5*u**2 - 11. What is the tens digit of x(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3860 - 1224. Suppose 7*c + 642 = m + 4*c, 4*m - r = -5*c. List the prime factors of m.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5399 and 2.\nAnswer: -10798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 1\/3*g**3 + 9\/2*g**2 + 174 + 4*g. Let c be (-8)\/6*(-9)\/(-2). Determine i(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428703862 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: Calculate the highest common factor of 729113 and 137683.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:20 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 - 15 = 0. Let f be (18\/27*j)\/(1 - -9). Which is the closest to 9? (a) -2 (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6461 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080927577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - 11 - -14 - (-13 + -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2159987?\nAnswer: 31, 69677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 288?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 2*r + 3*h + 2, h + 10 = 3*r. Suppose -8 = -r*v + 2*v. Let i be (-2 - -1)*6\/2. Sort -2, i, v in ascending order.\nAnswer: i, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3 + 3006034*p**2 - 3006040*p - 6012072 = 0.\nAnswer: -1503018, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1146 and 59401?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1209 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17627 divided by -3\nAnswer: 17627\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30636 + 31212. Calculate the highest common divisor of u and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65662 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4 - 65*s + 42*s + 3*s**2 + 35*s. Let d be t(-4). Suppose -3*i = 5*n - 33, -d*n = -9 - 3. Calculate the remainder when 11 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 27. Let o(w) = -255*w - 2. Let k be o(-1). Calculate the highest common divisor of k and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66231835, -66231834, -66231833?\n\"Answer: r - 66231836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y, 8 = 3*h - 3*y + 2. Let j(u) = u + 4. Let m be j(-4). Suppose -h*b + 5*f + 19 = m, -1 = -2*b - f - 2. Are b and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3958040 (base 12) to base 16.\nAnswer: aca730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*r = -j + 19, 0 = 2*j - 5*r + 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48087*k**4 - 225*k**3 + 31290192*k**2 wrt k.\nAnswer: 1154088*k - 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17696722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*8\/6*363\/1936. Which is greater: 2\/5111 or v?\nAnswer: 2\/5111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -160 - 1\/2*c**4 - 344*c - 417\/2*c**2 - 25*c**3 = 0.\nAnswer: -40, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:35 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-468)\/(-169)*78\/12\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09 + -0.11. Let p = 0.1999995 + m. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-14))\/(r\/(r*r\/(r**(-2\/7)\/r))))\/(r**(-3\/8)\/r*r*r*r\/((r\/r**(-6))\/r)) assuming r is positive.\nAnswer: r**(1213\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/4428 and -37\/81.\nAnswer: 13284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 16*u**2 + 17*u - 10. What is the units digit of m(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, p: 3}. What is prob of sequence pp?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488366 is divided by 6127.\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33363530 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-45)*36800\/2944.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/2*6\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 958 (base 13) to base 4.\nAnswer: 120322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 334384 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45, 1, 4 in ascending order.\nAnswer: -3, 1, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.027 - -3.427. Let d = m + 9.6. Let w = d + -12.5. Which is bigger: 3\/8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28\/11 + 123\/44. Let k = -0.4 - -0.3. Which is the nearest to 1? (a) k (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*2)\/(5\/20). Let c be (6\/z)\/(2\/56). Let g = c - -66. What is the remainder when g is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = x - 8, 2*f - 4*x - 7 - 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:19 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 7. Let b = 1913 + -1934. Let f(d) = -d - 1. Calculate b*f(n) + 3*a(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -1)\/(6\/(-40)). Suppose 8 = -4*l + g. Let c(f) = -3*f + 4. What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 98?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861402864.\nAnswer: 2, 3, 7, 233, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {k: 5, r: 13}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671125.\nAnswer: 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10448 and -53\/14366.\nAnswer: 114928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -697*s + 24 = -689*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 13*x - 6. Let o be m(11). Let h = 183 - o. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 3. Is p(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 210\/(25\/5) - 2\/(-2). Suppose 10*u - 7*u - z = -5*r, u = -3*r + 13. Calculate the remainder when 238 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 59, 9852?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (44808\/(-4))\/3)\/2. Suppose 574 = 2*k + q - 651, -4*q - p = -3*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {m: 7, a: 2, z: 3, e: 8}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*d*l - 2*d*v**2 - 5*d - 2642094*l*v**2 + 1331*l wrt v.\nAnswer: -4*d*v - 5284188*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 259304401 to the power of 1\/2, to the nearest integer?\nAnswer: 16103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240 in -0.1, -1, -2, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*a = 170613 - 170381, 3*f + 3*a - 156 = 0 for f.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.274 - 2.274. Let r = -6 + 6.3. What is the biggest value in k, -0.5, -5\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -41, -5, -4, 6, -9, -2 in descending order.\nAnswer: 13, 6, -2, -4, -5, -9, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2, q + u + 6 = 4*u. Let s(z) = -5*z**3 - 5*z**2 + 7*z - 2. Let x(p) = -2*p**3 - 2*p**2 + 3*p - 1. Calculate q*s(t) + 7*x(t).\nAnswer: t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4455 and 4725?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63989399 and 319.\nAnswer: 703883389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*-6*(sqrt(48) + sqrt(432))**2 + 5).\nAnswer: 27618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -1\/2 (b) 0.5 (c) 14\/5 (d) -3 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -87405 divided by 4\nAnswer: -87405\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 4*g - 3. Determine n(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/((-35)\/5))\/1. Let s be 1\/(-3)*-1*b - 3. What is the nearest to 3\/2 in 3, 0.01, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -13. Let u be 9\/(-15) - (-46)\/i. Solve -2*y - 8 = -u*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**5 + 14*j**4 + 14*j**3 - 30*j**2.\nAnswer: 2*j**2*(j - 1)*(j + 3)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 124*f**2 - 6 - 126*f**2 - 4*f in the form b*f + s + z*f**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978537952.\nAnswer: 2, 7, 17, 29, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7092125.\nAnswer: 5, 56737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990829357?\nAnswer: 11, 67, 2701261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*v - 25, -4*i = 30*v - 31*v + 10. Which is smaller: i or -200.2?\nAnswer: -200.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4601336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-10) + 2\/10. Suppose -4*g + 2*g + 4*k = -126, b = 2*k. Calculate the lowest common multiple of 4 and (-156)\/(-7) + (-18)\/g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 3:40 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1652*c**4 - c**3*t - 3*c**2 + 3*c*t + 7*c + 973*t wrt c.\nAnswer: 19824*c**2 - 6*c*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((8\/(-6))\/4). Which is the second biggest value? (a) 1 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 - 10*i**2 + 214 + 208 - 636.\nAnswer: -10*i**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**2 - 566*w - 34. Let m(s) = -s**2 + 142*s + 8. What is 4*f(c) + 18*m(c)?\nAnswer: -2*c**2 + 292*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 9)*(j + j - 4*j)*(-j + 4*j - j).\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 6*c**2 + 4*c + 6. Is o(-5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -367*o**2*r + 248*o**2 + o*r wrt r?\nAnswer: -367*o**2 + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -1)*(245 + 14). Suppose -5*b - 148 = -3*i, 5*i - a = b - 5*b. Suppose 3*p - i = -3. Solve -4*w = -0*w - p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -224495 < -224495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = -633. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -q + 4*j, q - 5*j = -3*j + 17. Let r be 3\/q - (-38)\/10. Solve 3*f - r*f = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)*s)\/(s*s*s**(-9)\/s)*((s*s*s*s\/(s\/((s\/(s\/s**1))\/s*s*s)))\/s*s)**(-23))**(-2\/55) assuming s is positive.\nAnswer: s**(216\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247014309.\nAnswer: 3, 82338103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*g - w + 66, 0 = -4*g + 3*w + 6. Let s = 5 - 0. Let i be -2 + 2 - 8\/8. Put -5, i, g, s in descending order.\nAnswer: g, s, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146141061 divided by 2319?\nAnswer: -63019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108700128?\nAnswer: 2, 3, 571, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 3*v**2 - 3 - 1 + 3. Let w be y(-2). Let t = -4 - w. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11 + 2 + 89*l - 94*l. Suppose -5*s - 23 = -38. Let t(a) = 2*a + 4. Calculate s*b(j) + 7*t(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l + 29*l + 738 = 13*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21411 divided by 1\nAnswer: -21411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*t - 4*q + 8, -16*t + 7*q = -10*q + 12*q - 463 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.482162 milligrams?\nAnswer: 482.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -14247603?\nAnswer: 14247601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {o: 1, z: 3, q: 2, h: 1, p: 2, i: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 + 101438*y**2 - 2565912641*y - 330100875392 = 0. What is y?\nAnswer: -128, 50783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*x + 23*x - 42*x - 25)*(-2 - 2*x**2 + 2 + (2 + 0 - 1)*(-3*x**2 + 5*x**2 - 3*x**2)).\nAnswer: -6*x**3 + 75*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from {s: 5, g: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by 2.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 8*c - 21 = 0. Let k = -19 - c. Let o(u) = 4*u**2 - u - 2. What is o(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 166 = 4*x, t - 245 = -2*t + 2*x. Let w = t - 37. Let k = w - 40. Solve 3*n - k*m = 2*n - 16, -26 = 5*n - 2*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0)*(-f + f - 2*f**2 + (-f - 2 + 2)*(-6*f + 4*f + f) - 5*f**2 - 3*f**2 + 2*f**2 - 3*f**2 - 2*f**2 + 0*f**2) + 3*f + f**3 - 3*f.\nAnswer: -23*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.691*0.3.\nAnswer: 0.2073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2385, -2403, -2423, -2445, -2469, -2495?\nAnswer: -2523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/((-32)\/64)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -32. Is (-1297)\/(-7) + b\/(-42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 107 + 280. Is y a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18835787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 9.5369.\nAnswer: 9.0369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970, 986, 1004, 1024?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4 = -2, 3*q - 22 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 9a?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, 41, 350\/23, -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21*(-1 + (-15)\/(-9)). Let g = 15 - n. Suppose -l + 0*l = -g. Is l at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**23)\/(l**18\/l))\/((l*l\/(l*(l\/l**15)\/l*l*l)*l)\/l**(-1\/5)) assuming l is positive.\nAnswer: l**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0. What is the second smallest value in -0.4, f, 0.07?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/21 + 2)\/((-50)\/(-35))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -124?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(6\/7)*c*c**(-3\/7)*c\/(c*c*c\/(c*c\/c**0*c*c)*c) assuming c is positive.\nAnswer: c**(25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**2*z**2 + 2*j*z**3 - 2*j - 12*z**3 - 31*z wrt j.\nAnswer: 6*j*z**2 + 2*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Suppose -33*f + 5 = -32*f. Solve b = -f*z + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -3, 4 in descending order.\nAnswer: 92, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 122348853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22902.83 - -1227?\nAnswer: -21675.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 35*o + 78. Let u be d(-33). Solve -u*m + 8*m - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*f - 14. Suppose h = -2*h + f. Suppose 4 = 2*l - h*z, -5*l + 2*z + 28 = 3*z. Solve 3*m - 12 = 0, -4*c + l*m = m + 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 24 + 619647*o**2 + 14.\nAnswer: 619647*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - -4. Suppose 22 = 5*t + 4*r, -20 = t - 4*t + r. Suppose -5*f = -3*i + 56, -3*i + t*i + 2*f = 49. What is the remainder when n is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 11889257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242011 (base 5) in base 6?\nAnswer: 1110413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*f, -85*f + 2*m = -86*f. Is -8504 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(3\/2))))**(-2\/13)\/((t*t**(-8))\/(t\/(t**(-2\/15)\/t))) assuming t is positive.\nAnswer: t**(1706\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - (-3)\/2. Let j be 0 + (x + 1 - 0). Which is the second biggest value? (a) 5 (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 v, and 1 b when three letters picked without replacement from bkkkvpvvkbjvyyk?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofto when four letters picked without replacement from {a: 2, p: 1, c: 1, f: 1, t: 1, o: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 + -44. Let u = -782 + 788. What is the smallest common multiple of l and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1734 and 3.\nAnswer: 0.5202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 5*u**2 - 3*u + 26. Let v be r(-6). Let a be (-2)\/(-5) + 5260\/(-25). Let z be (-2)\/5 + a\/(-25). Solve z + v = -4*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*z**3 - 76*z**3 - 67*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73\/6 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-16)*((-832)\/(-273))\/(-8)*3?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.8 - 8.2. Let d = 19 + i. Which is smaller: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -65. Does 19 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 219 = -4*n, 4*b = -n - 4*n - 832. Let t = 1012\/5 + b. What is the common denominator of t and 186\/(-16) - 1\/(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 + 154*a + 261 - 130)*(-2*a**3 + 2*a**3 + 2*a**4).\nAnswer: 308*a**5 + 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -145.000041 + 145. What is z rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -127\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*h + 21*h + 26211 = 200803. Is -5456 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 9*t + 11. Let n be c(8). Suppose -n + 46 = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let m = -37 - -44. What is the smallest common multiple of m and d(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 + 23825*c\/2 - 23827.\nAnswer: (c - 2)*(c + 23827)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 745535051?\nAnswer: 745535051.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22416651097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2206*x - 155. Does 11 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3*v - d**3 - 3*d**2*v - 2*d*v + 62*d + 2 wrt d?\nAnswer: 42*d*v - 6*d - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6248 and 31\/95282?\nAnswer: 381128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-2 + 4)\/2). Let u = -321.8 + 322. Let d = -1801\/6 + 301. Put r, u, d in descending order.\nAnswer: r, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-34)*c)**(-34)\/(c**(-20))**(8\/11) assuming c is positive.\nAnswer: c**(-13678\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4420598286?\nAnswer: 2, 3, 13, 56674337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -131830776 divided by -553?\nAnswer: 238392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.9 + 3.4. Let v(n) = -n**3 + n**2 + n - 2. Let p be v(2). Which is the second smallest value? (a) i (b) p (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0482 + -0.0718. What is the nearest to 0.4 in 0, c, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/60*3)\/(25 + 3535\/(-140))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**13*g)\/g)\/((g*(g*g*(g\/(g**(1\/42)\/g)*g)\/g*g*g)\/g)\/g)*(g*g**13)\/((g**(-2\/37)\/g)\/g) assuming g is positive.\nAnswer: g**(38971\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o - 4. Let d be n(-6). Let q(t) = -12*t - 7. Let s be q(d). What are the prime factors of (1 - 0) + -2 + s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 1 = 14*w. Let c(l) = -l**3 - 2*l**2 + 6*l + 10. What is the remainder when (-4)\/w - 29*-1 is divided by c(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i + 9. Let j be q(3). Sort 1, j, 5 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197173462 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 10)*2\/6. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 z when four letters picked without replacement from kkeeeezzeeeezeekeee?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 8. Suppose 2*g - 2 = -s*u, -u - 17 = 4*g - 0*u. Let v(d) = d**3 + 6*d**2 + 3*d - 3. What is the units digit of v(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + (-1*sqrt(156) - sqrt(156))\/sqrt(12) + -4*sqrt(13)*3 + 1 + -5 + -2 + 5)**2 + -2.\nAnswer: -20*sqrt(13) + 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -278 - -297. Calculate the highest common factor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2093 or -14?\nAnswer: 2093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 0*t = -42. Let z be 3*(1 + 7\/3). Let n = 18 - z. Calculate the lowest common multiple of t and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1)\/(-2)*-3. Suppose -24 = -n - 4*t, 5*t + 29 - 73 = -g*n. What is the remainder when 15 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3, -4*m - 4*b - 24 + 452 = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65\/4, 3, -4.\nAnswer: -4, 3, 65\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -7*s + 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 - 273486*f + 3008709 = 0.\nAnswer: -91173, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41250 + -3?\nAnswer: 41245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(10\/(-7)) + -1. Suppose 156 - 162 = 14*v - 12*v. What is the second smallest value in n, 4.6, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -16161?\nAnswer: -16160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - -10 - 7)) + (24 - 33).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 + (-32)\/42. Suppose -1 = 4*f - 9. Let g be -3*f*3\/9. Which is the second biggest value? (a) n (b) 1\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y + 7*y - 2*y**2 - 19*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + x + 1. Let h(n) = -11*n**2 + 4*n + 7. Let o(l) = 2*h(l) - 14*j(l). Find the second derivative of o(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 - 571 = -14*b + 36*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 + -87 - (38 - 22)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 0*a + a)*(-18*a - 84*a + 29*a + 2*a + a - 4*a + 4*a + 2*a - 5*a + (-2*a - 4 + 4)*(-1 + 0 - 1) - a + a - 2*a) to q*a**2 + k + n*a and give q.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/289714 + 863276044\/31144255. Let a = 706\/43 - t. Calculate the common denominator of a and 81\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1747*p**2 + 71*p**3 - 1747*p**2)*((-3*p + p + 3*p)*(0 - 2 - 3) + 5*p - p - 2*p + 4 - 4 + 2*p).\nAnswer: -71*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856*s + 44407 = 1538*s - 84*s - 2635*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 3*u**3 + u**3 - 1 + u**2 + 0 - u**3 + u**3 + 10*u**3 + (2 + 2*u - 2)*(-5 - 2*u**2 + 5).\nAnswer: 4*u**3 + u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/22*(-220)\/100*(-36)\/(-16)*-10\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 2*q**2 + 9*q - 4*q + 2*q**3. Let s be j(-4). Does 6 divide s*(-2 + 1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - -7. Suppose -2807 = -52*f + 2133. Suppose 19*l - y*l + f = 0. Is l a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {c: 4, l: 2, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 - 10*o - 6. Let q be j(-8). Suppose -5*z + 0*k + q = -k, 0 = -4*k - 20. What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92.22 + -94. Let u = c + 0.78. Which is greater: 11 or u?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 344?\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 8 = 5*s, -2 = 2*o + 9*s - 6*s. Suppose -a + p - 2099999 = 0, -7122603 = 5*a - o*p + 3377395. Round a to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from cbkrrrrkrcck?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -386 divided by -2?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.4, 1.4, -0.011.\nAnswer: -0.011, 3\/8, 0.4, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.576838 and 45.2.\nAnswer: 60.776838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-40)\/(-490)*7 - (-56090)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -197\/93240 and 47\/5328.\nAnswer: 186480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20 = 50. What is g rounded to 0 decimal places?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*o + 3783, -3*x + 5*o = -6*x + 11319. Does 26 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**3 + 14*p**2 + 7*p + 7. Let h(k) = 8*k**3 + 13*k**2 + 6*k + 6. What is 7*h(o) - 6*v(o)?\nAnswer: 2*o**3 + 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27651607223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-23 - 3225\/(-175)). Let y be (-3 - -2)\/(-4 - -5). What is the closest to 1\/2 in y, 20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 6*k + 7. Calculate j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -332?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnwx when four letters picked without replacement from {c: 1, x: 5, n: 4, a: 5, w: 1}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 28. Let g(b) = 2*b**4 - 3*b**3 + 3*b**2 + 3*b. Let s(f) = f**3 - f. Let u(v) = k*g(v) + 3*s(v). What is the third derivative of u(h) wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -381*r + 5120. Determine k(12).\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4431 and 14343?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/64 - 3107\/(-4780)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(-2 + 1*sqrt(468) + -1)**2 + ((sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*-2*1))) + 3 + -5)**2.\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1155974660 to the nearest one million.\nAnswer: -1156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f = 203 - 228, l - 5 = f. Suppose 2*h = -5*q - 31, 18 = -4*h + l. Let j(i) = -i. Let n be j(-1). Put n, q, -11 in descending order.\nAnswer: n, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.772 - -239.\nAnswer: 255.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2451\/(-38))\/(-43)*(1 - (-34)\/(-42)). Which is the closest to i? (a) -7 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 85.2. What is the nearest to s in -3\/5, 0.1, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556.5997 milligrams to tonnes.\nAnswer: 0.0000005565997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5357267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 7. Let z be o(6). Let n = -64\/5 + 68\/5. Let h = -17\/15 + n. What is the nearest to z in h, 2\/7, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 + 8*j + 1. Let a be u(-8). Let h be (26\/(-18) + a)*1. What is the closest to 0 in h, -0.5, 2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**2*s*w**2 + 1115*h**2*s*w - 36*h**2*s + 1427209*h**2*w**2 - h*w**2 + h*w + 3*s*w wrt w.\nAnswer: 2*h**2*s + 2854418*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355, -346, -321, -274, -199?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*w + 117*w + 11 = -12*w + 3*l - 2, 3*w + 8*l = 51 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 0 + -1 - (4 + -7)) + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 15*m - 43. Let w be q(-5). Calculate the common denominator of 151\/24 + (w - (24 - 12)) and -41\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/1740 and -31\/130?\nAnswer: 22620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 10459.9588 to the nearest ten.\nAnswer: 10460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 4*b + 4, -37221*b = -5*s - 37216*b + 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - 2\/(-1))*-1. Let f be (10\/w)\/((-7)\/(-210)). Suppose 2*b + 2*b + 4*q - 20 = 0, 2*q + f = 4*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 3. Let u(z) = z + 2. Let j(v) = -3*h(v) + 4*u(v). Let t(o) = 4*o + 4 + 4*o - 5 - 3. What is -4*j(d) + t(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 13, y: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 93*p**2 + 278*p - 180. Calculate the smallest common multiple of b(90) and 840.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.08604 hours to milliseconds.\nAnswer: 119109744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2)*-47*(6 - 5). Calculate the greatest common divisor of 282 and m.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.2 (c) 2\/3 (d) 827\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -5374?\nAnswer: 5379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-8)*m)**(-49) assuming m is positive.\nAnswer: m**343","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/5*(-3 - -4)*164\/287.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 110\/15 - (-56)\/(-7). Which is the closest to 0? (a) -0.05 (b) p (c) 6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 9*d + 18. Let g(x) = -x**3 - 6*x**2 - 4*x + 2. Let s be g(-5). Let o be r(s). Solve 8*u + 2 = o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(13))**2 + 3 + sqrt(13) - (sqrt(468) - sqrt(468)*2)**2.\nAnswer: -413 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) -0.18 (b) 10 (c) 377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - w. Let c(o) = -15*o + 20. Let n be c(10). Let i be n\/(-39) - (-1)\/(-3). Suppose 0 = -3*x - 2*q + 3, -i*q - 2 = -3*x - 14. Calculate j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*f - 10 = 2, 4*q - 5*f - 69 = 0. Let y be 1 + 1*(-1 - -2). Suppose -y*h = -h - q. What is the remainder when 27 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/11*142 - ((-9576)\/418 - -23).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 292*u + 2237*u + 968*u + 1591*u - 196*u. Let l(k) = -2*k. Give l(c(y)).\nAnswer: -9784*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4895 + 1*65\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10790*c + 522 = 10732*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103547.513936 - 103522. Let n = 25.014 - r. Let f = -0.5 - n. What is f rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7296\/(-224))\/(-19)*(-14)\/33?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) - (2*sqrt(1764)*5 + sqrt(1764)))\/((sqrt(84)*1)\/sqrt(12) - sqrt(14)\/(-1*sqrt(2) - sqrt(2))))**2.\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + -822)*6\/(-9). Let x = s - 341. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-12 - -4 - -2). Suppose -3*g - 4*i - 11 = -m*i, 13 = -g + 5*i. Which is the second biggest value? (a) 10 (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 - 212. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/15 + 11*o**3\/3 - 3*o**2. Differentiate a(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152556 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8243934?\nAnswer: 2, 3, 1373989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 572419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1\/3, -0.051 in ascending order.\nAnswer: -1\/3, -0.051, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -54. Let v(y) = 2*y - 9. Let m be v(x). Solve m*d + 5*l = 7, 0*d + 3*d = 5*l + 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 678 - 669. Let o = 13 - l. What is the fourth biggest value in -0.3, -0.5, o, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45556 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4329315800.91 + 257\nAnswer: -4329315543.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 1, n: 1, y: 4, k: 1}. What is prob of sequence mw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxyeysssexeesqeeyx. Give prob of picking 1 x, 2 e, and 1 q.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7610 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3456336, 6912669, 10369002?\n\"Answer: 3456333*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123675568 to the nearest integer?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-21)*(2\/(-1))\/(-24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 6, -0.2, -0.1, -5 in descending order.\nAnswer: 6, -0.05, -0.1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.549 - 12214092.\nAnswer: -12214092.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 338576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -346233 (base 7) to base 4\nAnswer: -33023331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16609 divided by 96?\nAnswer: 16609\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = 2*m. Let n = -4 - m. Is n\/7 - 270\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 2:10 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.4 (b) -98 (c) 3\/2 (d) 1 (e) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b + 3. Let j = -114 + 118. Suppose -5*h - 2*g = -11, 0*g = 2*g + j. Give z(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/35 + 31\/455. Suppose -428*n + 429*n = 0. Suppose 176*g - 183*g = n. Which is the closest to 1? (a) -4 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 164?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 292\/3937 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - 3 - -1)\/(-1). Factor 3 + 6*r - r**2 - f - 3.\nAnswer: -(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(((m*m\/((m**15\/m)\/m))\/m)\/m))*m*m\/((m*m**(2\/31)\/m*m*m*m*m)\/m) assuming m is positive.\nAnswer: m**(-436\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35172)\/(-42) + 8\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3 - 2*a**3 - 4*a**3 + 0*a**3. Suppose 0 = -34*i - 115*i - 30*i - 537. Let g(r) = -17*r**3 - 12*r**2 + 12*r**2 - 8. Calculate i*g(q) + 8*s(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 483 = 4*u. Suppose -u - 265 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.198 + -0.002. Let h = f - -2.2. Let j be (-4)\/(-57)*12\/(-8). What is the closest to -0.1 in 2, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.0004149 rounded to the nearest integer?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-129)\/((-27864)\/(-144)))\/(-23*(-4)\/6).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v. Let z(q) = 26*q + 843. What is u(z(c))?\nAnswer: -156*c - 5058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 14755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**2 - 5844305*g = 0.\nAnswer: -1168861, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 - -0.04. Let n = l + -7.19. Let m be (-6)\/(-39) - (-60)\/(-52). Which is the biggest value? (a) 0.1 (b) m (c) 4 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2311469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/10 + 792581*f**2\/10 + 17437508*f\/5 + 38363050 = 0.\nAnswer: -22, 792625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 488 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.012468.\nAnswer: 2.987532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - 9*d - 3*d**2 + 6*d as b + i*d**2 + v*d and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 83853368 and -249.\nAnswer: 83853119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -4 (c) -1\/16694\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.22, 0.1, -0.3, -3, -12.77?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 1\/60*b**5 + 8*b**2 + b**3 + 0*b + 15 + 5\/24*b**4. Let o(h) be the second derivative of d(h). Determine o(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.075 and 10668389.\nAnswer: 10668389.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.280723837 - 0.206904\nAnswer: -0.487627837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829, 808, 783, 754, 721?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/z*z\/z**(-1))\/(z**(2\/15))**(-2\/13) assuming z is positive.\nAnswer: z**(-581\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (sqrt(7) - sqrt(448))*4 + 4 + (sqrt(28) - sqrt(112)\/sqrt(4)*4)\/(sqrt(4)*1*-4)).\nAnswer: -545*sqrt(7)\/4 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*f + (-2*f - 2*f + 5*f)*(5 + 0 - 4) - 2*f + 0*f + 0*f - 81 - 152*f + 167 - 86)*(0*f + 2*f + 0*f)*(-2*f - 58*f - 3*f).\nAnswer: 19026*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 48*x**2 - 207*x - 54. Let h be c(52). Sort 2, 6, h, -1 in ascending order.\nAnswer: h, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 8 + 71 + -80.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1)\/(-1)*235\/(-47)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m, -7 = 3*k + m - 11. Let j(c) = -c**2. Calculate j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/30)\/(-10)*6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7 - 37 = 0. Let h be 3\/15 + g\/10. Suppose 0 = -3*a + 2*x - 10, -2*a - 3*x + 0*x + 2 = 0. Is a <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 294?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 584*x + 2964. What is f(-5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 1)*(3 - 2). Let n be (102*-1)\/(z\/3). Is 4\/(-14) + n\/(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87\/83 + 7841\/5976. What is the common denominator of d and 151\/84?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 25*i + 98. Let m be b(4). What is the greatest common divisor of m and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23258.2061 + 23257. What is s rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 954 by 2.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2757.\nAnswer: 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 35 + 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -574 - -878. Let m be i\/(-114)*(-6)\/8 + 12. Suppose -3*n = 2*v - 46, -68 = -7*n + 2*n + v. Is m < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -16*v + 540. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -14)*(-1 - 2 - -14).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2356?\nAnswer: -1\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j + 124 = 18*j. What is the third derivative of 41*f**4 - j*f**4 - 13*f**2 + 37*f**4 wrt f?\nAnswer: 384*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + 12 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/20)\/(1\/(-5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d - 8. Let y be 6 - ((0\/(-1))\/2 + 2). Differentiate 130*b**d + 0*b - 95*b**y + 0*b - 6 wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3106798391, -3106798390, -3106798389?\n\"Answer: m - 3106798392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*i - 101 = 116*i + 3*s, 5*s + 205 = 4*i. Suppose -2*k = 4*n - 73 - 91, k - 2*n = 94. What is the least common multiple of k and i?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eddnededtdegdtyttg. Give prob of picking 1 t and 1 y.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/12 + -15*39\/780?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 - 9*w - 2*w.\nAnswer: -11*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494687.4 rounded to the nearest 10000?\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 7*d + 25. Let f be b(11). Let a = 39 + f. Solve 4*x = -0*x + a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5 + 448*u**4 - 6698*u**3 + 8548*u**2 + 38992*u + 23296 = 0?\nAnswer: -1, 4, 14, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*c - 4175 = -13025 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -j + 28 + 48, 176 = 3*j - c. What is the remainder when j is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4716096*y**4 - 90112*y**3 + 81952*y**2 - 5120*y + 92 = 0. What is y?\nAnswer: -1\/6, 1\/22, 23\/406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22304, -56577, -113698, -193667?\n\"Answer: -11424*p**2 - p - 10879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-5 - 0) - 6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 + 5*z - 7. Let j(v) = 3*v**3 + 10*v**2 - 11*v + 15. Let f = 39 + -44. Let r(a) = f*n(a) - 2*j(a). Calculate r(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21771 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h**3 + 59 - 59 + (180*h**2 + 197*h**2 - 271*h**2)*(-h + 4*h - 5*h) to q*h**2 + b*h + g*h**3 + i and give g.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 20 = -60 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = d + 19. Solve -d*t + 2 = -9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4905, 9821, 14733, 19641, 24545, 29445, 34341?\n\"Answer: -2*x**2 + 4922*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 126, 127, 128, 129, 130?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2130 or -14904\/7?\nAnswer: -14904\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 + -10b?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:15 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*q + 8 - 2 = 0, -f + 2 = 3*q. Let d be (3 + 3)\/(4 + (-8)\/4). Solve 4*l + 16 = d*y + f*y, l + 4 = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 923*t = 917*t + 42 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 + 1 + 2 - 2*h - h**2 + 9*h. Let r be g(-7). Find the third derivative of r*v**5 - 9*v**5 + 11*v**5 - 2*v**2 + 8*v**2 wrt v.\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -191, -195, -217, -263?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 31*a**2. Let s(l) = 297*l. Let k(t) = -19*t. Let v(p) = -90*k(p) - 6*s(p). Give v(w(h)).\nAnswer: -2232*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = s + 45, -4*s = -2*f + 200. Let d = 4\/25 + -33\/50. Let p = d + s. Calculate the common denominator of p and -65\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*h + 17, q + 41 = 4*q + h. What is the remainder when 55 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66170170 by -145.\nAnswer: 456346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (19 + (13 - 27)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 910 - 476. Suppose 3*h + y = 1554. Suppose -551 = -3*f + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 312.522 hours?\nAnswer: 1125079200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 0.1, -0.3, 219\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8, -7, 0.3, 1.37, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/5)*y*y\/(y*y\/y**(-3)*y))\/(((y\/y**(-9))\/y)\/y*y**9\/y) assuming y is positive.\nAnswer: y**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-48)\/1512*7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35456?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/23 (b) -11\/13 (c) -8 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/2685 and -20\/207.\nAnswer: 185265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720 and 108810744?\nAnswer: 544053720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 1026*n + 5241. Calculate b(-5).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/7 - 24*b**4 - 1238*b**3\/7 - 1656*b**2\/7 + 1240*b\/7 + 1824\/7 = 0.\nAnswer: -76, -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52 + 0 + 2 + -2. Suppose 28*j = -41*j + 897. Suppose -9*w = -j*w + g. What is the highest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -605168256 divided by -18568?\nAnswer: 32592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 1)\/((-22856176)\/(-6944)).\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-9) - (-2)\/9. Suppose 4*z + 5*b - 10 = -c, -2*b + 18 = 4*z. Solve -m = m + z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(((a*a\/(a\/a**(-5)*a))\/a)\/a)*a**8 assuming a is positive.\nAnswer: a**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -528, -46, -7 in ascending order.\nAnswer: -528, -46, -7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 2, a: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -890151287*n*z + 781370966*z wrt n.\nAnswer: -890151287*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(891) - sqrt(891)*-2))**2*6.\nAnswer: 1732104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (89 + -24)) + 29.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.14478l to millilitres.\nAnswer: 18144.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56791116.\nAnswer: 2, 3, 1577531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 2*q**2 - q - 1. Let a(l) = -l**2 - l + 4. Suppose -14*j + 32 = 4. Let y be a(j). Determine b(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -205\/2. Let i = -23 - -14. Let u = i + 6. What is the smallest value in u, -1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680287195.\nAnswer: 5, 19, 659, 74759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 389 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 1)**2 + 1.\nAnswer: 4*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3164 (base 8) to base 4\nAnswer: -121310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 2407?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -245145 (base 6) to base 10\nAnswer: -21881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-3\/17))\/(p**(-16)*p)*(p*p**(-17)*p)\/p**(4\/5))**(-18) assuming p is positive.\nAnswer: p**(-576\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 166*g**2 - 2*g**3 + 6*g**3 + 2 + 167*g**2 - 4*g**4 + 2*g to the form m*g**2 + u + c*g**3 + s*g + r*g**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2 = -4*u, 5*w - 12 - 9 = -3*u. Let t = 35 + -14. Let n = -6 + t. Solve -w*h + 0*h - n = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -27?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 2*u + 8 = -7*d, 8*u - 12*u = 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. Let a be 13\/3 + b\/(-6). Let c be (2\/a)\/((-1)\/(-6)). Solve -c*l = -o, 0 = -l + 2*l - 2*o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 141, 361, 869, 1809, 3325, 5561, 8661?\n\"Answer: 24*t**3 + 52*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7564450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 318, 627, 934, 1239?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 68. Solve 5*t = n*t - 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-3) - -2*438\/(-12). What are the prime factors of ((-10761)\/g)\/((-6)\/(-40))?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248981?\nAnswer: 7, 17, 18899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 39*c - 9*c + 2*c. Let b = 22\/7 - 3373\/1071. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -174 - -163. Is (-1714)\/(-11) + (-2)\/v a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 8880130 to the nearest 10000.\nAnswer: 8880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23809485 by -115.\nAnswer: -207039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3*j)\/j**(2\/11)*j**2*j**4)**(-40) assuming j is positive.\nAnswer: j**(-4320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -3*d - 28, 0 = 226*d - 221*d - 2*n + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2517 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 324?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 9. Give y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65719 * -4\nAnswer: -262876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 29 = -2*i, 2*i + 43 = -3*h + 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*v + 7. Let i = 721\/30 - 106\/3. Calculate the common denominator of i and (-6)\/(-12) + (-1)\/v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2840915 and 32\/517.\nAnswer: 2840915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (106 + 149 - 60 + 8 + 167)*(6*f + 7*f - 4*f) as x + k*f and give k.\nAnswer: 3330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 132. Suppose 0 = -4*g - 0*g - 5*o - 44, -d = 5*g + o. Let b(f) = -9*f**2 - 5*f + 10. Let i be b(g). Round i to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v + 17. Let g(x) = x + 2. Let t(n) = -51*g(n) + 6*y(n). Let p(a) = -a**2 - 3*a. Determine t(p(d)).\nAnswer: 3*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-5 - -1) - 0) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 51640272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = -5. Let i(p) = -p. What is the lowest common multiple of i(c) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 8) in base 7?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2630 + -2628. Let i(j) be the third derivative of j**6\/120 - j**5\/12 - 2*j**3\/3 - j**2. Let s be i(5). Sort c, s, 3 in descending order.\nAnswer: 3, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15490, 61972, 139438, 247882, 387298, 557680, 759022?\n\"Answer: -c**3 + 15498*c**2 - 5*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20002164 is divided by 982?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -2*t, -t - 2 = -3*c + 29. Suppose -2*h + c = -5. Let a = h + -4. Sort a, -1, 4 in ascending order.\nAnswer: -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 105 = -4*o. Let a be ((-14)\/o)\/((-1)\/5). Suppose -3*b - r = r + 1, -a*b = r. What is the greatest common divisor of 9 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3217962, -6435916, -9653872, -12871830, -16089790, -19307752, -22525716?\nAnswer: -25743682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.8. Let t be (10\/(-4))\/(3\/6). Which is the third biggest value? (a) 1\/3 (b) x (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84\/89 or -1?\nAnswer: -84\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -56. Let g = 1.13047 - -25.86798. Let s = g - r. Round s to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -65. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.5 - -12.5. Which is smaller: -13\/4 or b?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 513 - -545?\nAnswer: a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 334\/77 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -19557b76?\nAnswer: -19557b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(3\/(-3)*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*5*(-4 + sqrt(76)\/sqrt(4) + 3)*2 + 5)**2.\nAnswer: -3680*sqrt(19) + 32516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2756302734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6797*t - 436 - 55 - 129 - 2821*t wrt t.\nAnswer: -9618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -13, -8512, 5\/3, 2\/5 in decreasing order.\nAnswer: 2.4, 5\/3, 2\/5, -13, -8512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4726365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10903\/1700 - 4\/1275. Calculate the common denominator of -149\/78 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-7491)\/1362).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - 3750?\nAnswer: -3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 0.4, 2\/17, 1, 1\/2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2 - (-28)\/(-56). Let w(a) = 17*a**2 + 2*a - 1. Determine w(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.9756 centuries in years?\nAnswer: 40197.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2107 + 9660. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 1, j: 2, n: 1, q: 2}. Give prob of sequence qnj.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -29278.255 rounded to the nearest 10?\nAnswer: -29280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 4*a + 2. Let u be j(2). Suppose 1 = -i + 2*i - 3*w, -5*w = -i + 1. What is the closest to i in 3, u, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 l, and 1 x when four letters picked without replacement from dslsxdldxdsxddd.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5 - 12266*i**4 - 572898*i**3 - 4953094*i**2 + 5538260*i = 0 for i.\nAnswer: -6086, -35, -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - (-23940)\/(-560)) + (-9)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.05, -2\/9 in descending order.\nAnswer: 0.4, 0.05, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252ad4 (base 14) in base 7?\nAnswer: 13561154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrr when three letters picked without replacement from rrhrrrrrrrrhrrrrrr.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {p: 1, o: 1, c: 1, r: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5770*f + 1810*f - 920*f in the form o + t*f and give t.\nAnswer: 6660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 10:59 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -687 (base 10) to base 13\nAnswer: -40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 32. Let x(n) = -n + 1. What is a(m) + 4*x(m)?\nAnswer: -8*m - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**4\/12 - 24*a. Let i(k) = 37*k**2 + k. Determine i(n(x)).\nAnswer: 37*x**4 + x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 take away 533?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -4*d**3 + 10*d**2 + 101*d - 217. Determine f(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:14 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24041 - -30?\nAnswer: -24011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - z + 1. Let o(u) = 6*u**2 - 2*u + 9. Let j be 0\/(-3) + 2 - 1. Let a(b) = j*o(b) - 5*p(b). Let s be a(-4). Solve 2*n = 6*n + s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3)*8\/(-8). Let u(q) = -2*q - 4*q**m + 5*q**2 - 15 - q + 5. What is the remainder when 51 is divided by u(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a4 - -a0b3?\nAnswer: a00c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -21*m - 48. List the prime factors of b(-14).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 + -121 + -50 + -45?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4077.179mg to nanograms.\nAnswer: 4077179000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -1 (b) -2\/19 (c) -14 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15254245 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 13*t - 8. Is j(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145\/5 + 6\/(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 15\/(-6))*(-48)\/(-2 + 10). Let x(q) = 2*q + 3 - q**2 + q - q**2 + q**2. What is x(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/7 - 248422050*h\/7 + 248422053\/7.\nAnswer: -3*(h - 1)*(h + 82807351)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8219685 divided by 3629.\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 146545146 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01461 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*g + 8 = 0, 7*k - 34 = 3*k - 5*g. Which is the smallest value? (a) k (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) 9 (c) -2 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-14) + 1658\/7. Suppose 0 = -4*t + 4*q + 268, 3*t - 4*q - f + 38 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224744 = -36*j + 49668 + 41452. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 = -4, -3*z + 5*j + 3 = 0. Is 97*z\/(-2)*42\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-392)\/(-140)*(-20)\/(-88)?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 7. Let a be h(3). Suppose -2*x + 26 = 4*y, -3*x = x - y - 61. Suppose 19*s - x = 22*s. Sort s, a, -1 in decreasing order.\nAnswer: a, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {x: 7, q: 3, r: 5, n: 3, c: 1}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(5 + ((-1 + sqrt(325))*-1 - 1*sqrt(325)*2)))**2.\nAnswer: -4500*sqrt(13) + 74025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 762 + -732. What is the lowest common multiple of 15 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -2\/7 (c) 2 (d) -0.3 (e) 2\/21 (f) 132703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m + 85*m + 83*m + 201*m - 34*m to the form n + r*m and give r.\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 8 - 3. Let d(m) be the third derivative of -m**4\/8 + m**3 + m**2. Let l(h) = 4*h - 7. Give q*l(r) + 6*d(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22669, 23586, 24503?\n\"Answer: 917*z + 21752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1836, -1835, -1834?\nAnswer: -1833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209844.3089595 - -209790.309. Let r = 54 + b. What is r rounded to six decimal places?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 305, 613, 943, 1307, 1717, 2185, 2723, 3343?\n\"Answer: 2*k**3 - k**2 + 297*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8578 divided by -8615.\nAnswer: 8578\/8615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygyg when four letters picked without replacement from {m: 2, n: 4, r: 1, y: 2, g: 2, s: 3}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 122*237\/((-1489071)\/(-206))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-299)\/(-9) + 4\/(-18). Suppose 10 = l - x. Let z = l + -43. Which is smaller: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 times 4?\nAnswer: -1072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 557509*-0.2\nAnswer: -111501.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 14 + -2 + -35 + -16 + -3 + 16.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 685 - 684. Which is the closest to v? (a) 0 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1395606 by 6.\nAnswer: 232601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374197?\nAnswer: 11, 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -9069*-10.4\nAnswer: 94317.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2503 * -1104.91.\nAnswer: -2765589.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 110774.4 rounded to the nearest one hundred?\nAnswer: 110800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - r**5 - 2*r**4)*(952 - 2984 + 1096).\nAnswer: 936*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(637)*2 + sqrt(637) + -4 + (-1 + sqrt(637) - sqrt(637)) - ((0 + sqrt(637))*3 + sqrt(637) + 3))**2*-1.\nAnswer: -31277 + 784*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a - 2*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = 5*i - 2*c, -5*c - 10 = 5*i. Suppose 3*m + 3 = 6*m. Let h be -1*m\/1 + 19. What is the greatest common divisor of h and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 4*x**2 + x - 2. Suppose 0 - 24 = 6*g. Let h be z(g). List the prime factors of ((-2)\/h)\/((-2932)\/(-1464) + -2).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23039, -23588, -24137, -24686, -25235?\n\"Answer: -549*y - 22490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-625)\/75 + 7 + (-93)\/(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 166, 736, 1694, 3040, 4774?\n\"Answer: 194*r**2 - 12*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35 - -24) + (1 - -12). Sort -0.087, 3\/11, b in increasing order.\nAnswer: -0.087, 3\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -11\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163, -578, -1265, -2224, -3455, -4958, -6733?\n\"Answer: -136*o**2 - 7*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 3*i**2 - i**2)*(-3*i + i**2 + 3*i).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*((-5)\/(-2) + -3). Suppose 8 = -2*p + o*n, 8*p - 16 = 4*p - 4*n. Suppose 0 = 3*f + b - 633, -2*f = -p*f - b - 422. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 5, -1\/9, 15357.5, -2 in descending order.\nAnswer: 15357.5, 5, 0, -1\/9, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21922 + -21922.026. Which is the nearest to q? (a) 5 (b) 3\/8 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*l**3\/2 - 42*l**2 - 609*l\/2 - 258.\nAnswer: 3*(l + 1)*(l + 4)*(3*l - 43)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-7)*13\/((-507)\/26))\/(152\/1064)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30 - (-51)\/60)\/((-1)\/(-38))?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 1, o: 1, a: 1, n: 1, l: 4}. Give prob of sequence lln.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/15 + (-486)\/(-30). Let h be (48\/(-96))\/(-1*1\/6). Differentiate -h*i - 4 + 3*i + g*i with respect to i.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 3*m + d, -2*d = m - 10. Let x be -2 + m + 28\/(-16). What is the second smallest value in -0.3, x, -8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 16*i - 8. Let g be k(-6). Calculate the highest common factor of g and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 1728*v**2\/7 + 283290*v + 247150708.\nAnswer: -2*(v - 998)*(v + 931)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 16*s**2 + 612*s + 2307. Let d(j) = 2*j**3 - 16*j**2 - 616*j - 2306. Let b(y) = -3*d(y) - 2*p(y). Determine l, given that b(l) = 0.\nAnswer: -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgll when four letters picked without replacement from llllllgggll?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943242.56 rounded to the nearest 10000?\nAnswer: 1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 4*d + 4. Let q be s(7). Let a = 237 - q. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(1\/3)))\/(i*i**4)*i**(-6)*(i**(-12)*i)\/i)**(-18))**(4\/5) assuming i is positive.\nAnswer: i**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 + -71.07. Let t = 0.07 + o. What is the nearest to 0 in -2\/11, t, -2\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230504 + 7714.5.\nAnswer: -222789.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**5\/12 + 43*b**2\/2 + 24. Let f(o) be the second derivative of w(o). Let s(d) = 3*d**2. Calculate f(s(a)).\nAnswer: -45*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**(29\/3) assuming w is positive.\nAnswer: w**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + l = 22, 5*v - 2*l - 31 = -15. Solve -74*w**3 - 3767*w**2 + 7*w**v + 68 - 5*w**4 - 206*w + 3977*w**2 = 0 for w.\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 4*s**2 + s - 5. Let t(q) = -3*q**2 - q + 4. Suppose -40*v + 36*v - 12 = 0. Determine v*t(l) - 2*u(l).\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*h - 377*h = q + 9, 31 = -3*q + 8*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**2 + 3*x. Let f(z) = 42*z. Calculate f(i(n)).\nAnswer: -168*n**2 + 126*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.19 times -2?\nAnswer: -38.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m - 43 = -0*m, 3*m = -k - 12. Let v(u) = u**3 - 4*u**2 + 8*u - 12. Let s be v(k). Is s\/(-9) - (-4)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 872304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2096913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -796 - 0?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1203111t in nanograms?\nAnswer: 120311100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/24 and 85\/49752.\nAnswer: 49752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1857651 and 753?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484801*r**2 - 704608*r wrt r?\nAnswer: 969602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 15.536629.\nAnswer: 15.036629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-27) + 0 + 75\/9. Suppose 10*r = -5*g + i*r - 19, 4*r + 7 = 3*g. Let k be (-5 - (755 - g)) + 3. What is k rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/44*(-6 - -5). Let u = 1.48 - 1.58. What is the closest to u in o, 0.1, -38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69407425 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27864329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 - 0.6. Let t be -1*((-10)\/8 + 1). Which is the closest to t? (a) v (b) -0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (8 - (28 + -10)) - 25.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11227953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15696 - 502331\/32. Calculate the common denominator of z and 2\/7 - 418\/(-56).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3 = -5*n + 3*n, 0 = -n - 2*j + 6. Suppose n*r - 4*u + 7*u = 3188, -5*u = -3*r + 2420. Round r to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(2) + 4 - sqrt(2)) + 4)**2 + ((sqrt(288)*1 - sqrt(288)) + -2)**2.\nAnswer: -32*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -85, 0.04, -43, 4, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -157. Let t = x - -412\/3. Sort -3, 1\/3, t.\nAnswer: -3, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -54*(-2)\/6*2. Suppose -7*p + 10*p = w. Let d be (3\/p)\/(2\/8). Put -11, d, 2 in decreasing order.\nAnswer: 2, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (8 + -16 - -7) + 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1505 = 15*g - 8*g. Let k = g - 165. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2340\/(-24) + 5 + (-2)\/(-4). Sort j, 5, -1 in decreasing order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -494969277 divided by -3\nAnswer: 164989759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239026 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 316*i**3*p**2 - i**3 + 492*i*o*p + 13*i*o + 13293 with respect to p.\nAnswer: 632*i**3*p + 492*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 24*c**2 - 14*c + 29. What is the hundreds digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218102993?\nAnswer: 218102993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -193392*p*w**5 - 16*p*w**2 - 4*p*w - 2*w**5 - 6*w**2 - w wrt w?\nAnswer: -11603520*p*w**2 - 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 1141 = -14*y. Let q = y + -148. What is the remainder when 43 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5600\/7200*(-45)\/(-3 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -25*t - 2. Let x(j) = 7*j + 1. Let u(y) = -2*q(y) - 7*x(y). Determine u(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 302*r**2 - 9*r + 48. Let b be f(5). Is (0 - -4)\/12 - b\/(-21) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394\/(-324)*608\/(-11552)?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/9 - (-42)\/(-9). Let v be -2 - (w + (0 - -1)). Let l(n) = n**2 - 3*n + 2. Let z be l(2). Solve v + z = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -9*k**2\/2 - 3*k + 1. Let t be p(-3). Suppose 4*z = z + t. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -166244?\nAnswer: 166240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 66. Let g = 4 - 0. What is the third derivative of -a**g + 14*a**m + 3*a**4 + 0*a**4 - 6*a**2 wrt a?\nAnswer: 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/1426*62)\/((-2)\/(-7))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9482 and 6336?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -5*b, -5*b = -6*b - 5*r - 8. Suppose -11 - 7 = b*p. Let y be 2\/(-6) + (-318)\/p. Calculate the greatest common factor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48076 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h**2. Let k(b) = -109530*b**2. What is w(k(z))?\nAnswer: -119968209000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -8352.\nAnswer: 1\/8352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*-2*(sqrt(343) + -1 + sqrt(343) + 2 + -1*(sqrt(343) + (sqrt(343) - -1*sqrt(343)))))**2.\nAnswer: -896*sqrt(7) + 22016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -25. Let x be (57\/(-285))\/(7*(-2)\/10). What is the closest to i in x, 3, -5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*t - 71*t - 95 = 0. Factor y**3 - 95 + 72*y**2 + t + y**3 + 16*y**2.\nAnswer: 2*y**2*(y + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9) + -4 + -5 + (38 - 50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + -10.91. Let r = 11.0000002 + i. Round r to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(180) + 1)*2 + (sqrt(180) + (sqrt(180)*-2 + -1 - sqrt(180)))*5)**2.\nAnswer: 2808*sqrt(5) + 58489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((((b\/(b**9*b*b))\/b)\/b)\/b))\/b*b**(-3\/4))**(6\/23) assuming b is positive.\nAnswer: b**(159\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*m - 189, -2*y + 198 = -477*m + 479*m. Calculate the greatest common divisor of y and 969.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/413 and -94\/72303615.\nAnswer: 506125305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3888) + sqrt(3888) + (1 + sqrt(48))**2 + -2 + -3 + 4.\nAnswer: 50 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 8 + 33 - 5*h + 0 in the form f*h + j and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 922561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x**3 + 8*x**2 - 2*x + 14. Let q(k) = -2*k**3 - 3*k**2 + k - 5. Give 3*f(g) + 8*q(g).\nAnswer: -g**3 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 - 7*k**2 - 6*k + 13*k**2 as r + f*k + g*k**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2012117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194196252?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43762 is divided by 99?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -160 - 25 = 37*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 22 = -4*i + 13, -4*z + i + 15 = 0. Let b(l) be the first derivative of -z + 0*l**3 + 0*l + 0*l**2 + 1\/4*l**4. Factor b(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1\/2 (b) -0.3 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*c + 4*u, -21406*u + 17 = -5*c - 21398*u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10960 divided by 4?\nAnswer: 2740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*k**2 + 456*k**2 - 7 + 7.\nAnswer: 756*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*t - 16, 0 = -2*j - 2*t + 4*t + 56. What is the least common multiple of (-10)\/(-15)*69 - 4*1\/(-2) and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 48 + -1 + (-44 - -78) + -39.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-4680)*-90 - 5*442\/276?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 - 7085*q + 42690 = 0. Calculate q.\nAnswer: -1423, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 4*i - 3*o, 3*i = 7*o - 174028 + 173948 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156768, -313532, -470296?\nAnswer: -627060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4 + 158*r**3 + 837*r**2 - 3530*r - 9128 = 0. Calculate r.\nAnswer: -7, -2, 4, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*sqrt(80)*1*1 - (1*sqrt(80)*2 + -4*(sqrt(80) + sqrt(80)*2 + sqrt(80))))**2 + 5.\nAnswer: 32002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 6261563?\nAnswer: -6261564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhda when four letters picked without replacement from nndhnhdadkd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 + 3 = -s, -v + 6 = 3*s. Differentiate -4*g**2 + 3 - v + 3 + 1 with respect to g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.041 (b) 70 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 + 7*u - 1 - 2*u - 4*u. What is z(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0083 and -3?\nAnswer: 3.0083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 42335?\nAnswer: 42357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22306 is divided by 814?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-112) + (-258)\/(-42). Let s(p) be the first derivative of -p**3\/3 + 5*p**2\/2 + 18*p - 1. Is 10 a factor of s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.83 and 6658.19670525.\nAnswer: 6659.02670525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1607506 (base 12) to base 9\nAnswer: -8405526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000180197795 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y - 9. Let i be (-39)\/y - (-6)\/9. Suppose 0*x = -i*x + 75. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 4. Suppose 0 = -2*y - r + 57, -p*y + r + 11 = -48. Suppose v - y = j, 0 = -4*v + 2*j + 151 - 41. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2 + 6 + g + 2. Let w(t) = 32*t - 4. Let h be w(1). Let s(d) = -58 + h + 31. Calculate -k(o) + 5*s(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95568 - 63963 = -1664*g - 109843 - 26616 for g.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:56 PM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 9*x**2 - 2*x - 13. Let h be o(-9). Suppose 4*z + 4*a - a - 79 = 0, -4*a + 99 = h*z. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -2*a - 5*t + 25416, -3*a - 5*t = -38129. Let b be a\/(-3) + 4\/6. Let w = b - -33805\/8. Calculate the common denominator of 39 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -22*i**3 + 25*i**2 - 72*i + 202. Calculate x(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 377.9 - 382.9. What is the biggest value in 1\/4, i, -12, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 - 143\/33 - 5\/3. What is the units digit of 169212\/120 + p\/(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 1614654?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from asuruoaugoasso.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + c**2 + c. Determine f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d*d\/(d*d\/(d*d\/(d\/d**26*d))*d)))*d**(-24)*d\/d**18*d*d*(((d*(d\/((d\/d**(2\/7))\/d))\/d)\/d)\/d)\/d*d)**(-13) assuming d is positive.\nAnswer: d**(1430\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -1\/3 + l**4 - l + 1\/3*l**5 - 2\/3*l**2 + 2\/3*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiyiyy. Give prob of picking 2 i and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398 - 372. Suppose -4*g + 4*d = -156, -133 - 82 = -5*g + d. Let j = g + -26. Calculate the remainder when w is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33270910054 and 0.11.\nAnswer: 33270910054.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-6) + (-6)\/(6 - -12). Suppose 28 = 7*l - k. Suppose u = -l*z - 0*u + 2, -2*z = 5*u + 13. Solve 0 = 3*p - 5*g - z - 0, g + 17 = -5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 7, -3\/7, 1\/4, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**3 - 21*v**2 - 113*v + 39. Let w(a) = -5*a**3 - 11*a**2 - 66*a + 20. Let h(c) = 3*g(c) - 5*w(c). Calculate h(-5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/22)\/(((-35)\/(-20))\/7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, q: 2}. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 998*l - 528. List the prime factors of t(12).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllrrllxbxtbdt. What is prob of sequence tl?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -36) + 4 + (-24 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5, -2\/139779, -1\/5, 25 in increasing order.\nAnswer: -5, -1\/5, -2\/139779, 1\/2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 >= -321\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(29\/(-812) - (-2916)\/112)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 41 = 4*z - 3*b, -4*z + 38 = 2*b. Let t be (21471\/85)\/(2\/z). Suppose 4*q = -5*p + t, -3*q + 2*p = -0*p - 953. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let n(g) = 3*g**3 - 3*g**2 - 18*g + 3. Determine n(h) - r(h).\nAnswer: 3*h**3 - 2*h**2 - 18*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 60. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, 2.46, 73\/4?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 1\/3, 586, 1\/4, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n - 47*n + 130 = 0. Let j be 0 - -2*n\/(-358). Which is greater: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(72)\/sqrt(2))\/sqrt(3) + sqrt(12)) - sqrt(17)*2*5*-6.\nAnswer: 121*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3753 and 7908127.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 3*n**2 - 36*n - 14. Determine m(7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3783)\/(-468) + 1\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9366 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 13*m**2 + 15*m - 18. What is d(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 728 and 208910?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4599924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 163799\/5261024 + (-6)\/192. Is 0 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 + 43. Which is the nearest to -0.1? (a) -1 (b) -5\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 48. Let b be f(13). Let t = -9 - -9. Suppose t = 2*n - 3*n + 36. Calculate the highest common factor of n and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0337 times -1161635\nAnswer: -39147.0995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 35. Determine h(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1743, -3491, -5239, -6987, -8735, -10483?\n\"Answer: -1748*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7) + -4 + sqrt(21)\/sqrt(3) + 5)**2 + 5 - (5 + (sqrt(280)\/sqrt(45))\/sqrt(8))).\nAnswer: 11*sqrt(7)\/3 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**2 + 59*t + 31. Let f be q(15). Which is bigger: f or -1\/112?\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4568, -3\/7, -2\/7, -3 in decreasing order.\nAnswer: 4568, -2\/7, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 15*n**2 + 20*n + 2. Calculate w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 - -297. Suppose 4 = -4*x - 0*x. Put x, -4, 2, c in descending order.\nAnswer: c, 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1843491 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 37*g - 142. Calculate the lowest common multiple of 144 and n(7).\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u**(-3\/13)\/u))*u**(-1\/9)*u\/(u**(-18)\/u)*u**(-5\/9)*u assuming u is positive.\nAnswer: u**(745\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 193 + 567 = 0. Suppose 2*z - 352 = -w. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**4\/5 + 1266*k**3\/5 + 38481*k**2\/5 - 838302*k\/5 - 1820448\/5 = 0.\nAnswer: -387, -49, -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 625818 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 2*q**2 + q. Let u(m) = m**3 + m**2 + 1. Let h(x) = 2*f(x) + 2*u(x). Let v be (0 - (-1)\/(-1)) + -1. What is h(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 7*x**5\/60 + 5*x**4\/8 - 12*x**2. Find the second derivative of k(d) wrt d.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:34 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -5, 9, -3, 7 in descending order.\nAnswer: 9, 7, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*b**3 + 31*b**3 + 36*b**3 - 31*b + 32*b + 883 + 1189 to k*b**3 + f + x*b**2 + o*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16861 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let t be -1*(-2)\/(3 + -2). Let o(w) = -w. Let z(c) = 92 + 3*c - 92. Let a(q) = t*z(q) + 10*o(q). Calculate y(a(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjjyqjjyjq. Give prob of picking 1 y and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {i: 6, c: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8847556 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(2\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 4:28 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8.06. What is the second biggest value in g, 2\/3, -3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*m - 2258 = 74698 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.83421 and -1.37.\nAnswer: 5.46421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 2*u + 1. Let l be z(-1). Suppose l = -p - d + 108, 0 = -0*p - 2*p + 5*d + 195. List the prime factors of p.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -508?\nAnswer: -101.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 2*k + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1)\/((-2)\/(-4)). Let f = -15 + 16. Factor z + 0 - p**2 - f + 0*p**2.\nAnswer: -(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -437 (base 9) to base 15.\nAnswer: -18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - 37 - -112 - -29.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 53*a**2. Let s(h) = h**3 + 7*h**2 + 5*h - 8. Let l = 124 - 130. Let v be s(l). What is the hundreds digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -85, -297, -709, -1387, -2397, -3805, -5677?\nAnswer: -8079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Let j = -291 - -5833\/20. Let u = j + -9\/10. What is the second smallest value in 5, y, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0409387 to 3 decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121 + -116. Sort 3, r, 1 in descending order.\nAnswer: r, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.591 + -0.62. Let m = -0.09 - 0.084. Let p = m + i. Round p to two dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -28, 29060, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 + 4570*j - 9136 = 0.\nAnswer: 2, 4568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*r + 1825, -2*r - r + 3*l = -1107. Is r a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Suppose 3*w - 9 = 0, -y - w - j*w = -1240483. Suppose 0 = 3*v - y - 409526. Round v to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1073*q**4 - 11*q**3 + 2*q**2 + 2913*q + 1 wrt q.\nAnswer: -25752*q - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 26 = -2*c, 1759506*c - 65 = 1759527*c - 5*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106964817 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 6*v + 16. Let q = 4 + -6. What is the lowest common multiple of q\/v - (-116)\/14 and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 3. Let k(d) = -45*d + 27. Let q(w) = 2*k(w) - 18*t(w). Let s(c) = -97*c. Determine q(s(r)).\nAnswer: 1746*r","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p = 29*p + 3090. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9460\/(-1320) - 2\/(-12). Let i(m) = -m + 8. Let l(o) = 1. Let z(c) = -i(c) + 4*l(c). Calculate z(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36\/(-27)*(-27)\/12. Let t(h) = 2*h**2 - 3*h + 2. Give t(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -19. Suppose n - 24 = -3*n. Solve -b*a + 26 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 6. Let r be s(6). Let a be (-45)\/(-195) - 1062\/2574. Sort a, r, 0.3, 2.\nAnswer: r, a, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 306238340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 134133a (base 13) to base 10\nAnswer: 6057685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 + 141*p + 73. What is g(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14523 + 14525. Factor 8\/9*r**3 - 2*r**u + 0 + 4\/9*r.\nAnswer: 2*r*(r - 2)*(4*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 914.4721l to millilitres.\nAnswer: 914472.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -563, -668, -809, -986?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 199.933148 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 25.191.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (-12 - -3 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {q: 2, o: 1, z: 1, m: 1, e: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -727.56*0.212.\nAnswer: -154.24272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbfrvrv. What is prob of sequence ri?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 31*y - 33*y = 160, -r + y = -32. Solve 18 = -r*j - 14 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, v: 3, k: 8, g: 1, c: 2, w: 1}. Give prob of sequence vhc.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 714, 433, 3, 4, -5 in descending order.\nAnswer: 714, 433, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 13. What is the biggest value in z, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4468*z + 2 + 8937*z - 4468*z)*(-z**2 + 4*z**2 - z**2) as r*z + w + j*z**3 + b*z**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -544*t**2 - 2*t - 3856. Let p(a) = -543*a**2 - a - 3763. Let b(z) = 3*p(z) - 2*w(z). What is the first derivative of b(y) wrt y?\nAnswer: -1082*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {m: 1, u: 1, t: 2, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 30. Let b(f) = -7*f - 11. Let u be b(0). Let v be h(u). Let m(o) = v*o - 12*o - 3*o. Let z(t) = t**2. Determine z(m(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7724 is divided by 102.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/41, -4, 0.4, 3 in ascending order.\nAnswer: -4, -15\/41, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114311*v**2 + 25 + 114311*v**2 - 25 - 69*v**3.\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -74, 2 in ascending order.\nAnswer: -74, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019.589 minutes in nanoseconds?\nAnswer: 61175340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53157*x**2 - 65117*x wrt x?\nAnswer: 106314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (76 - -64 - 106) + 33 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 20. Let a = 5 + f. Put 3\/2, 0, a in increasing order.\nAnswer: 0, 3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44817777*f**2 + 7485221.\nAnswer: 89635554*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 6 = -4*f, -5*f + 0*a + 24 = 2*a. Suppose 25 + 7 = 4*d - f*l, -4*d - 8 = 4*l. Suppose -q - 28 = -d*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 687, 340, -383, -1596, -3413, -5948?\n\"Answer: -19*q**3 - 74*q**2 + 8*q + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291077770.\nAnswer: 2, 3, 5, 11, 67, 79769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4627\/5337 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1115*a + 1161*a + 276 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**3 - 2100*l**2 + 123082*l - 563160 = 0.\nAnswer: 5, 57, 988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -614 - -611. Sort c, -23, -2 in ascending order.\nAnswer: -23, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*x - b, -3*x + 11 = -0*b - 5*b. Let u(a) = -10*a**3 + 7*a**2. Let n(j) = -15*j**3 + 11*j**2. Let p(r) = 5*n(r) - 8*u(r). Does 18 divide p(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9065777 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeeepuneuewouwun. What is prob of picking 1 w and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/3 + 2*(-3)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o + 4. Suppose -4 = f + f. Let d be i(f). Let h be (2 + -1)\/(6\/72). Calculate the highest common factor of h and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let i(h) = -2*h**2 - 9*h + 600. Give n(i(v)).\nAnswer: 4*v**2 + 18*v - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-952)\/(-32) + ((-8 - (-780)\/48) + 2 - 11).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/9 - 10*m\/3 + 68\/9.\nAnswer: -2*(m - 2)*(m + 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85050 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p*p\/(p*(p*p**(2\/3))\/p*p*p))\/p*p))**(-5\/16)*p*p\/p**(-2\/5)*p*p\/(p**6*p)*p assuming p is positive.\nAnswer: p**(-509\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 18*c - 7. What is x(9)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87720 is divided by 20119.\nAnswer: 7244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 121 = -2*s + 4*r, -144*r + 113*r = -s + 1142 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -6844, 0.5, -0.3 in decreasing order.\nAnswer: 0.5, -0.3, -3\/2, -6844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 5:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012000 (base 4) to base 12.\nAnswer: -4b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/5 - 146*x**4\/5 - 142*x**3\/5 + 146*x**2\/5 + 144*x\/5 = 0 for x.\nAnswer: -72, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 190.4468 millilitres?\nAnswer: 0.1904468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 6. Let k = -6.9 - m. Let h = k - 9.099947. What is h rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:55 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsssctr. What is prob of picking 1 c, 1 r, and 2 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19750620 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5*p - 4*p)*(-p**2 - 3*p**2 + 3*p**2) - 2*p**3 + p**3 + 4*p**3 + 0*p**3 - 2*p**3 + 3*p**3 + (-11 + 1 - 3)*(5*p - 2*p**3 - 5*p).\nAnswer: 28*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t + 0*t**4 - 4 - 9*t - 3*t**4 + t**4 in the form o + q*t**4 + g*t**2 + j*t**3 + a*t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 20*k**2 + 6. Let d be m(-5). Calculate the highest common divisor of 46 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -2. Let p(s) = -3*s + 1. Let d be p(-1). Suppose 4*z - 12 = -v, -d*z - k*v = -7 - 5. Solve -z*q = -5*w - 35, -4*w = 5*q - 10 + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 - z - 1. Let h(b) = 22*b**2 + 6*b + 83. Calculate -h(d) - 6*x(d).\nAnswer: 26*d**2 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -379*h**2 - 253*h + 1210. Let t be r(98). Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 116*i**2 - 5*i - 4. Calculate the remainder when o(-1) is divided by 77.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1227\/564239 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.05 - -15.15. Let m = p + -16. Let s be 3\/(-4) + 2\/4. What is the closest to m in s, 4, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {r: 6, u: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*((-5)\/3 - -2). Suppose -29 = -5*m + 3*q, 4*q = -m - 2*m. Suppose -3*a = m*g - 14, 5*g - 2*a = 3*a + 35. Put g, -4, v in decreasing order.\nAnswer: g, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 - 4*z + 28. Let v be l(10). Suppose 958 = -6*c + 316. Let k = c + v. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5) - 1)\/((-21681)\/269005) + -9\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 9*j + 10. Let k be f(-10). Solve k = 2*q + 9 - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*(-6)\/7. Let a = -1173 + 1173.9. What is the second smallest value in z, 1\/2, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16846111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 z, and 1 t when four letters picked without replacement from zvvgvtvvvvtvvvzv?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24108 and 48216.\nAnswer: 48216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 5)*(-6 + -1). Suppose x = 2*q - g, 2*q - 4*g = 3*q - 17. Let h = -1 - -4. Solve 1 + q = -h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 205 and 3854?\nAnswer: 19270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1944 and -103\/2955852.\nAnswer: 5911704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -339*c + 316*c - 690. Put 8, -3, 1, c in decreasing order.\nAnswer: 8, 1, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 1 = p, -5*l + 22 = 34*p - 38*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -19 (b) -4 (c) -2 (d) 4 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b = 72*b + 91. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 6. Let y be 18*18\/(-24)*(-4)\/6. Let x(c) = y - 3 - 7 - c. Calculate i(g) + 4*x(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/30)\/((-12)\/16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/11 + 14*r**3\/11 + 34*r**2\/11 + 34*r\/11 + 12\/11 = 0. What is r?\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/5 + 567*g\/5 - 3724.\nAnswer: -(g - 532)*(g - 35)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = 1033*w - 1040*w. Factor -3*q + 39*q + w*q**2 - 16 + 28*q.\nAnswer: 4*(q + 2)*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58394051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 7. Let r be o(11). Factor r*m**4 + m**4 - 3*m**4 - 2*m**2.\nAnswer: 2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b + 21*b + 3*b)*(-3 + 3*b + 3) + 5*b - 5*b + 8*b**2 to the form v*b**2 + r*b + y and give v.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96559\/21 + 4599. Let l = 5\/7 + s. Which is the second biggest value? (a) 4 (b) 2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8122 - -8?\nAnswer: -8113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 411881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*j + 14, -13*r = 3*j - 14*r + 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w**3 + 7*w**2 + 6*w. Calculate g(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*3*8\/(-3). Let l = m + -5. Suppose 5*t + y = 182, l*y = -5*t - 0*t + 186. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 20\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-14*1\/4*(-145)\/((-1877750)\/(-296))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/13)\/(x\/(x*x\/x**(1\/24))*x) assuming x is positive.\nAnswer: x**(11\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/22148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -519*j*s**3 + 50*j*s**2 + 4384*j*s - 386822650*s**3 wrt j.\nAnswer: -519*s**3 + 50*s**2 + 4384*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from pppf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1828 by 457.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10781112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 129 = 35*t + 346 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10100100101111011011 (base 2) to base 6\nAnswer: 22243551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 883792 by -112.\nAnswer: -7891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2250331 (base 10) in base 13?\nAnswer: -60a375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -208*z**3 + 5*z**2 + z - 19. Is l(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = y - 23, 55 = 5*q + y + 4*y. Suppose z - 28 = q. Let a be -3 + 1 + 85\/z. What is the closest to -2 in a, 3\/4, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/9)\/((-6)\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15631\/3946186 + 5\/2147. Does w = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**3\/3 + 33*j**2 - 360*j - 3447. Factor y(q).\nAnswer: -(q - 60)*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-8) + 1 + 1. Suppose 19 - 34 = 5*j. Put 1\/6, m, j in decreasing order.\nAnswer: m, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.629962mm to meters.\nAnswer: 0.007629962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2. Let z(c) = 2*c - 25. Calculate z(a(w)).\nAnswer: -8*w**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 2391788.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + -2.\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4532, -4525, -4514, -4499, -4480, -4457, -4430?\nAnswer: -4399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -558 by -62.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r + 0 - 5 + 5.\nAnswer: -22*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {t: 1, b: 1, h: 1, s: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45821 or -38180?\nAnswer: -38180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -2. Let m(w) be the first derivative of w**3\/3 + w**2 - w - 4. Give m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1192\/427 + 4\/61. Find the common denominator of a and -7\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -2 in decreasing order.\nAnswer: 0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-2*6)\/2. Solve p - 5 = -y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 - 11793*z**3 - 11583672*z**2 + 11595468*z = 0. What is z?\nAnswer: -1966, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -175.972?\nAnswer: -52.7916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*v**3*v**(-15\/4)\/v**6)**46 assuming v is positive.\nAnswer: v**(-1817\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -52*j + 1108. Let u be v(12). What is the greatest common divisor of u and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (1 - 11 - -4)) + -25 + 6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -670 in -539, 0.1, 1, -4?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -2\/13, 5\/8, -0.4, -3.\nAnswer: -5, -4, -3, -0.4, -2\/13, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 7\/(-5))\/(22 - 872\/40). Let u(p) = 5*p**3 + 2*p**2 + 6*p - 2. Let n(t) = -t**3 - t**2 + t + 1. Determine v*n(c) + u(c).\nAnswer: 3*c**3 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + x = -0*n - 882, 0 = 2*n + 4*x - 366. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 x when four letters picked without replacement from {h: 1, d: 4, x: 3, y: 7, i: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*q - 1396*q + 16 = 3*b - 28, 3*q = -2*b - 50 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 1\/11, 2\/7, -0.3, 0.011?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.098 + 0.002. What is the second smallest value in g, 3, 2\/23, -1\/6?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 3*s**2 + 2*s - 2. Let f be x(2). Let t be (-2)\/4 - (-3)\/f. Solve t = -2*y + 6 + 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**4\/24 - q**3\/3 + 2*q**2. Let g be y(9). Suppose 21 + g = 4*a. Calculate the greatest common divisor of 77 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21145\/437 + -921\/19. What is the nearest to s in 0.3, -7, -0.26, 3?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 + 725696*j\/7 - 32914667776\/7.\nAnswer: -4*(j - 90712)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 4 + 2*s - 5)*(-3*s**3 + 3*s**3 + 2*s**3) to the form t*s**3 + y*s**4 + i*s**2 + f + k*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795198 = 89*r - 14*r + 797598 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -36. Suppose q*g = 4*g + 328. What is the remainder when g is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 13*s**2 - 8*s**2 + 7*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175465627 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 - 90*h**3 - 160*h**2.\nAnswer: -5*h**2*(h + 2)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -121021121110020?\nAnswer: -121021121110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 3, -4, 0.4, -19 in descending order.\nAnswer: 3, 0.4, -4, -19, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2. Let m(z) = -8*z + 2. Let c(v) = -15*v + 5. Let g(j) = 4*c(j) - 10*m(j). Calculate g(f(d)).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 637 + -626. What is the nearest to 2 in 1\/2, 0.2, m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2150 and 44075?\nAnswer: 88150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270 < 10416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = 4*b, -4*f - b - 51 = 0. Is -12 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p + 5*s - s, -2*p + 3*s - 3 = 0. Suppose -6 = -d - 0. What is the least common multiple of 4\/(-2)*p\/d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 198*i - 38 = j - 107*i - 93*i, -2*j - 74 = -26*i for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 411600 + -98381. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6 - -2. Let y = -4.4 - 0.6. What is the nearest to 1 in y, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6117\/236 + -69\/59. What is the common denominator of x and 1\/2*558\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*p + 3 - 180*p + 98*p - 5*p.\nAnswer: -307*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37676832.\nAnswer: 2, 3, 392467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, u: 1, j: 6, i: 1}. What is prob of picking 1 i and 2 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2694*n**2 + 30*n - 4*n**3 + 2694*n**2.\nAnswer: -4*n**3 + 30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)*k)\/k*k\/(k\/(k*k\/(k**(-7)\/k*k))*k))**(-3\/17) assuming k is positive.\nAnswer: k**(-73\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 p when three letters picked without replacement from nnnqnpnpnnlpxpx?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-8))\/(4\/16). Let v(c) = c**2 + 3*c. Let t be v(k). Suppose 2*r + 5*q - 8 = 31, t = -5*r + q + 84. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -48, -2, 127 in descending order.\nAnswer: 127, -2, -21, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/6 (b) -2 (c) -0.3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12224 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d37 (base 15) to base 5.\nAnswer: -43402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*p + 3*p - 3*p - 3*p + 25 - 5 = 3*u, -2*p - 6 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -2. Let t = -3.73 - -3.6. Let u = t + 0.03. What is the nearest to u in s, -1, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5040, -20147, -45314, -80529, -125780, -181055?\n\"Answer: 2*t**3 - 5042*t**2 + 5*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645008 is divided by 1658.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*i + 11994 = 13*i + 736*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5627.251 millilitres to litres.\nAnswer: 5.627251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/4 + 4*w**3\/3 + 2*w**2 - 244*w - 3. Let n = 2 + 1. What is the units digit of i(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + 6*sqrt(2)*3) - (sqrt(24)\/(-3*sqrt(1452)) + 0).\nAnswer: -2969*sqrt(2)\/33 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - 9. Let h = -23 - c. What is the remainder when 88 is divided by 62*(-2)\/h + (0 - 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1.6. Let o = m - 2.51. Let z = o + -0.89. Is -2 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100.1 - 113. Let y = -1.9 - c. Let o = y + -10.9947. What is o rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.06. Let c = 0.06 - f. What is the biggest value in -2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -13*k**2 + 87*k - 80. What is f(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2037*v - 20371. Determine c(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 26329650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89785 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 + 4735*b**2 - 2*b + 2120 wrt b?\nAnswer: -6*b + 9470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(160\/16)*2\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002865 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 10. Let y be o(-4). Let t(m) = 6*m + 31. What is the tens digit of t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/25*(2\/16)\/((-1139)\/18224)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3438*h = -3745*h - 4605 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (562\/(-10))\/(-1) - (7\/25 + 3888\/(-48600)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 5*o**4\/12 - 40*o - 4. Let b(x) = -94*x**2 + 3*x. Determine b(c(z)).\nAnswer: -2350*z**4 + 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhuxzryhy. Give prob of picking 1 z and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 6 - (0\/3 - 3). Let c be 2\/1*(-7)\/(-2). Suppose s - c = r. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1068, 1333, 1600, 1869, 2140, 2413, 2688?\nAnswer: 2965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = 4*a, a + t + 15 = -2*t. Let l(y) = y + 2. Let m be l(-2). Suppose 3*c = -m + 6. What is the smallest value in c, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2649 - -2643. Which is bigger: -384\/85 or p?\nAnswer: -384\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11337)\/(-2) - (-11)\/22. Let a = m - 3936. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1255 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 5)*(4 + 0 - 2)*(-3*a**4 + 4*a**4 - 2*a**4).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78324022 and 1722?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0\/(12\/4))\/1)\/(-1). Is 18 a factor of 4 + z - (9 + -1 + -44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - 4)*((-432)\/(-45))\/(-6). Let b(s) = s**3 - 17*s**2 + 14*s + 30. What is b(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of q**6\/120 + q**5\/60 + q**4\/24 - q**3\/6 + 17*q**2. Calculate r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (35\/(-21))\/(2\/(-6)). Let v = t - 0. 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 b be ((-42)\/10)\/(7\/(-105)). Suppose -5*r + b = -57. Suppose 2*h - r = -0*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122268 is divided by 122096?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h**2 + 5*h**2 + 1 - 4)*(2*h**2 + 2*h**2 + h**2) to the form w*h**4 + r*h**3 + z + d*h + j*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in four fifths of a micrometer?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.133 (b) -1 (c) -3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.745 - -1.7583. Round i to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + n = 1 - 21, 5*z = -5*n - 10. Let i(q) = 5*q - 9. Let o(p) = -6*p + 10. Let y(l) = z*o(l) - 7*i(l). Let x = 1 + -1. Give y(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*z + 237*z + u - 2 = 0, -6*u = -12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/6*a**2 - 1\/18*a**3 - 1\/36*a**4 + a + 1\/60*a**5 + 0. Factor f(h).\nAnswer: (h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.34 - -4.66. What is the smallest value in l, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -1\/48*m**8 + 2\/35*m**7 + 0*m**4 + 0*m + 0 - 39*m**2 - 1\/40*m**6 - 1\/30*m**5 + 0*m**3. Factor j(s).\nAnswer: -s**2*(s - 1)**2*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/7)*x)\/(x\/x**(1\/4)))**(-2)*(x*x\/(x**0\/x)*x)**(-7\/2)\/(x**(-1))**(-23\/3) assuming x is positive.\nAnswer: x**(-883\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -257, 88, 787, 1960, 3727?\nAnswer: 6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.2 - 29. Let y = 3.8 + u. Which is the nearest to -1? (a) -3\/8 (b) 3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2079525703 to the nearest integer?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**2 - 21*d + 3. Suppose 2*f + b = 9, 14 = 3*f + 4*b - 2. Let t(m) = -2*m**2 - 5*m + 1. Let i(l) = f*g(l) - 15*t(l). Factor i(c).\nAnswer: -3*(c + 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**5\/60 + 11*z**3\/3 - 5*z**2. Let m(j) = j. Let d be m(0). What is the remainder when q(d) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 5 = -58. Is s\/(-24) - (-14054)\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 4*y**2 - 2*y**2)*(4*y - 3*y - 3*y) + 323572*y - 7 + 5*y**3 - 323572*y.\nAnswer: 7*y**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -318*i + 47765. Give y(149).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222 (base 6) to base 15.\nAnswer: -718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 171682.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -565\/126 - 23\/126. Which is the third biggest value? (a) -139 (b) m (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v + 3. Let p(o) = -o**2 + 6*o - 7. Let i be p(4). Let r be m(i). What is the units digit of (-1)\/r - (-860)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/3 (b) -0.004 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000442062 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3945379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 9996272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/7*f - 12 + 4\/7*f**2.\nAnswer: 4*(f - 3)*(f + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -t. Let j(v) = -v + 1. Let s(p) = 7*p - 6. Let d(k) = 6*j(k) + s(k). Give d(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1330649*k**2 + 184*k - 184. Is a(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 2480 + 46*t**3 - 2480 to the form p*t**2 + a + v*t + q*t**3 and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -14.8 + -17083233080?\nAnswer: -17083233094.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-16)\/(x*x**(2\/31)*x)*(x**(7\/3))**(-24) assuming x is positive.\nAnswer: x**(-2296\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 - 7*w**2 + 7*w - 1. Let u(f) = -2*f + f**3 + 9*f - 2*f - f**2 - 4*f. Give -2*m(j) + 14*u(j).\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 233*v**4\/4 - 795*v. Let w(i) = -2*i. Give w(r(g)).\nAnswer: -1398*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -341*c + 334*c + 60 + 150. What is the highest common factor of 14010 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, 0.14, 0, -3\/2 in decreasing order.\nAnswer: 0.14, 0.01, 0, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.37 - -10.37. Sort -1\/44, 4, t, 5 in increasing order.\nAnswer: t, -1\/44, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -21*g**2 - 6*g - 3. Let n(x) = -14*x**2 - 4*x - 2. Let a(q) = 8*n(q) - 5*y(q). Let j(t) = t**2. What is a(k) + 6*j(k)?\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u - 11. Let g(w) = -w - 2. Let m = 12 - 12. Suppose o + 4*o - 25 = m. Suppose -5 = 5*q + o. Give q*j(k) + 11*g(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -13*z + 52 + 11 - 52 + 0 + 57*z. Let k(h) = 9*h + 2. Determine -11*k(a) + 2*o(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -4*a + 24, f + 2*f = -4*a + 26 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320.322 - 320. Let g = q + -0.535. What is g rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -985*s + 994*s = -405. Put -5, -1, -2, s, 0 in decreasing order.\nAnswer: 0, -1, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - r + 8136, 0 = -f + 3*r + 1044 + 3010. What are the prime factors of f?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*l - 2, -l = 125 - 121. Solve 0 = 4*j + 3*f - w*f + 20, 3*j = 3*f - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*m + 4*t + 62 - 257, 0 = -m + 12*t - 475 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 34. Suppose 6*s - h = 3*s. Let f = -14 + s. What is the third biggest value in f, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -49*y + 401. Does 20 divide o(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 1:34 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 283047571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 5, -23\/22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -4 (b) 273 (c) 1\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6027 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 189, 1222, 4019, 9462, 18433?\nAnswer: 31814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0405 + 0.11058. Let k = -0.07 + t. What is k rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 6*u**2 + 3*u - 7. Let j be g(-5). Suppose l - 2*c + 1 = c, -3*c = -j. Suppose -2*q + 82 = 4*w, -2*w - l*q = 2*q - 56. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/2 - (-7)\/(-7). Let t(q) = w - 12 + 2*q + 18 - q. Let p be t(0). What is the greatest common factor of 231 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952132 (base 10) in base 2?\nAnswer: -1011010000101111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let i be -5*-1*3\/5. Suppose -2*w - i*w + 10 = 0. Let d(o) = -25 + 25 + 3*o**w. Calculate d(m(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/156 and 85\/1128.\nAnswer: 14664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 - -123. Is 15 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x**3 + 11*x**2 + 8*x + 11. Let o(z) = -4 + 13*z**3 - z**2 - 3*z**2 - 9*z**3 - 9*z**3 - 3*z. Give 4*d(j) + 11*o(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q**(-1\/4)\/q)*(q*q\/(q*q*q**(2\/5)*q))**(-44))**(-2\/13) assuming q is positive.\nAnswer: q**(-1197\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*g - 3*f + 10242 = 60*g, 5*g = 2*f + 12814. What are the prime factors of g?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) -28 (b) -50\/3 (c) 2\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*h - 29598 = -3*z + 717*h, 5*z + 2*h - 49292 = 0. What is the highest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4270091087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.002612 years in decades?\nAnswer: 0.7002612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 12?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 - 3 = 0, -2*j + 1 = 5*b. Suppose 5*x = 3*n + 24, j*x = -6*n + n - 6. Solve x*g - 3*k - 3 = -4*k, 4*k + 1 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47148093 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29016131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -440 - -305. Let c = o - -246. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-84))\/(-1)*726368\/16. Let t = o + 9724\/9. Calculate the common denominator of -20\/49 and t.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-9))\/(4\/9). Suppose 2*q = 117 + b. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5625310398962 + 5625286369293.99913. Let s = u - -24029778. Let o = -110 + s. Round o to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -18*u - 1. Let j(p) = -41*p - 5. Let w(k) = -9*c(k) + 4*j(k). Give w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/5)\/(-2*(-1)\/5). Let l(y) = 2*y**2 + 3*y. Let o be l(j). Factor 1\/4*i**4 + 1\/2*i**o + 0*i + 0 + 3\/4*i**3.\nAnswer: i**2*(i + 1)*(i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*i + 5*m, 0*i - 12 = -4*i + m. Let r(c) = 13 - c**3 + 9 - 6*c**i + 7*c**2. What is the units digit of r(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3*u*x - 18*j**3*x**2 - 109*j*u*x**3 + 2*j*x**3 wrt u?\nAnswer: 2*j**3*x - 109*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/12 and -79\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*5*sqrt(200) + sqrt(200) + (sqrt(200) - ((sqrt(200) - 2*sqrt(200)) + -5)))*6 + -4 + -5)**2.\nAnswer: 70560*sqrt(2) + 5645241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1585430 divided by -4466.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-7504.43.\nAnswer: 97557.59","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401725?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:33 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 54.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or 29522270?\nAnswer: 29522270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -326, -1302, -2928, -5204, -8130, -11706?\n\"Answer: -325*c**2 - c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*r - 165*r - 169*r + 493*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 2. Let p be t(5). Suppose -p*h + 4 = h. Calculate the least common multiple of (2 + 0 - h) + 9 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1372) + -2*sqrt(1372)*-6))\/((sqrt(72)\/(sqrt(24)\/sqrt(4)))\/(sqrt(3) - sqrt(6)\/sqrt(2)*-2)).\nAnswer: 819*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.9666773 rounded to 3 dps?\nAnswer: -25.967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12017, -12018, -12019, -12020?\nAnswer: -12021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, s: 3}. What is prob of sequence sj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(38) - sqrt(304)\/sqrt(200)))\/(sqrt(128)*-2 + sqrt(2)) + (1*sqrt(114)*-2)\/(3*sqrt(24)).\nAnswer: -26*sqrt(19)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30302*h - 38 = -2*g + 30296*h, 7*g - 3*h = -11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 10, 2*r + 0*r + 12 = 3*q. Let d be (r - -3)*(38\/(-4) + 2). Let i = d + -49. Which is bigger: i or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 + 49512*a + 2483100 = 0 for a.\nAnswer: -50, 16554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1 - 20\/5). Let b be ((-2)\/7)\/(1\/v). Let p(l) = l**2. Let s be p(-1). Sort -4, b, s in decreasing order.\nAnswer: s, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 12*h**2 - 20*h - 171. Calculate t(14).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2050072, -2050083, -2050108, -2050153, -2050224, -2050327, -2050468, -2050653?\nAnswer: -2050888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*n + 46 = 5*j, 4*n - 31 = -3*j. Put 3, -2, j in decreasing order.\nAnswer: j, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znznznnznzznnnzzznz. Give prob of sequence znz.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u - 4. Let s be (-2 - 0)*u\/2. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222920 rounded to the nearest 10000?\nAnswer: 3220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 + 2*p**2 - 3*p - 3. Determine m(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 3475043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, o: 2, w: 2, q: 3, d: 2}. What is prob of picking 2 q and 1 w?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28292 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 17. Let a = 3 - s. Let k = 7 + a. Solve k*h - 1 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(77) + sqrt(77)))\/(sqrt(175)*2 + sqrt(7)).\nAnswer: 8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5153313992 a multiple of 3717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1012020200?\nAnswer: 1012020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -1, -3, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 58740936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 260, 1375, 3204, 5723, 8908, 12735, 17180?\n\"Answer: -4*v**3 + 381*v**2 - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 337564.27499431 - 337563.99. Let a = q - 0.285. Round a to 7 decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6509.99 * 10.\nAnswer: 65099.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -84c (base 14) to base 8\nAnswer: -3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/6 - 22*d**5\/15 + 4*d**4\/3 - 53*d**2. Factor i(u).\nAnswer: 4*u*(u - 4)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -7, -15, -6 in descending order.\nAnswer: 4, 2, -6, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 4, b: 1, j: 5, t: 5, s: 2}. Give prob of picking 2 w and 1 t.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 0 + 0 - (-7)\/((-14)\/(-1172))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**3\/7 + 2838*i**2\/7 + 1005360*i\/7 - 1008200\/7 = 0?\nAnswer: -710, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26969 divided by -5?\nAnswer: -26969\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128*0.12.\nAnswer: 15.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-24)\/(-20)*20*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/54 and -155\/66.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((-1)\/(18\/(-63))). Solve -4*x - 1 = 3*w, n*w - 3 + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43560424.\nAnswer: 2, 5445053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/27, 2\/11, 8894?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-666) + (-1799)\/(-259).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 71306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 19*l**2 - 12. Determine j(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 1. Let p(h) = h**2 - 6*h. Let k be p(7). Suppose 4*f = -3 + k. Suppose 4*q - 5*q = -f. Let u(a) = a - 1. Give q*l(b) - 4*u(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 32, -4 in increasing order.\nAnswer: -4, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23\/707944 or -1?\nAnswer: -23\/707944","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -477340 (base 9) in base 2?\nAnswer: -1000110001100010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 b when two letters picked without replacement from {w: 2, x: 1, b: 1, h: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -2 - 3)\/(-15) + 1. Which is the smallest value? (a) -0.4 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272 a factor of 94400472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2935 = -s - 0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-36))\/(5\/13117525*5). Let c = 29158 - y. What is the common denominator of c and 5\/62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*n - 14 = 0, 19*d - 21*d + 4*n + 4 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1.26, 48, -256, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + (0 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 4*d + 3. Let f be g(2). Solve -7*z - 7 = -f*o - 2*z, -2*z - 8 = 4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*t = 48*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1) - (1 + 1). Let s be 3 + (1 + t - -3). Let b(i) = i**3 - 2*i**2 - i + 4. Is b(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + -1.1. Let f = -13 - c. What is the closest to -2 in -2, f, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvaavvlv. Give prob of sequence vlaa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -18.97. Let l = p + 3.97. Sort l, 3, -0.2 in decreasing order.\nAnswer: l, 3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 8*c - 15. Let q be l(-6). What are the prime factors of ((-231)\/(-11))\/(q\/(-129))?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*w + 161 + 230 = -59. Are -42\/5 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 151*n**2 - 99*n**2.\nAnswer: -256*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 571429876*o**3 + 182161945*o**2?\nAnswer: 3428579256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, c: 3, g: 3, y: 2, k: 3, l: 5}. Give prob of picking 1 g and 1 y.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -375, -573, -777, -987?\nAnswer: -1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c**5\/7 + 100052*c**4 + 1751940532*c**3 + 29429827552*c**2\/7 + 22071705338*c\/7 + 4904761156\/7 = 0.\nAnswer: -35017, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**4 + q**3 - q**2 + q. Let j(g) = 3*g**4 - 2*g**3 + 2*g**2 - 2*g + 38. Let k(w) = -j(w) - 2*u(w). What is the derivative of k(r) wrt r?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12) + 15\/6. Let m be (c + 0)\/((-9)\/72). Is -16 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 17321834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 5?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in 1.5, -0.4, 40?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 512, 513, 548, 635, 792, 1037, 1388?\n\"Answer: 3*p**3 - p**2 - 17*p + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - (2 + 4)) + 4. Suppose -3*d - 3*x = 0, d + b*x - 3 = -2*d. Solve -d*p = 2 - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249*u - 1379 = 2052*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 144\/(2 - -22) + -18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 10 - 36*g**2 - 5.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.0602 * -0.05\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 0 - 10 = 0. Let t(p) = 8*p**2 + 3 + p + p**3 - 20*p**m + 0 + 15*p**2. Calculate t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17390.3705 + 17394. What is j rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**6\/120 + p**5\/10 + 5*p**4\/24 + 31*p**3\/6 + 60*p**2 + 11. Calculate m(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*h + 20 + 1, 4*r + 5*h = -30. Let d(p) = 3*p + 2. Let n(l) = 6*l + 5. Let q(m) = r*d(m) + 2*n(m). Let t(y) = -6*y**2. What is t(q(b))?\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 551.002676 - 551. Round i to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1775327 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 228954101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 360 (b) 0.5 (c) -47\/4 (d) -2\/17 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 0)*(2*g**2 - 6*g**2 + 3*g**2) - 29*g**2 - 191*g + 191*g to the form i + b*g + s*g**2 and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-49.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*g**2 + 74 - 9*g + 12*g + 8*g - 82*g**2 + 3*g to the form b*g + u + j*g**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2. Let c(q) = 138*q. Calculate c(s(j)).\nAnswer: -552*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssnsnnnsnnssssn. Give prob of sequence snn.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3518*d**2 + 5941*d**2 - 25*d**4 + 1476*d**2 + 2385*d**3 + 194 - 1845*d.\nAnswer: -(d - 97)*(d + 2)*(5*d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 15 + -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d - 6 + 5\/24*d**4 - 2\/3*d**3 + 5*d**2. Let c(w) = 2 - 5*w - 4*w + 5. Calculate 4*c(p) + 7*g(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -155 + 139. Factor 8\/13 + 8\/13*x + 2\/13*x**d.\nAnswer: 2*(x + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g. Let b(s) be the third derivative of 19069*s**4\/24 + 6*s**2 - 13. Determine m(b(h)).\nAnswer: 19069*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(425) - -2*sqrt(425)) + 3 + -2 + sqrt(425)*1 + (sqrt(425) - (-1 + sqrt(425) + 0)) + -4 + -1*sqrt(425) + 0 + 1)**2.\nAnswer: -60*sqrt(17) + 3829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7))**(3\/2)\/(i\/(i\/(i\/(i**2\/i)))*(i*i\/(i*i**0*i)*i)\/i))\/((i*i**(-1)*i)\/(i\/(i*i**(-1\/6))))**(1\/2) assuming i is positive.\nAnswer: i**(-71\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 1134*k**2 - 19320*k + 43200.\nAnswer: -3*(k - 2)*(k + 20)*(k + 360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 48 = 28. Suppose -2*n - x + 9 + 8 = 0, -4*x + f = 5*n. Suppose 2*y = 4*y - n, 4*i + y = 45. Calculate the smallest common multiple of 6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313 - 6906. Let t = -5103 - m. Suppose -5*d + t = -d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32503 is divided by 10805?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 24*b - 5*s = 25, s = b - 5. Suppose b = -4*c - 5 + 1, 3*y = 3*c + 711. What is the remainder when y is divided by 84?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 9. Suppose -5*j = -l*b + 2*b - 1, 5*b - 4*j - 16 = 0. Let p be (6\/12)\/(2\/b). Solve -4*d - p = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000040694 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*a - 130*a + 517*a + 348*a.\nAnswer: 840*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 4\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3668 - -3664)*-1*(-201)\/(-12).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = a - 3*m, -5*m - 9 = -248*a + 249*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1303 (base 11) to base 9.\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s. Let d be g(5). Let w be (-3 + 1)*d\/2. Put -0.4, 1\/3, w in increasing order.\nAnswer: w, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -5*t. Let q(h) be the first derivative of -2*h**3\/3 + 11. Calculate q(l(y)).\nAnswer: -50*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42513 and 148?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 6, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3 + (-192)\/(-2). Suppose i - w = x - 6*x, -91 = -i + 2*x. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -104*z**2 - 8*z + 60. Let c(t) = 207*t**2 + 15*t - 118. Determine -8*c(a) - 15*u(a).\nAnswer: -96*a**2 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563616.\nAnswer: 2, 3, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/35)\/(10\/150)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2305 + 0.4\nAnswer: -2304.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127457745?\nAnswer: 3, 5, 443, 19181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 4. Let m be (0\/d - -1)*-23. Let j = -12 - m. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1. Suppose 3*r = 5*r. Let s = r - 1. Let p(f) = 5*f**2 + 5. Let i(j) = s*p(j) - 5*t(j). Let g(y) = -y**2. What is g(i(x))?\nAnswer: -25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + 1)*-6 - (-4 + sqrt(800))**2 - (4 + -1*sqrt(162) + 1)**2.\nAnswer: -1009 + 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**2 + s. Calculate the remainder when o(-2) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1098580585 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338238 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/97 - -1177\/1358. Let u = 411 + -1581. What is the common denominator of a and u\/100 + 2\/(-5) + 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -376868.\nAnswer: 89\/376868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 - -4)\/((12\/(-11))\/(-1)). Is -1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 767?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a - 91. Let y be k(-9). Let b be (30\/3 + -8)*(-3)\/2. Let g(z) = z - 1. Let n(x) = -x + 4. Give b*g(j) + y*n(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 63*p**3 - 2*p + 65*p**3 - 193*p**3 + 64*p**3 as f*p**3 + k + g*p**2 + l*p and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 9*v**2 + 9*v - 6. Let g be s(-10). Suppose -2*j + 2*n + 0*n + 100 = 0, -4*j - 5*n + 218 = 0. Is j\/(-10)*(-10)\/g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -200, -446, -700, -968, -1256, -1570, -1916?\n\"Answer: -f**3 + 2*f**2 - 245*f + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 60029?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217727 is divided by 304422.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d + 28. Let o be i(10). Let m(u) = -105*u - 14. What is the remainder when m(o) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1. Let y(t) = -30*t + 30. Let s(n) = 30*m(n) - y(n). Let r(w) = -159*w - 18. Let i(a) = 9*a + 1. Let k(j) = -18*i(j) - r(j). Determine s(k(l)).\nAnswer: -90*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyyw when four letters picked without replacement from wwwwwwwwywwwwywwww?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 20 = 0. Suppose -104 = -a + 5*m, 0*a + 462 = l*a + 4*m. Suppose 3*r - r = a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 46984, 89960, 132936?\n\"Answer: 42976*v + 4008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 3, 8, 13, 18?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-1)*2\/(-6). Is 1 + (-486)\/(m - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (sqrt(245) - (sqrt(245) + -2) - sqrt(245)))**2 + -2.\nAnswer: 28*sqrt(5) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f + 105. Let s(t) = 31*t - 315. Let o(w) = 17*i(w) + 6*s(w). What is the first derivative of o(b) wrt b?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7202706 times -0.15\nAnswer: -1080405.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 419 = 5*q, -2*z - 3*q = -4*z + 237. Let g = -43 + z. Let h = -64 + g. What is the highest common factor of 12 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 + (-48)\/(-20). Suppose 3*x = n*x - 1244. Let j = 17405\/14 + x. What is the common denominator of j and -73\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893.732 rounded to the nearest ten?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2\/11, -18, 5, -3\/4 in descending order.\nAnswer: 5, 2, 1, -2\/11, -3\/4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 14 = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 99, -5, 4, 9 in descending order.\nAnswer: 99, 9, 4, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*w - 10883 = 2009 + 5234. Calculate the remainder when w is divided by (27\/(-6))\/(1\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z + 15. Let l be m(13). Let n = 19 - l. Calculate the highest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 10\/7*q**7 + 0*q**4 + 0*q + 0*q**5 + 0*q**6 - 26\/3*q**3 + 0*q**2 + 24. Find the third derivative of p(u) wrt u.\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 59*s**2 + 301*s + 78. Calculate f(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -8008.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -667)*4\/(-12). Let q = -126 + y. Let m be 2\/(-12) - 5648\/q. Is -58 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of m**6\/3 - 93*m**5\/5 + m**2\/2 - 5*m + 82. Find the second derivative of o(d) wrt d.\nAnswer: 40*d**3 - 1116*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 3*s - 7. Let k be c(2). Solve 5*p = -h + k, h - 4*p + 12 = -3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m + m + 3*m + ((-4 + 3 - 1)*(4*m + 2*m - 5*m) - 253 + 253 - 2*m)*(-1 - 2 + 1) + 2 + 3*m - 2 to the form d + k*m and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55136, -55047, -54958, -54869, -54780?\nAnswer: -54691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4931 + 5782 + s - 12305.\nAnswer: s - 1592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/60 - 2*w**2. Let i(d) be the second derivative of -1\/4*d**4 + 0 + 0*d**3 + 0*d**2 + d. Calculate g(i(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/19)*o**4)**(-6)\/((o**(-2\/7)\/o)\/(o*o*o**(3\/5)\/o)*((o\/(o\/o**(-1)))\/o)\/(o*o*(o\/o**(-1)*o*o)\/o)) assuming o is positive.\nAnswer: o**(-9806\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssrsnzzzsrsszszzrzz. Give prob of picking 1 s and 3 r.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -15, -10, -5, 0, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 79773, 1 in decreasing order.\nAnswer: 79773, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*u + 120, -6*u + 7*u - 111 = -4*z. Let r = 215 + z. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*m**4*s - 39*a*m**2 - a*m*s - 32*m**4*s - m**4 - 2*m**3 - 15*m*s wrt m?\nAnswer: 72*a*m*s - 768*m*s - 24*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91 + 10*q + 14*q - 33*q + 2*q**2 + 9*q to the form r*q + o*q**2 + s and give s.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-537)\/(-2) - (-2)\/4.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10712699.\nAnswer: 10712699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 210 = 52*r. Solve 5*y + 10 = -5*i, 6*y = r*y - 4*i - 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76996 + -227912.8?\nAnswer: -227912.03004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 5 (c) 3\/5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u - 324 = 0. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 1. Let f(x) = -47*x + 0*x**2 + 5*x**2 + 48*x - 2 - 4*x**2. Calculate f(y) + r(y).\nAnswer: 2*y**2 + y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 862, 1797, 2732, 3667?\n\"Answer: 935*v - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -32*w**2 + 5*w - 1. Let r(i) = -22*i**2 + 4*i. Calculate 3*n(t) - 4*r(t).\nAnswer: -8*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 67, 242, 391, 502, 563?\n\"Answer: -2*k**3 - k**2 + 192*k - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 450029326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*z + z. Calculate the highest common factor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*x + 251 = 911*x + 61 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 k when three letters picked without replacement from {g: 5, d: 4, z: 3, q: 3, r: 1, k: 1}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 4. Let l be (-20 - -15)*p\/(-10). Suppose l*q = -0*q. Solve q*a - 4 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55600277.46 rounded to the nearest 100000?\nAnswer: 55600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 4. Suppose -3*t - 86 = -7*t + j, p*t + 3*j - 50 = 0. Calculate the highest common factor of 55 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13034 - -3?\nAnswer: -13031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 4\/6)*3. Suppose 0*o - 12 = -q*o. Suppose -u - 8499980 = o*y - y, -2*u = y + 16999996. What is u rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 - -250. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**3)\/t*t)\/t)\/t*t**7*(((t\/t**(-4))\/t)\/t)\/t**(-2\/23))\/((t\/t**(3\/7))\/(t\/(t\/((t**(-5)\/t)\/t))))**(-5) assuming t is positive.\nAnswer: t**(7075\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, b: 6}. What is prob of sequence sb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g + 10 = -5*s, -2*g + 22 = -3*s. Suppose -g = -3*m + 10. Let c(y) = -4*y**2 - 3*y**2 + m*y**2. Let f(o) = -o**2. Calculate f(c(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56453*d**3 + 6*d**2 - 7*d**2 + 3*d**2.\nAnswer: 56453*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439 = -5*u - 4*x + 369, 650 = 4*u + 5*x. Let t = u - 83. Let z(m) = 11*m**2 - m - 1. Let n be z(-1). What is the greatest common divisor of n and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-5)*14\/(-266)*-19.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhfjd. What is prob of picking 1 h and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1008*c + 183820 = -450*c + 1462*c for c.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37771*n - 24 = 4*k - 37773*n, -19*k + n = 148 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12241012 to the power of 1\/2, to the nearest integer?\nAnswer: 3499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*u**3 + 9*u**3 + 36*u**3)*(-2*u + 0 + 0).\nAnswer: -354*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.975 smaller than 2803\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143622 by 909.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000141444 rounded to six dps?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8940 and 18749415?\nAnswer: 2235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (66\/9)\/((-4)\/(-6)). Let c = 8 - 12. Find the common denominator of 43\/c*2\/x and -85\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -4*l + 6*l. Suppose 22*y + 39 = 25*y. What is the greatest common factor of y and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 115*f - 684 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 936 = -9*g. Let x be ((-4)\/(-102))\/(g\/18 - -4). Which is the fourth biggest value? (a) 12 (b) -5 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - -1 - 4) + -1 - (-491578 + 491616).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 476 + -476. What is the third smallest value in 2, -1, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*n + 4. Let b be n*((-2)\/3 + 10\/(-3)). Suppose -s + b = 6. Solve 20 = -5*p + 5*c, -s = 3*p + 3*c + 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 34\/7791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 825 - 815. Solve -3*n + d*n = 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 127, 287, 509?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 4. Let t be o(-1). Let y(z) = 3*z**3 + 13*z**2 - 14*z - 17. Let g be y(-5). Solve 16 = -3*h - t*d - g*d, d = 2*h - 11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 7 = d - 0*d, -4*d + 11 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v**2 - 40*v**2 + 4*v**2.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -1\/81, 4, 4\/5?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)*(-3 + (-69)\/(-24))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 + 50 = 0. List the prime factors of -1*104\/(j\/4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.017, 2\/5, 2, -5, 0.3 in descending order.\nAnswer: 2, 2\/5, 0.3, 0.017, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11475 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) 3 (c) 48 (d) 46 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85767764?\nAnswer: 2, 21441941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2\/3*l**3 + 0 + 0*l**2 + 0*l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -278, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -20*o**5 + o**4\/12 - 57*o**2\/2 + 322*o + 2. Find the third derivative of x(y) wrt y.\nAnswer: -2400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.3 (c) -0.079 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -23*x**3. Let u = -135 - -131. Let a(c) = -11*c**3. Determine u*i(h) + 9*a(h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.21 and -11.712.\nAnswer: 96.15552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (371\/70 + 20\/(-4))\/(-1).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 43*l = -1038000. Round l to the nearest 1000.\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 43 - -7c?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25606 and 7378.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688975 + 21*q**3 + 844493 + 844484.\nAnswer: 21*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 + 15 + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from {f: 10, b: 4, n: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 26 = -2*h. Solve -2*n + 4 + h = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -78. Let d(c) be the first derivative of c**2 + c + 1. What is d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3866545454 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*t - 642 = 0, 140 = -x - 3*t + 359. Let i = -207 + x. What is the greatest common divisor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 81 - 86. Which is the second biggest value? (a) x (b) -0.3 (c) -4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:06 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-18)*-3 - 1549184\/(-1160250). Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + -1*sqrt(7) - sqrt(7)) + (-2*(sqrt(42)\/sqrt(6) + sqrt(7)))**2 + 0.\nAnswer: -2*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.53. Let s = 0.13 - f. Let d = -0.3 + 1.3. Which is the closest to s? (a) 5 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 187, 507, 995, 1657, 2499, 3527, 4747?\n\"Answer: f**3 + 75*f**2 - 74*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**6\/12 - y**4\/24 + 3*y**2. Let o be n(1). Calculate the highest common divisor of 3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.2, -5.\nAnswer: -5, -1\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + a - 2*a)*(-2*a + 4*a - a) + 2*a - 124*a**2 + 268*a**2 - 83*a**2.\nAnswer: 63*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 - 10 = 0. Suppose 4*g = 19 + 5. Let q = g - -2. Solve 2*d - q = -b*k, 5*d - 14 - 6 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10275 (base 9) to base 11\nAnswer: -5114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 - -152. Calculate the remainder when l is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11)**31 assuming p is positive.\nAnswer: p**341","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.01886 - 0.01886. Which is the fourth smallest value? (a) w (b) -1\/4 (c) -1 (d) -55 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -10*p - 5. Suppose -p*n = -105 + 10. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.42 - -0.28. Let s = 0.14 - 0.1. Let y = b + s. Which is smaller: 0.2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1679362169.\nAnswer: 67, 25065107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398591691 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*f - 45*f - 1689 = -6329 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 758972339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 11\/2*d**2 + 0 + 7\/3*d**3 - 2*d. Let n(c) = 9*c + 7. Let w = -60 - -55. Give w*g(f) + 8*n(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -815 - -814.98329. What is h rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 48 = -3*w, -1074*l = -1073*l - 2*w + 2 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - 9*t - 110*t**2 + 12*t + 12*t**2 + 141*t**2.\nAnswer: 59*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 14*p**3 + 9*p**3.\nAnswer: -11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000146442 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hihy when four letters picked without replacement from {y: 2, h: 4, i: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45488\/9 or 5053?\nAnswer: 45488\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 7270 = -7314 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 360\/(-1260)*168\/(-12)*-25?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*z + 37*z - 5*z + 5*z to t*z + s and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/647 or 0?\nAnswer: -4\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -499*v**8\/168 + 1497*v**5\/20 - 2*v**2 - 2*v + 2423. Find the third derivative of a(l) wrt l.\nAnswer: -59880*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 87*k + 87*k + 146*k**3.\nAnswer: 146*k**3 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2717, 5432, 8147, 10862?\n\"Answer: 2715*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -337? (a) -5 (b) 1 (c) -1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 17 (b) 11\/3 (c) 1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20288 + 20300 + 149*i**3 - 152*i**3.\nAnswer: -3*i**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 355 + -346. Suppose -3275 = -g*u - 233. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 5, -1, 31\/5, 12, -0.25?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 100, 108, 130, 172, 240, 340?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*y - 2*y = -1207026 - 826088. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2 plus 405016419416?\nAnswer: 405016419418.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 82 - 94. Suppose 12*k - 411 = -j + 14*k, k = -p. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -869 and -0.2.\nAnswer: -869.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1011771.38 to the nearest 10000.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 91*k = -1098. Put 3, k, 2, -5 in ascending order.\nAnswer: -5, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, t: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyyyyyuyuyyyy. What is prob of picking 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 85.7629 and 11.4.\nAnswer: 97.1629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 2 + sqrt(176) - sqrt(176) - (5*(sqrt(176) - 2*sqrt(176)) + sqrt(176)))*-1)**2.\nAnswer: 64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3576 divided by 238.\nAnswer: -1788\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 6*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**5\/120 + n**4\/6 - n**3\/2 + 3*n. Let j(f) be the second derivative of a(f). What is the units digit of j(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = q, q - 3*u - 7 = -2*u. Suppose q*x - 4*s = 8, 2*x = -x + 4*s + 6. What is the units digit of (-40)\/(-1) - (3*x + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (2 - 0)\/(6\/27). Let p = k + 31. Suppose 19*f = p*f. Solve 3*q + f = -9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from meemeeemmemeeemeee?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40625 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 23 = 5*s, -14748 = 5*o - 4*s - 14763 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3951.285 * -1.\nAnswer: 3951.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36109 - 14895. Let i = k + -1060801\/50. Calculate the common denominator of -23\/5 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**32*q**4*q*q**(3\/4) assuming q is positive.\nAnswer: q**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352852739.\nAnswer: 352852739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 8*n + 496. Solve 0 = 3*f - m + n, 2*f + 3*m - m = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*f - 134*f - 166*f - 3*f**2 - 52*f + 324.\nAnswer: -3*(f - 1)*(f + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9146 + -783?\nAnswer: -9929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + j - 1. Let c be x(-2). Suppose 4*l = -a + 25, -a + 4*a + c = 2*l. Calculate the least common multiple of l and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 29 + 11)*(-2 + 0 + 0)*(y**2 - 5*y**2 + y**2) to d + v*y**2 + k*y and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 658. Let m = -129 + r. List the prime factors of m.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = 9*b. Suppose 2*o + 6 = -3*m + 28, b = -4*m + 3*o + 1. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, g: 1, t: 4}. Give prob of sequence pg.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1829*k - 30 = -1839*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2175 and 41\/1045450?\nAnswer: 3136350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21200012201 (base 3) to base 2.\nAnswer: 100100111000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 11*t = 3*w + 9, w - 45 = 5*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*n = 40, 3*n + 7 = o - 0*o. Let t be 13\/12 - (-1885)\/(-2262). Let d = -3 - -2.1. Which is the nearest to t? (a) d (b) o (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 175*g - 39. Give s(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28053 by -3.\nAnswer: -9351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((-8)\/6*(-16107)\/(-1092) - -20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/239130 or -1?\nAnswer: 1\/239130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2 - 132*a*z**2 - 3661*z**2 wrt a?\nAnswer: -4*a - 132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 0.3 (c) 2 (d) 0.5 (e) 0.1 (f) -1\/9484\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + 0. Let g = -45.2 + n. Which is the fourth biggest value? (a) g (b) -4 (c) 4\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 505, 915, 1493, 2233?\nAnswer: 3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d - 29*d + 276 = 18*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.28.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*k - 12*k**2 + 5602 - 93*k - 5602.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 3*y, 2*y - 3*i - 12 = 6*y. Suppose 0 = -y*u + 3*u. Let l(a) = -a**2 - 2*a - 3. Let x(n) = -n + 1. Let o(w) = -l(w) + 3*x(w). Give o(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/2 + 10*i + 502581\/2 = 0. What is i?\nAnswer: -699, 719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-640)\/(-48))\/(1\/(-174)). List the prime factors of -3*(2\/13 - r\/(-39)).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72873.9 times 6\nAnswer: 437243.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320201132230 (base 4) to base 10.\nAnswer: 14817196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4289 from -3.\nAnswer: 4286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from {v: 5, k: 10, g: 1, d: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*h**3*j**2*o*v + 116*h**3*j*o*v + 2*h**3*o - 3*h*j**2*o + 640*o with respect to v.\nAnswer: -90*h**3*j**2*o + 116*h**3*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11267 + -28012. Let q = x + 16744.87043. Let v = q - -0.13. What is v rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:36 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.7 and -1452316.\nAnswer: 8278201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2 - 543*d + 2418. Determine b(89).\nAnswer: 1617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/513? (a) -0.5 (b) 0.04 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 224\/131 or -8700?\nAnswer: 224\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*z = -6*a + 18, 4*z + 14 = -a. Suppose 7 = n - 0. Suppose -o + 4*o + 5*f = 30, -2*o + f = -n. What is the highest common divisor of a and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 i when three letters picked without replacement from {h: 3, i: 6, z: 4}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1157 + 1300. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 77305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -12 - (0 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 3*m**2 + 5*m - 101510*m**3 + 101512*m**3 + 2*m**2 + 1 in the form d*m + t + c*m**2 + f*m**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000113135909 rounded to seven dps?\nAnswer: -0.0001131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.53 - -2.23. Let h = 0.094 + -12.094. Let c = h - -11.9. What is the closest to f in c, 0.1, -0.03?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**18*h*h*h\/(h\/h**(-10))*h*h)**40 assuming h is positive.\nAnswer: h**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/45)\/(((180\/10)\/2)\/8)?\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -403*k**2 + 16*k + 2. Let q(a) = -2*a**2 + a. Let m(f) = -c(f) - 5*q(f). What is the second derivative of m(p) wrt p?\nAnswer: 826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290847623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -48) + (0 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-8))\/((-1)\/(-16)) + -4. Suppose -g = 2, 2*q + 0*q - m*g - 14 = 0. Let s(n) = -n**2 - 3*n + 1. Let c(x) = 2*x - 1. Determine q*c(h) + 2*s(h).\nAnswer: -2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 211 = -4*y, 5*y + 329*d = 324*d - 215 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 29*u - 427. What is the remainder when 3052 is divided by g(-12)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j*(j*j**6*j)\/j))**(-19) assuming j is positive.\nAnswer: j**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -55. Suppose 4*o + 4*g - g - 820 = w, 4*g - 816 = -4*o. What is the greatest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549 times 14\nAnswer: -7686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 344*u + 135 + 6*u**2 + 66*u**2 - 64 + 347*u in the form i + z*u + v*u**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80.8 - 71. Let k = 9 - l. Let s = k + -0.2. Which is the nearest to -2\/3? (a) s (b) 2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 + 0*a**2 - a**2)*((4 - 3 - 4)*(-3 + 3 + 3*a) + (-1 - 4 + 4)*(0*a + 4*a - 2*a)).\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 + 5 - -7) + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 65.70113 kilometers?\nAnswer: 65701.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 477*w - 2574 - 24615 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 26, -52, -202?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 + 20*x + 23. Determine g(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 + 157. What is the remainder when d is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(2 + 2 - 2)*(-29 + 12*u + 29).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8412484ng to tonnes.\nAnswer: 0.0000000000000008412484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 0, 12, 0.4, 4, -2\/9 in decreasing order.\nAnswer: 12, 4, 0.4, 0, -2\/9, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*((-53*b - 15 + 15)*(-9*b + 10*b - 8*b) + (2 - 1 - 2)*(2*b**2 - 7*b**2 + 2*b**2)).\nAnswer: 748*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/7 in 0, 2, -2\/3, 15, 2\/589, -1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30946 is divided by 52.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 610858664 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052 > 1288451\/422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*z + 20, 0*y - 4*y + 44 = 4*z. Let k be (-22)\/(-18) - y\/27. Let x be 5*(2 + 1 + 2). What is the highest common factor of k and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5961 - 24209 = -409*s + 1255 - 750 for s.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 839, 45, 1 in decreasing order.\nAnswer: 839, 45, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2172, 1855, 1538, 1221?\n\"Answer: -317*h + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3176112764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -70.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 14 = 5*v - 3*i, -2*v - 2 = 5*i. Solve 2*l = v*r - 0*l, 5*r + 4*l = -26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 385670*n**3 + 85887*n**2 - 113 wrt n.\nAnswer: 2314020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 58*t**2 + 39*t**2 - 5*t**2.\nAnswer: 95*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3153577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-56)\/8))\/((-4)\/(-56)*8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:18 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 41728675.\nAnswer: -2\/41728675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7688 = 79*n + 1842. What is the remainder when n is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55273 + 55326.141. Let r = u + -0.241. Let m = r + -53. Which is smaller: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/3)\/((-1)\/(-3)). Suppose p + 8 = 4*d. Suppose -i = -2*x - d, 3*x - 5*i = -3 - 5. Which is bigger: -6\/7 or x?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 - 20.6. Let v = f + 16.7. Let h = -122 + 125. What is the closest to -1\/2 in v, 1\/2, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159086 or -159088?\nAnswer: -159088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, c: 11}. What is prob of picking 1 c and 1 n?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b + 6*b - 2*b - b. Let x(s) = 18*s**2. Determine m(x(n)).\nAnswer: -108*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335302 greater than or equal to 5335300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/120 - i**5\/10 + 7*i**4\/24 - 7*i**3\/6 - 24*i**2. Calculate y(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**3 + 7*f**2 - 9*f + 9. Suppose 19*x - 9 = 10. Let l(c) = 4*c**2 + 4*c - 3 - x - 12*c**2 + 5*c**2 + 2*c**3. What is -4*g(a) - 9*l(a)?\nAnswer: 2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (6 - 32\/4).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 7. Let w(m) = m**3 + 5*m**2 - m + 1. Let q be w(-5). Suppose 0 = -27*j + 30*j + q. What is the units digit of g(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5886275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/((-213)\/355*5\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -0.01 (b) 1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-38)\/6)\/((-12)\/216). Suppose 5*o + 3*w + p = 47, 4*o + w + 48 = 0. Let z(h) = 48*h + 8. Let j be z(o). What is j rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z. Let p(i) = -i + 3. Suppose 3*j + 4 = 5*j - 5*a, -3*j - 3*a + 6 = 0. Let w(q) = -2. Let g(v) = j*p(v) + 3*w(v). Determine g(m(f)).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.96 less than -128.23?\nAnswer: -126.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**3 - 36 + 36 + (3 + 0 - 5)*(-4*g**3 + 6 - 6) + (4*g - 2*g + g)*(2*g**2 + 0*g**2 - 3*g**2) to x*g + k*g**3 + z*g**2 + o and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 306, 326, 362, 420, 506, 626, 786?\nAnswer: 992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12104668?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -f - 5*q, -6*f + f = -4*q - 228. Let s = 78 - f. Suppose 2*v - 256 = -s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/30 - 32*r**2. Let k(u) = u**2. Give k(s(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122008892*s**2 + 6850004*s + 1.\nAnswer: -244017784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 138606?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 a factor of 7695688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92440.\nAnswer: 2, 5, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13231313100 (base 4) to base 5.\nAnswer: -1004212424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 5*n**2 - 8*n - 9. Let u be b(-5). Suppose 170 = 2*r - s + u, -5*r = 5*s - 310. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*m**2*r**2*y**3 + 73*m**2*r*y - 2*m**2*y**3 + 13*m**2*y**2 - 6*m**2 + 6*m*y wrt r?\nAnswer: 80*m**2*r*y**3 + 73*m**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -2*a. Which is smaller: -8\/9 or a?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o - 63. Suppose 3*m + 23*l = 25*l + 106, 3*m - 112 = -4*l. What is the lowest common multiple of n(9) and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/15 + 3)\/(33\/(-15)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25447 (base 10) in base 3?\nAnswer: 1021220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + h - 3*h + 10, 15 = 3*r + 3*h. Solve 3*k - q + 9 = -r*k, k = -q + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73526, 147050, 220574?\n\"Answer: 73524*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142163 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1987, 2342, 3165, 4642, 6959, 10302, 14857?\nAnswer: 20810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 71*f**6\/90 + 58*f**3 + 59. Let m(u) be the third derivative of i(u). Let o(l) = 2*l**2. Determine m(o(c)).\nAnswer: 1136*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 70219.\nAnswer: -70218.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c79c1 (base 13) to base 7.\nAnswer: -43314221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.93 + -16. Let z = q - 2.93. Let k = 0.3 + -0.1. Which is the second smallest value? (a) 2\/3 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 15 + 15)*(0 - 1 + 2) - d - 2 + 2 + (-4 + 0 + 2)*(5*d + d - 3*d) + (47*d + 52*d - 69*d)*(0 - 1 + 2).\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Let f = 5 - d. Let j = -13 + 18. Solve -f*r - j - 7 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zji when three letters picked without replacement from {j: 1, i: 4, z: 10, w: 2}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/8 of a gram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10468 is divided by 5002?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2113 - 4?\nAnswer: 2105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.22, -13\/4, 2, 5, -1\/2?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -45634033 - -3?\nAnswer: -45634030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -31 - -1*2. Let k = h + -10. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80338303 to the power of 1\/3, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38295 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360 by 4.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 19. Let j be q(0). Let n be (39\/6)\/(1\/(-2)). Let x(s) = s**2 + s + 15. Let d be x(n). Calculate the highest common divisor of d and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (3 + 57\/18)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l = 247 - 301 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1184*s**3 + 1232*s**3 - 2429*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -58, -80, -148, -286, -518, -868, -1360, -2018?\n\"Answer: -4*x**3 + x**2 + 3*x - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 + -14)*((-6)\/4 + -1). Suppose -3*k + 15 = -0*k, n*k = -p + 163. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y = -22*y + 15*y - 5696. What is the remainder when y is divided by 117?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/103 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 19 + 2*v - 4*v + 1 - 1 + v + (-1 + 6 - 3)*(0*v + v - 3*v) as k + t*v and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 19 + 17 = 0. Let i be (-1197)\/(-12) + r\/(-12). Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/2*8*9\/144?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45\/(-21))\/((-16)\/56)*9040. What is q rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/7)\/(j\/(j**2*j))*(j*j*j**(-2\/15)\/j)\/(j**(-4)\/j) assuming j is positive.\nAnswer: j**(856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 - 5 = -b, 0 = -5*n. Suppose 0 = 5*v + r + b, -5*v - r + 10 = -3*r. Let w = -1.1 - -1. What is the third smallest value in v, 0.3, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 divided by -6\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12108 + 968579\/80. What is the common denominator of -9\/160 and s?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37*2\/(-12) - (-85)\/(-102)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 9 - 7 - (4 + 14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f)\/(f\/(f\/(f*f*f*f**16*f*f))) assuming f is positive.\nAnswer: f**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 + -0.14. Let u = p + -0.83. Which is the third biggest value? (a) -1\/9 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*i - 34 + 34)*(2*i**4 - i**4 - 2*i**4).\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oppfppopropproorpoor. Give prob of picking 1 o and 1 p.\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h + 229. Let w be l(16). Solve 4*d = -v + 20, -w*d + 8*v + 25 = 13*v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1141684 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -24380176622?\nAnswer: -24380176626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2)\/(-1 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69325?\nAnswer: 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8 = -3*c, 4*c = 4*b - 32. Solve 7*d - b*d = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842.4153 rounded to zero dps?\nAnswer: 1842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(2\/(-2))\/12*-2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r + 37*r + 50*r + 5*r to the form x*r + b and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -455846, -455699, -455552, -455405, -455258?\n\"Answer: 147*p - 455993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.5 - 22.5. Let l be (7\/(-56))\/(2\/4). What is the nearest to l in v, -3, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 57*o**3 + 414*o**2 - 876*o + 600.\nAnswer: -3*(o - 2)**3*(o + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (133\/(-19))\/((-8)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 39?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*p = 1609869 - 1608237 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25*y + 34. What are the prime factors of d(10)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(-18))\/135*(-10)\/(-6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, -31, -3\/11, -1\/46, -18?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-400)\/(-10))\/(-5)*(-1)\/8. What is the units digit of -2 + 541 + 0 + t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 15. Suppose n - 4*a = 91, 4*a - x*a = -n + 91. Let d(s) = -2*s + 3. Let q be d(-5). What is the greatest common divisor of n and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 2, u: 2, k: 8, d: 1, c: 3}. Give prob of sequence du.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*j + 8 = 3*u, -2*j = -5*u + 17. Let k(b) = 5 + u*b**3 + 6*b + 8*b**2 - b**3 + 1 - b**3. Calculate the remainder when k(-5) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -13 in decreasing order.\nAnswer: -2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**7\/280 + f**6\/8 + 15*f**5\/8 + 125*f**4\/8 - 2*f**3\/3 - 3*f**2. Let l(g) be the first derivative of n(g). Factor l(m).\nAnswer: 3*(m + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4935\/(-8225))\/((-4)\/((-160)\/27))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 9. Let t = 17 - w. Suppose i - 22 = 5*d - 94, t*i - 4 = -d. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -5 - 5481\/(-12). Let b = 453 - i. What is the common denominator of (-2)\/(-5) - 1018\/20 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.4 - -15.4. Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238\/238*(-4)\/(16\/36)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2\/7 - 360*t\/7 - 10800\/7 = 0 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 6 + 7 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 18. What is the second derivative of 6*y**3 - t*y**2 + 4*y**2 - y + y**2 wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -9, -5, -4 in decreasing order.\nAnswer: 7, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7587, 7585, 7583, 7581?\nAnswer: 7579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**1*(b**(-1\/5))**(-1\/10) assuming b is positive.\nAnswer: b**(51\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 10804.\nAnswer: 10797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -859705, -859880, -860055, -860230?\n\"Answer: -175*o - 859530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 9:51 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 319400 and 306400.\nAnswer: 489320800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.173 (b) -638 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**3 + 8*l**2 - 2*l - 3. Calculate d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (161\/14 + -8)*9\/(-196) and -73\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-5)\/(15\/6). Solve k = -a - 3*a - r - 2, 4*a - 2*r = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:48 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-97.95.\nAnswer: 1.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, -2770, 402 in descending order.\nAnswer: 402, 211, -2770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 3*k - k - 4*k - 3*k + 2.\nAnswer: -18*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2710053?\nAnswer: 5420106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5715, 5716, 5763, 5880, 6091, 6420, 6891, 7528?\n\"Answer: 4*c**3 - c**2 - 24*c + 5736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-8)*(-20)\/15. Solve -l = -k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/n**(2\/15)))\/((n\/(n\/n**(2\/9)))\/n) assuming n is positive.\nAnswer: n**(86\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2176 - 2176 + 114*j)*(5*j - 2*j - 2*j - j**2).\nAnswer: -114*j**3 + 114*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 2. Let v be d(4). Let l be (-1)\/(-3) + (-60)\/v. What are the prime factors of 1 + 2 - (l - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 9 - 8 - 129*t**2 to the form x + k*t**2 + q*t and give k.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148 + 212. Find the common denominator of -47\/4 and (f\/2)\/(2*22\/4).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and -47\/55531473?\nAnswer: 111062946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + 0.3. Suppose 2*y = -2*l + 7*y + 3, -18 = -5*l + 2*y. Which is the nearest to d? (a) 3 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/188321 and -54\/49905065?\nAnswer: 49905065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 0*f + 0 - 1\/120*f**5 - 1\/2*f**3 + 0*f**4 + 2*f**2. Let a(k) be the first derivative of b(k). Determine a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/4140 and -85\/3312.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 63895483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -10. Find the third derivative of m**2 - 2*m**3 + s*m**2 - 4*m**2 wrt m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008997 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.3. Let l = 3.5 + y. Let q = 97 - 96.7. Which is the biggest value? (a) l (b) q (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -569*n**6\/30 - 257*n**3\/3 - 486*n. What is the second derivative of y(r) wrt r?\nAnswer: -6828*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127598 (base 14) to base 11\nAnswer: 3a4083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-24)\/(-180)). Let t(y) = y**2 - 5*y + 1. Let u be t(p). What is the first derivative of 10*g**3 - 9*g**3 - u + 0 wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + -3 + 5 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-247)\/3 - 26\/(-39). Calculate the greatest common divisor of m and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250420 divided by -3295.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2 - 25 - 3. Which is the nearest to 1\/2? (a) 0.1 (b) -7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114566, -229158, -343766, -458396, -573054, -687746?\nAnswer: -802478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.7726231 and -0.71.\nAnswer: -2.4826231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8376 is divided by 1557.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**3 + 325*t**2 + t - 62.\nAnswer: 6*t + 650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14*(-2)\/(-18 + 22). Let q(x) = -4*x**3 + 7*x**2 + 8*x - 3. Let b(p) = -3*p**3 + 6*p**2 + 7*p - 2. Calculate w*b(a) - 6*q(a).\nAnswer: 3*a**3 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q + 16 = -4*d + 54*q, -19 = 3*d + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -439.1426+-728\nAnswer: -1167.1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 24, -5 in decreasing order.\nAnswer: 24, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1886255822.\nAnswer: 2, 11, 31, 2765771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 5*t + 10. Factor 28*u**3 + 19*u + 12*u**4 + 6*u**2 - 15*u + 14*u**t.\nAnswer: 4*u*(u + 1)**2*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - 2*i + 7*i)*(-13*i**3 + 15*i**3 + 23*i**3) + 3*i**4 - 5*i**4 + i**2 + 2*i + 3*i**4 to p + r*i**2 + v*i + c*i**3 + o*i**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*l + 106. Suppose 3*g = 2*g + 5. Suppose 4*c + z - 145 = 0, z + 4*z - 185 = -g*c. What is the greatest common factor of c and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyl when three letters picked without replacement from lhlhhlhlylyhyylylyc.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2069034\nAnswer: -8276136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:02 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 1 - 4)*(0*y + 3*y + 4*y)*(-3 - y + 3)*(-1 - 1 + 1) to w + f*y + a*y**2 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1569 - 84?\nAnswer: -a1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2 + 7) + 111\/5. Let s be (((-42)\/(-24))\/7)\/(m\/16). Factor -s*c - 4\/11*c**2 - 2\/11*c**3 + 0.\nAnswer: -2*c*(c + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/4*36\/(-252). What is the nearest to b in 0.4, -0.1, 1.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(t**2 + 14*t**2 + 3*t**2)*(-35 + 185 - 9).\nAnswer: -5076*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 14 = 3*t + 2, 0 = -2*t - 5*m - 3. Suppose 3*u - 8 = -5*g, -g + t = 5. Suppose -6 = 5*y - 2*y. Sort -5, y, u in descending order.\nAnswer: u, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4120, 4132, 4144, 4156?\n\"Answer: 12*v + 4108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Solve -2*n - 3*n = -y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6217426 != -6217426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*n + 3*n. Let g be -1 - (n + -11 - 2). Suppose 3*u - g = -4*o + 8, 5*o = -3*u + 26. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.5 (c) -6\/59 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:11 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-8028)\/(-11004) + (-165)\/231\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9082420, -9082413, -9082410, -9082411?\n\"Answer: -2*r**2 + 13*r - 9082431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 2 - 0)*9. Let k be 2\/p + 77\/63. Let b(z) = 40*z - 1. Is 13 a factor of b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1\/(6\/(-10)). Let n = 223 - 227. Let r = -1141.2 - -1141. What is the second smallest value in n, 4, p, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**2 - 25*c + 25*c)*(4*c + 3*c**2 - 4*c)*(-39 + 17 + 18).\nAnswer: -108*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2420 and (4896\/810 - 7) + 9\/(-120)*-4.\nAnswer: 21780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*m + 20 = -3*m, 2*r - 5*m = 5. Find the second derivative of r*j - j + 18*j**3 + 10*j + 6*j wrt j.\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2710*p**5 + 158*p**2 - 5 wrt p.\nAnswer: -162600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/52)\/(((-4)\/16)\/((-2)\/(-66))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(121)*-3)\/sqrt(11) - sqrt(891)*-2*1.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -65. Suppose -q = -6*q - b. Let x(n) = -n**2 - 13*n - 10. What is the least common multiple of 10 and x(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*(a**(10\/7)\/a)\/a*(a\/a**4)\/a*(a**(2\/9))**(1\/8) assuming a is positive.\nAnswer: a**(-893\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -443 + -6?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + sqrt(1331))*1.\nAnswer: -9 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-160))\/(15\/(-15)). Let n(g) be the second derivative of 0*g**2 - 1\/48*g**4 + 3*g + v*g**5 + 0 + 0*g**3. Factor n(a).\nAnswer: a**2*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 12*r - 14 + 14.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 5.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22887333 to the power of 1\/7, 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 (-4 - -4 - 4\/10)*-1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 6*i**5\/7 - 564*i**4\/7 + 15966*i**3\/7 - 16968*i**2 - 63960*i\/7 + 484128\/7 = 0?\nAnswer: -2, 2, 12, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 4) in base 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83977 - -83981. Let o(b) = b**2 - 4. Let i be o(3). Solve i*n - d*f = -21, -4*f + 18 = -2*n - 0*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -3) + -26 + -11 - -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 q when three letters picked without replacement from zttzqqttz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449914384.\nAnswer: 2, 83, 173, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6206719ng in tonnes?\nAnswer: 0.0000000000000006206719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.499494 days to nanoseconds.\nAnswer: 647956281600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*v - 620*v - 973*v.\nAnswer: -1306*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 4*k + 2*k)*(k + 2*k + 0*k)*(-4 + 4 - 4*k)*(5*k - 2*k - 5*k) as h*k**2 + q + o*k**3 + z*k**4 + a*k and give z.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 97. Let f(r) be the third derivative of 2\/3*r**3 + 0*r + 0 + 2*r**2 - 1\/12*r**4. What is f(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194424718.\nAnswer: 2, 157, 619187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + 20 = 0, -21 = -4*o - n. Let i = -6 - -10. Solve o*l - 16 = i*r + 16, 0 = -2*l + 3*r + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/2 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 - 17. Let u be (-8222)\/(-3030) - (-6)\/(-45). Let w = -2\/101 - u. Put -2, w, c, -3 in decreasing order.\nAnswer: c, -2, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606921*r + 13160 = -606545*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 10)*(1 + 0 + 1)*((2*b**3 + b - b)*(-2*b**2 + 2*b**2 - 4*b**2) + 4*b**5 - 5*b**5 - b**5 - b - 2*b**5 + b).\nAnswer: -264*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 10) to base 5\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/105)\/(2\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8708907?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29*w + 24700 = 0. Calculate the highest common divisor of w and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 28, 45, 64, 85?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*k**4*m + 5371105*k*m + 309613757*m wrt k?\nAnswer: 64*k**3*m + 5371105*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24789566, -49579136, -74368706, -99158276, -123947846?\nAnswer: -148737416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*m**3 - 449*m**3 - 292*m**3)*(4*m - 4*m + 7*m**2).\nAnswer: -6335*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence buob when four letters picked without replacement from {o: 2, b: 6, g: 1, u: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6846 and 17421114.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6930)\/2793)\/11)\/(10\/(-28)).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 97373967.3967 and 2.\nAnswer: 97373969.3967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -4*a + 5*h, -1119*a - 102 = -1124*a - h for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 10:18 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5001101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1058334 and -47.37.\nAnswer: -47.2641666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2102 + 308 = -6*t. Let j = 306 - t. Let x(v) = -v**3 + 6*v**2 + 4*v + 3. What is x(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -463*o**2*z**5 - 128544*o**2 - 2*o*z - 126*z**5 wrt z?\nAnswer: -9260*o**2*z**3 - 2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 101 + 1534*q - 93.\nAnswer: 1534*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 3:04 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 44 + 16. Suppose 2*o = -3*o - 5*c + 10, 3*o - 2*c + y = 0. Is o\/4 - 63\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157037 (base 9) in base 15?\nAnswer: -1db11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410557 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-6 - (-6 + 3)). Suppose -x = 21*k - 17*k - 64, -2*k = h*x - 32. Solve 0 = -3*d + 3*a, 3*a = 2*d + 5*a + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*9\/(-24)*((-161)\/42)\/23?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17704265 = -4186265. Round k to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p - 38*p - 62*p.\nAnswer: -119*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*s + 4 = 0, 5*o + 2*s - 24 = 4. Find the third derivative of 38*w**5 - o*w**2 + 1 - 13*w**2 + w**5 wrt w.\nAnswer: 2340*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2664)\/1624 + 846\/12267?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7629\/4 + -1917. Let g be (-24354)\/(-45)*27\/4. Let a = -3646 + g. Find the common denominator of a and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24037, -24316, -24595?\nAnswer: -24874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.46*-13.669.\nAnswer: 361.68174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 231*h**2 + 165*h - 66897. What is y(-229)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*n - 245*n = -5*t - 3620, -n + 0*n + 26 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44164308?\nAnswer: 2, 3, 977, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 10:34 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 6. Let j be m(-3). Suppose -3*p - 9 = -2*d + j, -2*d = p - 3. Suppose d*r = -r + 40. What is the least common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 250*k**2 - 2*k. Let s(u) = -485*u. What is d(s(t))?\nAnswer: 58806250*t**2 + 970*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1214\/3, -29.6 in decreasing order.\nAnswer: -4\/5, -29.6, -1214\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 148*v**2 + 14*v + 13. What is the units digit of y(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 77*l - 462 = -24*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/4*x**4 + x - 9\/2*x**2 - 2*x**3 + 0. Factor i(k).\nAnswer: -3*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - 25 - -59) + -1 + -26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/x**1*(x*x**(-2\/3))\/x**(-3\/2))**(-3\/34) assuming x is positive.\nAnswer: x**(-11\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 0.06 in increasing order.\nAnswer: -5, 0.06, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)\/((a\/(a\/(a\/(a\/(a\/(a\/(a**(-1\/10)*a))*a*a*a)))))\/a)*a**(-4\/11)\/(a*a**(-5)) assuming a is positive.\nAnswer: a**(25\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*((-2)\/12)\/(7\/14). Suppose -4*f = -t - 2*f - 11, 6 = 3*f. Let r = m - t. Solve -r*o + 6 + 9 = 5*z, -4*z + o + 7 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:44 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.6 - -51. Let x = -5 + c. Let k = 0.5 - x. Which is smaller: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 3.1, 0.12?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-524497280)\/927360 - -566 - ((-6)\/(-7))\/2?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Let y be k(-6). Let x = 832 - 828. What is the third derivative of -20*l**4 - 10*l**y + 3*l**x + 5*l**4 wrt l?\nAnswer: -288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-160))\/((-20)\/112)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 19*m**2 - 62*m - 486. Determine i(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 - -0.51378. Round z to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 7 - 4 - 3 + 6*t**3.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-6)\/4*81\/(-2025).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11359051*l**2*p**3 - 2*l*p**2 + l*p + 3*p**3 + 29*p + 2355 wrt l?\nAnswer: 22718102*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2795455, 2795233, 2795011, 2794789?\nAnswer: 2794567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 + 174. Suppose -5*l + 5*f = 9*f - 1251, 0 = -2*f - c. List the prime factors of l.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 4:59 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2164*f**3 + 1807*f**2 wrt f?\nAnswer: 12984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-14) - 6\/(-4). Let o(x) = -4*x**a + 0*x**2 - x**2. Let m(t) = 3*t**2. Calculate o(m(h)).\nAnswer: -45*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -11010?\nAnswer: -11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2283420 by 4.\nAnswer: 570855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + (3*sqrt(132)*-2 - sqrt(132)))\/(5*sqrt(108)))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6287029 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -359*x**3 - x + 8. Let j(o) = -239*o**3 + 5. Determine -5*b(h) + 8*j(h).\nAnswer: -117*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1963*q + 374. Is g(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - (sqrt(209) + 2*-3*sqrt(209))))*6*-2)\/(sqrt(99)\/(sqrt(900)*1)*1).\nAnswer: 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = 1355*m - 1331*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 1. Let q be b(-2). Let f be 4 + 12 + 3 + 3. Suppose 59 + f = q*r. Calculate the remainder when 105 is divided by r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 239, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 - 0\/(-1) and 510\/(-572) + (-50)\/325?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489 - 486. Suppose -3*t - 10 = 3*x - 5*x, -2*t + 15 = 3*x. Which is the smallest value? (a) n (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 266, -4, 507, 0, -1, -2 in decreasing order.\nAnswer: 507, 266, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.05 (c) 487\/4 (d) -3 (e) 0.2 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 0.4 (c) 20 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, y: 1, e: 1, p: 9, j: 1, d: 4}. What is prob of picking 1 p and 1 j?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -563*g + 52 = -550*g. Solve -5*j + 36*n = 38*n - 8, 3*n - 12 = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-3) - 4\/6. Suppose f*q - 51 = 9. Let c be 27\/(-12)*(-16)\/q. Put 1\/12, 1, c in descending order.\nAnswer: c, 1, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4738*d - 56 = 4730*d. Solve 3 = -d*j + 31 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -276756, -276755, -276754, -276753, -276752, -276751?\n\"Answer: m - 276757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -73*q**6\/6 + 4*q**3 + 66. Find the third derivative of x(j) wrt j.\nAnswer: -4380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*z = c - 295, c - z - 51 = 0. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/94)\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 2*w**2 - 26 + 14 to the form f + x*w**2 + p*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 735 or 0.0864?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*o = 86 - 492 - 935 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + (16 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 468, 470, 474, 480?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:17 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**4 + 77*v - 1 + 2*v**3 - 77*v as m*v**3 + q*v**2 + d + t*v**4 + g*v and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -107d + -271?\nAnswer: -12ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4674 and 1824?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124391 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 4. Suppose q - 2 - 67 = 3*l, h*q + l = 103. Let x(g) = 2*g + 2. Let w be x(2). What is the highest common divisor of w and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*l**4*r**3 - 2598785*l**4*r - 5657*l**2*r**3 - 7*l**2*r**2 - 969*r**3 wrt l?\nAnswer: -672*l*r**3 - 62370840*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18841 - -3?\nAnswer: 18844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1.6. Let w = 1 + -1. Which is the closest to s? (a) -2\/15 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 241849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/((-8)\/(-4))*(-1)\/(-3). Suppose 14*a = l*a + 48. Solve -a = -2*t + 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5995 - -5992. Which is the second biggest value? (a) -136\/5 (b) -1.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from yykyyekyekyk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30267213 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*a - 76 - 338 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*v**3 - 219670*l**3*v*z + l**3*z + 88*l**2*v + 2*l**2*z - 2*l*v**2*z + 2*l*z + v**3 + 581*v - 2 wrt l?\nAnswer: 12*v**3 - 1318020*v*z + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1932304851 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 1 - 1 + 1)*(0*t**2 + t**2 + t**2) + 8*t**3 - 7*t**3 + 5*t**3.\nAnswer: 10*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4911486*f - 64862341 wrt f?\nAnswer: 4911486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 p when three letters picked without replacement from {c: 1, p: 2, n: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 983933108 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: Subtract 0 from 8168405541684.\nAnswer: 8168405541684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**3 + 2*l + l - 4*l. Let u be ((-2)\/(-27) - 784\/378)*(-1)\/(-2). Give k(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -12*q + 585 - 21. What is the remainder when 173 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 262495.7 micrograms?\nAnswer: 0.2624957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8577 is divided by 305?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.8, 2\/7, 2.\nAnswer: -0.8, 2\/7, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(0*g - 5*g + 3*g) - 15*g - 11*g + 25*g + 22.\nAnswer: -5*g + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.64 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 13. Which is the biggest value? (a) -0.3 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a - a)*(32*a**2 + 63*a**2 + 16*a**2).\nAnswer: -444*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111101100111 - 11?\nAnswer: 1001111101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6228.73 meters in kilometers?\nAnswer: 6.22873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3649.117mm?\nAnswer: 3.649117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*l + 3, -3*l - l - 3 = -v. Let c(z) = z**2 + 2*z - 8. Let j be c(6). Suppose -v*y = -j - 2. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/17147524 and 1\/8.\nAnswer: 34295048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-45) + (-5)\/((-3825)\/18326).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3190*f + 5\/3*f**2 + 1526415 = 0. What is f?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 34, 0.5, -26, -1\/3, 1, -20?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1261 - -1264. Let n be -1 - (0\/(-2))\/2. Is a not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 5)\/((-3)\/(-2)). Let j be 20\/(-5) + 2 - r. Find u, given that -1\/2*u - 1\/4*u**4 + 1\/2*u**3 + j*u**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/919 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4*-4)\/(-15*(-9)\/7560).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -63*g - 2. Let y(n) = n**2. Calculate p(y(r)).\nAnswer: -63*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44438 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 286*w - 73. Let c be t(5). Suppose -1365*q + c*q = -1536. Does 50 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*f - 17, o = -0*f - 5*f + 23. Let h(i) = 2*i**o + 152 - 159 + i - 3*i - 3*i + 7*i**2. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-6 + 1 - (-52 + 29 + -18))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1575*w**4 + w**3 + 105 - w**3 + 10*w - 1574*w**4 wrt w.\nAnswer: 4*w**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4126.391 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t + 22. Let f be d(-5). What is the greatest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -3*b - 5, -29*r - 4*r + 28*r = -2*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-30)))*c*c*c**36)\/((c\/(c*c**(-18)))\/c)**21)**7 assuming c is positive.\nAnswer: c**(-2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -42?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + 232345?\nAnswer: 232401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, h: 3, w: 4}. What is prob of sequence weeh?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/1008 - b**6\/240 + b**5\/60 - 3*b**2. Let s(n) be the third derivative of t(n). Differentiate s(o) with respect to o.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.81 + -39. Let f = 0.068 + 0.08. Let o = f + d. Round o to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + z**2 + z - 1. Let o be b(-2). Calculate the remainder when 16 is divided by -4 - 3*(-42)\/o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43032112 - -10134?\nAnswer: -43021423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = m - 3*m. Suppose m*y - 14 - 2 = 2*p, p + y = -2. Let z(s) = s**2 + 4*s - 3. Let k be z(p). Solve -2*x = 5*v - 28, k*x - 3*x + 3*v = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109 + 117. Let l be (1300\/(-3) + 0)\/(b\/288). Round l to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*h - 2, -3*h = -x - 1 - 12. Let d(a) be the second derivative of -x*a + 1\/4*a**2 + 0 + 1\/48*a**4 - 1\/8*a**3. Factor d(m).\nAnswer: (m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-408 - 2*d**3 + 3*d**3 + 405)*(d**2 + 1 - 1).\nAnswer: d**5 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11450*k**5 + 4857516*k.\nAnswer: 229000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 302 (b) -0.4 (c) 0.071\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llzb when four letters picked without replacement from {b: 4, l: 2, z: 3}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 8, q: 1, f: 1, t: 1}. Give prob of picking 1 f and 1 r.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 175 = 101 + 87 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82456 * 5.\nAnswer: 412280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3297 + -26447\/8. Let l be (14\/21)\/((-2)\/27). What is the common denominator of r and ((-113)\/l + -2)*12\/(-16)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 9 = -4*u + 2*q, -2*u - 3 = -q. Sort 3, u, -109.\nAnswer: -109, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = q, 0 = 3*q + 3*l - 22 + 1. Let i(s) be the second derivative of 0 + 8*s - 1\/6*s**4 + 0*s**3 + 0*s**2 - 1\/5*s**q - 1\/15*s**6. Factor i(d).\nAnswer: -2*d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (-4)\/(-2 + -2). Let m be (-2 + 2)\/(o\/(-2)). Let r(q) = q**2 + q + 4. Let g be r(m). Solve f + f = a, -5*f + g*a = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9470764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1579, 2, -3, -3\/8, 10, 0.85, 5 in decreasing order.\nAnswer: 1579, 10, 5, 2, 0.85, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1712\/(-12))\/(-2) + (-2)\/(-3). Calculate the common denominator of -65\/6 and 390\/o + 6\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 15*c**2 + 33*c - 715. Suppose 2*h - 111 = -5*y - h, -4*h = 3*y - 60. What is the smallest common multiple of o(16) and y?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 273.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1586 divided by -1?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11516*y - 679400. Give a(59).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33 + (-9680)\/(-280) - (-3)\/7. Suppose -d + 6*d = -5*l + 5, -3*l = -3*d - 15. Sort 1, f, d.\nAnswer: d, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*5*6\/(-240)*(-238)\/(-35).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -4*c + 6. Let d = 29 + c. Suppose -49 = -y - d*g + 78, 496 = 4*y + 5*g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from ssmsststcssssmcsmt.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3, -1.1 in decreasing order.\nAnswer: -2\/9, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -57999 and -58000 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6 + (24 + -12 - 11) - (31 + -44).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*(-4)\/(-3). Find the third derivative of -14*j**6 + 20*j**6 - 13*j**6 - 16*j**k wrt j.\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 406\/3, -0.11, -0.02, -3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 494023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 35310389.5.\nAnswer: -17655194.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 20148408*a - 25372396558404.\nAnswer: -4*(a + 2518551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w - 2*w + 1 + 63*w**2 - 7*w + 920*w**2 - 2*w to s*w**2 + u + k*w and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**4\/4 + 4*a**3\/3 + 8*a**2 + 6*a. Determine x(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 59 + 115 + 4*h - 5*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2315526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/3*3\/2. Let d = -13 - v. Calculate the smallest common multiple of (-33)\/(-2)*(-4)\/(-6) and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23302 and 549.\nAnswer: 209718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:49 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -368 - 7?\nAnswer: -375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o + 2*o - 21 + 2 + 4.\nAnswer: 2*o - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 2*w**2 - 2*w - 1. Let x be g(-1). Let v(l) be the first derivative of -1\/2*l**4 + 0*l**2 + 1 + l - 1\/3*l**3. Calculate v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o + 533. Is d(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 10*p**2 + 37*p + 33. Let i be l(-11). Let h = 519 + i. Calculate the remainder when 152 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 165 = 23*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -20011 (base 4) to base 6\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199371 is divided by 132?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) 0.0338 (b) 0 (c) -2\/3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -7.7 (b) 0.5 (c) -1 (d) 0.17 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102119.9 * 2.\nAnswer: 204239.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5633 - 2993 - 12437 - 1979 - 10177)*(v**4 - v + v).\nAnswer: -21953*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*d - 8, -5590*b = 20*d - 25*d - 5593*b - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of u**7\/2520 - u**4\/6 - u**2\/2 - 18*u. Let x(g) be the third derivative of h(g). Let b(n) = 194*n. Determine x(b(z)).\nAnswer: 37636*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.3. Which is the closest to -0.2? (a) u (b) 0.08 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3374 - 1103913830.\nAnswer: -1103913830.3374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 7*i. Suppose i*u - 9*u - 9 = 0. Let z(q) = -20*q**3 + 2*q**2 + q. Let k be z(u). What is the highest common divisor of k and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 3, 19.\nAnswer: 3, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -4, 1\/11, -25\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -11*i**2 + 3*i - 1. Is h(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4546 and -4?\nAnswer: 5.8184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 2, u: 7}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 88*l = -92*l - 59110008, 5*o - 59109992 = -4*l. What is o rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 not equal to -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -544*k**3 - 31*k**2 + 17*k - 16. Let v be x(-16). What is v rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q + 17*q - 57*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 34*x + 54. What is the remainder when d(4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 0*h - 2*h)*(0*h**2 - 2*h**3 + 0*h**2) - 14*h**4 - 701*h + 701*h as x + k*h**4 + f*h**2 + v*h**3 + p*h and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-4*c + 0*c + 2*c) - 3*c + 6*c + 0*c + (-2*c + 3*c - 3*c)*(5 - 6 + 0) + 4*c + 3 - 3 + (0 + 1 - 2)*(-c - 4 + 4) + 4*c - 3*c + 0*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2*x - 61778 = -61772, 5*x = -5*n - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 321746 + -321733.1277. Let p = 0.2977 + w. What is p rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43 - 43 - 6*v**3 + (3*v - 2*v - 3*v)*(-2*v**2 - 4 + 4) + v**3 - v**3 - v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 27*z + 45. Give n(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 12*p**2 + 102*p + 1. Let t be l(-7). Calculate the common denominator of (-262)\/(-30) + (-75)\/t and -43\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, a: 2, x: 2, z: 5}. What is prob of picking 1 a and 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 117, 278, 513, 828, 1229, 1722, 2313?\n\"Answer: a**3 + 28*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 10*x = -12*x - 19, 28 = -y - 5*x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168979050?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/15*(-207)\/1173*-85?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:51 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.68 + 1.38. Round y to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65 - (-34 - -17) - -13) + 2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.058. Let z = -0.053 + m. Round z to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -330580136597\nAnswer: 330580136569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -2*t**3 - 57*t**2\/2 - 4*t - 9. Differentiate u(m) with respect to m.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-1\/2))\/(((((j\/(j*j**17))\/j)\/j)\/j)\/j))\/(j**(-1))**(-29))**(-24) assuming j is positive.\nAnswer: j**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 - -4)) + 7 + 4 + (-28 - 2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60976\/151 or -1\/23?\nAnswer: 60976\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/450*18\/2. Let x be m\/27*-3 - 33\/(-27). Solve -l - x = -0*l + 2*z, 0 = 4*l - z + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 7*g + 40. Let b(n) = -8 + 1 - 4*n - 7*n - g*n. What is the tens digit of b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2246 = 7*c - 2*c, -3*c + 1344 = -3*i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372770 is divided by 686375.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91868254*l**3 + 10955*l**4 - 11641 + 91868254*l**3 wrt l?\nAnswer: 43820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*g - 6 - 2 = -6 - 0 - 1, 3 = g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 2*s - 2*s + (4 - 2 + 2)*(39 + 5*s + s - 30).\nAnswer: 25*s + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 13. Let h = -2939408\/15 + 195965. Calculate the common denominator of ((-73)\/(-36))\/(6\/j) and h.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4344*b + 174*b + 2222*b + b**2.\nAnswer: b**2 + 6740*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4147209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1194 divided by -199?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6727, 6688, 6649?\n\"Answer: -39*q + 6766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 4*q - 2. Let l be t(4). Let i be (-51)\/l + (-2 - 1). Sort -2\/5, i, -3 in increasing order.\nAnswer: -3, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + u + u**3 + 54*u**2 - u**3 - 54*u**2 + u**3 - 5*u**2 + 5*u**2 + (2*u - 2*u + 2*u**3)*(0 + 4 - 3) as k + c*u + h*u**2 + n*u**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s - 13*s - 4*s)*(-5 + 3 + 3)*(1 - 3 + 1).\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, m: 2, t: 2, r: 8}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-4)*5\/45?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 16093*g**2 + 483469*g - 3563183.\nAnswer: -(g - 17)*(g - 13)*(g + 16123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 9 = 0. Suppose -c*q - 196 = -13*q. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2610 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 2*b - 3. Let q(o) = -2*o**3 + 5*o + 7. Give -10*p(z) - 4*q(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 83192, -2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.916 + 0.084. Let g = -6.65 - -7.65. What is the second smallest value in a, 0.4, g, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31956 and 4.\nAnswer: 31956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1608 by 2.\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4327 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/33 - 472\/(-118).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79929?\nAnswer: 3, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*((sqrt(360)*-3)\/((-5*sqrt(64))\/sqrt(8) - sqrt(8)) + -3))**2*-1.\nAnswer: -934 + 414*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**2 + 10 + 8*o**2 - 3*o**2 + 6*o**2 to the form c + l*o**2 + k*o and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3162, -1, 6\/5, 1 in decreasing order.\nAnswer: 3162, 4, 6\/5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -37134 divided by -118\nAnswer: 18567\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23d - 193?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(-4) - (-3 - -7). Let p = -285 + 636. Let v = 1762\/5 - p. Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let d be ((-3)\/(5 + -2))\/1*-3. Suppose -2*o - d*o + 10 = a. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70003948 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6 + r - 3*r - 6. Let u be f(-10). Suppose -5*k = 2*z - 0*k - 36, 3*z - 4*k - u = 0. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k**2 + 4*k - 76*k**2 + 32*k**2 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = 9 + 19 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495489107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, 14.8, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 2:01 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -296\/5 - -59. Let b = 13 - 15. What is the closest to b in 2, x, 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2 + 200*s - 199 = 0. What is s?\nAnswer: 1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1350626654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**2 - 15. Let u(f) = -f**2 + f. What is l(v) - u(v)?\nAnswer: -6*v**2 - v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1209, 4872, 10987, 19554, 30573?\n\"Answer: 1226*x**2 - 15*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*a - 3*f + 849, -a - 5*f = -859. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3848602867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qsqqsssssssssqssssss. What is prob of sequence ss?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 bigger than 107\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 606631042 to the power of 1\/2, to the nearest integer?\nAnswer: 24630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 9*t - 33)*(-t + 2*t + 3*t) as w + k*t + i*t**2 and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((1*sqrt(242) + sqrt(2) - -3*sqrt(4)\/sqrt(2)) + sqrt(8)\/(1*sqrt(64)))**2 + 1)*-5.\nAnswer: -18685\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 2.8. Let t = 4 + x. Let d = 65.2 + -65. Which is the closest to t? (a) 1 (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*(1221\/(-55))\/(-37)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/7596 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, g: 7, f: 6}. What is prob of sequence qfgg?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.6 - 2602.22617684.\nAnswer: -2605.82617684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 904b7 (base 13) to base 15\nAnswer: 5161a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwbbbbrbrrbwwbrwr. What is prob of picking 3 b?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**3\/6 + 2*n. Let l(h) = h. Let q(s) = -g(s) - 3*l(s). Let y(v) = 4*v - v + v. Determine q(y(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*f = -216, 5 - 25 = 5*f. Does 74 divide (-3)\/2 + 1 + (-60291)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 290349865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79129 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -27 + 3*i + 12 - 2*i + 8*i. Let d(n) = -4*n + 7. Let t(z) = -14*d(z) - 6*h(z). What is the units digit of t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0404866*-0.08\nAnswer: -0.003238928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8323 is divided by 4157.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/108)\/((-21)\/(-2100)*25)*(-21 + 15).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 26. Let t be n(10). Let q(x) be the third derivative of 1\/60*x**5 + 0 - x**2 + 0*x**3 + 0*x**t + 0*x. Let u(l) = l**2. Calculate u(q(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 242079 or 242055?\nAnswer: 242055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*x + 40. Let h(n) = 2*n**2 - 3*n - 3. Let c be h(-4). Let t = c - 33. Put x, t, 2 in increasing order.\nAnswer: 2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 - 3*a**2 + 3*a**2)*(4 - 3 + 0)*(24 - 1 + 43) in the form m + c*a + o*a**3 + x*a**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtqtqw. What is prob of sequence qt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 175549 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4 - -5))\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-96 + 5)\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvnnvvvv. What is prob of sequence nvv?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*h**4 + 685*h**3 + 156*h**2 - 111*h + 10 = 0 for h.\nAnswer: -1, 1\/8, 10\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783 and 558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + (sqrt(1900) + (sqrt(1900) - (sqrt(1900) + 1 + sqrt(1900))) + 5)**2 - (sqrt(1900)*-3 + -4).\nAnswer: 20 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77\/2 + 227\/6. Which is greater: o or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21689591*m**2 + 7645604*m wrt m?\nAnswer: 43379182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t + 4. Let z(r) = 3*r - 55. Let w be z(16). Give s(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (26 + -29)\/((-3)\/47083) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*n - 5063 = -5*k + 122*n, -2*k + n + 2027 = 0. What is the greatest common factor of 24 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/4 of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {b: 6, t: 2, j: 4, x: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1)*-3 + sqrt(7) - sqrt(1225)\/sqrt(7).\nAnswer: -7*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012 - -11120001012?\nAnswer: 11112212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2178845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/((p*p**(3\/2)*p*p)\/p))\/p)\/p**(-2\/15)*(p*p**(4\/3))**(-5\/3))**(36\/11) assuming p is positive.\nAnswer: p**(-86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -1. Let p = -7 - z. Let w = 3.00008 - p. What is w rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 6*c - 45*c**3 + 56*c**3 - 2*c to g*c**3 + t*c + k*c**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3558\/18976)\/(9\/372)\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -179377*j**3*w + 8*j**2*w - 5*j*w + 2485429*w - 22 wrt j.\nAnswer: -538131*j**2*w + 16*j*w - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*c - 786 = -62*c + 3090 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9187, 9216, 9243, 9262, 9267?\nAnswer: 9252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3\/5))**(2\/35)\/(x*x\/(x\/(x*x**(-5\/3)))*x)**(-37))**(1\/8) assuming x is positive.\nAnswer: x**(6487\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 7*d**2 - 22*d - 9. Calculate r(-10).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9490007?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/424 greater than or equal to 402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jww when three letters picked without replacement from jmjjmjwmjwmmjjm?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 13. Suppose 0 = 5*y - 15, -4*i + i = y - 18. What is the remainder when j(0) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 11. Let m = 86 - -5. Let l = 95 - m. Let v be h(l). Is 16 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.651 + -10.146\nAnswer: -10.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 72. Sort 0, -0.2, -1, s in decreasing order.\nAnswer: s, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 3. Let l be o(0). Suppose -l*z + 17 = p + p, -5*p - 4*z + 32 = 0. Suppose 38*m + 99*m = 3*m. Solve p*u - 7*v + 7 = -2*v, m = 5*u - 2*v - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(6288\/426))\/(4\/(-139)). Let k = 60\/131 + t. What is the common denominator of -7\/43 and k?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 10*i - 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 471 = 2*a, -5*h + 0*a - 4*a = -453. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.36 - -6?\nAnswer: 8.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 96\/160 - 34\/(-10). Solve 5*x + 23 = 2*x + 5*r, -12 = -4*x - h*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - b**2 + b. Suppose -4*m + 14 - 2 = 0. Suppose 5*n = 3*t + 20, m*t = -3*n - 11 - 1. Calculate the lowest common multiple of i(n) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 174, 3.\nAnswer: -1, 3, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qequieg. What is prob of picking 1 q and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -408 + 3271\/8. Let r = 3\/8 - z. Which is the closest to r? (a) -0.3 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352925982?\nAnswer: 2, 3, 643, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(-2) + (-22725)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2220320 and 1280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -396 - -9110\/23. Let i = -19622 - -19626. What is the second smallest value in 5, y, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j - 3164 = -5*m + 22*j, -3*j = -12. Let o = m - 603. Calculate the remainder when 33 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/9 - 152690*l\/9 + 33932 = 0.\nAnswer: -76347, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(5) - (0 + sqrt(5)*-3)))*2)**2 - ((sqrt(120)\/sqrt(3))\/sqrt(4))\/(-2*sqrt(128) - sqrt(2)).\nAnswer: sqrt(5)\/17 + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4378\/37853?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*(1 - 2 - 1)*(w**4 - 4*w**4 - 3*w**4) + (-1 - 2*w**3 + 1)*(2*w**2 - 3*w + 3*w) + 137*w**5 + 708*w**3 - 708*w**3.\nAnswer: 121*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1502, -3020, -4564, -6146, -7778, -9472, -11240, -13094?\nAnswer: -15046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 5*j + 2*k, -89*j + 87*j - 82 = -80*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rryrrrrr. Give prob of sequence rrrr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/22629542 and 87\/113147710?\nAnswer: 113147710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1, 7, 15, 25, 37?\n\"Answer: k**2 + 3*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 17*u - 8. Determine y(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/72 and 41\/20694.\nAnswer: 248328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -436263 (base 7) in base 4?\nAnswer: -102231120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708000 rounded to the nearest ten thousand?\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 3. Solve -o*k - 2*k = 2*z - 21, -5*z + 9 = -2*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -81. Put v, -6, 2 in ascending order.\nAnswer: -6, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*a + 2)*(-127 + a**2 - 11*a**2 + 129) in the form d + k*a + b*a**2 + l*a**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w + 18. Let v(p) be the second derivative of 10*p**3\/3 - 26*p**2 + 3*p + 3. Let n(r) = -17*s(r) - 6*v(r). Calculate n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49534, -99278, -149228, -199384?\n\"Answer: -103*i**2 - 49435*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4074)\/266 + -6 + 7 - (-56)\/20*5.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4003 and -4001 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 2)*(8 - 20 + 1)*(4 + 0 + 0)*(-5*v + 2*v - 2*v)*(-v - 3 + 3)*(-2 + 3*v + 2).\nAnswer: -2640*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 14 = -4*z. Suppose 0*a - 9 = a + z*r, 2*r = -6. Suppose 2 + 14 = d + g, -3*g = 5*d - 80. Solve 3*h - 12 = -2*i, -a*h = 2*i - h - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-6)\/(-93) - (-720)\/372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*-3 - sqrt(243))*3 - sqrt(243))**2 - (sqrt(243)*-3*5)**2.\nAnswer: -13608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12816 (base 10) to base 2.\nAnswer: 11001000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8*-5*(-1)\/(-4). What is the highest common divisor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216486, 432958, 649428, 865896?\nAnswer: 1082362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 686\/571, -4\/13 in decreasing order.\nAnswer: 686\/571, -4\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/13? (a) 10 (b) -5 (c) -4 (d) -0.3 (e) 0.04522\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.8 + 20. Let p = k - 0.2. Let j = -49\/129 - -2\/43. Which is bigger: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10016873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 13. Suppose 4*o + 4*x = -23 - 1, 0 = -5*o + x. What is the nearest to a in o, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 2*q**2 + 1. Let o be 0 - (-1 - 1 - -3). Let v be (4\/(-6))\/(o\/(-3)). Does 5 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 10:57 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -57, -118, -203?\n\"Answer: -12*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 15*p**2 - 13*p - 11. Let l be s(14). Suppose -2*x - 49 = -2*y - y, 0 = -3*y - l*x + 24. Solve 4*u + y = 3*d + 38, -3*d = u + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 24*u**2 - u - 7. Let m be a(-3). Let p = 222 - m. Solve 0 = 5*l - 0*l + p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence luu when three letters picked without replacement from {u: 3, e: 5, l: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j = -12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {k: 7, e: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 785*v**2 - 10*v - 12. Let c be z(1). Is c greater than 1523\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 2222220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24093 + r - 24093.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + i**4 - 4*i**4 - i**2 - i**4 + i**2 + (-4 + 4 - 1)*(0 + i**4 + 0) in the form h + r*i + g*i**2 + x*i**3 + v*i**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 14 = -2*k, 3*b - 10 + 4 = -3*k. Let a(o) = 4*o**2 + 1 - 2*o - 2 - 2. What is the remainder when a(-2) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 14, -2, -5 in decreasing order.\nAnswer: 14, 13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -35?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000238196 rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 75. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1258 or 9189?\nAnswer: 9189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -6, 0*c - 27 = -5*c - 4*z. What is the highest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f - 4)*(-2 + 2 + 2) - 1 - 2*f + 1 + (-2*f + 5*f - f)*(0 + 1 + 0).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2)*2*-4*-3.\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 1. Let b(v) = -14*v**2 + 9*v - 2*v + 0 + 6*v**a + v**3 + 1. Let u be b(7). Let l(o) = 4*o**3 - o + 1. Give l(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 11\/6717039 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 - 90 = 0. Suppose 5*b + i = -5, 4*b = -4*j + 740. Round j to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 3955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1807, -1701, -1509, -1189, -699, 3, 959, 2211?\n\"Answer: 7*h**3 + h**2 + 54*h - 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321255011?\nAnswer: 7, 11, 29, 47, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 475 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = x + 2*j, 3*j - 28 = -5*x + j. Suppose 1905 = x*l - 1171. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(130) - sqrt(130)*2)*3 - sqrt(130)) + sqrt(130) + 1*2*sqrt(130))\/(-4*sqrt(10)*-2*-3).\nAnswer: sqrt(13)\/24 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 34 = 11. Let u be 2\/(3 - (-21)\/d). Let -6*a**2 - 2*a**u - 7*a + 4*a - 2*a**3 + a**3 = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61\/13 (b) -15 (c) -2 (d) -3 (e) -92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - n = 0, n = -x + 4*x + 1. Let y be 4\/(-10) + (-1)\/(-15). Which is the third smallest value? (a) x (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61970 - 61949 + 123919 + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169*q**3*s**2 + q**3*s + 2*q**2*s - 5*q*s**5 - 4*q*s**3 + 3011 wrt s.\nAnswer: 338*q**3 - 100*q*s**3 - 24*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*x = 6, -x - 1 - 1 = 2*m. Let a(l) = l**3 + l**2 + l + 5. What is the units digit of a(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 3*c**2 - 5*c - 10. Let f be u(-5). What is the hundreds digit of f + ((-76)\/57)\/(2\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13857547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.53? (a) 5 (b) 2 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - ((-8 - (-1 - -2)) + 711 + -720).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = 41*c + 18. Let v = -92 + c. Is v at least as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u - 8. Let z(r) = 1. Determine -i(k) - 6*z(k).\nAnswer: 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 - 85 + 180 - 95.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/15 + 5\/3. Let w(i) = -4*i**2 + 51*i + 23. Let d be w(13). Solve u*s = 7*s - d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3634*h = -3632*h + 49, 2*c + 7 = h. Let y(f) = -5*f**3 - 3*f**2 - 3*f - 3. Let i(s) = -10*s**3 - 7*s**2 - 7*s - 7. Determine c*y(o) + 3*i(o).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -984 = -3*w - f - 2*f, 3*w - 5*f - 1016 = 0. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(143)*1)\/((sqrt(77)*1 + sqrt(77))\/sqrt(7)))**2 + 3*(sqrt(468) + sqrt(468)*-1)**2*5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.046 and -304?\nAnswer: -13.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 815 and 978?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4118807*f + 2*f**2 - 4118807*f. Let r(w) = 184*w**2 - 23*w - 23. Let l(b) = -23*b**2 + 3*b + 3. Let d(c) = 46*l(c) + 6*r(c). Give d(v(s)).\nAnswer: 184*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 18*t + 24. Let o be z(19). Suppose 4*n = 3*i - 40, -3*i - 50 = o*n - i. What is the tens digit of (-526)\/n + 12\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l**3*n**3*s + 4*l**3*n*s - l**3*s + 2*l**3 + 17*l**2*n**2*s - 2*l**2*s - 1806*l*n**3*s wrt n?\nAnswer: 18*l**3*s - 10836*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 1\/3, 1, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 558726.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 177?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**7\/2520 + 5*z**4\/24 - 7*z**2. Let g(j) be the second derivative of h(j). Does 2 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 51*m + 6414. Determine a(-133).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 21*l + 366. Let t be c(-32). Let g be ((-126)\/12)\/((-18)\/1896). Calculate the highest common factor of t and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 3, m: 3, w: 1, z: 3, b: 3}. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 901*i**3 - 953*i + 1 wrt i.\nAnswer: 5406*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -90 by -18903.\nAnswer: 30\/6301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 0*k - 2*k**2 + 8*k. Let b be (-8 - -1) + 1 + 0. Suppose -7 = -4*d - 3. Let p(f) = -f**2 + f. Determine b*p(m) + d*a(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0 - 11 + 2 + 8. Let m(h) = 3*h + 4. Give m(a) + 3*y(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 + 4*t + 1. What is w(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 4*t**2 + t + 4. Give i(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*o**2 + 292 - 292 + (-3 - 2 + 3)*(-o**2 + o**2 + o**2))*(4 + 4 + 10)*(2*o + 0 + 0).\nAnswer: 648*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -0.209242282.\nAnswer: -0.627726846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.607357l in millilitres?\nAnswer: 607.357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40563 to the power of 1\/2, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000 (base 4) in base 9?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/5040 + j**6\/240 - j**5\/60 + 31*j**4\/24 + 326*j**2. Let c(d) be the third derivative of q(d). Calculate c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10937, -43604, -97999, -174128, -271997, -391612, -532979?\n\"Answer: -y**3 - 10858*y**2 - 86*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b + 0*b - 4)*(2*b**3 + b**2 - b**2).\nAnswer: -2*b**4 - 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*n - 4*l - 4 = -87*n, -2*l = 4*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -260551853282 and 12.99.\nAnswer: -260551853269.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 461514, 923028, 1384542, 1846056, 2307570?\nAnswer: 2769084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -12*o - 6. Solve 5*z + o*z = -40 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5929 - 5929.0049623. What is q rounded to five decimal places?\nAnswer: -0.00496","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5676637.\nAnswer: 271, 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -210.5 from -512.\nAnswer: -301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*d**4 - 127*d**4 - 129 - 166 - 365*d**4 wrt d?\nAnswer: -2044*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v - 72*v + 34*v = 192 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2. Let w(t) = t - 9. Let b be w(12). Suppose -b*r - 12 = -24. Let o(h) = r*h + 10*h - 13*h. Calculate o(f(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 514.13 and -2.\nAnswer: 512.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742874210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -22003?\nAnswer: 22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 49. Is x + (1 - (3 + -3)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + m + 3*m = 16, -m = -2*c - 4. Suppose -k - 1 + 0 = c. Does 16 divide (-382)\/(-8) - k\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30605313284 - 30605313920.95978134. Let u = -730.9597804 - g. Let o = u - -94. What is o rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(-49)\/((-18375)\/40)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r**2 - 234*r + 1158. What is q(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-2.72535.\nAnswer: 73.58445","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/9 + 6 + 1 + -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378.1166 millilitres in litres?\nAnswer: 0.3781166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-480)\/(-140))\/4)\/(6\/28). Let r(t) be the first derivative of 0*t**2 + 7\/5*t**5 - 6 + 0*t**3 - 7*t + 0*t**o. Find the first derivative of r(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 839.5899nm in meters?\nAnswer: 0.0000008395899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c - 3*r, 4*c + 8*r - 4*r = -20. Let s be (2\/3 - c)*60. Suppose -s = -2*j + 22. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*a + 46*a + 30*a + 48*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a + 5*m = 0, -3*m = -6. Suppose -x - a = -2*x. Solve 2*q + 4*d = -x*q + 16, 4*q - d - 21 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10) - (-6)\/(-360)*186)*44084\/(-1498)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -10*z**2 + 0*z - 11\/210*z**7 + 0*z**5 + 0*z**6 + 11\/24*z**4 + 0*z**3 + 0. What is the second derivative of n(t) wrt t?\nAnswer: -132*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 12333?\nAnswer: -12327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -3\/14, -3, -1, -2, 0.4 in ascending order.\nAnswer: -62, -3, -2, -1, -3\/14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 3:58 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6028 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s. Let b(g) = -2*g**2 - 14*g - 452. Let y(i) = 2*i + 1. Let n(v) = -b(v) - 7*y(v). What is r(n(t))?\nAnswer: 6*t**2 + 1335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1032*n + 6 - 29 - 17.\nAnswer: 1032*n - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/56 - 0\/(-5 - -2). Factor 0 - i*r + 3\/7*r**2.\nAnswer: 3*r*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -335.712 - -338. Let r = l - -0.312. Which is the third smallest value? (a) -2 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 4. Let r be g(7). Let s(l) = 4*l**r + 4 + 3*l**2 - 2*l**2 + 3*l**3 - 5. Let c = 1 + -2. Give s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17702 - -31049. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17658 divided by -3.\nAnswer: 5886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7720443?\nAnswer: 3, 857827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/14 and 59\/44670.\nAnswer: 312690","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let a = 16 - 20. Suppose -5*k = -8 - 72. Let f = a + k. Calculate the highest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 354660*k**6 - 303347*k**2 wrt k.\nAnswer: 42559200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4156 and 6234.\nAnswer: 12468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -16 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 d, and 1 o when four letters picked without replacement from hodohddhhhhhhhhooh?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 56871386.5 rounded to the nearest ten thousand?\nAnswer: 56870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from ivcvncvvcvvcvvvc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u - 2*u)*(3*u**4 + u**4 + 3*u**4) + 3*u**2 - 3*u**2 + 2*u + u**5 + 5*u**5 + 0*u**5 - 2*u**5.\nAnswer: 11*u**5 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120 and 12480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103 + 12?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*f - 2*o - 4, -4*f - 16 = -2*o. Let u be 12\/f - 42\/(-7). Solve -4*q + j - 15 - 5 = u, -16 = q - 3*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((128\/(-12))\/8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = 2*l + 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 19*q**3 - 7*q)*(-4*q + 5*q - 2*q)*(0 + 3 - 2).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 36*a**3 + 192*a**2 + 1792*a = 0. Calculate a.\nAnswer: -8, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 l, and 1 u when three letters picked without replacement from {x: 2, t: 2, w: 1, i: 1, l: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 536786?\nAnswer: 2, 311, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 31665 = -5*c + c, -4*c + 52759 = 5*y. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of 0*k**2 + 1\/6*k**4 + 0*k**3 + 0 + k. Let x(p) be the first derivative of -3*p**2\/2 - 32. Determine x(t(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 13 = -4*u + 7*u, 0 = 4*v - 2*u + 4. Let b be 78*(-16)\/738*v. Let w = b - -1\/41. Calculate the common denominator of -58\/9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101000100 (base 2) to base 13.\nAnswer: -b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 266 + 977. Let s = z + -1242.103. Round s to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 + 3\/4*g**2 + g.\nAnswer: (g + 2)*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 + -3 - (4 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4820 - 4820 + 765*b as m*b + d and give m.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 2*j + 2. Let b(o) be the third derivative of -o**5\/30 - o**4\/6 - 5*o**3\/6 + 554*o**2. Give 6*b(i) + 13*k(i).\nAnswer: i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:11 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1533, 3, -2\/3, 1\/4, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/231)\/(924\/15972)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*a - 2)*(2 - a**2 - 2) + (1 - a - 1)*(12*a**2 + 2 - 2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 53400 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -162\/96043 (b) 3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 52932 divided by 169\nAnswer: 52932\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -4)\/((3\/(-267))\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 + 643*l**2 - 9213*l - 9855 = 0. What is l?\nAnswer: -657, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbtvfeezeff. Give prob of sequence fv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -0*o. Let f(a) = 62*a - 9. Let k(x) = 108*x - 16. Let v(i) = -7*f(i) + 4*k(i). Determine v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-13 + 11 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19 - (3 + 6\/(-1)). Let z be d*(-2)\/(-14) + 2. Let u = -4 - -1. Sort u, z, 3.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497, -6545, -15133, -27255, -42905?\nAnswer: -62077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93208075 is divided by 2289.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.11 and -166031835.\nAnswer: -166031834.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*15\/(-72)*17683. Let q = y + 7358. Calculate the common denominator of q and 43\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2020, -3800, -5516, -7174, -8780, -10340?\nAnswer: -11860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1625 divide 119032875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 227 - 161 = 12*q, 0*q + p + 8 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 z when four letters picked without replacement from {v: 3, z: 4, t: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143736710*l**2*n**2 - 13*l**2*n + 5374*l**2 - 10*l*n - l - 2*n wrt n.\nAnswer: 287473420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8474.6382 rounded to the nearest 10?\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 917\/120 + -23\/5. Calculate the common denominator of g and 101\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40152 or 40086?\nAnswer: 40086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:54 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -2\/7, 15288, 1\/4, -13 in ascending order.\nAnswer: -13, -2\/7, 0.08, 1\/4, 15288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 47.12667 milliseconds?\nAnswer: 47126670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/3))**(-7\/3))**(-41) assuming j is positive.\nAnswer: j**(574\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 4. Let s(d) = -15*d + 7. Suppose t = -2*a + 3, -a - 16 = 9*t - 5*t. Let v(y) = a*s(y) + 7*r(y). Let w(n) = n**2 - 3. Give w(v(x)).\nAnswer: 16*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1.66393?\nAnswer: -3.66393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 23*l**2 + l - 8. Suppose 3*u - 92 = -u. Calculate the remainder when 73 is divided by w(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -3?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcc when three letters picked without replacement from {k: 3, p: 1, c: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7790*x + 7795*x = -4*j + 93, 7*j = -0*j + 5*x + 94 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 151*m**2*y**2 + m**2 - y**4 + 2*y**3 - 233*y wrt y?\nAnswer: 302*m**2 - 12*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a minute in seconds?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a0a99 - 20?\nAnswer: 1a0a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103215 - 6?\nAnswer: 103207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6843 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 23*k - 20. Let o be h(22). Suppose -20 = -4*c, -o = -3*m + 2*c - 0. Suppose -u + 169 = y, -4*u = m*y + y - 677. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2030.1 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -443 minus -0.08?\nAnswer: -442.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 20098, 2, 4, 5136 in descending order.\nAnswer: 20098, 5136, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4)**(3\/4)*(l*l*l**(-21)\/l*l)\/l**(2\/21) assuming l is positive.\nAnswer: l**(-338\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**5\/10 + f**4\/12 - f**2\/2 - 9*f. Determine i(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 406*z + 489. Let q be r(80). Solve -4 = -2*o, 4*o = -3*v + q*o - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -622, -564, -410, -112, 378, 1108, 2126, 3480?\n\"Answer: 8*b**3 + 2*b - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1517 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*z + 10 = 0, 43396*z + 6 = -2*d + 43399*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -52. Let b be 3\/(-15) - (-26)\/5. Suppose o = b*m - 237, 3*m - 4*o - 246 = -97. Calculate the remainder when m is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ogfrqqgggrqy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5158*d - 177. Is h(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -2\/9, -360, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:05 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -35. Suppose x*k - 9 = 2*k. Suppose b + k*b = -8, -4*b + 96 = 4*v. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74241729 < 74241726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*m**2*s**3 - 232788*m**2*s**2 - 904*m*s**3 wrt s?\nAnswer: -1128*m**2 - 5424*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) - sqrt(768) - 5*(sqrt(3) + 0)) + 0.\nAnswer: -17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 - 24.4. Let f = 75.7 - 105. Let z = a - f. Round z to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or -2.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1146 (b) -1 (c) 0.5 (d) -13\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 5 (c) 4\/17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30479075 minus 95.02?\nAnswer: -30479170.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/294 and -131\/490.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 194616980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24970419 - -5955814. Suppose 0 = -5*q + 102779581 + 30793444. Let m = r + q. What is m rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16559676 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 767 is divided by 73?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/4 + 477505*p**2\/4 - 477507*p\/2.\nAnswer: p*(p - 2)*(p + 477507)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275267 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(15\/4) assuming l is positive.\nAnswer: l**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3 - 3 + d - 2 + d**2. Is o(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15073393 to the power of 1\/3, to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2589 - -2575. Let s(w) = 10*w**2 + 24*w - 4. Let k(x) be the second derivative of -x**4\/6 - 5*x**3\/6 + x**2\/2 + 6*x. Give a*k(c) - 3*s(c).\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110228910 divided by -6.\nAnswer: 18371485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*u + 91 = -5*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132242259 a multiple of 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 2\/3, 0.176, 1, 0.01, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 7, -0.08, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23\/(-92) - (371511\/12)\/3. What is s rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -937*z + 912*z = -25. Sort 28, z, -26.\nAnswer: -26, z, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + o - 4. Let c be f(4). Let h = -133 + 137. What is the highest common factor of h and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897989 is divided by 1283.\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1931*4.\nAnswer: 7724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*(m**3\/m)\/m)))**(-1\/20)\/((m*m**(-1\/16)*m)\/m**(-1\/8)) assuming m is positive.\nAnswer: m**(-177\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 132. Let s = -28 - g. Solve 0 = m - s*k - 8, -13 = -5*m + 2*k - 4*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 13. What is the nearest to -2\/7 in -0.3, 2\/7, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 6 = 0. Suppose -3*p = -b - 20, -j*p - 4*b = -0*p + 5. What is the lowest common multiple of 4 and 6\/p*-1*-15?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuwu when four letters picked without replacement from vcuuuvuvwuuvuvuavwu.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -954700052 divided by -26834.\nAnswer: 35578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -324 - -319. Sort -5\/9, c, 4.\nAnswer: c, -5\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0193369214 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 8*o**2 - 12*o + 10. Let q be r(-5). Put -57, q, 2, 4\/9 in decreasing order.\nAnswer: 2, 4\/9, q, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8217101.06865023 - -8217101. Let q = 40.83581977 - f. Let k = -40.9 + q. What is k rounded to 4 dps?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 43 = -3*r, 105*n + 2*r + 173 = 102*n. Let z = -7 - -2. Sort 3\/8, z, 0.3, n in decreasing order.\nAnswer: 3\/8, 0.3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 78, 33, -116, -405, -870?\n\"Answer: -6*u**3 + 2*u**2 + 59*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 87. Let t = q - -81. Solve -3 = y - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 12:21 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7209, 31053, 71463, 128445, 202005, 292149?\n\"Answer: s**3 + 8277*s**2 - 994*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 46*l**2 + 56*l - 75. Determine u(45).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {j: 3, z: 3, o: 3, a: 11}?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546.973 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15906407 and 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.49 + 4.257. Let a = i - -0.233079. Round a to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.508535 to 2 dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(3*4\/618). Let a = n + -55. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25397044007 + -31?\nAnswer: -25397044038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 - 3564\/(-28). Suppose 3*n - f = 125. Let t = n + -75. Solve -5*j - z + 3*z = 17, 5*j = 4*z - t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4)*(-5*a + a + 2*a) - 4 + 0*a - a - 1 as i*a + s and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 + 31*g**4\/3 + 241*g**3 - 1093*g**2\/3 - 1807*g + 3042 = 0?\nAnswer: -9, -3, 2, 13\/6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4105*k - 821. Let w(r) = -3*r - 1. Let a(z) = -u(z) + 821*w(z). Let g(n) = 2*n. Give g(a(t)).\nAnswer: 3284*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 70. Let s(h) = -190*h**2 + 19*h + 25. Let b(a) = -127*a**2 + 13*a + 17. Let v(n) = t*b(n) - 5*s(n). What is the second derivative of v(g) wrt g?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 8*u - 21. Let i be k(10). Let y be (4 + i)\/(3\/10). Solve 2*w - 8 + y = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 13*b - 9. Let u(f) = -7*f + 5. Let k(n) = -4*a(n) - 7*u(n). Let y = 831 + -829. Suppose 0 = y*j + 2*g - 20, g = -5*j + 6*g. Give k(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v + 2*w - 40, -3*w + 51 = 5*v. Let b(u) = -u**2 + 11*u - 11. Let o be b(10). Let m be 9 + o + 0 + 1. Is v less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2601 by 289.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 1353 = 4*g - 1315, 0 = -2*w + 21*g - 13 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1792, 3860, 5948, 8056?\n\"Answer: 10*l**2 + 2038*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + v + 8. Suppose -6*t - 5*o + 23 = -2*t, 4*t + o - 27 = 0. What is the lowest common multiple of t and f(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + r - 2*r)*(15 + 25 - 66).\nAnswer: -104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176145053*g**4 - g**2 - 51462084*g - 1.\nAnswer: -4227481272*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -0.78, 1\/3 in ascending order.\nAnswer: -10, -0.78, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*h**2*n**3 - 53*c*h*n**3 + 4*c*n**2 - 18*h**2*n + 2*h*n + 2*n**3 - 2*n**2 wrt n?\nAnswer: -12*c*h**2 - 318*c*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 6. Let y = -83 - -58. Let i = 61 + y. Calculate the highest common factor of i and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1103 - -1099. Sort 60, -5, -1, n.\nAnswer: -5, n, -1, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146316353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + (sqrt(39) - (sqrt(117) + sqrt(117)*2 + sqrt(117))\/sqrt(3)))\/(-1*sqrt(48)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 - 2*t**3 - t**3 - 3*t**3 + 0*t**3 + 2*t**3 + (t + 0 + 0)*(t**2 + 3*t**2 - 2*t**2) + t**3 + t**3 + t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u**2 + 1. Let a(i) = 3*i**3 + 13*i**2 - 14*i + 32. Let m(z) = a(z) + 2*o(z). Let x be m(-16). Let w be 1 + 2 + -2 + (3 - x). Is 18\/11 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 20. Suppose -48 = -4*d + m*x, 2*d - 32 = 2*x + 2*x. Suppose 11*k - 252 = d*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 3. Let f(g) be the second derivative of -g**4\/12 + 2*g**3\/3 + 2*g**2 + 234*g. Let t(v) = 3*v + 3. Determine m*t(y) + 3*f(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 43846050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 11271.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13901, 55542, 124941, 222116, 347085, 499866?\n\"Answer: 3*s**3 + 13861*s**2 + 37*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 8*t**2 - 5*t + 2. Determine i(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0*q + 0*q**4 + 0 + 1\/60*q**5 - 2\/3*q**3 - q**2. What is the derivative of w(c) wrt c?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and -1.3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 18*q - 26. Is u(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Suppose g = -3*w + 108. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1634741.\nAnswer: 5\/1634741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002226715778 to six decimal places.\nAnswer: 0.002227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7631186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11101000110001 (base 2) to base 14\nAnswer: 5601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -173 + -8191?\nAnswer: -8364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*35\/(-45)*3 - -437.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 224, 336, 448, 560, 672?\n\"Answer: 112*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, 1, -5, -704, 5, -0.4, 2.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 13 + 14)*(135*s - 76*s + s) + 5*s - 5*s + s.\nAnswer: 901*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43300 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 223330778?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40224 is divided by 2664.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 12:48 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1436 bigger than -1436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 197100.154 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -28019 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.033, -3, -7.105 in ascending order.\nAnswer: -7.105, -3, 0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*n**2 - 3 + 2*n**2 + 4 - 4 + 0*n**2 + 2*n**2 - 3*n**2 + (-3*n**2 - n**2 + 3*n**2)*(-1 + 2 - 3) - 11*n**2 + 21*n**2 - 92*n**2.\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 4. Let v be q(-3). Let n be ((-1)\/v)\/((-2)\/(-12)). Suppose g + n = -0. What is the nearest to -2\/5 in -1, 3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 - (28 - (30 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + g - 2*g**2)*(-2*g + 2*g - 2*g)*((2 + 1 + 0)*(2 - 2 - 1) + 0 + 0 - 3) to f*g**2 + c*g**3 + w + j*g and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -29. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 - (-1 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*g*t**3 + 2*g*t**2*v - 50*g*t*v**3 - 2461*g*t*v**2 + 26*g*v**2 - 2988997*t**4*v**3 + t**4 wrt t.\nAnswer: 120*g - 71735928*t*v**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 3:59 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3389771 and -2\/4617?\nAnswer: 823714353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 4825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.97765 nanograms to grams.\nAnswer: 0.00000005697765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22 and (-684)\/64 - -11 - 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.3157 nanometers to millimeters.\nAnswer: 0.0007993157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 0 - sqrt(153))*4)**2*-6*-4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -1194.43?\nAnswer: 107.4987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -1\/3, -5\/274?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435361 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 10*r - 20. Let d be j(4). Suppose p + 2*p = d*f + 7, 3*f = 4*p. Sort 3, p, 50\/7.\nAnswer: p, 3, 50\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 476998.2kg?\nAnswer: 476998200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1310\/247 - -1605\/13. Let s = 47237\/380 - z. Let p = 2527\/522 + -316\/29. Calculate the common denominator of s and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:02 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12, -148, -512, -1218, -2380, -4112, -6528?\n\"Answer: -19*h**3 - 3*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -554*l**2. Let o(n) be the first derivative of n**3\/3 + 8553. Determine a(o(v)).\nAnswer: -554*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 j, and 1 i when four letters picked without replacement from {j: 3, d: 3, w: 1, i: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12821 + -11?\nAnswer: -12832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44 - (-3 + 14)) + 9. Let j be 12\/5 + 2\/(-5). Let d be (t\/(-24) - 0) + 1*j. What is the nearest to d in 0, -3\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/3683 < 291\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*((((y*y*y**(-3)*y)\/y*y)\/y)\/y)\/y)\/(y**(-2))**(2\/37) assuming y is positive.\nAnswer: y**(-440\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -1581?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqaqwaaomkmm. Give prob of picking 1 a and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f**2 - 13*f**3 + 14*f**3 + 4*f - 1 + 2*f. Determine w(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*o - 4*o - 4, 4*o + l - 6 = 0. Let s be ((-3)\/(-20))\/(o\/(-8)). Let h = 2\/349 + -353\/698. Which is the third biggest value? (a) s (b) h (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2049837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20*m**3 - 31*m**2 - 2*m + 137. List the prime factors of z(14).\nAnswer: 41, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/1*1*(-28)\/(-1456)*26?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**8\/1260 - x**7\/210 + x**6\/135 - 13*x**3\/3 + 21*x**2. Let a(q) be the first derivative of u(q). Factor a(c).\nAnswer: 4*c**2*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -0.150016. Round s to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647753.5 nanoseconds to microseconds.\nAnswer: 647.7535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 424*p - 2. Suppose k = z, 7*k - 8*k + 6 = 5*z. What is the tens digit of g(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4) + 6\/8 + -3.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129557 divided by -5?\nAnswer: -129557\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3628 * 0.3\nAnswer: -1088.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -10*w**3 - 19*w**2 - 6*w - 25. Let k(o) = -7*o**3 - 13*o**2 - 4*o - 17. Let z(x) = -5*g(x) + 7*k(x). Give z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2136 - -2136.004366. What is m rounded to 4 dps?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(6)*2))\/(sqrt(12)\/sqrt(4)*4).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1123, -1169, -1261, -1411, -1631, -1933?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 8:48 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3550227 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146 and 421?\nAnswer: 61466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 443*b + 13834. Determine z(34).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 3*d - 46, 0 = -333*d + 330*d - 5*p - 4 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (-1*sqrt(20) + sqrt(20))**2 + sqrt(100)\/sqrt(5) + 0.\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 100. Let t(a) be the second derivative of 2*a**4\/3 - 149*a**2\/2 + 2*a + 4. Let n(f) = -7*g(f) + 5*t(f). Factor n(r).\nAnswer: 5*(r - 3)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -15. Let v = -405 - -425. What is the remainder when v is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206022 to the nearest 100.\nAnswer: 206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**3 + 13*x**2 - 9*x - 18. Determine b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 82*w**2 - 257*w + 1022. Calculate n(85).\nAnswer: 852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 42065 - 846303 = 0. Suppose 11*o - u = -2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*g = -54, -7 + 34 = 4*a + 3*g. Let c be (-3)\/(3 - a\/2). Let s = c + 0. Solve -4*v - s*n = -6, 2*n - 3 - 3 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 less than 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 605955?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 + 0 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.649 + -0.029. Sort -0.5, g, -3 in descending order.\nAnswer: g, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = l + 2, -8*i + 3 = 3*l + 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m + 271 = 3*m + 1387 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*j**3 - 83*j**3 + 126*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.354 + -3.614. Let t = 25.94 - r. Let a = t + -27. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3769300.\nAnswer: 3769300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2171763 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1847*x**3 - 11*x**2 - 21*x - 9. Does 168 divide y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 11:25 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4406 (base 11) to base 8\nAnswer: 13266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 7. Suppose 0 = j - 19 + 1. Suppose -18*r = -15*r + j. Let g be s(r). Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*c - 15*c - 388 - 233 = 0. Solve -17*b = 159 - c for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v = 38*v - 4332. Suppose 9 = -3*s, 4*s = -5*n + 7*s + v. List the prime factors of n.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 - 116336*q = 0.\nAnswer: -29084, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1655510 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 9 - 2*b**2 + (-4 - 2*b + 4)*(53 - 53 - 10*b) + b**2 - 4*b**2 + 4*b**2 + 0*b**2 + 5*b**2 - 2*b**2.\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -18. Let d be 1 + (-24)\/9*3. Let s(m) = m**3 + 7*m**2 - 3*m + 9. Calculate the remainder when s(d) is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 8*o - 6. Let i be h(-7). What is the second biggest value in 1\/8, -0.2, i?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 54.00000031. What is n rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 2 - 4)*(2*t**2 + 2 - 2)*(0*t - 3*t + t) - 2664*t - 106*t**3 + 2664*t.\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11252738 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 64, 40, -4, -74, -176, -316, -500?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqynk. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*c = -25, 10*r - 11*r + 5*c = -25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9511529 = 87*g + 9508658 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 85035*d**2 - 1807695288*d - 1807780324.\nAnswer: -(d - 42518)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5, 8\/13 in descending order.\nAnswer: 5, 8\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.059 and -4.9252.\nAnswer: -4.9842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -1788433?\nAnswer: -6\/1788433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + 3*f + 0*f + (-4 - 2 + 4)*(-f + 5*f - f) - 3*f - 4 + 4 + f + 0*f + f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/4)\/5)\/((-2)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 9) to base 5.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Let d be 3\/(-24) + 6\/48. Suppose 0 = o*n - d*n - 44. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 27\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -42, -66, -90, -114?\n\"Answer: -24*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3 + 1 - 14*u**2 + 15*u**2 - 6*u. Let v be d(5). Let x be v\/((-4 + 0)\/(-388)). Round x to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z. Let u(m) = -6*m + 4*m**3 + 6 - 2*m**3 + 7*m**2 - 3*m**3. Let t be u(6). What is d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4848*-1\nAnswer: -4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(375\/10))\/(14\/(-798))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r)*(-3 + 1 + 0) + 4*r - 3*r - 2*r + (2 + 0 - 1)*(0 + 0 - r) + 3 - r - 3 + (-6 + 2 + 2)*(2*r + 4 - 4).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -628*b**2 + 14*b + 16. Calculate h(-1).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-26)\/28 + 18\/(-24) and 99\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 56277161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -35*r**3 + 7*r**2 + 24*r. Let w(p) = -17*p**3 + 4*p**2 + 12*p. Let f(u) = -4*j(u) + 7*w(u). What is the second derivative of f(a) wrt a?\nAnswer: 126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0.4, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 733081.\nAnswer: 1\/733081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120*((-42)\/9)\/(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.32. What is the fourth smallest value in 0.1, -2\/15, n, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8730.\nAnswer: 2, 3, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -882, -1322, -1762?\nAnswer: -2202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 i when four letters picked without replacement from {a: 3, p: 9, i: 1, v: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 345 + -237. What is the smallest common multiple of v and 12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 1\/42, 160, -170 in descending order.\nAnswer: 160, 1.1, 1\/42, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12589 - 138530\/11. Is x smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13559586 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/127? (a) -2\/5 (b) -2 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1450\/31 + 697505\/14942. What is the common denominator of 79\/4 and n?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*x**2 + 28*x + 75*x**5 - 78*x - 31*x**2 - 3 wrt x.\nAnswer: 1500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*i - 3*o + 176, 3*i - 4*o = 264. Suppose -h = i - 439. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-483)*7\/(-15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/2*45\/27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 621.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/3 and -0.22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 8 + -4 - (13 - 5).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 106786.38 take away 95?\nAnswer: 106691.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 41. Let g = 58805647.000066 + -58805713. Let s = u + g. What is s rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185570 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 g, and 1 d when four letters picked without replacement from bdqgbbqb?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 38*y**2 + 2*y + 101. Calculate the remainder when 110 is divided by f(-38).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x - 342 + 463 + 1239 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + i - 2*i - 771, 0 = r + 4*i - 171. List the prime factors of r.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12327 by 587.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(70)\/sqrt(7) - (sqrt(10) - (sqrt(90) + (4*sqrt(90) - sqrt(90)))))\/(-1*(sqrt(245) + ((sqrt(245)*1 + sqrt(245))*-5 - sqrt(245)) + sqrt(245))).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 2. Let f be i(4). What is the units digit of (1 - 5)\/(1\/f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**2*m**2*x**3 + 16*j**2*m**2 + j*m**2*x**2 - j + m**2*x**3 + 7*x**2 wrt j?\nAnswer: -2*m**2*x**3 + 32*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -424*u + 54651. Give s(129).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52440 and 1?\nAnswer: -52440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/12))**(1\/4) assuming s is positive.\nAnswer: s**(-1\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/11 - 1071\/3*-78 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509523 is divided by 343.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.5, 3, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31 times -2\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**8\/20160 - n**7\/720 + 7*n**6\/720 - n**5\/60 - 3*n**2. Let x(o) be the third derivative of g(o). Give x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 + 1186 = 164*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 16 = 5*g + 19, -4*c = -5*g. Calculate the common denominator of g\/100*30\/(-4) and 25\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Which is the closest to 1\/3? (a) -3\/7 (b) t (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122473 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (258 + 11*n - 256 - 5*n)*(2*n - 2*n + n)*(-8 + 6 + 13)*(-2 - 4 + 3) to c + p*n + a*n**2 and give a.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 15)*2\/4. Find the second derivative of -2*d - d**5 - 23*d**5 - 4*d + w*d**5 wrt d.\nAnswer: -340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 9*g**3 + g - 7*g**3 + 10*g**3 - 1. Let m be r(1). Calculate the highest common divisor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from olqnlhhhhoff. Give prob of sequence nql.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326360 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27194*o - 27194*o - 1 - 81*o**2 - 2*o**3 to the form g*o + d*o**3 + i + p*o**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 43691*u**2 + 32378 wrt u?\nAnswer: 87382*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 19*b + 71. What is m(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -105.7, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-124)*3*29*12\/54.\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -825 in descending order.\nAnswer: -3, -6, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*u + 1384, -u - 3*o + o = 272. Round u to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933220852?\nAnswer: 2, 29, 16665697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4446 and 4454892.\nAnswer: 4454892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t + 36. Let p be v(-6). Let l be (22 - p)*1\/11. Sort -3\/7, -2\/7, l in descending order.\nAnswer: l, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 61*g**2 + 125*g + 385. What is j(-63)?\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*t + 0*t - 2*t)*(0*t - 4*t - t) - 9*t**2 + 30*t**2 - 4*t**2)*(1 + 1 - 4).\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 50*z + 19978 = 20048, 0 = 5*u + 3*z + 197 for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 + 3*b + 2. Let w be x(-1). Let t = 12 - w. What is the greatest common divisor of 42 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18 and -0.0097797338.\nAnswer: -18.0097797338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.4, 339, -11?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let f be 16\/24 + (-7)\/(-3). Let i(o) = -79*o + 4 - f + 80*o. What is -2*g(r) + 2*i(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 11:42 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*w + 59*w + 411956 = 2878656. Is 196 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1 - -1 - 7). Let d(p) = -p**2 + 10*p - 12. Let q be d(j). Solve q*f + 0 = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1)**(-2\/93)*h**(1\/5)*(h*h**(-6))\/h assuming h is positive.\nAnswer: h**(-2707\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-3)\/sqrt(4) + -2.\nAnswer: -3*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 - -98. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*k - 186 + 88 + 104 + k**2 + (-4*k - 3*k**2 + 4*k)*(1 + 0 + 0).\nAnswer: -2*k**2 - 20*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:05 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = -t, -14 = -2*m + 16596*t - 16604*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/27469 and -56\/259899.\nAnswer: 3378687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -0.75. Let o = h - -0.05. What is the smallest value in o, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -210*j + 13. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121377277 + 172177277. Suppose -k - z = -11*k. What is k rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**7\/n*n))\/(n**9\/n))**(35\/2)*(n*((n**(4\/3)\/n*n)\/n)\/n)\/n**3*(n**0\/n)**34 assuming n is positive.\nAnswer: n**(-950\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -72\/7 (b) 105 (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -1.1?\nAnswer: -12.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14, 0.45, 94, 0, -1\/7, 2\/5?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/10, -0.4, -158, -9 in decreasing order.\nAnswer: -3\/10, -0.4, -3, -9, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12899 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 232322615 and 4.\nAnswer: 232322619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 11:07 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -1 - (-31 + 46)) + -28.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((sqrt(1584) + 1 + sqrt(1584))*2 + 1)**2 + 3).\nAnswer: 576*sqrt(11) + 50714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4325.614m?\nAnswer: 4325614000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*r**2 + 2*r**2 - r**2)*(-5*r + 9 - 9) + r**3 - 4*r**3 + 0*r**3 in the form b + v*r + h*r**2 + c*r**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/7873 or 905?\nAnswer: 905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1249 divided by 44\nAnswer: -1249\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-3)\/6)\/(-1). Suppose 3*n + y*n - 99 = 0. Suppose 2*v - 5*v = 3*z - n, -1 = z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 28 + 36. What are the prime factors of (50\/g)\/((-10)\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/14 + (-3)\/7*-34. Let k be z*3\/(27\/3). Solve 0 = -b - 2*l - 2*l + 21, -3*b = k*l - 35 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 84313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 36022, 0.3, -2.2, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 13. Let h(q) = -9*q**3 + 21*q. Let s(w) = -4*w**3 + 3*w**3 + 145*w - 143*w. Give g*h(y) + 21*s(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1101 = -3*p, -r + 2*p = -2*p - 392. Let v be (-1)\/6 + r\/72. Solve 2*q = -0*q + v*n - 29, -5*n = 5*q - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of 5*r**2 + 0*r + 0 + 7\/60*r**5 + 1\/3*r**3 - 1\/4*r**4. Let k(g) = -13*g**2 + 11*g - 4. Calculate -11*j(t) - 6*k(t).\nAnswer: t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82 - 85 + 12*z - 73*z**3 - 263*z**3 wrt z.\nAnswer: -2016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469854603 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2626916 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223*l = x + 225*l - 5, 1 = -4*x - l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r + 1134 = -23*r + 18*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1143334 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1\/4, -5\/13, 721850 in decreasing order.\nAnswer: 721850, 1\/4, 1\/5, -5\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 4*a**2 - 249*a + 2081. What is d(8)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-17))\/n**0)\/(n**(-8)*n**(-3)*n*n) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*c - 11 = 0, -9*c + 4*c + 9 = -i. Let n be 6 + (1 - (-1 - -2)). Let g(d) = -1 - 3 + 88*d + n - 95*d. Let l(o) = -o. Determine i*l(b) + g(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from eeofennoe.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 59154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 38019.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(-8)\/50*(-260130)\/(-268203)*299?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -745\/7, 1\/6, -4\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2866*d - 2876*d - 1230*d**2 - 583*d**2 + (2*d + d - 2*d)*(d + 2*d - 5*d) as c*d**2 + w + u*d and give c.\nAnswer: -1815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-214 - (-69 + -67)) + 10?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141086079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-12)\/(2 - -2). Let s be (1 - v\/20)*25. Find the third derivative of -18*t**2 + 3*t**3 - s*t**3 - 3*t**3 wrt t.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/455*126\/(-8)*4\/18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 1640*j**2 + 3295*j - 1650.\nAnswer: -5*(j - 1)**2*(j + 330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*z - 36*z**6 + 84*z**6 - 44*z**6 + 126*z**2 + 15*z**4 wrt z?\nAnswer: 480*z**3 + 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -114593 - -60?\nAnswer: -114533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2*s**6\/15 + 29*s**3\/6 - 48*s. What is the second derivative of d(o) wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**2 - 7*w. Is 5 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/20 + c**4\/4 - c**3\/3 + c**2 + c. Let r be b(2). Let u = -999\/7 - -143. What is the nearest to u in r, 3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in 0.4, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-1)\/((-9)\/6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 811452 and 197220?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/3)\/((-12515)\/(-15018)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-8)\/1440*15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 5, 51, 0 in ascending order.\nAnswer: -6, -4, 0, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 8. Let t(b) = -4*b - b**3 + 5 - g*b**2 + 0*b - 1 + 3*b. What is the units digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 4*p + p)*(1 - 1 - 2*p) + (11 - 39 + 16)*(23*p + 2*p**2 - 23*p).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**3 - 3*p**2 + 5*p - 22. What is b(3)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -0*w + 4*w. Suppose -3*c = u - 52, 2*u + 84 = 4*u + 2*c. Suppose -6*s + 47 = -u. What is the remainder when w is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430836709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*u - 34678 = 329*u + 408*u - 133942 for u.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2 - 9*f - 13. Let o be g(-10). Round o to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132.6983 to 1 decimal place.\nAnswer: 132.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 5\/2*z**2 - 2\/3*z**3 + 3*z - 1\/4*z**4 + 1. Let d(f) = f**2 + f - 3. Let v be d(0). What is j(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.9 (b) 3 (c) -34 (d) -2164\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 45. Let x be d(18). Suppose 4*a + 4265 = x*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -6. Let v(g) = -g**3 + 5*g**2 + 6*g - 2. What is v(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 63 + 27. Is (14\/a)\/(((-3)\/(-158))\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87388673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5679 and 10933337.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*l**2*o**3 + 72*l**2*o**2 - 11*l**2 + 2*l*o**3 - l*o + 3*l - 11*o**3 wrt o?\nAnswer: 120*l**2 + 12*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.75101ug to tonnes.\nAnswer: 0.00000000006975101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d**3 - 135*d**2 - 157*d + 1586. Determine w(23).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(81\/6237 + 0\/(-2))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a**4 - 69258*a**2*f - 2*a + 3*f + 1139237 wrt a.\nAnswer: 264*a**2 - 138516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**2 - 33*v - 52. Let p(i) = -8*i**2 - 32*i - 53. Let o(m) = -3*b(m) + 2*p(m). Suppose o(k) = 0. Calculate k.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966613.4 millennia in centuries?\nAnswer: 9666134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 286*d + 560. What is the units digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*t - y - 75 = 0, -t + 2*y = 18. Let l be -290*((-2)\/24)\/(6\/t). Let v = -97 - l. Which is the closest to v? (a) 0 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*r = 13, -3*u + 3*r = 1 + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 54*z + 33 + 77. Put z, -78\/5, 0.11 in increasing order.\nAnswer: -78\/5, z, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.13? (a) -0.03 (b) -1\/7 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 110 = -10. Let g = 139 + v. Suppose -103 = -4*a + 49. Is a less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 7*v - 8. Let p be h(6). Let j be ((-4)\/1 + 2 + (-91)\/(-39))*3. Put p, 8, j in increasing order.\nAnswer: p, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 330087075 divided by 829\nAnswer: 398175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 51 = -5*b + 56, 4*h + 2*b = -22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4374344 millilitres in litres?\nAnswer: 0.0004374344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 257 - -116160?\nAnswer: 116427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.4, 7, -12\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {y: 1, d: 12, l: 6}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 31 = 4*z + 32, 3*n + 3*z - 27 = 0. Let s(c) = 484*c**3 - 12*c**2 + 22*c + 6. Let v be s(n). Round v to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 4*u**2 + 4. Determine i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 3. Let f(r) = 52*r + 10. Calculate f(d) - 4*g(d).\nAnswer: 56*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5670*z. Let m(w) = 36082*w. Determine p(m(f)).\nAnswer: 204584940*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - u + 16 = 4*q, 3*q + 3*u = 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4025 to 2 dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000062437 rounded to 7 dps?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -7. Put -5, p, -2\/9 in ascending order.\nAnswer: -5, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 7:31 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547091*b - 1943 = 547024*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 12*r**2 + 34. Let t(w) = w**3 - w**2 - 1. Let n(d) = -12*t(d) - z(d). Differentiate n(b) with respect to b.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1814374 + 1814373.99000033. Let k = l + 0.01. What is k rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p - 25 = 0. Let z = -4 - p. Suppose -7 = -2*g + g. Solve -4*o = -g - z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(0*k - 2*k + 3*k + 0*k + k + k + (-2 + 1 + 0)*(-k - 2*k + 4*k) - 2*k - 3*k + 9*k) - 2*k + k + 0*k.\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 28*l + 621 = 51*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399144301 to the power of 1\/2, to the nearest integer?\nAnswer: 48981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**2 + 56*h**2 - 148*h**2 + 6 + 61*h**2.\nAnswer: 21*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**2 - 358. Let k(b) = 11*b - 25 + 25. What is k(s(y))?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -2*m - 2*n, 5*n + 2 = -4*m. Suppose -10 = -2*i, m*i + 0*i - 10 = 5*j. Let c(g) = g**3 - g**2 - 58. Let o be c(j). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 5*h**2. Let x be (-583)\/(-13) - (-6)\/39. Let g = x - -16. What is the remainder when g is divided by l(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 485531 and -0.1?\nAnswer: -48553.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 3*b**2 + 5*b - 1. What is o(-5)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -72ea (base 15) to base 13\nAnswer: -b09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511844?\nAnswer: 2, 3, 17, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.033 + 21.033. Let p = 21.065 - f. What is p rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:56 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18028? (a) 4 (b) 0.1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26470*x - 47583.\nAnswer: 26470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - p = -19, 6*u - 7*u + 11 = 4*p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -32. Calculate the highest common factor of 95 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 10*d**2 - d - 3. Calculate j(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 113 - 123 = 0. Let m = k + 57. Is 1657 + m\/(-6)*0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 + 56 + (0 - -5 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 20, 31, 46, 65?\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 576000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**2 - 3. Let s = 211 - 211. Suppose -c - 2 = -4*j - 21, s = -2*c + 2*j + 20. Let h(g) = 3*g. Give c*v(q) + 3*h(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by 59593?\nAnswer: 89\/59593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -40 - (8 - (-1790)\/110)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23870 and -1.\nAnswer: -23871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:40 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281265 and 232733.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -4*i**3\/3 - 35*i**2\/2 + 18*i. Let o be f(-5). Suppose 0 = y + o*y - 78. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*f + 19, -3*f + 15 = -0*r + 3*r. Let t(d) = -r*d + 2*d - 4 - d. Let x be t(-3). Solve -4*a = -4*k + 12, 3*a + 9 = -k + x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h + 6. Suppose -2*w - 3*r = w + 24, -4*w + 2*r - 20 = 0. Let i be -8 - w*(-1)\/(-2). Give f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 - 12*f. Is q(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 14) to base 15\nAnswer: d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**3 - 9*i**3 - i**3 - 8*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3119580 and 17280?\nAnswer: 99826560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/72*(-3)\/(-28)*3\/30\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9402*r - 2. Let b be j(1). Round b to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25810 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 2*s**3 + 0*s)*(0 + 2 + 0)*(-27 + 4 + 11) to the form u*s + x*s**3 + y*s**2 + h and give x.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 34 - 38 = 0. List the prime factors of (328\/(-3))\/b*(64 - 43).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y**3 - 7*y**3 + 9*y - 12*y + 1 + 2*y. Let f be t(1). Suppose 13*v - f*v - 11920 = 0. What is v rounded to the nearest one hundred?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/882 and 25\/112.\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 96b0?\nAnswer: 96b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 48515 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p + 2*p + 200 = 9*p. Suppose -5*h = -0*h - 15. Suppose -s - 12 = -h*s. What is the smallest common multiple of p and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90 + n**2 - 13 + 11*n**2 + 13*n - 12*n**2 - 3738*n**3 wrt n?\nAnswer: -22428*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -294, -696, -1194, -1788, -2478, -3264, -4146?\n\"Answer: -48*w**2 - 258*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a factor of 324864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67250056.\nAnswer: 2, 127, 66191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 28, 38, 62, 106, 176, 278?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007693698.\nAnswer: 2, 433, 2318353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 10*k**2 + 10*k - 101. Let j be q(10). Let o(y) = -4*y + 7. Let b(l) = -1. Calculate j*o(c) - 5*b(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2709 + -478. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 829 = -150*u - 60*u + 306 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 0.4, 253?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -493*w - 256 - 436*w - 3*w**2 - 2*w**3 + 927*w in the form p*w + z*w**3 + a*w**2 + y and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 267475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/131 + 276\/917. What is the closest to 0.2 in -3, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 5570\/73?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(696\/360*1620\/(-360)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/3 - 10*o**3\/9 + 2062*o**2\/9 - 2726*o\/9 + 680\/9 = 0.\nAnswer: -20, 1\/3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*i + 39 = 0, 4*b + 11392*i - 21 = 11391*i for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + c**3 - 29775*c**2 - 13 + 21.\nAnswer: c**3 - 29775*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34462 divided by -74.\nAnswer: 17231\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = 26*i. Suppose i = -0*l - 2*l. Suppose -u + 568 = -l*u - 5*h, -5*h = 5*u - 2930. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 3*j, -20 = 7*p - 6*p - 4*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 3 + 3 - 3 - 5 + 6*k**2. Is s(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19580946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(112))\/((sqrt(220)\/sqrt(5))\/sqrt(11)) + -4.\nAnswer: -4 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, g: 3, p: 6, f: 1, o: 3}. What is prob of picking 1 g and 1 a?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/25)\/w*w*w**(-4\/7))\/(w**(-1\/2))**(-1\/8)*w**(1\/16)\/w**(-1\/8)*w**3*w*w**(-1\/2) assuming w is positive.\nAnswer: w**(4163\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 218398571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146155.7 + 146155.5. Let h = -0.03 - 0.13. Which is the nearest to n? (a) -1 (b) -2\/5 (c) h (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*4*-4)\/(3*(sqrt(4) + sqrt(40)\/(sqrt(160) + sqrt(10)))) + -3 + 2.\nAnswer: -160*sqrt(5)\/9 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 6 = -2*s, -12*s - 8 = -2*s + 28*p - 27*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4))**16*(j**(2\/5))**(-1\/23) assuming j is positive.\nAnswer: j**(-462\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15167.63 millilitres to litres.\nAnswer: 15.16763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 20 = -3*q - 2*o, -5*o = -5*q - 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 10*y - 5460. Let b = y + 1607. List the prime factors of b.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -36 + 9 + (3 - (3 - -10))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/5 + 42*f**3\/5 - 87*f**2\/5 - 528*f\/5 + 576\/5 = 0. What is f?\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -7 + 217\/77 + (-2 - -6). Which is the biggest value? (a) o (b) 0.5 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*t**3 + 89*t - 38040.\nAnswer: -75*t**2 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23834594 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149620175 to four dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3778*o = -3770*o + 7 + 10, -5*o + 5 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48945, -195878, -440763, -783600, -1224389, -1763130?\nAnswer: -2399823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.5 (c) 3 (d) -0.8291\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**5\/5 + 128*z**4\/3 + 506*z**3\/3 + 252*z**2 + 652*z. Suppose n(t) = 0. What is t?\nAnswer: -126, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8122*i**2 + 3087*i - 3?\nAnswer: -16244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 12. Let z be r(16). Solve -z*b - b = -25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -324, -320, -318, -318?\n\"Answer: -y**2 + 7*y - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -j**7\/147 + j**6\/35 + 9*j**5\/35 + 2*j**4\/21 - 8*j**3\/7 - 8*j - 26. Find z such that i(z) = 0.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/4 (c) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**2 + 11*p**2 + 13 + 13*p**2 + 1627*p**3 + 2.\nAnswer: 1627*p**3 - p**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + 2. Suppose -2*u + 3*d - 1 = -219, q*u - 218 = -2*d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 81*v - 722. Let j(y) = 113*y - 1083. Determine 5*j(m) - 7*n(m).\nAnswer: -2*m - 361","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**9\/151200 - b**8\/50400 + b**7\/6300 + b**5\/20 - 3*b**2. Let k(d) be the third derivative of a(d). Factor k(t).\nAnswer: -2*t*(t - 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 71*h**2 + 674*h - 150. Give t(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 32. What is the nearest to 0 in 4, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 7*v**2 + 6*v + 9. Determine i(7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.747 - 2.253. Which is the smallest value? (a) 2\/7 (b) 37.1 (c) o (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-1 - 1))*1. Suppose -7*k + 2*l = -q*k, 4*k - 14 = l. Calculate the remainder when 9 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 45. Determine u(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -5)*486\/(-72). Let z = 30 + m. Suppose -z*s = -b + 12, 0*b = -2*s - 3*b - 19. Put s, 8, 3 in descending order.\nAnswer: 8, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -6) + -4 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 3)*(3 - 2*u - 3 + (-3*u - 2*u + 3*u)*(-2 + 5 + 2)) + (-4 - 1 + 4)*(-5*u + 3*u - 4*u) to a + p*u and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 218*((-12)\/8)\/(12\/(-8)). Let q = r - 195. Solve 5*n = q - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t + 1. Let r(p) = -11*p + 2. Give -4*r(y) + 7*x(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792895 is divided by 203.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**2 - 10*a + 29. Let t be j(3). Solve -27 = -q - t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhjh when four letters picked without replacement from hfcchcjhhh.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 8987?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j - 8. Let t(u) = -4*u**2 - 4 - u**3 - 3*u + 2*u + 1 + j*u**2. What is t(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60651 (base 13) in base 16?\nAnswer: 2a19e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 7:14 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36926 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -32.4. Let j = -0.6 - w. Which is the nearest to -0.1? (a) j (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 173535.\nAnswer: 1\/57845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, -3, 0.3, 7 in descending order.\nAnswer: 7, 0.3, -3, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 301171 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 940757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:46 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 231 and 23639.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/12, -7, -2\/33?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -140*n - 756. Calculate the remainder when 504 is divided by j(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313.6526 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/42840 and -95\/34272.\nAnswer: 171360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**3 - 71*j**2 - 138*j + 764. Give p(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2814 + 5621 - 2807 - 2234*h)*(-2 - 3*h + 2) + 3 - 3 - h**2 + (-2*h - 1 + 1)*(h + 4*h - 6*h) to the form r + p*h + u*h**2 and give u.\nAnswer: 6703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-3)\/(-27)*-25. What is the nearest to 3 in -2\/13, -4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257015353.\nAnswer: 7, 2539, 14461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 148*k - 432. What is the smallest common multiple of 60 and m(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0463 + 2.6537. Put 5, 4, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 - 129. Suppose -r + 29 = 4*d, -2*r + u*d = 6*d - 13. Solve 0*v = -3*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 44*a + 21*a = 1218 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1179.5499 months?\nAnswer: 9.8295825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5 - 37 = 2*r, -r = 2*j - 20. Suppose -j*d + 4*d + 80 = 0. What is the smallest common multiple of (-65)\/(-26) + ((-5)\/(-2) - 3) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -31, -2707 in decreasing order.\nAnswer: 1, -2, -31, -2707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 15*a + 40. Calculate c(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1164*i**4 - 87*i**4 + 11*i**3 - 2150*i + 925*i**4 - 11*i**3 wrt i?\nAnswer: 24024*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 79265*x + 79251. Give l(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-53)\/1749)\/((14\/12)\/7). Put -1\/4, -1, i, 5 in increasing order.\nAnswer: -1, -1\/4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*n**3 + n**2 - n**3 + n**3 to l*n + u*n**2 + r*n**3 + t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6538\/3 + -2203. Let b be 9 + -11 + 7 + 16622\/84. Let m = -1594\/7 + b. Calculate the common denominator of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d - 1. Let b(n) = -7*n - 1. Suppose 326 = 31*i + 140. Give i*b(o) - 5*c(o).\nAnswer: -12*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -34. Suppose 268 = 4*p + 4*i, q = -3*i - 2. List the prime factors of p.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcccbcc. Give prob of picking 1 c and 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 13*f**2 + 7*f - 161. Let a be k(-11). Solve -a*c + 30 = -14*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lupcuzuccuzp. Give prob of picking 2 z and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooiooooooio. Give prob of picking 1 i and 2 o.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -14\/1355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 4787856*q + 1432722817296.\nAnswer: 4*(q - 598482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/9*498\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 1640 = -3*t. Let c = -227 + t. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23 smaller than 1525359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 19*n**4\/24 - 97*n**3\/6 + 5573*n**2. What is o(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x + 941673 = 1065247 + 2040233. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 9.1. Let w = -5 + l. Let m = 49521 + -49521.1. What is the biggest value in m, 3\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:35 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3413 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -373*j - 222*j - 62*j + (3 - 3 + 2*j)*(-1 + 2 + 1).\nAnswer: -653*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-846)\/(-376))\/(((-19)\/8 + 2)*-1). Solve -14 + 38 = d*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 47.05864 nanometers?\nAnswer: 0.00000000004705864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p + 30 = 0. Let t = p + -8. Let d(u) = -6*u - 2. Determine d(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 109.\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 358377 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 56, -19, 3, -5 in decreasing order.\nAnswer: 56, 3, -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 3 = 0. Suppose 0 = w - f, -5*f + 1 = -4*w - s. Suppose 0*o - 4 = -o. Solve 0*h = w*h - 5*g - 20, 0 = -2*g - o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13034 and -0.61.\nAnswer: 7950.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 588667\/455 + -9052\/7. Find the common denominator of ((-3)\/39)\/(10\/7) and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(162))**2 + -3.\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -540, -810, -1080?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-3 + 3 - o) + (2 + 0 + 3)*(-o + 3*o - 3*o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -0.5, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 270, 368, 490, 648, 854?\nAnswer: 1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-10))\/(768\/2880).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v = 15. Let f(j) = -5*j**3 + 4*j**2 - 5*j + 5. Let z be f(3). Let u = z + 102. Put 2, v, u in increasing order.\nAnswer: u, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10005\/7 - 10144475\/7098. Find the common denominator of w and -23\/4.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5))**(1\/30)*(d**(-1\/2))**6 assuming d is positive.\nAnswer: d**(-226\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4028 to 2 decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*k, -v - 4*k + 0*k - 10 = 0. Suppose -l + v*o + 2*o - 11 = 0, 0 = 2*o - 4. Let s = 3.9873 - -0.0127. Sort s, 2\/3, l in ascending order.\nAnswer: l, 2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/15 - 8*n**4\/3 - 110*n**3\/3 - 51*n**2. Factor h(k).\nAnswer: -4*(k + 5)*(k + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-30) + 0*(-10)\/60)*6. Solve v = -3*g + 5*g + i, 27 = -2*g - 5*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 39. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((2 - 3) + -4 + -13)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/308893919 or -1?\nAnswer: -3\/308893919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 + (-23 - -1 - -7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*j + 667*j + 12004*j**2.\nAnswer: 12004*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/3)\/((-5)\/(-40)). Let c(d) = -p*d + 11*d + 0*d + d**2. What are the prime factors of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 137*j**2 - 14*j + 13. Calculate the remainder when z(1) is divided by 36.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 5, 0, 3.6, 495?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 306\/35?\nAnswer: 306\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11881868?\nAnswer: 2, 2970467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/10 + (-1)\/((-15)\/51). Let r = -2.3 + 2.24. Sort 2\/9, q, r.\nAnswer: r, 2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k - 43. Let g be v(11). Let b(f) = -2*f**2 - 23*f + 14. Does 25 divide b(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.21? (a) 9 (b) 0.1566 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620 - 620 + 21*v + 301*v to q + g*v and give g.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-3)\/906). Let d = g - -1218. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*2\/8*-2. Suppose 3 = -p*m + 4*m. Suppose -4*w = -m*u - 734, -5*w + 10*w - 915 = 5*u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*y - 13*y. Let z be 12\/(-30) + (-3006)\/y. Suppose -3*t = 4*s - 8*t - z, 0 = -2*t + 8. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120128 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 476?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2110111201 (base 4) to base 12\nAnswer: -253741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2*l - 2*l**2 + (-2*l - 4 + 4)*(-l + 4*l + 0*l))*(1 - 5 + 3) to c*l**2 + i*l + b and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.76 + -11. Let a = -0.7599969 + z. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3648127\/32500 - 1\/16250. Let i = 656861\/5100 - 303\/425. Let s = j - i. Calculate the common denominator of -57\/16 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/((-2)\/18). Let c = m - 13\/4. Let o = -2569 + 30713\/12. Find the common denominator of c and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1456, 5283, 11638, 20515, 31908, 45811, 62218, 81123?\n\"Answer: -t**3 + 1270*t**2 + 24*t + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6574656 and 231.\nAnswer: 46022592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1374627 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 75*p + 45. What is the units digit of q(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 21, -2\/7, 0.3, 133905, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:30 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-21)\/(-12) + 0. Suppose -2*h = 4*k - 12, -5*h - 6 + 23 = -3*k. Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d**3 + 31*d**3 - 16*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 220319\nAnswer: -9\/220319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*p + 58 = -3*p, -5*n - p = -54. Suppose 12*o - 9*o = -24. What is the remainder when n is divided by 1 + -3 - (o - (-7 + 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*748\/190960 - (-2)\/(-20)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -490 + 486. Put q, -3, 0, 2 in increasing order.\nAnswer: q, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3*v - 2, 5*v - 6 = -3*w + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 2. Suppose 6*n - 2*n + 3*a - 17 = 0, 2*n = -a + 7. Suppose s - 3 = 3*j - 2*s, s + n = 2*j. What is d(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 177084\nAnswer: -13\/88542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 + (3 - 555). Let v be (-4)\/(-18) + k\/(-18). Solve 4*f + 5*w = v, -5*f + 34 = 2*w + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -31\/663?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41614 and -0.2?\nAnswer: -8322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 = 0, -2*w = 3*h - 42 + 109. Which is bigger: h or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419845 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3)\/u))\/u)\/(((u*u**4\/u)\/u)\/u)*(u\/(u**(1\/2)*u))\/(u**(2\/9)*u) assuming u is positive.\nAnswer: u**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 854 - 854. What is the nearest to 1 in u, 0.1, -0.2, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(500)*-1)**2 + -2 + -1 + sqrt(25)\/sqrt(5) + sqrt(5) + -4 + sqrt(5)*1).\nAnswer: -493 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32128 and 80320.\nAnswer: 160640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 813*n**2 + 535*n**2 - 119*n + 119*n in the form a*n + x*n**2 + o and give x.\nAnswer: 1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 2*a**2 + 28*a + 10. Let h be s(-7). Let r = 265 - h. What is the lowest common multiple of r and 364?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45999981 + 0.46. What is h rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 2, w: 1, l: 5, h: 3, r: 6}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129720 - 43201. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(68) - sqrt(68))**2 - ((sqrt(68) + -2)**2 + 0).\nAnswer: 40*sqrt(17) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let z = -42 - -37. Let v be 5\/z - (-1 - 0). Suppose -m - 2 + 3 = v. Give f(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 419 + 407 = 0. Calculate the smallest common multiple of 48 and (-576)\/27*(-9)\/x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2446, 25 in decreasing order.\nAnswer: 2446, 25, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -77*p**6\/24 - 59*p**3\/2 - 325*p**2. Find the first derivative of x(w) wrt w.\nAnswer: -1155*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110323003 (base 4) to base 8\nAnswer: -247303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 h when four letters picked without replacement from uudoydsuyhddhys.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.926 + 1.074. Let z = 0.08 - -2.92. Let l = z - 3. Which is the closest to 1? (a) m (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42674.9 + -42671. Let q = 0.1 + -0.1. Which is the biggest value? (a) t (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3130 and -69\/4244906.\nAnswer: 21224530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a hour?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.84 - 7. Let t = 3.84 - o. Let f = 3 - 3.3. Which is the closest to 0? (a) -2 (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -3\/5, -23333\/2?\nAnswer: -23333\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.93 + 0.07. Let o = m - 6. Let r = 0.4 + -0.4. Which is the smallest value? (a) 1\/5 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28228050 divided by 894?\nAnswer: -31575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 122849458691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -27*y + 28*y + o, 0 = -o - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 36\/(-27)*(4 + -1). Let y(j) = -2*j - 2. Let c be y(r). Is 0 + 266 + c\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65012040 and 65012040.\nAnswer: 65012040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 11*l**3\/2 - 7*l**2\/2 - 275*l + 1. Let k(d) = d. Calculate k(a(c)).\nAnswer: 33*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 less than 14052?\nAnswer: 14026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/33 and 3\/15644?\nAnswer: 516252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -24*a - 18. Suppose -3*j + 0 = -2*o + 8, -o + 14 = -4*j. Calculate the lowest common multiple of f(j) and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1000130, 1000132, 1000134, 1000136?\n\"Answer: 2*i + 1000128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 198 - 38 = 0. Let c be (4 - (0 + 556\/(-16)))*m. What is c rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*u = -138*u. Suppose 11*d - 275 = -u*d. Calculate the remainder when 49 is divided by d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a26 (base 11) to base 9.\nAnswer: -5313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*v = 929 - 6840 - 7418 - 4379 for v.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126329511 + -5?\nAnswer: 1126329506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmzzzmzzmzzzzzzzzzzz. Give prob of picking 2 z.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -15*g**3 + 2*g**2 + 3*g + 5. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x - 10 + 64*x**3 + 19 - 9.\nAnswer: 64*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 49440711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.39 + -0.01. Which is the nearest to -1\/4? (a) 1 (b) -1\/9 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = -k, 5*k - 51 + 16 = -3*y. Suppose -k*o - 190 = -57. Let r = -79\/4 - o. Sort r, 0.3, -0.4, -2.\nAnswer: -2, r, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 17*f**2 + 35*f + 16. Is m(12) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:32 AM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let p(b) = -b**3 + 7*b**2 - 6*b + 1. Let q be p(6). Let z be 24\/(-4)*(-2)\/12. Let y(r) = 0*r - z + 3*r + q. Determine y(i(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-50)*(-1)\/(-2)*1\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1724*g - 4779*g + 1406*g as n*g + s and give n.\nAnswer: -1649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p\/p**(-1\/2))\/p)*p**(-3)*(p*p**(-3))\/(p\/(p\/p**(-1\/7))))**46 assuming p is positive.\nAnswer: p**(-1081\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-184164 + -1*2)*(-1383)\/922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22257970 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.0662 times 6\nAnswer: -12.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4925?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 1095?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*a**2*j*k**2*y + 11*a**2*j*k + 2*a**2*k**2 - a**2*y + 45*a*j*k + 15*j*y wrt y?\nAnswer: -57*a**2*j*k**2 - a**2 + 15*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*n**2 - 9*n**3 - 175*n - 2 + 166*n - 6*n**2 - 2*n**4.\nAnswer: -(n + 1)**2*(n + 2)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 12:03 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w**2 + 605*w - 120 = 0.\nAnswer: 1\/5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -14. Suppose -2*c = -x*c + 3. Let v(i) = -6133334*i + 2. Let l be v(c). What is l 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 third root of 43857499 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z + 2. Let a(i) = 8*i - 6. Let v(u) = 4*a(u) + 11*g(u). Let s be v(-5). Suppose 3*p - 9 = -0*p. Calculate the greatest common factor of p and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -9, -5 in ascending order.\nAnswer: -9, -5, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.223 + 5.663. Let m = -4 - -3.9. Is m at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2 - 10. Let z(u) = 6*u**n - 8*u**2 + 8*u**2. Let j(h) = -2*h**2. Calculate z(j(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 + 4 = 0. What is the common denominator of b + (-3 - 54\/(-7)) and -47\/31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/67975621 or 0?\nAnswer: 2\/67975621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/3, -0.01, 0.3, -0.2 in decreasing order.\nAnswer: 1\/3, 0.3, -0.01, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1294788493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - -6 - (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (152\/48)\/1 - (-10)\/(-6). Let l = -0.1 - 7.9. Let b = l - -7.4. Put i, b, 5\/6 in ascending order.\nAnswer: b, 5\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.18. Let n = i - -14.62. Let m = 15.00000017 - n. What is m rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 307*t**2 + 45*t + 113 - 3011*t**2 - 44*t + 250 wrt t.\nAnswer: -5408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5092, -10191, -15288, -20383, -25476?\nAnswer: -30567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1731\/8 - 216. Put d, -4, 0.5 in descending order.\nAnswer: 0.5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {u: 4, p: 2, m: 5, e: 4, x: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.7182418593 and 2.7?\nAnswer: 1.9817581407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23240413 - -20002?\nAnswer: -23220411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(-2\/3))\/(f\/((f*f**0)\/f*f)))\/(f*f**(1\/2)*f*f*((f\/f**(3\/2))\/f)\/f*f))**(-37) assuming f is positive.\nAnswer: f**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*x + 495 + 30 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1104*c + 1117*c + 39 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 9*k - 399. Determine m(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h**4 + 995*h**3 + 135*h**2 - 995*h - 165 = 0 for h.\nAnswer: -33, -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-216)*42*24\/4*-1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:28 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10185 is divided by 329?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/4664 and -103\/2332?\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 729304632 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.067 - 0.177. Let h = f - -0.21. Let d = -10 - -12. What is the closest to h in d, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 6*x**2 + 16*x - 2. Let t be k(-8). Let m be ((-13)\/t)\/(4\/40). Calculate the highest common factor of 26 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5412 by -451.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 781357 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9872 - 19743\/2. Which is the nearest to 0.007? (a) 0.3 (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17*w + 1. Let j be y(-2). Suppose 5*h = l - j, 123 = 5*l + 2*h - h. Is 10 a factor of l*((-4)\/5)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 30 + 10 = -3*s, 0 = 5*s - 2*n + 72. Let c be (20\/(-7))\/(4\/s). Solve x = -x + 2*m + c, 4*m = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/(-1050)*(-876)\/20 and -117\/14.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:10 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**3)**(-1) assuming u is positive.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*((c**0*c)\/c)\/c*c))**(3\/28)*(c\/((c\/c**(-2\/9)*c*c*c*c*c)\/c))**(2\/13))\/((c**2)**31)**10 assuming c is positive.\nAnswer: c**(-2033599\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and -14 + (-2 + 8)*3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*s - 6*s + 0*s)*(s**3 - s + s) + s**4 + 2*s**4 - 4*s**4)*(s - 4*s + s) - s**3 + s**3 + 2*s**5.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -10*x - 5. Let b be f(0). Let m be (14\/(-35))\/(b\/25) - -1. Solve -12 + 0 = m*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 163890 - 163899. Let q = -1 + 3. Let a = q - 2.5. What is the smallest value in 3, r, a, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3448 or 58626\/17?\nAnswer: 58626\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 217207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + y = 14*x - 30, 2*x = -13*y - 55 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3071640 and -31\/6143280.\nAnswer: 6143280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -14*b - 5. Give n(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/81 + (-40)\/(-18). Suppose p - x*p + 9 = -3*n, 0 = 2*n + 6. Solve -5*l = 3*w, p = l + 5*w - 6*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/6 + (-4 - -4 - 2). Let n(f) be the second derivative of 2*f + 0*f**2 + 0 + p*f**3. Let a(w) = -w. Calculate a(n(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 4351165?\nAnswer: -4351163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156850 and 100?\nAnswer: 313700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + w + 3*w - 6*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 30 = -0*r. Let n(g) = -g**3 - 7*g**2 - 6*g + 4. Let m be n(-6). Calculate the highest common divisor of r and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 401600 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 2\/5705, 0.5 in descending order.\nAnswer: 0.5, 0.1, 2\/5705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1598\/1617 + 145\/231. Calculate the common denominator of ((-2)\/21)\/(6\/406) and k.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -18\/17*x - 2\/17*x**2 + 20\/17 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23674808*w**3 + 2269371 with respect to w.\nAnswer: 71024424*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - 2.97. Let v be 56\/(-147) + (-6)\/(-9). What is the third smallest value in v, -1, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 6, -0.13, -248\/5, -2\/17 in descending order.\nAnswer: 63, 6, -2\/17, -0.13, -248\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 414\/324*4\/(-46)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -495 and -6446\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**5 - 7 - 10\/3*q**3 + 5*q**4 - 5\/6*q**6 - 15\/2*q**2 + 10*q. Factor b(a).\nAnswer: -5*(a - 1)**3*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-1.273817.\nAnswer: 0.5095268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((2\/(-2))\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-80))\/(3\/2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/(-18))\/((-9)\/(-78)). Let a(n) = -14*n - 4 + 18 + 33*n**3 - 12*n**2 - 32*n**3. Determine a(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.4392 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b + 2*b + 2*b**2 + 1. Let v be c(-1). Suppose 0 = -v*o + 4*o - 33. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/21*(930\/(-75) + 13).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.12572 years in months?\nAnswer: 781.50864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c\/((c*c**(-2)\/c*c)\/c))\/c)\/c)\/((c\/c**(1\/5))\/c))\/(c**1)**(-1\/9) assuming c is positive.\nAnswer: c**(104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 122*x**2 + 1883*x - 1140. Calculate h(104).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**3\/3 - 21*k**2\/2 + 101*k + 192. What is the units digit of b(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 76, -5, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 25 = -5. Let n = a + -1. Let i be (-34)\/(-6) - n\/(-30). Are i and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 6:57 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*w = -401410 + 3663786. What is the thousands digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054463 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 11) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 4*s + 23. Let d be 2\/4 + ((-210)\/(-4))\/(-15). Let p be k(d). Let v(y) = -y**3 + 2*y**2 + 2*y - 2. Give v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 2)*(45*b**2 + 26*b**2 - 7*b**2).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*f - 226, -t + 3*f = -37 - 3. Let s = 49 - t. Calculate the greatest common factor of 21 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**1*o)*o)**(-42))**(-15)\/((o**1)**(-40)\/(o*o**1*o**2\/o*o)) assuming o is positive.\nAnswer: o**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z. Let x(c) = 4*c. Calculate x(p(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (124\/28 - 5)\/(4\/(-14)). Solve 1 = -p*x - 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -239*l - l**2 + 1 + 469*l - 238*l. Let n(v) = -v**2 - v. Let g be n(-3). Let b be o(g). Solve -4*k + k - 5*m = 0, 5*k + b = -4*m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13, -33, -55, -79, -105, -133?\n\"Answer: -j**2 - 17*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 15*s**2 + 11*s + 1. Suppose 4*x = 4*t + 68, 0 = 3*t + 4*x - 8*x + 51. What is the tens digit of z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from dddiiiiiidiiiidi?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 45 + 51 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -1 - (-2 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -263.55 + 379.298. Let p = x + -116. What is p rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 + -92. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 4*h + h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.1 (b) 3 (c) 0 (d) 23469\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f. Let v(c) be the first derivative of 3*c**2 - c - 3. Let k(o) = -3*m(o) - 2*v(o). What is the first derivative of k(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (-1 + sqrt(500))*-3 + 0)**2 + 4.\nAnswer: 360*sqrt(5) + 27010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/4*(-6 - -5)\/(10\/(-8)). Put -3, j, 13, 31 in decreasing order.\nAnswer: 31, 13, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b. Let u = -36 - -36.132. Let j = u - -0.368. What is the second smallest value in b, j, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -37*n**2. Let b(r) = -36*r**2. Let f be 8\/(-6) + (-143 + 130 - 37\/(-3)). Calculate f*b(x) + 3*z(x).\nAnswer: -39*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*s + 17*s + 11243 = -62*s - 1689 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.62782286 rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1353473, 1353472, 1353471, 1353470?\nAnswer: 1353469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:25 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - -2. Suppose -3*t - 1 = -q. Suppose 15 = 2*b - 15. Solve 4*m = -f, -3*m - f + b = -t*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 - 4*f. Let d be p(5). Let m(z) = 11*z + 673. Let v be m(-61). Solve -w = v*l - d*l - 5, -l - 25 = -5*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5273 is divided by 66.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 5) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -22 (b) -3 (c) -852235\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 192, 245, 346, 507?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*u**3 + 12*m**3 + 2*m**2*u**3 + 5*m**2 - 5*m*u**3 wrt m.\nAnswer: 6*u**3 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 13 = 3*b - 5*r, -4 = b - r. Let p be b - (3 - -1 - 10). Let a be 120\/54 + (-4)\/p. Is 0 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 + -1298?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:52 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 54836.\nAnswer: 5\/54836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + t)*(-3 - 8 + 0) to v + y*t and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b**2*j**3 - 5*b**2 - 911*b - 32*j**3 - 5*j - 2 wrt j?\nAnswer: -24*b**2*j**2 - 96*j**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzzpwpwzwwc. Give prob of picking 1 w, 1 p, and 1 z.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*j**3*v**3*y - j**3*v*y + 2*j**2*v**2 - v**3*y + 4*v**3 - 2*v**2 + 69*v*y wrt v.\nAnswer: -78*j**3*y - 6*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23562559?\nAnswer: 23562559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(59*b**2 + 59*b**2 - 116*b**2 + 17 - b).\nAnswer: -4*b**2 + 2*b - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*q = -10, 4*n + 3*q + 4191 = 4183 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*s - 11466 + 1786. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1751694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.4 - 3. Let o = -2837 - -6637. Let w be (-15)\/6*5*32\/o. What is the second biggest value in -2, w, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 12. Let w be z(0). Let m be ((-8)\/w)\/((-2)\/3). Let d = m - -1. Solve 4*n = -0*r - 3*r + 8, -d*n + 2 = 2*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9373 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/120 - 7*t**5\/60 - t**4\/4 + t**3\/2 + 3*t**2 + 6. Suppose -4*r - 21 - 3 = 0. Give u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 461.7 and -11.\nAnswer: 450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kswwksww. Give prob of picking 2 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2194000 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 308 in descending order.\nAnswer: 308, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5. Let u(s) = s - 7. Give 6*q(w) + 5*u(w).\nAnswer: 5*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159751863 + 1263999074299673\/7912265. Let u = -2098293115707\/348139660 + g. Let x = 6026 + u. What is the common denominator of 65\/9 and x?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -175\/3803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 15 - (-3 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -75*(-8)\/(-168) + 10\/2. Which is greater: -18\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 79*u**2 + 3. Let a(l) = -l**3 - 41*l**2 - 421*l - 59. Let s be a(-22). Let d(q) = -157*q**2 - 7. Calculate s*h(z) + 3*d(z).\nAnswer: 82*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2185532392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(320)*4).\nAnswer: sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-17 - (-16 - -17)) + (0 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1811 = -4*d, 5*n + 3005 = 4*d - 0*d. Let r = 1007 + n. Is (2\/(-2) - 2 - -2) + r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183 and 6071025?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 356.6082ml to litres.\nAnswer: 0.3566082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 1.1. Let r be (-14)\/8*(-30)\/266. Let o = r + 1\/19. Put o, -1\/5, s in descending order.\nAnswer: o, s, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8601 = -2047*t - 2852 + 3265 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**7\/1260 - t**6\/360 - 15*t**2\/2 - 33*t. Let d(v) be the first derivative of q(v). Factor d(o).\nAnswer: -o**3*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3178 and 118948?\nAnswer: 832636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.47354 - -0.4?\nAnswer: -5.07354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 12:32 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 30 = 0, -3*r - 2*u - 1523910 = -1523911 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 126 = -3*f, i - 40 = 2*f - 7*f. Solve 15*j + i = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o + 5. Give n(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and -0.1.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 772 + 13524203?\nAnswer: 13525175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 - 138. Let q(b) = b + 4. Let h be q(0). Let x(u) = -17*u + h + 14*u - 1 - 4. What is x(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {m: 2, e: 2, u: 2, o: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 2560 = 16569. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 - 75*z + 270.\nAnswer: 5*(z - 9)*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11 - 179*n - 178*n + 356*n. Give q(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.67 - 0.33. Let d = s - -18.0000064. Round d to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -992 by 248.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -172, -483, -1024, -1873, -3108, -4807, -7048?\nAnswer: -9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398 + 1668 = 2*k. Let c be (-4)\/6 - k\/3. Let i = c - -568. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2648734737 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 925 - 518. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v + 2*v)*(6 + 0 - 3) to s + c*v and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from ttgooogtttttgtoo.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 31*x**2 + 3*x + 10. Let j be i(-3). Calculate the greatest common divisor of j and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*x = 5*k + 3, -4*x + 22 = 5*k. List the prime factors of (k\/6)\/((-7)\/(-903)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -112*u**2 + 420*u + 125. Give f(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3668891 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2033 - -20347\/10. Suppose 0 = -4*z + d + 595, -4*z + d = 3*d - 610. What is the common denominator of j and 2\/(-8) + z\/(-88)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.883373 to 1 decimal place.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b - 2 - b + 5 - 5*b.\nAnswer: -13*b + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036*n**3\/5 - 4024*n**2\/5 + 2628*n\/5 + 72 = 0. Calculate n.\nAnswer: -30\/259, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 652540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c + 1. Let a(o) = o**2 - 12*o + 15. Let k be (-9)\/(-15) - (-52)\/5. Let h be a(k). Let i(u) = 6*u - 3. What is h*i(f) + 11*l(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76577*k*n**3*p + 2*k*n**2*p + k + 396*n**4*p + 2*n**2*p + 389283*n + p wrt n?\nAnswer: -459462*k*p + 9504*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + n - 25, v - 3 + 2 = 5*n. Let k(o) = 8*o**3 - 6*o**2. Let t(y) = -y**3 + y**2. Suppose 2 + 0 = 2*f. Calculate f*k(l) + v*t(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68040 (base 10) in base 3?\nAnswer: 10110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2. Let g = -8 - -13. Let j be (-2)\/5 - (-12)\/g. Let v(x) = x - x - 3*x**j. Give d(v(h)).\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-4\/7))\/g)\/(g\/(g**(-1\/6)*g))*((g\/g**(-2\/7))\/g)**(1\/11))\/(((g**(3\/7)\/g*g)\/g*g**(2\/9)*g)\/(g**0*g)**6) assuming g is positive.\nAnswer: g**(8011\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-9)*(-9)\/12. Let d = -76 + 49. Let r be ((-9)\/d)\/(4\/18). What is the closest to s in 3\/7, r, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 14 - 30)*(-1 - 3*g + g + 0) in the form f + z*g and give z.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 + 89. Let y = u + 141. Let s = 156 + y. List the prime factors of s.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k + 1. Let a(g) = -2*g**2 - 4*g + 4. Suppose 65 = 3*r + 2*r. Let z = 17 - r. Calculate z*l(t) - a(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-56)\/20)\/7)\/(2\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9256937 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -780, -2216, -4604, -7938, -12212, -17420, -23556?\n\"Answer: c**3 - 482*c**2 + 3*c - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 915 divided by 183\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 3*a + 8. Let p be t(6). Let w be (-8)\/10*25\/p. Suppose 0 = 2*x - w, 85 - 17 = 3*k - 4*x. Calculate the highest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-3))\/(240\/(-96))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10890)\/(-1485)*18\/11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 345 = 14*c + 64*c. Factor 0 + 0*h + 3\/5*h**c - 21\/5*h**4 + 0*h**2 + 0*h**3.\nAnswer: 3*h**4*(h - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157+-3.8691\nAnswer: 153.1309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2\/3 (b) -0.3 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 1 = -14*o + 13*o + 33, b - 82 = -3*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*sqrt(162)*-6 - (sqrt(162) - ((0 + sqrt(162))**2 + -5 - sqrt(162)))*-6.\nAnswer: -942 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 696*o - 663*o - 630135 = 0. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (-3)\/(-2)*(-6)\/8*-8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 2316794.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1418\/39 + -69\/13. Let p = 42 + m. Let v = -0.044 - -0.244. Which is the closest to v? (a) p (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -82, -163, -244, -325?\n\"Answer: -81*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = -q + 10, -5*p + 1041 = 5*q + 1091 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1319197, 1319187, 1319177, 1319167?\n\"Answer: -10*t + 1319207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 - 4) - (18 - (-15 + 15)) - -152\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 475745 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**2\/17 + 1932062*w\/17 - 644020\/17 = 0. What is w?\nAnswer: 1\/3, 322010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 8827357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10562, -10585, -10608?\n\"Answer: -23*i - 10539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 103287862 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 b, and 1 z when three letters picked without replacement from sbzzbzzbzsszzbszbpbb?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 0 - 2\/15*j**7 + 0*j**6 + 0*j**3 - 13*j**2 + 0*j**4 - 2\/15*j**5 + 0*j. What is the third derivative of u(a) wrt a?\nAnswer: -672*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/((-2)\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6663 - 6?\nAnswer: -6669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*b + 49*b - 11*b**2 - 144*b + 778*b**4 + 85*b - 2*b**3 wrt b.\nAnswer: 18672*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*3\/(-15)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 28*z**2 - 192*z + 27. Calculate j(-15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 940 - 930. What is the highest common factor of s and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/397555 and 68\/465?\nAnswer: 36972615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -3 + -4 + 0 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Suppose v - 20 = -3*v, 0 = t*x + 2*v - 52. Differentiate -9*w**4 - w**4 + 14 - x with respect to w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgdtdttggg. Give prob of picking 1 g, 1 d, and 2 t.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 - 29.7. Let m be 288\/27 - 80\/8. Let y = -0.2 - -0.26. What is the nearest to 1\/4 in m, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 25 = 5*s - 9*f, 10 = 2*s + f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*t + 46*t + 279*t + (7*t - 2*t - 3*t)*(2 + 4 - 5).\nAnswer: 346*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 381483078*f**4 + 270863253.\nAnswer: 1525932312*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 i when three letters picked without replacement from {n: 4, x: 4, y: 1, i: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 9*t**2 + 10*t**2. Let p(z) = -51*z - 10. Let s(v) = 21*v + 4. Let d(l) = 2*p(l) + 5*s(l). Determine d(a(j)).\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -24, -27, -30?\n\"Answer: -3*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*g**3 - g**2 - 217*g wrt g?\nAnswer: 762*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 319087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 211*w**3 - 30*w**2 + 3.\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -11 - ((4 - (17 - -11)) + 11). Let q = -10 + 10. Solve q = d - 5, w*y - 3*y - 2*d = -11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -113222?\nAnswer: 113226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + c - 9 = 0, -4*j = 5*c + 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 163636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 183 + 177. Does 18 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -225?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and ((-1 - -1) + 83)\/((-103)\/(-309))?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192\/721 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + 2*b + 4. Calculate v(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.69 + -4.69. Is l at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 231 - 2?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 418295*a*h**3 - 237*a*h**2 - 726688442*a with respect to h.\nAnswer: 1254885*a*h**2 - 474*a*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4*n**3 + 3 - 5*n**3.\nAnswer: -9*n**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**4\/24 + 2*u**2. Let p(c) = 9*c**2. Let x(j) = -44*j**2 + 885 - 885. Let t(b) = -11*p(b) - 2*x(b). What is h(t(z))?\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 759 - 23527\/31. Is -2 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.46 + -11.46. Let y = 7.999934 + z. What is y rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21410 divided by 7?\nAnswer: -21410\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18606457.200071 + -18606468. Let j = -10.876 + 0.076. Let i = z - j. Round i to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 53*h + 147. Which is the nearest to -1? (a) h (b) -0.2 (c) 3\/7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.66 + 11.76. Which is the nearest to -2? (a) 1\/4 (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4596297854?\nAnswer: 2, 17, 135185231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9 - 3.8. Let j = r + 2. Let c = j - -0.3. Sort -4, -3, c in descending order.\nAnswer: c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nny when three letters picked without replacement from {y: 2, n: 2, e: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 24*b**2 + 2*b + 1. Give r(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -11, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1616 and 2168066.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 15*i**2 + 83 + 0 - 8.\nAnswer: -15*i**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u**2 + 2*u**2 + 0*u**2)*(22 - 64 - 26).\nAnswer: -1224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 1 = 4*l + 6, 5*l + 4*g = 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-15)*6\/(-1)*147\/(-84).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.931 - 0.109. Let t = z - -0.04. Which is the third smallest value? (a) t (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/7 - 2543144*d**3\/7 - 808452761864*d**2\/7 - 3233780529792*d\/7 - 3233770357248\/7 = 0.\nAnswer: -635784, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times -353?\nAnswer: -1023.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 49 = 2*w + 3*u, 3*w = 2*u + 91. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -106 - 2001733?\nAnswer: -2002041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-10)*u))\/((u\/u**(-4\/9))\/u)*(u**(-1\/5))**(6\/17) assuming u is positive.\nAnswer: u**(7256\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + 1dc9?\nAnswer: 1dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5655522 (base 10) to base 13\nAnswer: 1230282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 16*a**2 - 16*a - 6. Let j be 133\/(-9) - (-30)\/(-135). Let d be h(j). Suppose -3*k = 15, 0*y + y - d = 2*k. Sort 2\/5, y, 0.3.\nAnswer: y, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 172*a + 58*a + 53*a + 8*a**2 + 62*a as g + t*a + m*a**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1036 = -2*v, 0 = -5*a - v + 779 + 502. Let b be (9\/27)\/((-2)\/(-24)) - 4. Suppose b*u = 3*l - u - 198, -u = 4*l - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 4. Let m be l(3). Let a = m + 2. Let v be a + (-2)\/18*11. Is -0.1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 5066897350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 27844340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13104 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 39, 41?\n\"Answer: 2*a + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -552 - 7567*c**5 + 14230*c**2 - 14234*c**2 - 109*c + 109*c wrt c?\nAnswer: -454020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - i = -m + 1, 0 = 4*m - 3*i - 3. Let t be (m - (-9)\/6)\/3*14. What is the highest common factor of t and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -13*z**2 - 25*z + 94. Calculate r(4).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(8\/(-3)) - (13 + 864\/(-84)). Solve 0 + 8\/7*f**3 + 4\/7*f - 10\/7*f**2 - s*f**4 = 0 for f.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -970678 (c) 15\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (6\/(-2))\/(3859\/(-272) - -14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -1. Let a be (-6)\/((-1)\/2 - 1). Suppose 16*f - h*f = a. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*r + 9*r. Let b(l) be the first derivative of 0*l**2 - 3\/5*l**5 - 3\/2*l**r - l**3 + 0*l + 2. Let b(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -154 - 1835. Suppose -5*o - q = -14*o. Solve 4*k = g + o, 3*g = -0*g - 5*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1 - 3 - c + 3. Let t(z) = z**2 + 2*z. Let g(b) = -3*b**2 + 6*b - 8. Let n(a) = -g(a) - t(a). Give -n(x) + 6*s(x).\nAnswer: -2*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i - 23. Let p(f) = -4*f**3 + 169*f**2 - 44*f + 84. Let v be p(42). Give q(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 68. Solve -9*k - m - 13 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3*w - 6*l**2*w - 1981960*l**2 + 3078600*l*w + l - 4*w + 1 wrt l?\nAnswer: -18*l*w - 12*w - 3963920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/2))\/((z**8\/z)\/z)*(z\/(z*z**(1\/3)*z*z))**(-17))**(-3\/16) assuming z is positive.\nAnswer: z**(-217\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from {i: 8, h: 1, v: 2, g: 2, f: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*t - 12 = 0, -3*n - 3*t = 2*t - 15. Let s = -85 - -86. Which is smaller: n or s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 5 (c) -1\/2 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - p)*(4*p**4 - p**4 - 4*p**4) + 9*p - 23*p + 109*p**5 + 13*p.\nAnswer: 107*p**5 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 + 2*m + 49. Let r be s(10). Let b = 69 - r. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/12)\/((-3)\/(-12)). Let h(x) = x**s - 12*x**2 + 3*x**2 + 17*x**2. Let f be h(-6). What is f rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-70)\/(-7))*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5114051*y**3 + 20*y - 17100.\nAnswer: 30684306*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 2*a + 2. Calculate v(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + ((-6)\/((-21960)\/19167) - 2). Let x = t + 4\/305. Factor 1\/4*l**4 + 0 - 1\/4*l + 1\/4*l**3 - x*l**2.\nAnswer: l*(l - 1)*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -5. Let w = -6 + j. Suppose 14 + 1 = w*y. Solve 3 = 4*m - 2*g - y*g, -2*m + 6 = 2*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6 + 369\/(-18))*-8 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -12 + 34 + -7 + -11 - -1 - -53.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10359 by 9.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/10233 (c) -223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**2 - 2 - 14*m**3 - 55653346*m + 55653346*m + 4*m**2.\nAnswer: -14*m**3 + 29*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 53*i**2 - 692*i - 43. Let v be l(-23). Factor -8*c - 32\/3 - 1\/6*c**v + 5\/2*c**2.\nAnswer: -(c - 8)**2*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1.1 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -555*f + 1358. Is i(-57) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 192. Let h = r - 42. Let x(a) = a**3 - 5*a**2 - 7*a - 5. Give x(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. Let j = -4258 - -4277. What is the smallest value in a, -0.5, j, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2833 - -4123. Does 86 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 15*f - 22. Let o be x(-13). Suppose o*g = t - 32 + 5, 2*g = -t + 3. Calculate the least common multiple of t and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*w**2*y - 950500*w**2 + 15765548*y with respect to w.\nAnswer: -26*w*y - 1901000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*x = -0*c + 4, -2*c + 5*x - 11 = 0. Suppose -2\/3*a**5 + 0 + 2\/3*a**3 + 0*a + 4\/3*a**c - 4\/3*a**4 = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(10\/(-12)))\/(42\/(-28)). Solve o*j - 6 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2*(-7)\/(-56))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 6014536?\nAnswer: -6014534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 16*n**2 + 3934*n - 573. Calculate w(-246).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 535*f - 1080. Calculate u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 328753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*n**2 - n - 1 + n**2 - 2 + 2 - 2*n**2 + (-6 + 2 + 2)*(-4*n**2 - n**2 + 3*n**2) - 3*n**2 + 0*n**2 + 0*n**2.\nAnswer: 3*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaza when four letters picked without replacement from zazaaaaaa?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2722 - -5688. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 1240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184886 is divided by 326?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 19*d = 18*d + 4, -14 = -7*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 508376 = -0*i. Let x be i*(7*7\/(-12) + 4). Let r = -10614 - x. What is the common denominator of r and 43\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(-431 - -432).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 - b**5 - b**5 + 36 - 36 + 29*b**5 + (0 - 3*b**2 + 0)*(b**3 + 1 - 1).\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2453618 minus -1?\nAnswer: 2453619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-128)*-18*29\/(-3654)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7348 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 274390 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 30 = -4*i. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) -3741\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-10) + (-1 - -2). Let i = 55 - 55. Is t bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70911997 + -0.3.\nAnswer: 70911996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3 + 161*t**2\/6 + 2929*t\/6 + 140 = 0.\nAnswer: -8, -7\/24, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 3:51 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - y = 1, -4*c - y + 4*y + 3 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - q + 5 = -x, -3*x + 4*q = -10. Suppose -104 = -x*w - 30. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7 + 25*v**2 - 7 - 23*v**2. Let w(s) = 3*s - 12. Give u(w(i)).\nAnswer: 18*i**2 - 144*i + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*h - 53*h. Suppose 1\/2*d**3 + 0*d**4 - 1\/2*d**5 + 0*d + h + 0*d**2 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1620, 3253, 4886, 6519?\n\"Answer: 1633*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1375637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a factor of 213455520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2*sqrt(891) + sqrt(891) + 5 - 5*(-6*sqrt(176) + (sqrt(11) + -1)*4)) + 3)**2.\nAnswer: 8382*sqrt(11) + 178508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*y = 4*y - 14, -1 = 3*j + 5*y. Which is the fourth smallest value? (a) j (b) 0.5 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/420 + 47*q**5\/20 + q**4\/12 + 128*q**2. Let u(k) be the third derivative of m(k). Let p(s) = -4*s. Calculate p(u(h)).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((8 - 6) + 24\/657*-54)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451548107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15418 by -7709.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 19 = -0*k + 2*w, -1 = 3*k + 2*w. Suppose -k*u = -u - 30. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122.447 times -2.2\nAnswer: 269.3834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 6. Suppose 5*u + 40 = 7*u - 4*l, -5*u + 2*l = -84. Let x = u - 6. Let i be x*-3*1\/(-5). What is c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, s: 3, e: 10, t: 2}. What is prob of picking 1 s and 3 v?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**5\/210 + c**4\/84 - 2*c**3\/21 + c**2 - 1. Let n(p) be the second derivative of z(p). Suppose n(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*(u*u**(12\/5))\/u)\/u*u*u**(-3\/10))**14)**(-1\/8) assuming u is positive.\nAnswer: u**(-287\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*l**2 - 115743255*l + 980875 = 0.\nAnswer: 1\/118, 196175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 6*t**2 - 11*t + 2. Let w(m) = -6*m**3 - 30*m**2 + 56*m - 11. Let q(p) = 11*o(p) + 2*w(p). Factor q(h).\nAnswer: -h*(h - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57 and -0.109.\nAnswer: 56.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r. Let d(i) = i - 17. Calculate n(d(m)).\nAnswer: -9*m + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*f + 7 = 3 + 4. Solve -4*t - 5*j + 16 + 24 = f, 0 = -2*t - 5*j + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -47 - 31*i - 31*i + 78*i. What is the hundreds digit of v(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (28 - (-27 + 61)) - (1 + (0 - 14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 2*i - 6. What is f(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*k - 28*k + 43*k.\nAnswer: -197*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:47 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*n - 8. Let h = 17 - 8. Is n != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 10:33 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-4))\/(2\/8). Let l = s - -7. Suppose f = 4*a - 31, -2*a + 5*f = l*f - 3. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4191131 divided by 7.\nAnswer: 598733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1.6, -96, -462, -0.06 in decreasing order.\nAnswer: 1.6, 1\/5, -0.06, -96, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1726*c**3 + 15*c**2 - 20*c + 41. Is v(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*b - 14, 0*b - 2 = -2*b. What is the smallest common multiple of (-1)\/(4\/16*p) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -18*u**2 - 91*u - 5. Let o be p(-5). Let w be (o\/(-5 + (-12)\/(-4)))\/(-1). Solve -t + 4*g = w, -2*g + 0 + 2 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**4 - 12*g**3 - 336*g**2 + 172*g + 168 = 0.\nAnswer: -6, -1\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4224 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppy when three letters picked without replacement from {y: 2, p: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4096 + -4103. Sort 1, p, 3.7 in descending order.\nAnswer: 3.7, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*d**6 - 14*d**4 + 5*d**2 - 169?\nAnswer: -8040*d**3 - 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:40 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/2)\/a**(-1\/4))**(2\/79) assuming a is positive.\nAnswer: a**(11\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6\/5 (b) 0.5 (c) -402 (d) -1.1 (e) -2 (f) 17 (g) -4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k = 5*a - 40*k + 15, 24 = -8*a + 4*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 + 9*l - 3. Let s(r) = -r**2 + 11*r - 10. Suppose 4*p + 18 = 6*p. Let i be s(p). Is x(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 6\/5, 0.09, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51554 by -6.\nAnswer: -25777\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 11*a**4\/24 - 2*a**3 + 2*a**2. List the prime factors of k(8).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 9, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10926 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 8:45 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2138 divide 243885238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 7\/2, 2\/3, 2, -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33594611, 67189228, 100783843, 134378456?\n\"Answer: -f**2 + 33594620*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/17442 and -155\/52326.\nAnswer: 52326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, 0.01, -0.145, -3 in ascending order.\nAnswer: -3, -2, -0.145, 0.01, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.28 * 4.\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 1:12 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13857 is divided by 6905?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47544.\nAnswer: 2, 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5807*o**2*r**3*s - 2*o**2*r - 33*o**2 - 14*o*r - 2*r**5*s - r*s + 2*s wrt r?\nAnswer: -34842*o**2*r*s - 40*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -27.13. Let g = c - -0.13021. What is g rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6 and 66\/(-396)*330\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.3 and -1480044.\nAnswer: -1480054.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 6*i**2 - 5*i + 6. Let g be d(-5). Suppose -s = 2*s - 48. Let z be 3\/(-2)*s\/(-6). Solve -5*f + z + g = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wvvvwwvv. What is prob of picking 1 v and 3 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 3*t + 32. Let h be n(6). What is the highest common factor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -6480 (c) -43 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y = -33*y - 73*y + 315. Let k(n) = -9*n + 25. Let q(i) = -14*i + 37. Determine y*q(h) - 8*k(h).\nAnswer: 2*h - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13035 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:39 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 - 142\/(-6). Let u = -13 + m. Calculate the smallest common multiple of ((-3)\/(-2))\/((-6)\/(-52)) and u.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -53*c**2\/2 - 2*c - 31. What is the tens digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.38.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 140*x**2 + 135235*x - 4824. What is a(-966)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 2920726 <= 2920726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -426, 740, 2640, 5274, 8642, 12744?\nAnswer: 17580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127668326 + -0.11?\nAnswer: -0.237668326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p + 4. Calculate v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 279358301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d. Let y(u) = 136*u. What is 170*h(q) - y(q)?\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - j - 3 = 6, -2*j = -6. Let b be (-20)\/11 + (-8)\/44. Is b equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 458 - 138. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 968 = 101*l - 13*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.988923 to two dps.\nAnswer: 34.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2.2, -3, 5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(4598))\/sqrt(2) + -1.\nAnswer: -1 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146 and 3449.\nAnswer: 503554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 12*v**2 - v + 12. Give j(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 886980706 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2731*a + 2110*a + 1086*a)*(-a - 4 + 4) to b + c*a + v*a**2 and give v.\nAnswer: -5927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 3 - 3 + 3420*j**3 - 3384*j**3.\nAnswer: 36*j**3 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -20, 2226 = -3*w + 5*j - 86. Let m = w + 762. Let f(y) = -y**2 - 18*y - 9. Determine f(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 10050220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013130134 - -124?\nAnswer: -1013130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 43*a - 434 - 236 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34601.66 centimeters in micrometers?\nAnswer: 346016600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 143130\/70 + 9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 0*n**2 + 1\/2*n**3 + 0 + 1\/4*n**5 + 3\/4*n**4.\nAnswer: n**3*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.56 smaller than 5956.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, -9, -57, -145, -285, -489?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9.7 and -219681027.\nAnswer: -219681036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1044 + 4456. Calculate the highest common divisor of 25 and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 9. Let y be ((-1)\/2)\/(b\/(-24)). Is 5 a factor of (18\/8)\/(y\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5\/4 + 27*o**4\/4 - 18*o**3 + 12*o**2.\nAnswer: -3*o**2*(o - 4)**2*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3cc (base 13) in base 14?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 2217*d**3 - 13221*d**2 - 19791*d.\nAnswer: -3*d*(d + 3)**2*(d + 733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 8:51 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 34 + 6. Let d be -3 + (h\/4 - -7 - 4). Let b(q) = -16*q**3 + q**2. Calculate b(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 35*o**4\/12 - 6*o**3 + o**2\/2 - 203*o. Let v be q(1). Solve 3*i = -p - 10, -i = -4*p - v*i + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58725.26 litres in millilitres?\nAnswer: 58725260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1428 and 24843.\nAnswer: 1689324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-120))\/((-4)\/224). Solve d = -3*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(847) + sqrt(847)*-1*2)**2.\nAnswer: 264*sqrt(7) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156 + 158. Suppose -v*q = 6*q - 1992. What are the prime factors of q?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1309 and 72170?\nAnswer: 13495790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 i, and 1 c when three letters picked without replacement from {p: 6, i: 1, c: 8, a: 2, k: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-60))\/(5556\/9260).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*c**3 + 20*c**3 - 9*c**3 + (-5*c + 3*c + c)*(3*c**2 + 0*c**2 - 4*c**2) + c**3 + 3*c**3 - 2*c**3 + (c**2 - 4*c**2 + c**2)*(-c + 1 - 1).\nAnswer: 93*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 411488 and 3087392.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3)*(-4 - -1)\/(-6). Suppose 4*o + l*o - 5*u - 65 = 0, 2*o - 2*u = 30. What is the highest common factor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 7*j**2 + 8*j + 2. Let g be u(-8). Suppose 0 = -g*h - 8 + 32. Suppose -3*f + h + 6 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2*(-3)\/(-12)). Suppose -2 = 2*x, j*a + 109 + 146 = -5*x. Let r be -176*(1 - 0)*a. What is r rounded to the nearest 1000?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, 4\/7, 25, -219, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p**3 - 7*p**2 + 2*p + 16. Let n(y) = 13*y**3 - 5*y**2 + y + 11. Let d be (2\/(-6))\/(10416\/(-360) + 29). Give d*h(a) + 7*n(a).\nAnswer: -4*a**3 - 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5380 (b) -0.1 (c) 0.5 (d) -0.14 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2278 - 2281. Which is the third biggest value? (a) -5 (b) 0 (c) -0.1 (d) g (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 - 15 = 0. Suppose -3*n + 7 + 18 = 5*m, 39 = w*n + m. What is the lowest common multiple of n and 64\/10 + 2\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25507, -52180, -78853?\n\"Answer: -26673*z + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 115*r - 100*r + 2685. Sort 5, 4, r in decreasing order.\nAnswer: 5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 1, g: 1, a: 2}. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 333*f**3 + 165*f**2 wrt f.\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (8 - 28)) + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180))**2 + -1 + (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4)))**2 + 0 + sqrt(125)*-3 + 4.\nAnswer: -15*sqrt(5) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 - 56*k - 176 with respect to k.\nAnswer: -4*k - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*a + 220 - 160 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 26*j**2 + 21*j - 90. Determine s(-27).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -25452173000 to the nearest 1000000.\nAnswer: -25452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/4 - -1)*(-52)\/(-455)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 12. Suppose -h*b + 1638 = -0*b. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 3*u**2 + 13*u - 37. Let a be j(3). Suppose a*g + 5*g = -2*g. Which is smaller: g or 2\/549?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukyyyuuyuyuykukyuu. What is prob of picking 2 y, 1 k, and 1 u?\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 11) in base 3?\nAnswer: -22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -3.\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 2 + sqrt(3) + sqrt(3))*3)**2 - (((sqrt(192)\/sqrt(4))**2 - sqrt(3)) + -5 + sqrt(3)*1).\nAnswer: 252*sqrt(3) + 506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26442360.\nAnswer: 2, 3, 5, 7, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 + 411. What is the greatest common divisor of m and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/11 and 474 - 477 - (0 - 3208\/1086).\nAnswer: 5973","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 338841?\nAnswer: -338816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6 - 3)\/(-1)*(157 - 135)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*q - 7 + 2*q**2 - 16*q**3 + 4*q + 36*q**3 - 23*q**3 + q**4 in the form u*q**4 + a*q**3 + c*q + h*q**2 + i and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1504 and 18\/154019.\nAnswer: 4928608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -3, 0.5, -7665, -24.3 in decreasing order.\nAnswer: 0.5, -4\/5, -3, -24.3, -7665","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 3*i + 7. Let m be u(-3). Let x = m + -16. What is the derivative of 14 + 25 + 8*g**2 - x wrt g?\nAnswer: 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:32 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyybbbbyyyyyy. What is prob of sequence yb?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -3307, -11174, -26483, -51712, -89339, -141842, -211699?\nAnswer: -301388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -288466401 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2650044307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0*f**4 + 0*f**3 + 0 - f**2 + 4*f - 1\/10*f**5. Differentiate x(j) with respect to j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 11*x - 28 = 0. Let o be -5*(1 - x\/5). Suppose -4*u - 2*m + 60 = -6*m, -4*u + 61 = -5*m. Calculate the highest common factor of u and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-15)*(-45)\/6. Which is the nearest to 1? (a) 3 (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}