diff --git "a/data/dm_maths/full_data/10740_11255.jsonl" "b/data/dm_maths/full_data/10740_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10740_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Round 0.08815383765 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:52 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*a**2 - 43*a**6 - 11*a + 30*a - 19*a wrt a?\nAnswer: -5160*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r - 5*r + 9*r + 17*r to b + d*r and give d.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2271, -26, -4, 6 in ascending order.\nAnswer: -26, -4, -1, 6, 2271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1362 + -1314. What is the smallest common multiple of 438 and i?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475638 is divided by 4493?\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10271 - 10274 - 10264 - 10263 - 10263 + 51335 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 866377.5603 rounded to the nearest one hundred?\nAnswer: 866400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1049*c*s**3 - c*s + 1311*s**3 wrt c.\nAnswer: 1049*s**3 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/5 (c) 25\/32 (d) 0.05 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**34*r)*r*(r*r\/r**2*r)\/r)**17 assuming r is positive.\nAnswer: r**(-561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396 - 86 = -41*p + 92 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54553 to three dps.\nAnswer: -0.546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/40 + u**4\/12 + u**2. Let b be (-4334)\/(-132) - 34 - 2\/(-12). Let g(t) = -t + 1. What is b*a(j) - 2*g(j)?\nAnswer: 3*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 632736 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**4 + 2*o**3 + 1. Let l(b) be the second derivative of b**6\/10 - 9*b**5\/20 + b**4\/6 - 2*b**2 - 284*b. Let s(z) = l(z) + 4*x(z). Factor s(q).\nAnswer: -q**2*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*f - 27 = -146*f - 3*s, -2*s + 57 = 11*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -625650 by -30.\nAnswer: 20855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 358*f**3 + f**2 + f - 1. Suppose 4*m - 8*w + 3*w - 9 = 0, w = 2*m - 3. What are the prime factors of l(m)?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 a when three letters picked without replacement from {i: 2, g: 8, z: 5, a: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (67*n + 6*n - 36*n)*(-8*n**2 + 109 - 109) to z*n + r*n**3 + u*n**2 + k and give r.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2\/11 + 940*z\/11 - 23712\/11 = 0.\nAnswer: -494, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9207*v - 5103951 + 5103951 in the form o + q*v and give q.\nAnswer: 9207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-201)\/268*-2*(-68)\/(-3)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3461298 weeks to milliseconds.\nAnswer: 209339303.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232\/7 - -33. Put h, -6\/7, 0.3 in decreasing order.\nAnswer: 0.3, h, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 199. Let t be s(-67). Put t, 0, 45 in descending order.\nAnswer: 45, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-52) + 13\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1496*d - 79*d - 15232 = -2632 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(19) - (sqrt(304) + 2))**2 - (sqrt(19) + (sqrt(19) + 1 - sqrt(19)) + -3)**2 - 2*(sqrt(19) - 6*(sqrt(19) + -1) - (sqrt(19) + sqrt(76))*4)).\nAnswer: 141 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 0, 2, -3, 1902, -7 in descending order.\nAnswer: 1902, 20, 2, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w + 7*w + 80 = 0, 5*h = -w - 145. Let g be 4\/(-10) - 552\/20. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + k + 4*k)*(-1 + 4 - 5)*(-211 - 38 + 35)*(2 + 2*k - 2) as h + w*k**2 + l*k and give w.\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9055456300 to the nearest one hundred thousand.\nAnswer: 9055500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dppv when four letters picked without replacement from {s: 1, a: 1, v: 1, d: 2, p: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225*o - 60 = 235*o. Let a be 1*7\/o - 2\/(-12). Sort a, -5, -3 in descending order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 1. Suppose -1870 = -6*i + 452. What is the units digit of i\/3 - -5 - (3 + g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fhfhhhffff. Give prob of picking 3 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1*6)\/(45\/(-48)*(-82)\/205)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b1032 (base 12) to base 16.\nAnswer: 167de6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 - 0.9944?\nAnswer: 381.0056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -545.59 + -0.5\nAnswer: -546.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -907341 divided by -17791.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/1 - (3 + -1). Let q = 23 - 13. Let b be (408\/q)\/(r\/(-40)). What is the highest common divisor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*d - 6. Let r(n) be the second derivative of 1\/6*n**d + n + 0 + n**2. Determine r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s**2 + s. Let m(z) be the first derivative of 3*z**3 - z**2\/2 + 112. Let t(n) = 15*n + 101. Let a be t(-7). Calculate a*v(f) - 3*m(f).\nAnswer: 5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 28\/17 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/(w**(4\/3)*w)*(w\/((w\/w**(-2\/5))\/w)*w*w)**48 assuming w is positive.\nAnswer: w**(1852\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 49*a + 33. Sort -2, a, 107 in increasing order.\nAnswer: a, -2, 107","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + 13 + -3 + (-5 - 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27731724173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88437, -177238, -266017, -354762, -443461?\nAnswer: -532102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**7\/420 + z**6\/180 - 2*z**3\/3 + z. Let h(s) be the second derivative of v(s). Find the third derivative of h(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, o: 2, b: 6}. Give prob of sequence obox.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*g - 922*g = 205*g + 11484 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8808 and 7054107.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2. Let j(g) = 0*g**2 + 0*g**2 + g**2 - 2 - g + 1. Let w(s) = -2*j(s) - r(s). Factor w(p).\nAnswer: -2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60536 - 2.7?\nAnswer: 60533.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 9}. Give prob of sequence eg.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38461821.\nAnswer: 3, 353, 36319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*h**3 - 71*a**2*h - 3525*a*h - 3*a + 12299277*h**5 + 2 wrt h.\nAnswer: -12*a**2*h + 245985540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 11*y + 2 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -201, -403, -605, -807, -1009, -1211?\n\"Answer: -202*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1569, -1567, -1565?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28341 - 28117. Calculate the smallest common multiple of 1680 and f.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187236*n**3 - 3*n - 7*n**2 + 187233*n**3 + 2*n to the form p*n**2 + d*n + h + k*n**3 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5840 divide 10891600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - 427?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q - 26*q + 7*q + 15*q**4 wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 8, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -6*r**2 - 5\/24*r**4 + 0*r + 0 - 1\/6*r**3 - 1\/60*r**5. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 479224.2cm?\nAnswer: 4792242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1974)\/154 - -13*1 - (-8)\/(-55). What is the fourth biggest value in 6\/11, u, 2\/9, 5, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) 6 (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 10*x - 8*x - 9*x as o + r*x and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1999*c + 1985*c + 1142*c.\nAnswer: 5126*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -18 (c) 0.2 (d) 2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 11*v + 34. Let i be p(-7). Suppose -11*x = -8*x + i. Let r be (-14)\/(-5) + 4 + x + -5. Which is the nearest to -2\/5? (a) 10 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13*3\/4)\/((-15)\/(-340)). Let d = 410 - i. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 270*t**2 - 5065*t + 34259. Determine a(-288).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooowwooo. Give prob of sequence wow.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 14*i + 12 = 0. Let o be 8*i\/((-32)\/(-1260)). What is the common denominator of (-445)\/o - (-6)\/(-27) and -91\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 3:03 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 - -43 - (-32 + -1 - -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*p + 131*p - 1257 = 288*p + 16607 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477*l = 1361*l - 7352. Factor 2\/5*y**5 - 26\/5 + 106\/5*y - 34\/5*y**l - 164\/5*y**2 + 116\/5*y**3.\nAnswer: 2*(y - 13)*(y - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/37)\/(a\/((a\/((a*a\/(a**8\/a*a))\/a))\/a*a))*(a\/(a\/(a**(-15)\/a)))\/(a\/(a**24*a)) assuming a is positive.\nAnswer: a**(557\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -15 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2819871.\nAnswer: 3, 137, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 187, 194, 213, 250, 311, 402?\n\"Answer: o**3 + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3\/7 - 19780*y**2\/7 - 30177632*y\/7 - 1883886512 = 0 for y.\nAnswer: -2098, -749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/7)\/(51\/(-238)). Let q(i) = -i**2 - 4*i + 4. Let h(x) = 11*x + 5*x**2 - 6 - 5 - 2*x**2. Let p(g) = y*h(g) + 11*q(g). Suppose p(s) = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 10) in base 7?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 10, 5 in descending order.\nAnswer: 10, 5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 635\/15 + 21534\/(-1746)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1211*r - 8049 + 21370 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 2\/3*h**3 - 23 - 15\/2*h**4 + 15*h + 0*h**2. What is the third derivative of a(w) wrt w?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 73 = -2*w + 5*l, -w + 59 = 3*l. Let k be w\/77 - (-34)\/14. Solve -7*m**4 - m**4 - 3*m**3 + 3*m**4 - k*m**5 - m**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 462*t + 8927. Calculate p(-12).\nAnswer: 3383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1890242 - 0.16.\nAnswer: 1890241.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(512) + sqrt(8))\/(-4*sqrt(4)*3) - (((sqrt(54)\/sqrt(3) + sqrt(18))*5)\/(sqrt(1296)*1 + sqrt(1296)) + 5).\nAnswer: -5 - 11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/6 - 3*n**2\/2 + n. Suppose -2*j = -5*j. Give u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 3, d: 2, x: 6}. What is prob of picking 1 v and 1 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-200))\/(2\/16)*((-320)\/(-12))\/(-16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 0.5.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from ttttzztttt?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-77)*(-11)\/2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 226\/4 + 21\/(-14). Suppose m = -j + 6*j. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 408250, 816495, 1224740, 1632985, 2041230?\n\"Answer: 408245*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x*(x*(x*x*x*x**2)\/x)\/x)\/(((x\/(x*x*x*x**(-13)*x))\/x)\/x*x\/x**14) assuming x is positive.\nAnswer: x**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**3\/6 + s. Suppose 82 = 38*q - 108. Calculate x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apccpcpsvppacvsbccsp. What is prob of sequence pasv?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 82 = -0*q. Let y(x) = -4*x**2 - 98*x - 28. What is the least common multiple of y(-24) and q?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2412*q = 2060*q - 40248 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uheq when four letters picked without replacement from enuhqhh?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15707687?\nAnswer: 883, 17789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 3939*k**2 + 2*k - 3951*k**2 + 7908*k**2.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178564 is divided by 136?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus -0.62652237?\nAnswer: 1.02652237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5291 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0700764 times 20\nAnswer: -1.401528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/17 + 1816*h\/17 - 461610\/17 = 0. What is h?\nAnswer: -1115, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-10 - (-6 + 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = g - 22, -3*k + 6*k - g + 60 = 0. Sort 1, k, -123 in descending order.\nAnswer: 1, k, -123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/1335 and -73\/633.\nAnswer: 281685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -20*x - 36. Let c be l(-2). Suppose -2*v + 98 = 4*t - 34, -c*v - 3*t + 289 = 0. Calculate the greatest common divisor of v and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*w + 170, -5*w + 164 = -2*y - 6. Let u = w - 19. Suppose 5*h + 125 = 5*g, -2*h + 10 = g - u. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4839*j. Let r(w) = -w. Determine r(f(g)).\nAnswer: -4839*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:47 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:16 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 102*q**2 - 302*q - 12. Give s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 537326523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 + 232*x - 232*x - 5*x**3.\nAnswer: 5*x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n + 16. Let w be o(8). Calculate the greatest common divisor of 120 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674 times 508?\nAnswer: 1866392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -731*t + 725*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:26 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 11 + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -181*n**3 + n**2 - 2*n - 3. Is 8 a factor of f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0*v**5 + 0*v + 13\/120*v**6 - 19\/6*v**3 - 12*v**2 + 0*v**4 + 0. Differentiate d(g) with respect to g.\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.2 + -9. Let z = -0.6 + b. Sort z, -1, 5 in descending order.\nAnswer: 5, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 - 46. Let m = i - 27. Is m at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -9c?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 5*a + 3*n - 5682, 4*a + n - 7561 = 0. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, -106\/13, 64 in descending order.\nAnswer: 64, 4, 0.4, -106\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 - 278. Let a = 72 - 111. Let x = m - a. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 662 - 662.00598. Round b to 4 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777257 is divided by 51816.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*1*(7 + -5). Let f be (-10)\/3*(-3)\/2. Is f less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 - 156. Let i be (3 + r\/(-2))\/((-12)\/(-32)). Let q be 4\/(-2)*(-3)\/15. Which is the smallest value? (a) q (b) 1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4796 - 1?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - -74 - 2)*1 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 2*o**2 + 0*o**2)*(0*o - 3*o - o) + (-2 + 2 - 2)*(2*o - o + 0*o)*(-2*o**2 + 0 + 0) + o - o + o**3 + (-3*o**3 - o**3 + 6*o**3)*(2 - 3 - 1).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -29b?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q + 1 - 2*q**2 - q**2 + 4*q**3 - 3*q**3. Let n(o) = o**3 + 7*o**2 - 2*o + 7. Let w be n(-7). Let i = w + -18. Determine y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 9130.\nAnswer: 54780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 - 7*f. Let b be w(-7). Suppose b = 4*d + d. Put d, 4, 3 in decreasing order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*g - 1 = 0, -5*g - 2 - 2 = -4*c. Solve -c = 4*x + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2, 2\/3, -0.7, -0.13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*g - 30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 18*i + 384. Let f be k(-20). Calculate the greatest common factor of 1002 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/45)\/((-63)\/(-140)))\/(20\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l + 279. Determine v(-38).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10399 + 521 = 5*r, v + 4365 = 2*r. List the prime factors of r.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:33 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(144)*6 - sqrt(144)) + sqrt(144))\/(sqrt(242) - sqrt(242)*3)*4)**2.\nAnswer: 93312\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00793686914 rounded to 6 dps?\nAnswer: -0.007937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**3 + 5544*w - w**4 - w**3 - 5545*w as f*w**4 + h*w + t*w**3 + c + r*w**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -7*a - 24. Suppose -2*q + 23 = -q - 2*t, -70 = -3*q + 5*t. Let g = q + a. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 130305982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102202 (base 3) in base 9?\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823339.\nAnswer: 11, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 12:53 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from zzozjtozjzrjzdzz.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = w, 5*v - w = -24. Let r be (-934)\/v + 2\/4. Let s = 2104\/9 - r. Which is the third smallest value? (a) 0.2 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 7:06 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szddasvxa. Give prob of sequence adz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g = -40. Suppose 15 + 3 = w. Calculate the remainder when w is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 558 (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12835?\nAnswer: 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1177, 4700, 10579, 18820, 29429, 42412, 57775, 75524?\n\"Answer: p**3 + 1172*p**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347759342 or -1?\nAnswer: -347759342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 0*j - 1\/60*j**5 + 13\/6*j**3 + 1\/3*j**4 + j**2. What is the units digit of h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -2.17793?\nAnswer: 0.217793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2722517?\nAnswer: 7, 388931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.706668ml to litres.\nAnswer: 0.009706668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -a + 5, -a + 4*a - 11 = 5*u. Let n = 1 - -5. Let q = n + a. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**4 - 5*o**3 - 5*o + 2. Suppose -3 - 2 = -p. Let u(g) = g**4 - g**3 - g + 1. Let q(l) = p*u(l) - f(l). What is the first derivative of q(v) wrt v?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 - 11*f**2 + 84*f + 574. Let r(h) = 8*h**3 - 24*h**2 + 170*h + 1147. Let j(u) = 5*o(u) - 2*r(u). Factor j(n).\nAnswer: -(n - 9)*(n + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(208)*-1 + ((sqrt(208)*2)**2 - sqrt(208))*-6.\nAnswer: -4989 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 20038*b + 20038*b + 8*b**2 to a*b**2 + l + o*b and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12709 and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-920)\/(-35) + 4\/(-14)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 286691*b. Let l(u) = u**2. Calculate r(l(n)).\nAnswer: 286691*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*f + 8 = 0, 10*f - 12*f - 8 = 3*x. Solve x = -2*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192611131.\nAnswer: 23, 67, 124991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18600199 to the power of 1\/2, to the nearest integer?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1225\/375 + 64\/(-40)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*s**3 - 5901833*g**3*s**2 - 55*g**2*s**2 + 3512*g**2*s + 27*g**2 - g*s**3 wrt g?\nAnswer: -6*s**3 - 35410998*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1573586 * 16.\nAnswer: -25177376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 89, 191, 347, 569, 869, 1259, 1751?\nAnswer: 2357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5. Suppose -4*v - 4*i + 51 = -69, -3*v = i - 84. Let l = v + -31. What is the third smallest value in k, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1459 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1781*h**4 + 2929*h wrt h?\nAnswer: 21372*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 7*h**2 - h + 202. Let o(m) = 6*m. Determine i(o(j)).\nAnswer: 84*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b*b*b)**(-16\/5)\/(b\/b**(2\/5))**34)**(-9) assuming b is positive.\nAnswer: b**(1638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1911537?\nAnswer: 1\/1911537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -200*c + 195*c + 3*l - 42, 10 = -3*c - 2*l for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30871300 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/18 + 144\/81. Suppose -3*t - 5*x + 270 = 0, j*x - x = t - 90. Let d be (-12)\/t - (-8)\/6. Which is the closest to 2? (a) -1\/6 (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*c - 19 = 0, -2*y + 14 + 24 = -3*c. Suppose -5*p + 6*t = 4*t - 16, t + y = 5*p. Solve 0 = -0*k - p*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 + 17*i - 7. Is x(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5938*v**3 + 1973*v**3 + 1978*v**3 + 1983*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51398 and -0.04?\nAnswer: -2055.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuaauauuuuaua?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 4*g**2 + 3. Let s be w(4). Suppose 21 + s = 4*d. Solve z - 4 = 5*l, 2*l + 2*z - d*z - 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16335 (base 7) in base 15?\nAnswer: -158c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uss when three letters picked without replacement from {s: 4, u: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34697.29 and 5.\nAnswer: -173486.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27 + -18 - 22522\/2460 and 1\/656.\nAnswer: 9840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47db9d (base 15) to base 16.\nAnswer: -347725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 182657168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.59 + 1.01. Let u = -14 + h. Put 3, 12, u in descending order.\nAnswer: 12, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -668\/7 at most as big as -96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(5) + (sqrt(30)*-2)\/sqrt(6) + ((sqrt(540) - sqrt(15)) + sqrt(15) + sqrt(15))\/sqrt(3))**2.\nAnswer: 48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, 1\/7, 53?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011011000111 (base 2) in base 13?\nAnswer: -4698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -5*x**6\/144 + x**5\/12 - x**4\/12 + 16*x**3\/3 - 7. Let c(w) be the third derivative of l(w). Factor c(f).\nAnswer: -(5*f - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35232893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**3 - 13*w - 3. Let q(a) = a**3 - 1. Calculate k(u) - 3*q(u).\nAnswer: -6*u**3 - 13*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -664*f. Let d be -2 - (384\/(-8) - -4). Let q(s) = d*s - 123*s + 38*s + 42*s. What is z(q(p))?\nAnswer: 664*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 2 u when four letters picked without replacement from {m: 1, u: 5, d: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -0*n. Let d(w) = -w - 5*w + n + 2*w + 5. Let p(h) = 5*h - 6. What is -6*d(l) - 5*p(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 78*r + 80.\nAnswer: -2*(r - 40)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 3 - -3) + (3 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8600 - 0?\nAnswer: 8600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**7\/84 + o**6\/10 - 3*o**5\/10 + o**4\/3 - 28*o. Let j(d) = 0. What is d?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 > 2814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Suppose -5*y - 3*w = -233, -w = y - 71 + 24. Let k = y + -41. Solve 5*s = -q*s - k for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.036 - 0.004. Let i = 0.46 - z. Let n = 1349\/9 + -150. What is the third biggest value in 0.27, -2, i, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 182\/7 - (-30968 + -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/100 and -63\/250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -521\/10. Let y be (-7 - -1 - -3)*6\/27. What is the second smallest value in i, 0, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 - -216. What is the nearest to 1 in 12, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831 is divided by 956?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 - 6*a**2 - 7*a - 6. Let i(x) = -511*x - 5*x**2 - 5 + 186*x - 5*x**3 + 319*x. Determine -7*i(r) + 6*w(r).\nAnswer: -r**3 - r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 61\/3*(-1 - -8 - 4). Let u = 85 - b. What is the second derivative of -14*x + u*x - 23*x - 5*x**2 - 4*x**2 wrt x?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -19 (c) -250 (d) 0.2 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -9*y - 16. Sort 2, y, -6 in descending order.\nAnswer: 2, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9099781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1728.457s?\nAnswer: 1728457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353 + 3254351?\nAnswer: 3253554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**6\/h**(-7\/4) assuming h is positive.\nAnswer: h**(31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.5? (a) -581 (b) -5\/9 (c) 1 (d) 4 (e) 0 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -13, -2 in decreasing order.\nAnswer: 4, 2, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1764, 20 in ascending order.\nAnswer: -1764, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*z + 557484 - 557484.\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 11*k**3 - 16*k**3 + 29*k**3.\nAnswer: 2*k**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 0 (c) -1\/4 (d) 4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -19*z + 45 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -78855 bigger than -10960658\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 x, and 1 m when four letters picked without replacement from imxuwuwukixw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 145 + 33. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 564 and 235.\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l**(-1)*l)\/l)*l)**35)**(3\/40) assuming l is positive.\nAnswer: l**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c - 525246 + 1050485 - 525239.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/20? (a) -5 (b) -1\/4 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + m + 1. Suppose 3*l = -1 - 5. Is y(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 4*m - 4 - 4*m**2 + 0*m + m. Let p(c) = c**2 + 8*c - 5. Let a be p(-8). Let b = -10 - a. What is y(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let v(r) = 11*r**2 + 6*r. Let i = -710 + 716. What is i*s(k) + v(k)?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from tfissfs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 47 = -5*x, -x - x + u + 24 = 0. Let t = x + -8. Suppose 3*d - 7 - 139 = 5*z, -54 = -d + t*z. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 100 = 5*z - 2*v, 34 = z + 2*v. Calculate the remainder when 133 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*65\/2730*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + 1 + 6*v + 0*v - 11*v + 3*v to p*v**4 + d*v**3 + k + z*v + g*v**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(60)*-1 + (sqrt(180) - sqrt(180)*2)\/sqrt(3))\/(sqrt(1728) - -1*(sqrt(1728)*2 + sqrt(1728)) - sqrt(1728)).\nAnswer: sqrt(5)\/36 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/2*(-2 - -2). Find the third derivative of -3*j**5 + z*j**3 - j**2 + 0*j**3 wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*j + 2*w = 101*j + 54, -5*j = 4*w - 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64.962 - 0.038. Let p = c + 65.000023. What is p rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 + 11*r + 15*r**2 - 4*r + 2*r**2 - 1. What is the units digit of g(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6157259209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -15. What is the smallest common multiple of k and (7 + -1)*4\/3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -9 - 1. Let g(x) = 0*x**2 + x**2 + 4 - v*x + 0*x. Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 - -66cdd5?\nAnswer: 66cda0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 263 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -4 - (3 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 76673\/19 = 4036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izib when four letters picked without replacement from iifiibidibkzikifiii?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 416040148 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 22 = -4*z + 20*l - 7*l, z = -3*l + 1438 - 1460 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(320\/400)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -2644, 2, 3 in ascending order.\nAnswer: -2644, 2, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 9*n + 39. Let y be o(12). Suppose -5*a = -y*q + 4951, -4*a - 3298 = -2*q - 0*a. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 + 0*o**4 - 2*o**4)*((-1 - 2 + 5)*(o + 0*o + 0*o) + 8*o - 37*o + 12*o).\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/7)*c**(-9)\/c*c\/(c\/(c**0*c))*c**(-3)\/c assuming c is positive.\nAnswer: c**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.9501 - -0.0499. What is the closest to 11 in -2\/7, -1\/6, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.2, -12\/11851 in descending order.\nAnswer: 1\/3, -12\/11851, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o + 47. Suppose -3*x + 1 = -4*a - 1, 4*a + 44 = -4*x. Let p be c(x). What is the second biggest value in p, 0.3, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r + 5*r)*(-1 - 1 + 4 - 2*r + (165 - 89 + 130)*(-3 + 3 - r)).\nAnswer: -208*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1378290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2232647055 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 2. Let r = -124 - -127. Let h be (-4*(42\/8 - 5))\/r. Sort j, 25, h.\nAnswer: j, h, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drffrdfffdr. What is prob of picking 1 r and 3 d?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*(sqrt(119) + (sqrt(119) + (sqrt(119) - 1*sqrt(119)))*6))\/((sqrt(56)\/sqrt(2)*-6)\/(sqrt(100) - 2*sqrt(100))))**2.\nAnswer: 20825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 16154*i - 1903707.\nAnswer: (i - 117)*(i + 16271)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 t when four letters picked without replacement from {t: 3, n: 8}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 - -1.3. Let y = 9121\/5 + -1824. Which is the closest to f? (a) -1 (b) y (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13516*c*p**2 + 235*p**2 + 19 wrt c?\nAnswer: 13516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o + 30. Let s be h(-9). Let z be (-8)\/35 + s\/(-77). Determine t, given that -1\/5*t**3 - 3\/5*t + z + 3\/5*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9325*g + 9353*g + 168 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/31 in 0.14, 0.5, -2\/11, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 23*u - 6. Let x(f) = f**2 - 8*f - 2. Let q(p) = -6*n(p) + 17*x(p). Let s be q(2). Solve s*c - c + 2 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*p + 5067 - 36 = 0, -5021 = -2*r - p. What are the prime factors of r?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*q - 3*q + q)*(37375*q + 1252*q**2 - 37375*q).\nAnswer: 8764*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35667073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 7 - 1)\/(-1). Suppose -5*n = 2*x - 9525, -k*n - 6*x + 9525 = -3*x. Suppose 0*f + n = 5*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 12) in base 13?\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/273)\/(42\/(-28) + 466\/308)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4547 + 707 = -15*v. What is the remainder when v is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = -17*v - t, -66*v - 4*t + 111 = -59*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263420 + -263290.741. Round d to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:26 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 474, 477, 480, 483, 486, 489?\n\"Answer: 3*v + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -12.1. Let i = l + 11.0000024. What is i rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**7\/980 + 13*w**6\/1260 - 2*w**5\/105 - w**4\/7 - 11*w**3\/3 - 12. Let y(z) be the third derivative of u(z). Factor y(a).\nAnswer: -2*(a - 3)*(a - 2)*(3*a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 + 18. Calculate the smallest common multiple of 108 and o.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382\/45 + 80\/9. Suppose -6\/5*q**2 - 2\/5*q**3 - 6\/5*q - a = 0. What is q?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - (9 + -4)) + 1. Sort 6\/5, b, -94.\nAnswer: -94, 6\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.6 less than -1.03?\nAnswer: -118.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 0*v + 33 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -18 + 7 + -1 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112210220 + 21?\nAnswer: 112211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -69. Suppose 38*g + 8 - i*g**2 - 90*g + 46*g = 0. What is g?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/12)\/(14\/(-63)). Suppose x + 12 = 4*q + 3*x, 2*x + 23 = f*q. Put 2, q, 13 in increasing order.\nAnswer: 2, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 5 - 2*2. Let t(b) be the first derivative of -12 - 3*b + b**2 + 5 + 7*b - b. Give t(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 21*t - 9. Let z(y) = y**2 + 10*y + 4. Suppose -6 = 4*j + 2*n, -3*j + 4*n - n = 27. Determine j*i(v) - 9*z(v).\nAnswer: -v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - j - 4. Let d = -13 - -4. Let l be 6\/d - 56\/6. Let n = l + 13. Calculate w(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from llllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 8. Let p(i) = -3999*i + 5. Let n be p(f). What is n rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uujduqqqujddds. Give prob of picking 2 d and 1 q.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 884*s - 8056 = -71*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 215\/86*-4*(-2)\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -900, -123, 1174, 2991, 5328, 8185?\n\"Answer: 260*s**2 - 3*s - 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5, 6, 53, 154, 327?\n\"Answer: 3*s**3 - 10*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 7*s - 1. Let w be c(6). Suppose -3 = 3*z, -z - 1 = w*v + 5. Is 55 + 0 + v*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 + -3.4. Let f = -1441\/10 + 144. Let t = 1775\/12 + -148. Which is the second smallest value? (a) t (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 2:35 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfm when three letters picked without replacement from zzfmzfzfffmfzmzzzf?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*r - 9336 = -40*r for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/(-10))\/(-3))\/(3444\/112).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**6\/5 + a**2 + 7*a + 7. Let q(h) be the first derivative of m(h). What is the first derivative of q(l) wrt l?\nAnswer: -24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 616350431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/6 + 27695*y**2\/6 + 55393*y\/6 + 27697\/6.\nAnswer: -(y - 27697)*(y + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21175 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-7574)\/(-21)*3. What are the prime factors of (-3)\/(-9) + (s\/12)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*m + 55*f**2 - 3*f*m**2 + 2*f*m + 36*m**2 - 9 wrt m?\nAnswer: 2*f**2 - 6*f*m + 2*f + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 - 92*i + 130. Let v(t) = -6*t**2 - 192*t + 261. Let q(w) = -9*u(w) + 5*v(w). Determine h so that q(h) = 0.\nAnswer: -45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -29073 and -29085 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(-3 + 1462\/488). List the prime factors of (k*2\/(-12))\/((-2)\/(-18)).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2823 and 236191.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 97? (a) 3 (b) 2\/11 (c) 3\/7 (d) 2 (e) -199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/5, -0.12273, -0.3.\nAnswer: -0.3, -1\/5, -0.12273, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -338\/7, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 b when three letters picked without replacement from zzzzbuuuuguuzuuuguu.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**5 - 3*r**4 + 3. Let o(i) = 2 - 4 + i + 4*i**4 + i**5 - 2*i**4. Let a(t) = 2*h(t) + 3*o(t). What is the second derivative of a(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6851 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-130)\/(-70)*4\/26. Put 36, o, 4, -3 in descending order.\nAnswer: 36, 4, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-2)\/8 - 495\/(-540)). What is the second smallest value in -1\/8, z, 2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - -201212012022101?\nAnswer: 201212012021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28523*z + 75 = -28520*z for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99.09 + -101. Let t = o + -0.09. What is the nearest to -1 in t, 2\/5, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 3. Let f(m) = -7*m**2 - 6*m + 11. Let c(p) = -p**2 - p + 1. Let a(x) = 5*c(x) - f(x). Is a(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c = 50*c - 960 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977634.\nAnswer: 2, 3, 7, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3, 2*p - 41 = -o + p. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, v: 2, t: 7, x: 1, m: 3, g: 2}. Give prob of picking 1 w, 1 x, and 2 t.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -7*g + 22. Let z = 40 - g. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erl when three letters picked without replacement from elnrlweenl?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -435\/2645762 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.755435 millennia to months.\nAnswer: 9065.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 3.4 (b) -112 (c) 0.4 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03017, 0.5, 1510?\nAnswer: 0.03017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4214971\/692 - 6091. Is a bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*k + 73 = 6, 0 = -4*d - 2*k + 66. Suppose -4*f = -2*z + d, -z + 4 = -3*f - 1. 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 the third biggest value in 2, -0.4, 1957, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2. Let j(s) = -3*s + 7. Let o(c) = 2*j(c) - 18*x(c). Let z(q) = 2*q + 7. Let f = -361981 + 361971. Determine f*z(t) - 3*o(t).\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -847 + 851. Let t(u) = 2*u - 6. Let b be t(8). Calculate the highest common divisor of k and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.3 (c) 3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 195*r - 203*r - 64 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f - 152. Calculate q(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 2}. What is prob of sequence mx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/5229 and -73\/36?\nAnswer: 20916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 14*c + 4. Let m(v) = 5*v + 1. Determine 4*f(g) - 11*m(g).\nAnswer: g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 8*r - 12. Let k be ((-9)\/3)\/(r\/8). Solve -s = s + k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r**4 - r**3 + (-r**2 + 0*r**2 - r**2)*(2*r**2 + 1 - 1) - r**4 + 0*r**4 - r**4 + 2*r**2 - 2*r**2 + 2*r**4.\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + 13. Let i = q + -40. What is the second derivative of 2*g**4 - 10*g**i - 20*g + g**4 wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, c: 8, k: 2, i: 4}. What is prob of sequence kii?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/6050 and -46\/135?\nAnswer: 163350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**2*p**4 + 82*c**2 - 7*c - 494567*p**4 - 14 wrt p?\nAnswer: -28*c**2*p**3 - 1978268*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*m - 8372, 2979 = 2*f - 5*m - 2595. Suppose -2*h + 4*q + f = 0, h - 2*q = -4*h + 6972. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3480, 4038, 4594, 5148, 5700, 6250?\n\"Answer: -w**2 + 561*w + 2920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 7, 3, -3, -11, -21, -33?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29883557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3, -a + 1 = a - 646*l + 643*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229\/3 - -79. Let q be 2\/3*(422\/(-92) - 236\/(-2714)). What is the closest to 2\/7 in 4, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4240108871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 8*q + 3. Let x = 4 - 11. Let t be z(x). Suppose -t = -3*b + 26. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -2208575.\nAnswer: 32\/2208575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/7)*y**(9\/4)\/y assuming y is positive.\nAnswer: y**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, 19, -1.228, -20, 0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-56)*2\/(-5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-63))\/((-16)\/28). Let v(o) be the second derivative of -1\/12*o**4 - 2*o + 0 + 5\/6*o**3 - q*o**2. Give v(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 5553\/50?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87249169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 151964550 divided by -228175?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.88 - 4.88. Sort 3\/13, -3, t in descending order.\nAnswer: 3\/13, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/46)\/12*-1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -104*k - 3276. Let v be g(-32). What is the greatest common divisor of 4095 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 7*s**2 + s + 9. Let x be c(-7). Let f = -202 + 206. Solve x*i = f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 + 16*l - 9. Give y(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2160 + -1780. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -12.13. Let q = -0.832 + o. Let j = 0.038 - q. What is the nearest to j in -0.4, 5\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4223 or -4930?\nAnswer: -4930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 15. Let q(w) = w**3 + 6*w**2 - 3*w + 3. Let l be q(s). Let b be (3\/l)\/((-2)\/(-2)). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 10:49 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*b + 2*a, -3*a + 3 = -b + 14. Let m(q) = 3*q**2 - 5*q + 2. Let l be m(3). Suppose -l = -b*t + 61. What is the greatest common divisor of t and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) + (-5)\/(-28) + (-137220)\/(-16009)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -88?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4*5\/(-60))\/(6\/(-2412)). Calculate the highest common factor of f and 7906.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62433*w + 6702 = -61921*w + 23922 + 5820 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21862920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -871 equal to -871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*h**4 + 136693*h**2 - 135720369 with respect to h.\nAnswer: 192*h**3 + 273386*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17, 4, -5.\nAnswer: -17, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90775183 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 116 and 5858?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = -2. Suppose -4*l = -r + 12, 5*l - r - 5 = -19. Let u(w) = 3*w + 5. Let a be u(l). Is z at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 366*n - 1464. What is x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 360.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -0.4 (b) 0.1 (c) 0 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 8127 + 9171 = 0. Calculate the highest common factor of 33 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001340023193 rounded to 7 dps?\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 14*p - 7. Let c be b(-11). Let w be ((-8)\/c)\/(3\/15). Is w less than -5\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10832 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*b = -15, -8*y + 4*y - 3*b - 9 = 0. Let h be (-10 + 7)\/(y + (1 - 2)). Solve 4*i = -3*g + 7, 0*i + 4 = h*i + 2*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(-4)\/6*(-2)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0954 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -23. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5 - 28*o**4 + 6404*o**3 + 32802*o**2 - 57555*o - 292950 = 0.\nAnswer: -93, -5, -3, 3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1004 + 1029. Solve 12 = -x*w + 31*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 69*(8\/2 - 320\/48). Let z = -187 - o. Suppose 0 = 2*p - 0*p - 2*s - 2, -s + 11 = 5*p. Sort z, -4, p in increasing order.\nAnswer: -4, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 2) + 4\/2)*-1. Find the common denominator of 61\/33 and 2 - h - (-493)\/612.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -52. Let j be 22\/55 + (-536)\/w. Let y = 6 - 0. What is the greatest common divisor of y and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1014*-4*((-57)\/48 - 0)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(((-7)\/(-35))\/((-6)\/15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 748\/3 (b) -0.0373 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + -3 - (-15 - -13) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000212140916 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 41555, -0.51 in decreasing order.\nAnswer: 41555, 5, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/5418 and 71\/84.\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1188, -2362, -3536, -4710?\nAnswer: -5884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532 and 33136.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**5\/3 - 32*g**4\/3 + 8*g**3\/3 + 128*g**2\/3 + 28*g = 0.\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 125904 + 129?\nAnswer: 126033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-351)*(-964197)\/871.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -473, -1086, -1955, -3086?\nAnswer: -4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 16*d**2 - 15*d - 4. Let y be (3*-10)\/((-6)\/7*(-203)\/87). Give m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/43 (b) 4 (c) 3 (d) -956\/15 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-3)*-21*46\/28497.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + 240\/(-42) + (-281)\/28 and -97\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -551729 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/1)\/(-2))\/(24\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 18*z**2 + 101*z + 473. Let l be t(-9). Is -0.01 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x + 5*c - 1190, 2 = -2*c. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 266*o**3 + 521*o**3 + 2 - 260*o**3.\nAnswer: -5*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n - 500*g + 502*g - 19 = 0, -g - 3955 = -440*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3818 + 209*z**2 + 224*z**2 + 3818 - 89*z**2 - 875*z**5 wrt z?\nAnswer: -52500*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*c + 3*c. Let y(s) = s**3 - s + 2*s**2 + 3*s - 2 - 4*s**2 + c*s**2. What is the units digit of y(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2620703 litres in millilitres?\nAnswer: 262.0703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/7 + 26*g**4\/7 + 78*g**3\/7 + 46*g**2\/7 - 80*g\/7 - 72\/7 = 0.\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*v. Suppose 0*m + 10 = 4*m - v*s, -m + 13 = 3*s. Let h be (10\/4)\/(-6 - (-145)\/20). Solve -2*d = -j + h*d + 11, -16 = -m*j + 2*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/2)\/(14\/196). Suppose -3*u + w = 4*m, -4*u + 4*m + 161 + 91 = 0. Calculate the remainder when u is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 35*x - 146. Let g be d(-15). Calculate the greatest common factor of g and 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -2053?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340 is divided by 321?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v**2 + 4*v**2 - 3*v**2 + 3*v**2 - 3*v**2. Let q(i) = -4*i**2 + 27*i. What is q(b(l))?\nAnswer: -4*l**4 + 27*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 4)*(4 + -1 + -1). Put 0, -1, 5, y in increasing order.\nAnswer: -1, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9825 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v - 17. Let b(p) = -4*p + 18. Determine -5*b(d) - 6*j(d).\nAnswer: 2*d + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*b**3 + 15*b**3 + 13*b**3 - 2*b + 1 to i*b**3 + p*b + n + r*b**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/25, 1, -0.2, 245, -5, 0.1 in ascending order.\nAnswer: -5, -6\/25, -0.2, 0.1, 1, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 756.2 + -756. What is the second smallest value in -9\/2, 4\/7, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/308368 and -61\/288?\nAnswer: 5550624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152219 - -397781. What is y rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2169065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 908330 and 30790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2312441333314 + -4?\nAnswer: -2312441333323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9177754.\nAnswer: 2, 1307, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1446, -1448, -1450, -1452, -1454?\n\"Answer: -2*c - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1*-2)\/(3*sqrt(726) - sqrt(726) - sqrt(6)).\nAnswer: 2*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1 + 0*t + 1\/3*t**3 + 0*t**2. Let v(h) = -h**2. Calculate a(v(z)).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(9\/5)\/p*p**(-4\/21)*p)\/((p*p**(-16)\/p*p)\/p**(-34)) assuming p is positive.\nAnswer: p**(-1826\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*y - 92*y = -28*y + 3294 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + 3*z**4\/4 + 7*z**3\/6 - 2*z**2 + 2128. What is s(-10)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15884 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (104\/24 - -3)\/(122\/3). Let z = a + 1021\/427. Factor 2\/7*q**3 + 54\/7 + 54\/7*q + z*q**2.\nAnswer: 2*(q + 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 636637 and 13456.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -213549689473005 + 213549733170525.9999995. Let y = 43697534 - v. Let a = -13 + y. Round a to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:43 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, -4, 15, 1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-126 - 26 - 593)*(0 + 3*q - q + 2).\nAnswer: -1490*q - 1490","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(2\/7)*c*c*c)*c*c*c)\/(c*c**(-6\/13)\/c)*((c*c*(c\/(c\/c**1*c))\/c)\/c)\/(c*c**1*c) assuming c is positive.\nAnswer: c**(-166\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -21. Which is the second smallest value? (a) r (b) 2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, 0.5, -5, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**7\/840 + q**6\/90 - q**5\/40 + 11*q**3 - 65*q. Let k(y) be the second derivative of f(y). Factor k(p).\nAnswer: -p*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1961 + -1475. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**10\/226800 + t**9\/90720 - t**8\/15120 - t**5\/15 + 6*t**2. Let q(z) be the third derivative of s(z). Factor q(v).\nAnswer: 2*v**2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = m + 1760. Round m to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 3*m. Let r be s(-2). Suppose 4*k - 2 - r = 0, -2*a - 4*k - 166 = 0. Let i = a + 324. What is i rounded to the nearest ten?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 8:48 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t**2 + 22*t**2 + 19*t**2 + 14*t**2 - 80*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -8*r + 2. Let l(i) = -25*i + 5. Let d(x) = 3*l(x) - 10*t(x). Suppose -5*f + 3*f - 2 = 0. Let z(o) = o - 1. Determine f*d(p) + 6*z(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*p = -3, 2*p + p = t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107.998 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/3 - 10022*k**3\/3 - 5054996*k**2\/3.\nAnswer: -2*k**2*(k + 569)*(k + 4442)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2611503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 126 - 126.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/4 + 663*m**2\/8 + 165*m\/4 = 0.\nAnswer: -110, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 411\/5, -2\/15, 0.22 in increasing order.\nAnswer: -2\/15, 0.22, 411\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 332\/3. Let n = d - -88. Which is the third smallest value? (a) -3\/4 (b) n (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4904 and 146424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235100 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i + 9*i + 840 = -18*i for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (3 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 10. Let y = 1 - c. Let j = y - -8. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 5 - -2)*-121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.21172 millennia to months.\nAnswer: 842540.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59644660 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -3*t + 0*t**3 + 0 - 1\/2*t**2 + 0*t**4 - 3\/20*t**5. Differentiate o(d) wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14473, -28947, -43421, -57895?\n\"Answer: -14474*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbl when three letters picked without replacement from rvclb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-3 + sqrt(19) + -5 + 2*sqrt(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273805456?\nAnswer: 2, 7, 11, 641, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3563844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*4 - 2*(sqrt(102) - sqrt(102)*-1))\/((sqrt(72) - (sqrt(72)*1*5 - sqrt(72)) - sqrt(72))\/sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 10 - 4 + 4. Let i be x(6). Solve 0 = -i*g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4) - 5\/(-20))\/(-1). Suppose a*s - 4*q + 6352 = 4*s, -3*s + 4767 = 2*q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*r**2 - r**2 + 6 - 6 to k + u*r**2 + q*r and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1134479 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83\/40 + 23\/8. Let k = 2.92 - -0.08. Which is the second biggest value? (a) k (b) -0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 11:37 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.023, 0.1, 0.4, 0?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204779?\nAnswer: 47, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72619587?\nAnswer: 3, 8068843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*(-4)\/(-15*(-36)\/1485).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - -1 - (1 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8859367, -8859366, -8859365?\nAnswer: -8859364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 527 (b) 8 (c) 1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 15) to base 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u\/u**(2\/7))*u)\/u)**33\/(u**(-1\/4)*u**2)*(u**(-1)\/u**2)\/(u\/(u\/u**(-1\/2))*u**(1\/6)) assuming u is positive.\nAnswer: u**(3193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 20 - (-2 - -16)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (440\/(-12))\/11*9\/6. Let m = 7 + -4. What is the closest to 5 in -4, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/((a\/a**(11\/2))\/a*a)))*a**(-5))**17\/(a**5*a**(-3))**(-10) assuming a is positive.\nAnswer: a**(57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + (-10 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4162*o - m - 14 = 4165*o, -o + 2 = -3*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.045, -1\/5, 1, -2\/9 in descending order.\nAnswer: 1, -0.045, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 8a444?\nAnswer: 8a443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 11, e: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 8*g**2 + 5*g + 6. Let c be f(7). Let h be 20\/c - 1\/(-2). Let u(w) = -2*w**3 - w**2 - 2. What are the prime factors of u(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*s - 492 - 562 = -164 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 1943 = -5*a, 3*a - 5*d - 953 = 235. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85620, 5, 2 in increasing order.\nAnswer: -85620, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 10*b + 2*n + 20, 5*b + 5*n + 80 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 671, 1322, 1973, 2624?\n\"Answer: 651*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -441323?\nAnswer: 441324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 118 = 2*n, -i - i - 140307*n + 140310*n = -47 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: -2.14+-55574.08\nAnswer: -55576.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = 2*n. Let q(i) be the third derivative of i**5\/60 + i**4\/6 - 4*i**3\/3 + 3*i**2. What is q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3421065 (base 9) to base 12.\nAnswer: -74b465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/7, -3, -32040, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 228.00144 - 228. Round n to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3988 + 921251\/231. Calculate the common denominator of 127\/252 and p.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(153) + 1)) + sqrt(17))**2*3.\nAnswer: 6*sqrt(17) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581 + -503 - (248 - 23).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1060)\/636*2*6\/24\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - 3*f**4 - 4*f**4)*(3 + 2 - 2) - 24*f + 24*f - 25*f**4.\nAnswer: -31*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*s + 3*s. Let d(a) = -5*a - 1. Let r be d(-1). What is the second derivative of -w**4 + w**r + 2*w + w**s wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 13*l - 4186. Let p(s) = 7*s**2 - 24*s - 8371. Calculate -6*p(u) + 11*z(u).\nAnswer: 2*u**2 + u + 4180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 109374 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -132, -170, -234, -324, -440, -582?\n\"Answer: -13*f**2 + f - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/5 + 80*t**4 - 12800*t**3 + 1024000*t**2 - 40960000*t + 655360000 = 0. Calculate t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 + (-332)\/36)*-18. Suppose x*n - 49 + 1 = 0. What is the remainder when 29 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7455 is divided by 1858.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, n: 3}. What is prob of picking 2 n and 2 v?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5255481136?\nAnswer: 2, 461, 712511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 425364001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 6*q**2)*(q - 4*q + q + (-4 + 2 - 3)*(16*q - 13*q + 11*q)).\nAnswer: 216*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1)\/(-1 - -2)). Let j(s) = -102*s - 415. Let y(d) = -3*d**2 + 3*d + 32. Let i be y(4). Let n be j(i). What is the third biggest value in -3, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 347 + 466 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 4 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.204121 from -799.\nAnswer: -798.795879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 + 11*f**2 + 37*f + 1. Let n be w(-7). What is the highest common factor of 36 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1\/8 (c) 12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2852 and 2070.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4140)\/(-13041))\/((-230)\/(-69)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -418 - -285. Round d to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*9\/(135\/(-190)). Let s be 17\/102 - t\/(-12). What is the units digit of s + 4\/1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -206929, -206975, -207053, -207163, -207305, -207479, -207685?\n\"Answer: -16*b**2 + 2*b - 206915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*g + 10, -31*y = -30*y + 5*g - 26. Let j = 2 - 1.9. Put 1, y, j in descending order.\nAnswer: y, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2. Let f(x) = x - 32. Let g(n) = -3*f(n) + 6*s(n). Let w be g(23). What is the greatest common divisor of w and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 100?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*-20*(-1)\/5*(-10)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1986 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/((-341712)\/18080)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 23482655.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 39 - 9. What is the remainder when 42 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -510*i + 51. Let m(h) = 73*h - 7. Calculate 2*f(w) + 15*m(w).\nAnswer: 75*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5777 at least 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5 + 18*h**4 - 112*h**3 + 288*h**2 - 256*h = 0?\nAnswer: 0, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -44, -40, -48, -74, -124?\n\"Answer: -q**3 + 11*q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2605, -3, 3 in descending order.\nAnswer: 3, -2, -3, -2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 2*u - 7. Determine t(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-23)*(6\/4)\/(-3).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0 = -20. What is the units digit of 50 - q\/(-8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 4. Find the second derivative of -8*u - 2*u**2 - w*u**2 - u + 7*u wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 81. Let p(l) = l**2 + 8*l + 18. Is p(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 4. Suppose 0 = 69*c - 74*c + 70. What is the common denominator of x(-5) and 24\/(-7) + (-4)\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 50. Suppose 0 = -4*i + c*i - 3. Solve -4*q + 19 = -i*l, l = 5*q - 4*l - 30 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*h**2*l**2*n - h**2*l*n - 11*h**2 - 10*h*l**2*n - h*n wrt l?\nAnswer: 34*h**2*n - 20*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1486179 and -1?\nAnswer: -0.1486179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 174 + 18 = 0. What is the highest common divisor of f and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1937627, -1937625, -1937623?\nAnswer: -1937621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 297417.\nAnswer: -23\/297417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7181784 and 648?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085965798392 + -0.3.\nAnswer: 1085965798391.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*b**5 + 187*b?\nAnswer: 640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 953 (c) 1 (d) 186 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1072 + -478. Let u = w - -210. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 37 + 69)*(w**3 - 3*w**4 - w**3 + (5*w - 3*w - w)*(-2 + 2*w**3 + 2) + 0*w**3 + 0*w**3 + 2*w**4 + (-2 + 1 + 0)*(-w**4 + 0*w**4 - w**4)).\nAnswer: 66*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 3*b + 3. Let f be p(-3). Let n(w) = -w**3 + 2*w**2 + 3*w + 4. Let a be n(f). Solve -2*q + 0*q - k = -9, -24 = -4*q + a*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 6*g + 297. What are the prime factors of 4*((-4275)\/(-28) - 40\/g)?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-9) - 0) + (-8)\/(-72)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 3 = 12*z, 2*h - 5*z - 45 = 0. Calculate the greatest common factor of h and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14772*v - 7395*v - l + 2 - 10 = 7393*v, -3*v - v = -l - 8 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88352 + 16592 = -30*i. What is the least common multiple of i and 36?\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112585643.\nAnswer: 199, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -w - 19*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/10768494 and -19\/41034?\nAnswer: 75379458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iirkibriiekrrbkiki. What is prob of picking 1 i and 1 k?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 336*j**2. Let f(i) = -i. What is z(f(k))?\nAnswer: 336*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4967, 1253, -4937, -13603, -24745, -38363?\n\"Answer: -1238*h**2 + 6205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -50, -70, -90?\n\"Answer: -20*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2850*c = 1671*c + 94941 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23868 by -3.\nAnswer: 7956","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14 + 1 + 11*f - 3*f - 11*f. What is y(-11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let k(d) = -226355*d**2. What is o(k(f))?\nAnswer: -153709758075*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 156413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2050.938 and -733.3122?\nAnswer: 2784.2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -335 + 339. Sort 3\/4, c, -68 in ascending order.\nAnswer: -68, 3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuuuuuuuuul. Give prob of sequence uluu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8360 is divided by 123?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a + 2. Suppose -a*c = -4*c - 1. Let r = 0.1 - 0.2. Is r > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + 1 + sqrt(153) + 5 + -5.\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j + 45*j = -23*p + 26240, -4*p = -3*j - 4548. Does 76 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -9. Let l be 6*h*4\/8. List the prime factors of (l\/(-2))\/(18\/(-48)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (589\/2)\/((-2)\/(-12)) + -3. Suppose 56 = 52*u - m. Calculate the highest common factor of u and 560.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -161.2. Let o = r + 0.2. Which is the second smallest value? (a) o (b) -2\/15 (c) 2 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2299)*4)**2 + sqrt(2299))*5 + (3*-6*(sqrt(2299) - (-1 + sqrt(2299))))**2.\nAnswer: 55*sqrt(19) + 184249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 82896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3 = -2*l - 0*r, 0 = 3*l - 3*r + 3. Let t be ((-3)\/l)\/(8\/48). Let y be ((-8)\/(-6))\/(6\/t). Solve 0*u + 10 = y*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*q + 58 = -q, -3*a - 4*q + 22 = 0. Solve f + f = a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/4789598 and 67\/38752202?\nAnswer: 426274222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 667 + -662. Let a(k) = 9*k - 2. Let u be a(3). Solve q*x = -0*x - u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -23*f - 11. Let r(x) = 4*x + 2. Determine 6*d(m) + 34*r(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -11*p**3. Suppose 2*a - 44 = -x, -x + 156 = 3*x - 2*a. Suppose -11*t - 227 + x = 0. Let l(k) = 32*k**3. Give t*v(f) - 6*l(f).\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3851 or 3853?\nAnswer: 3851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 12*o - 1727. Give q(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 122\/14 + 2\/7. Suppose 14*j = 18*j - 36. Is v less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 + 2.03. Sort 0.4, f, -2\/9 in descending order.\nAnswer: f, 0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 6*d - 11*d. What is the third smallest value in 2\/3, -0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzj when four letters picked without replacement from zuzj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 1.6, 0.2, -1\/3, -695?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 3*o)*(0*o**2 + 3*o**2 - 5*o**2).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-3 + (1 + 0)*-1). Suppose 0 = -i + 2*i + 3. Let v = i + t. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 382, 570, 758, 946, 1134?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 3*a + 2. Let f be j(3). Let w be 8\/6*3\/f. Suppose -d = -3*d + w. Solve 3 = y - d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 16817*q + 3*q**4 - 16819*q + 50*q**2 + q**3 - 58*q**2 as i + z*q**2 + o*q**4 + j*q + b*q**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 10*k**2 + k + 6. Calculate the smallest common multiple of l(3) and 33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 42 = -o - 49, 3*o = -4*s + 36 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235433315 by 47086663.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -1 - (-548)\/36.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32a6 (base 16) in base 6?\nAnswer: -140010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 2. Let z be c(-2). Suppose j + z*j = 0. Let p be (1 + j + -2)*-4. Solve 28 = -0*n - p*n - 4*v, -9 = 3*n - v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 51. Let s = -29 + r. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 179*o + 7477. Give n(-43).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. What is the second derivative of q + q - o*q**5 + 2*q wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1999*b**3 - 5988*b**3 + 1999*b**3 + 1992*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a + 2*a)*(a**3 - 2*a**3 - a**3) - a**4 - 19*a**3 + 19*a**3 + 12*a.\nAnswer: -3*a**4 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1445 divide 775272533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*d)*(29 - 52 + 30)*(0 + 0 + 3*d**4).\nAnswer: -42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108148 is divided by 3862?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1127 - -659. Let x be k\/(-91) + 1\/(-7). Solve 4*f + 8 = 7*f - 5*z, x*f - 8 = 3*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -229.55 - -0.55. Let o = x + 228. Is o >= -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (80\/(-12) - 3)*3\/(-1). Suppose -26*r - 474 = -a*r. Suppose -r = -13*q - 2. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/(-118) + (-44)\/(-8) - -7) + -97?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 24, 28, 32, 36, 40?\n\"Answer: 4*w + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 8:36 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8. Let z(k) = -6*k - 4. Let m be z(a). Suppose 3 + 23 = 4*x - 5*n, -4 = -2*x - m*n. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**8\/r*r*r**(-1\/9)\/r)**(1\/87))**13)**(2\/31) assuming r is positive.\nAnswer: r**(52\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24646 divided by 2?\nAnswer: 12323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36181\/8 - 4523. What is the second biggest value in 8.12, -1\/11, j?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in -0.5, -0.12, -1\/3, 0, 0.5, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 124005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3\/5, 10, 2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9115 is divided by 242.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 68. Suppose 0*g + 2*g = -2*b + 18, 3*g = 4*b - w. Solve -r - 3*v = 2, -5*v = -3*r + 12 + b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22129 times -10?\nAnswer: -221290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxsxsaxrssrxws. Give prob of sequence swsr.\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + v = -235, -y - 2*v = -4*y + 705. Let d = -114 + y. Let g = d - -19. What is g rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 9\/2*d**2 + 8\/5*d**5 + 0*d**3 + 0*d**4 + 0*d + 5. Find the second derivative of t(b) wrt b.\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 13*d - 6*d - 7*d. Let i(a) = 16*a**2. What is q(i(l))?\nAnswer: -512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 3*o + 456. What are the prime factors of d(0)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.38859 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + -11 + 1*4. Suppose g - x = -4*g + 261, -x + 110 = i*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 - 4*j + 4. Let s be t(-2). Suppose -3*z + 8*z = 20, 414 = 2*u - s*z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -74*q + 3026. Give o(40).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 - 10*d**2 - 12*d - 86. Determine j(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -115, -242, -387, -550?\n\"Answer: -9*j**2 - 100*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9*w + 4*p = -26, -5*w = 4*p - 34. Let u = w - 4. Suppose -52 = -u*m - 0*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 378562 + -190739. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 460631 > 460635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37362.3565 rounded to the nearest integer?\nAnswer: -37362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o. Suppose 2 = 13*l + 2. Let k(z) be the first derivative of l*z**2 - 1\/3*z**3 + 0*z + 1. Give k(g(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 125*a**3 + 230*a**2 - 126*a**3 - 230*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -57*x + 85. What is the remainder when k(-4) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10*1 - -1 - 0. Let i be 20\/(-4)*(-2)\/5. Suppose l - i = -l. Calculate the greatest common factor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 5 - 4) + 2 - (493 - 408)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -43.\nAnswer: 13\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16143 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 7*f**2 - 7*f - 1. Let x = 271 + -257. Suppose x*h = 489 + 71. Calculate the remainder when h is divided by p(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 841 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -848, -1696, -2544, -3392, -4240, -5088?\nAnswer: -5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 324?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 52.49266 minutes?\nAnswer: 3149559600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 98. Is 11 a factor of m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -116, -2\/3, -0.2, 2, 0.2, -62 in ascending order.\nAnswer: -116, -62, -2\/3, -0.2, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13220 (base 11) in base 8?\nAnswer: -44722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3222 or -38671\/12?\nAnswer: -38671\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-3)*-3*(-3 + 2). Suppose 3*l + m*l - 9933 = 0. Suppose l = o + 112. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2001*o**2 + 2*o - 1. Let y be a(1). Calculate the greatest common factor of y and 308.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 1 - 1 + 9 - 8*x. Let z be t(-9). What is the third derivative of 0*a**6 + z*a**6 - a**2 - a**6 wrt a?\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*s. Let z(i) = 3*i**2 - i + 2. Let d(j) = -16729*j + 16729*j + j**2. What is s*z(l) + 2*d(l)?\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4662444578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*l = 38*l - t - 30, -2*l + 3*t = 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -289, -3, 3, 2 in descending order.\nAnswer: 3, 2, -3, -96, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -6. Let h(o) = -4*o**3 + 11*o**2 + 4*o - 5. Let n(a) = 3*a**3 - 10*a**2 - 3*a + 3. Let z(i) = -2*h(i) - 3*n(i). Is 19 a factor of z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.24 - -0.24. Let r = 70.75 + -71.75. What is the closest to 0.2 in t, r, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 445*(-3 - 84\/(-20)). Let p = o + -361. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740 divided by 370?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 20 = 0. Suppose -4*t - 5*h = -2*t + 25, 3*t + 2*h + 21 = 0. Put u, t, -1 in ascending order.\nAnswer: t, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {c: 9, f: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:22 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 - 10. What are the prime factors of l?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3905 (c) -3187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 12, x: 5, m: 1}. What is prob of sequence oj?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 142 = -4*r. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 7*r**3 - 3*r**3 - 6*r**3 to o*r**3 + h*r**2 + s + p*r and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2403*k**2 - 24 - 2422*k**2 + 21*k - 4*k**3 + 0*k**3 + 3*k**3 - 2*k. Calculate r(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376332788?\nAnswer: 2, 13, 7237169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -6722 (c) -2\/7 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*q - 2*q**4 + 104*q + 57*q**3 + 18*q**4 - 55*q**3 + q**2 - 11 as m*q**4 + f + c*q**3 + r*q**2 + n*q and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 16, 1\/5, -19?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189269*y**2 - 51553 wrt y.\nAnswer: 378538*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42fb1 (base 16) to base 14\nAnswer: 71da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9)*(-3)\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50789, -203324, -457547, -813458, -1271057?\nAnswer: -1830344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/2*(-2 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.4 + -11.4. Let t = 8 + 16. Let v = t - 24.04. Which is the nearest to v? (a) -2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 0*w + 1\/45*w**5 + 0 - 1\/9*w**3 - 1\/90*w**6 + 1\/36*w**4 + 1\/504*w**8 - 3*w**2 - 1\/315*w**7. What is k in q(k) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22602, -44559, -66516?\nAnswer: -88473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146937.9998 + -146911. Let j = -46 + 19. Let t = j + a. What is t rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 11 + 2*s**2 - 10 + 0*s**2 to j*s + b + c*s**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18593101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 4293552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p - 32037733 - 82265467 = 0. What is p rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.26149t to grams.\nAnswer: 58261490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(891) + sqrt(891)*4 + 2 + 2 + 1*sqrt(891)*4*1)**2)*4.\nAnswer: 2592*sqrt(11) + 288732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 - 102*w - 12 + 104*w to the form z + b*w and give z.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -6*j + 7*j + 3, 24 = -5*j + r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364013 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 688*v\/3 - 230.\nAnswer: 2*(v - 1)*(v + 345)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 2*v**4 + 0*v**4 - 44*v**2 + 3*v**4 + 9*v**3 + 44*v**2 + (-2*v + 0*v + 0*v)*(0*v**3 + 4*v**3 - 2*v**3) + 4*v**4 - 7*v**4 + v**4.\nAnswer: -7*v**4 + 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*d**2 + d**2 - 3 + 4*d**2)*(0 - 2 + 5) + (4*d + 7 - 7)*(0*d + d + d) in the form j*d**2 + g + f*d and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 93. Let m(o) = o**2 - p*o + 4 + 56*o - 30*o. Let u be m(3). Solve 0 = -4*l - 3*c + 4, 4*l + 5*c = u + 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 279 - 274. Suppose -m*d - 14 = -79. Solve 2*x - 9 = 3*h, -3*h + h = x + d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7788*f - 14069*f - 13700*f + 2551*f.\nAnswer: -33006*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 6*y + 73 - 79 + 16*y**2. What is the tens digit of a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*n - 944, -4*n - 708 = -3*g + n. Suppose 6*f - g = 2*f. Calculate the least common multiple of 3 and f.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -23 - 4\/(12\/(-9)). Let h = i + 50. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -4*i - 9, i - 13 = -3*y. Let p = 7 - y. Suppose w + w - 6 = 0, -p*a + 213 = -w. Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (20 - 0) - (-7 + 24)) + -5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -296*s**7\/7 + 14*s**3\/3 - 6*s - 127. What is the third derivative of d(c) wrt c?\nAnswer: -35520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = z, 0*g = -g + 5*z + 18. Suppose 3*b = -g*l + 27, 7 = 3*b + 2*l - 16. Let p be -2 - (-5 - 3\/(-3)). Put b, -3, p in descending order.\nAnswer: b, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23.6 (b) -1\/5 (c) -0.3 (d) -14 (e) -1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(30\/6))\/((-4)\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14\/3 + 78\/(-13))*(-54)\/24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-5\/6))\/u)**(-3\/11)\/((u**(19\/2)*u)\/(u\/(u\/u**(7\/4)))) assuming u is positive.\nAnswer: u**(-375\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + x**4 + 2 + x**4)*(-1 - 1 + 4) to the form j*x + a*x**3 + r + p*x**2 + v*x**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 0.5, 3\/8, -44, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.386 or -8?\nAnswer: 0.386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -43 times 113777\nAnswer: -4892411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13740 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:33 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c6 - 0?\nAnswer: 6c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -477 + 637. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 - 1 = 0. Suppose 2*o = 45 - r. Let s(z) = z**2 + 6*z + 18. Calculate the least common multiple of s(-6) and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -927444 divided by 12?\nAnswer: -77287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 9*k + 14*k + 73 - 2*k + 14*k.\nAnswer: 17*k + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/25)\/j**13*(j**(2\/51)\/j)\/j**1)**(13\/4) assuming j is positive.\nAnswer: j**(-249301\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f*f**(-1\/3)*f\/(f\/(f*(((f*f*f\/(f\/f**9)*f*f)\/f*f*f)\/f)\/f*f*f))*(f*(f*f**(-6\/23))\/f*f)\/(f\/(f**9*f)) assuming f is positive.\nAnswer: f**(1960\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 115, 176, 241?\n\"Answer: 2*t**2 + 51*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 1b?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 330*x**3 - 13847*x**3 - x**2.\nAnswer: -14177*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8842220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 8*b**3 - 17*b**2 - 10*b = 0. Calculate b.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 8*n**2 - n**2 - 3*n**2 - 6*n + 7*n**2 - 10*n**2. Let l(m) = -2*m. What is o(l(q))?\nAnswer: 4*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 4:00 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mimp when four letters picked without replacement from {i: 7, p: 1, t: 4, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -0.1, -155.2 in decreasing order.\nAnswer: 0, -0.1, -5, -155.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 - 148. Solve 4*h = 2*h - l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3 + 3*p**2 + 86*p + 352. Give i(-4).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47761 is divided by 11937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 9.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 340112, 340111, 340110, 340109, 340108?\n\"Answer: -q + 340113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22660181?\nAnswer: 22660181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9528*p = -9575*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-170))\/((-22)\/(-55)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22223, -44311, -66269, -88097, -109795?\n\"Answer: 65*c**2 - 22283*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = -5*n + 70, -2*a = 0. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20124 + 843 = 331*o + 457*o + 17755 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37523, 38063, 38963, 40223, 41843, 43823?\nAnswer: 46163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62491?\nAnswer: 11, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 12*i - 4. What is the tens digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - 5.16. Let z = 6 + r. Let g = 14 - 9. Put z, 2\/15, g in increasing order.\nAnswer: 2\/15, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -l + 6*l. Suppose 4*k + 6*v - 16 = 2*v, l*k - v = 6. Suppose -3*d - k*d = -15. Solve m = -3*p + 14, -m = -5*p - d*m + 25 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 33. What is the greatest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + 0*l + 6*l**3 - 4*l - l. Let q(h) = 5*h**3 - 2*h**2 + h. Let v be q(1). Let g(c) = -5*c**3 + 4*c**2 + 4*c. Calculate v*r(f) + 5*g(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/13 + 963*(-73)\/(-59787)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/121184 and 33\/13312?\nAnswer: 50412544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132 - -130) + (-1 - (-1 + -5)) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**5\/20 - 5*p**4\/12 - p**3\/3 - 2*p**2 + 9*p. Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-25) - -9)\/((-14)\/10)*(-43407)\/689\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12644 (b) 0.04 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 + 534*l**4 + 51791*l**3 + 509316*l**2 + 458060*l = 0?\nAnswer: -74, -10, -1, 0, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/(-200) + 3\/(-24). Let n = 6.97 + 0.03. Put -4\/7, i, -1\/7, n in increasing order.\nAnswer: -4\/7, i, -1\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21913.561 rounded to the nearest 100?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + 5651?\nAnswer: 5641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 577277213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*p + 3*y, -5*y = 5*p - 0*p + 10. Let d be p\/18 - (-5)\/(-6). Which is the nearest to 1? (a) d (b) -1\/5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.42511 and 0.02?\nAnswer: 0.1685022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 17, 17, 19?\n\"Answer: j**2 - 5*j + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 304. What is the highest common factor of 34 and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3111391 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: Which is the fourth smallest value? (a) 1 (b) -1 (c) 110 (d) -3 (e) 11 (f) 54 (g) 3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6 (b) 0.11 (c) 3\/545 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, j: 5, s: 2, z: 4}. What is prob of sequence szzz?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i + 5*s + 7, 3*i - 3*s + 12 = 0. Let h = i - -3. Does 15 divide 34 + (h - -3)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/6)\/((63\/(-945))\/((-3)\/(-15)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.2 times -515863?\nAnswer: 17642514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32664480 and 272204?\nAnswer: 32664480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1 (c) 3\/16 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245756 is divided by 40957.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8934.064 millimeters to nanometers.\nAnswer: 8934064000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968365873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9 = 3*c, 5*x + 7 + 12 = -3*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 259408*n**3 + 4 - 1 - 116742*n**3.\nAnswer: -376150*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2255 + -2204. What is the least common multiple of f and 2\/(-16) + 1299\/24?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 5, -0.28, -3, 4, 0.07 in increasing order.\nAnswer: -3, -0.28, 0.07, 1\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.03, 1, 2\/35, 1\/60?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -616 by 28.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 440303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114173\/31746 + 8\/1443. Let a = -308294511015\/1823430928 + -6\/10360403. Let t = a + 1910\/11. Calculate the common denominator of t and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359530 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m**2 - m. Let a(g) = g**3 + 4*g**2 - 5*g + 1. Let z be a(-4). Let j = z + -20. Give p(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/9)\/(-156)*(-12)\/(-18)*-6\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 5. Let g be 14*(132\/1001 + (-6)\/(-39)). Suppose i = g*r - 37, -2*i + 3*i - 13 = -r. Which is the closest to 1\/2? (a) 4 (b) r (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + o - 140 + 133, -15*o = -j + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let o be i(-2). Let v = o - -2. Factor 5 + 2*y**3 - v.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 41, 80, 105, 110, 89?\n\"Answer: -x**3 - x**2 + 49*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.079 - 0.061. Which is the biggest value? (a) 4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + -951aa?\nAnswer: -95190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/80 of a century?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5\/7 - 196004*x**4\/7 + 2400803980*x**3\/7 + 7203588004*x**2\/7 + 7203980032*x\/7 + 2401392016\/7 = 0.\nAnswer: -1, 24502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24957231683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24775074 divided by -2?\nAnswer: -12387537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a hour?\nAnswer: 3240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 32 - (-62 - -78).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665.36 take away 291495075.8?\nAnswer: -291494410.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 129 = -a + h, -a + 39 = 2*h. Calculate the remainder when a is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8e (base 16) to base 8.\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15485 less than 15480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -118116630.\nAnswer: -118116634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*n = -2*z - 9, 0 = -3*z + 2*n - 6. What is the first derivative of -2*q**3 + 2*q**3 + z*q**3 - 3*q**4 - 4 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + -35. Suppose 5*t - 161 = -136. Solve -5*x = -4*z - k, 15 = -4*x - t*z - 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1644 - 8218\/5. Which is the closest to 1\/11? (a) 3 (b) -0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 320, 502, 698, 908, 1132?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 48. Let j be b(20). What are the prime factors of -24*44\/j*-2?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - 2*o. Suppose -2*s = 4*i - 14, s + o*s - 21 = -5*i. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 98?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/8 + 0 + 3)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 14\/5168833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmrrm. What is prob of sequence mrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/25*(-80)\/(-16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.810621 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, b: 2}. Give prob of sequence aba.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 2*m = -30, 9*j - 3*m = 4*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 21330 = -97*o. Let v be (-10)\/o*-6 + 542\/9. Let u(b) = 7*b**2 + b - 2. Let w be u(-2). Calculate the greatest common divisor of v and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/45*(-210)\/112*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 25*b - 154 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2740 - -1436?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 6314 - 3*t**4 + t**2 - 3*t - 6315 in the form w*t**4 + i + h*t**2 + x*t + g*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - x**4 + 0*x**3 + x**3 + 3*x + 3*x**4 in the form f*x**3 + k + w*x**4 + q*x + u*x**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w + 14. What is z(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (9 - -5 - (59 - 89))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -109.4 - 580.6. Let q = j + 690.00001797. Round q to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2*p**(-1\/6)*p*p**(3\/2)*p**(-1\/2)*(p*p*p*p\/(p**(-1\/2)\/p)*p*p**(-5\/2))\/(p*p**(-1))**(-40) assuming p is positive.\nAnswer: p**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from judfuduuuudf. Give prob of sequence uud.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (31 + 1))\/91.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1015983\/62715)\/((-3)\/5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 53 (b) 0.26 (c) 7 (d) -19\/140\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 8 = a, -33*d + 32 = a - 38*d. Solve a*x + 68 - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 6*s**2 - 8*s - 4. Let a be w(-7). Suppose 0 = 3*n - g + 2, 3*g - 3 = a*n - 9. Is -3\/5 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4683857621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*w**2 - 22808516798951*w + 22808516798951*w.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnn. What is prob of sequence nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 - 19*a**2 + 2*a**2 - 9*a**2)*(-2*a + 11*a + 5*a).\nAnswer: -294*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)**(-2\/33)\/(u\/u**(-6)*u**(-2\/21)))\/((u**6*u\/u**(6\/11)*u)\/(u\/(u\/(u**(-6)*u))*u*u**(-1\/4))) assuming u is positive.\nAnswer: u**(-51473\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(108) + 3 - (1 + 3 + sqrt(3) + -4).\nAnswer: -7*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1004.22186 + -0.12186. Let m = d + -901. Let s = m - 98. What is s rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000736508 to 7 dps.\nAnswer: 0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 693307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8) - 56\/448.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-18) + 0)*114\/(-4). Let c be (-7)\/(-28) - k*(-3)\/132. What is the second biggest value in c, -1\/3, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/(4\/(-6)). Suppose -3 = 2*r + 3. Let l = n - r. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3 + 6 - 2)*(-3 + 19 + 7).\nAnswer: 69*m + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -474 + 474.5. What is the closest to 1 in 2, s, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/133 - -521\/1995. Let m = 0.07 - -1.33. What is the third smallest value in i, 3, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15556 + -15548. Solve k*m + 158 = 118 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6785.737mg?\nAnswer: 0.006785737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + (-2)\/((-2700)\/9657) and -13\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 1*0\/3. Suppose o*r = -6, -c - r + 5 - 6 = 0. What is the second derivative of 4*x**2 + x**c - 86*x + 83*x wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - -1402212.\nAnswer: 1402212.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6808084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6442 divided by 2?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4709\/2 - 2402. Let q = -185480195 + 394701843513\/2128. Let b = 15\/304 - q. Find the common denominator of b and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 445370310 divided by 49\nAnswer: 9089190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 34*p + 33. Let t be o(16). Let s(f) = -f + 1. Let j(g) = -16*g + 1. Give t*s(v) + j(v).\nAnswer: -17*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/5)*z**(-4\/5))**21 assuming z is positive.\nAnswer: z**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrzy when four letters picked without replacement from {r: 2, z: 7, y: 5}?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.4, 96\/43 in descending order.\nAnswer: 96\/43, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*f - 216*f + 60*f + 83*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -1, 3, 1 in descending order.\nAnswer: 13, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 33*z - 8 = 43*z - 12*z, -44 = -5*x + 4*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 876 + -10a?\nAnswer: 76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3*r - b**3*x**2 + b**2*x - 6101*r*x**2 + 3*x**2 - 145 wrt r?\nAnswer: -b**3 - 6101*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 340928183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 82*p - 215. What is the remainder when 338 is divided by t(3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308068 is divided by 102666.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/3 + (-46)\/44)*4. Let u = -1\/209 - 411\/1463. Put i, 6.8, u in descending order.\nAnswer: 6.8, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -6, -59 in ascending order.\nAnswer: -59, -6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 69.813428 + -0.059428. Let p = 70.8 - u. Let a = p - 1. Round a to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, 0.3, -30, -2.109?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by -28795?\nAnswer: 133\/28795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 252.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**4 - f**2 - 2*f. Let g(t) = 11*t**4 + 6*t**2 + 12*t - 81. Let u(b) = g(b) + 6*w(b). Differentiate u(y) with respect to y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(189)\/(1*(sqrt(7) - sqrt(567) - sqrt(7))) + 3)**2.\nAnswer: -112\/3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**4\/4 + 3*k**2\/2 + 78*k. Let i(z) = 13*z**2 + z - 13. Let q(c) = -2*c - 3. Let d be q(3). Determine d*w(o) - 2*i(o).\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -864 + 2555\/3. Let k = -37 + 27. Find the common denominator of -5*k\/(-12) + 4 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**2 - 16 + 1 + 8 + 3 in the form z + u*d + y*d**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 20 (c) 3 (d) 1120\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 109264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -369 + 176. Let r = m + 217. What is the smallest common multiple of r and 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 14. Let c be f(-16). What is the first derivative of 0*g**3 + c*g**3 - 7*g**3 + 5 - 2 wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzyyouuyoyzz. Give prob of picking 1 y and 1 z.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 337432 divided by 5.\nAnswer: 337432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26138 and 283784.\nAnswer: 1986488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148 + 2*a**3 - 148.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kxzzkxxnxwxxnxzxw. What is prob of picking 1 x and 1 z?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w**2 + 1)*(5*w - 3*w - 5*w) + 0*w**3 + 2*w**3 - w**3 + 13*w**3 + 5*w**3 - 45*w**3.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153 - -153. Do m and -1\/269 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/3 + 60*x**4 + 573*x**3 - 3334*x**2\/3 - 4324*x + 7560 = 0. What is x?\nAnswer: -10, -3, 2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28268, -56535, -84802, -113069, -141336, -169603?\n\"Answer: -28267*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 153\/4 - 75\/2. Let v = 0.377 - 1.377. Which is the nearest to u? (a) v (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-2 + 2) - 0) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-28 - -67) - -66.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 50, 7, -62, -163, -302, -485, -718?\n\"Answer: -b**3 - 4*b**2 - 4*b + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 1, q: 10, s: 4}. Give prob of picking 3 s.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -8*m - 70. Let q(a) = -9*a + 10. Let d be q(m). Let w = 104 - d. Solve 4*b - 5*s - 4 = 0, -4*b - w*s = -0*b - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21819 (base 11) to base 6\nAnswer: -402145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 3*p + 1. Let c(x) = -x**2 + x. Let z(h) = -c(h) - r(h). Let j be z(1). Let f be (8 - 10) + 4\/6*j. Solve 0*y + 4*y = f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -434.0908 + 0.0908. Let u = g - -434.00181. What is u rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = v + 14, 64 = v + 63 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-1\/22)))**(-1\/5))**(3\/22) assuming a is positive.\nAnswer: a**(-3\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 484 = -4*o, -7*t + 4*o - 126 = -8*t. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1830.527 and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 34012034 (base 5) to base 15\nAnswer: 5d364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.7 + -37.6. Let a = y + 23.9. What is the smallest value in -1\/10, a, 2\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 + 8312*m**3 + 91596*m**2 + 324936*m + 375030 = 0.\nAnswer: -5, -3, 4167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1735*v + 0 - 1740*v + v**2 - 2 - v**3 as d*v**2 + o*v + h*v**3 + x and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 24*g - 66. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 5, p: 4, r: 8}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u**2 + 0*u)*(1 - 5 + 6).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 7*y**2 - 12*y + 57. What is the lowest common multiple of 42 and v(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/10 - 2*s**4\/3 + 53*s. Factor f(j).\nAnswer: 2*j**2*(j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**3 + 4 + 2*y**2 - y**3 + y**3 - 4*y**3 as u*y + c + k*y**3 + x*y**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 5288*h + 180964. Give a(34).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 16\/3967?\nAnswer: 16\/3967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -13.27. Let r = -0.03 - s. Let v = 14 - 13. Which is the nearest to v? (a) 1 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.3, -0.06, 2\/7, 39\/22, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 10*l - 714. What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/61)\/b)\/b)\/b*b*b*b**10)\/(b**(-6)*b)**(-42) assuming b is positive.\nAnswer: b**(-12259\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/18*8\/(-6)*(-270)\/1260?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**5\/4 - 174*k**4 + 26381*k**3 + 2727189*k**2\/2 + 48469995*k\/4 + 37988919\/2 = 0.\nAnswer: -31, -9, -2, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**4\/4 + 17*o**3\/4 - 57*o**2\/2 + 23*o + 14 = 0.\nAnswer: -7, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 50, -317*a + 314*a - 115 = -10*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 13*s - 11. Give t(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 d, and 1 q when three letters picked without replacement from {f: 1, q: 1, y: 1, d: 3, w: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51015053 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y + 36 = 2*b + 16*y, 4*b - 85 = 5*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1460 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 575987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4321407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 + 1 - 3*q - 261*q - 5*q**3 to the form y*q**3 + c + b*q**2 + d*q and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 7*j - 83*j - 17 = v, 0 = j - 2*v + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6362972, 12725943, 19088914, 25451885, 31814856?\n\"Answer: 6362971*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 632*b - 5. Let z be o(1). Let p = z - 237. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -6. Let z(w) = -6*w + 31. Let s be z(6). Is s bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 8:58 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6946532 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: Calculate the least common multiple of 718 and 24053.\nAnswer: 48106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 4*c + 14, -3*g + 50 = -5*g + 27*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = 4*u + 68*u + 248 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 equal to -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6548 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1435 * 2.\nAnswer: 2870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10)*-1*2) - (sqrt(28)\/sqrt(4) + -3)**2*5.\nAnswer: -80 + 59*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (8 - -1 - (-6 + 10))) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*q - 2*f, 71 = -q + 2*f + 64 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2245 - -11268\/5. What is the smallest value in -3, -0.2, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 14*w**2 + 3*w. Let m(v) = 55 - v**3 + 58*v + 15*v**2 - 55 - 54*v. Determine -4*g(o) + 3*m(o).\nAnswer: o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -119576003.\nAnswer: -119576007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 458 + 163. Is 205 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 112*f**2 + 4*f + 112 = 0. Calculate f.\nAnswer: -28, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 541*o**2 - 2*o + 1. Let p be (2\/(-4))\/((-1)\/6). Suppose 2 = -h + p*h. Let v be j(h). Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 7. What is the tens digit of n(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 - 3*v**2 + v + 1. Let l(k) = k**2. Let d(g) = f(g) + 2*l(g). Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421443310 (base 5) to base 8\nAnswer: -6531506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -544*h + 545. Give i(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10229, 10239, 10261, 10301, 10365?\n\"Answer: d**3 + 3*d + 10225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*q + 110, -21 + 7 = -o - 5*q. Let h = -27 + o. Solve -7 = -3*k - c, 4*k + h*c + 0 = 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69913 is divided by 451.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -132 - -655. Suppose 3*x - 3 = 0, 2*k - 12*x = -7*x + t. What is the highest common divisor of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -1\/120*w**6 + 5*w**2 - 5\/24*w**4 + 0*w + 0 + 1\/3*w**3 + 1\/15*w**5. Let d(x) = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)\/((-24)\/(-1836)). Let r = b + 150. Let k(n) = -4*n - 1. What is k(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 0.25 (c) 1\/5 (d) 1 (e) 183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - (3 + -1) - (-8 - 4)) + 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - -b?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 238411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-16)\/28) + 54\/126.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (2 + -2) - 2. Suppose 6 = -t*g + 3*g. Suppose 6*p = -5*q + 5*p + 15, -g*p = 0. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m**2 + 18377*m + 55255. Calculate n(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, s: 1, h: 1, a: 2, z: 1}. What is prob of sequence masm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 7. Let f be s(-9). Suppose -u = -4*h + 23, -f*h - 3*u = h - 6. What is the second derivative of -3*w + h*w - w - w**2 wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2247 - 767 = -45*p + 5*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -255356152 - -4?\nAnswer: -255356146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 - 28994281*p**2 + 23*p - 5*p**4 - 1 + 28994281*p**2 to j*p**2 + v*p**3 + g + u*p**4 + i*p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12528 = 13*k - 12476. Let g(q) = q**3 - 4*q**2 + q + 4. Let c be g(3). Sort -6, k, c, 1 in descending order.\nAnswer: 1, c, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 11*m**2 + 2. Let k be x(-11). What is the second derivative of -k*i + 0*i**3 - 3*i - 5*i**3 - i wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -74343329, -3 in descending order.\nAnswer: 2, -3, -74343329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-810)\/25 - 4\/(-10). Let v(f) = -f**3 - 30*f**2 + 62*f - 62. Let i be v(p). Solve 5 + 0 = -5*m, 2*w = i*m + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 73546338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5557, -5558, -5559, -5560, -5561, -5562?\n\"Answer: -r - 5556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3155*f - 15789. Determine y(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-100 - (7 + -20 + -24))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 9 (b) -4 (c) -13\/10 (d) 363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 3)*(-32)\/8. Let b be 4\/n + (-5)\/(-2). Suppose 3*y + 5 = 4*y, y = -b*d + 337. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.6449 millilitres in litres?\nAnswer: 0.9736449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 67, 3, -0.17, 5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, q: 1, p: 1, w: 9}. Give prob of picking 1 q and 1 w.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -221, -420, -651, -926, -1257?\n\"Answer: -2*n**3 + 2*n**2 - 171*n + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119427160*d**3*k**3 + 30*d**2*k**3 - 2*d**2*k**2 - 44*d**2*k + 2*k**3 - 37 wrt d?\nAnswer: 716562960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - (-2*sqrt(102) + sqrt(102)))*6 - sqrt(102)) + sqrt(102))\/(sqrt(6) + sqrt(6)*-2*-5 + sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8*q = 7*q - 24, 0 = -d - 2*q + 12. Find the first derivative of -9*w - d - 15*w + w - 29 wrt w.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 13*w + 12. Suppose 2*f - w = 24. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -51. Let z = -4 - a. Solve 3*f - f - 5*s = -17, -f = -z*s + 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 2 - 2. Suppose 0 = -3*w - 2*u + v + 4, 5*w - 5*u = 30. Let y = 3\/97 + 161\/1067. Sort w, 1, y in ascending order.\nAnswer: y, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -208, -318, -434, -562?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152359.\nAnswer: 151, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by -192.\nAnswer: 53\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -84 (b) 2 (c) -0.3 (d) -3 (e) 9.52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:21 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 4 (b) 0.2 (c) 9\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 77412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 433 = -627. Let s = -97 - y. Let p = s - 108. What is the highest common factor of p and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 1\/30*k**6 + 0*k**4 + 0*k**3 + 0*k**5 - 2\/105*k**7 + 0 + k**2 + 0*k. Let h(q) = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -301? (a) -3\/7 (b) -3 (c) 0.4 (d) -1550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 370, 2502, 6050, 11014, 17394, 25190?\nAnswer: 34402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**4 + 7*t**3 + t**2 - 12*t + 12. Let l(f) = -3*f**4 - 6*f**3 + 12*f - 11. Let p(m) = 3*l(m) + 2*n(m). Factor p(q).\nAnswer: -(q - 1)**2*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6 + 14 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 33 - s**2 + 12*s + 2*s**2 + s**2. Let q be u(-15). Calculate the greatest common divisor of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:02 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1847391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.5 - -34.5. Let y = 30.00225 - c. What is y rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351389 and 1073?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 16*h**4 - 4*h**3 - 16*h**2.\nAnswer: 4*h**2*(h - 1)*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 32 = 3*v, -f = -4*v - 1 - 4. Suppose 5*m - 2*b - 19 = -6*b, 1 = b. Solve f = 2*l + m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - 22) + (288 - 281).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -786601 divided by 5659\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 6738*c - 164*c**3 - 6738*c)*(1 + 0 + 1)*(-2 - 3 + 4).\nAnswer: 328*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 79*q**2 - 1301*q - 87. What is n(93)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 35, -10, -8, -5.\nAnswer: -10, -8, -5, 5, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77594.4 nanometers to micrometers.\nAnswer: 77.5944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x**2 - 5*x**2 + x**2)*(5*x - 3*x + x) - 99*x**3 + 201*x**3 - 100*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l**3\/2 + 51*l**2\/2 + 42*l + 10 = 0. Calculate l.\nAnswer: -5, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(220\/(-30))*(-8)\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 8*b + 4*i - 31, 5*i = 5*b + 30. Let w(c) = c**3 + 6*c**2 - 18*c - 5. What are the prime factors of w(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4159 and 1?\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + p**2 - 3*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6999, 6979, 6935, 6861, 6751, 6599, 6399?\n\"Answer: -z**3 - 6*z**2 + 5*z + 7001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4341237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - 23) + 52 - (-3 + -22)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -777 - -306. Let i = w + 731. Is (12\/(-5))\/((-8)\/i) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**26*((w*(w\/w**(-2\/21))\/w)\/w)\/w)\/(w\/(w\/w**(-1\/8))*w**(-23)))**(-1\/16) assuming w is positive.\nAnswer: w**(-8101\/2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2208 and 96?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4300 = -667133*l + 666961*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 4. Let h(l) = -l**3 + 4*l**2 - 3*l + 4. Let c be h(3). Suppose -c*r = -4 + 24. Let u(y) = 0*y + 6 - 3*y - 8 + y. What is r*u(t) + 3*g(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**4\/7 + 1872*i**3\/7 - 414720*i**2\/7 - 11059200*i\/7 = 0. Calculate i.\nAnswer: -24, 0, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 74516 + 19?\nAnswer: 74535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3*b = -43, 5*b - 4*b = 3. Suppose -3*y - 5*c + 115 = 17, -5*c + 62 = 2*y. What is the remainder when y is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2646 - -2645.5. What is the biggest value in 4, -10, -2\/13, c, -1.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - -7. Let d(s) = s + 5 + 0*s + 8 - 3. What is the least common multiple of l and d(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2. Let n(d) be the second derivative of d**6\/10 + d**3\/3 + 7*d**2\/2 + 43*d. Let r(j) be the second derivative of n(j). Give r(f(y)).\nAnswer: 324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 11, o: 5}. What is prob of picking 2 o?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r - 77. Let c be o(-10). Let p(t) = 5*t**3 - 3*t - 4. Let n(k) = 11*k**3 - 7*k - 8. Determine c*n(f) - 7*p(f).\nAnswer: -2*f**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 14. Determine k(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qosussuoosquqouoo. What is prob of picking 2 q and 2 o?\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -251600, -503253, -754918, -1006601, -1258308, -1510045, -1761818?\n\"Answer: -g**3 - 251646*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -16, -24, -34, -46, -60?\n\"Answer: -h**2 - 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*f - 10 = 0, -6*f + 3*f = 4*i - 6. Suppose i + 1\/3*x**3 - x - 2\/3*x**2 = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -1.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1155*n + 169. Let x(a) = a + 5. Let o(w) = l(w) + 6*x(w). Find the first derivative of o(r) wrt r.\nAnswer: 1161","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l\/l**(-3))\/l)*l)**(-6))**(-11) assuming l is positive.\nAnswer: l**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 190589 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 - 8*a - 6. Calculate the least common multiple of p(5) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 24 = -7*p. Suppose -255 = -5*t - 5*m + 325, 0 = t + p*m - 120. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*c**2 + 0 + 2\/3*c.\nAnswer: 2*c*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-2)*(-20)\/24. Let d be 1\/v - 68\/(-85). What is the closest to d in -4, -2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43669 + 567699\/13. Which is the fourth smallest value? (a) t (b) 0.5 (c) 3 (d) 77\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*g + 29. Suppose 5*m - 15 = -5*w, 0 = -0*w + 3*w - 4*m + g. Let v(y) = -y**2 - 11. Determine v(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q - 3 - 57*q + 3.\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.987 + -2.581. Let k = 1.9 + -1.806. Let y = k + n. Which is the smallest value? (a) y (b) 2\/9 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169\/410 - -1\/82. Suppose -54*p - 5*p = 177. What is the third smallest value in p, 3\/4, 8\/5, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 - 15*r + 12. Does 42 divide b(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 1c?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 59 - 36 = -5*u, -135 = -5*u - 3*v. Let c = -11 + u. Suppose 4*b - 11 - 9 = 0. Calculate the remainder when c is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1070*i**3 - 2*i**2 + 4*i + 2. Let z(x) = -1068*x**3 - 3*x**2 + 6*x + 4. Calculate -3*j(o) + 2*z(o).\nAnswer: 1074*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -26*s - 29 + 1 + 21*s. Let h be u(-6). Solve k = h*k + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ukkulkhlkuklukuaa. What is prob of sequence lkul?\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkk when four letters picked without replacement from kkknkkkkkkkkknnknkkk?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, a: 1, k: 3, t: 1, e: 5}. Give prob of picking 1 a and 2 k.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 13*v**5\/60 + 26*v**2 + 2*v + 28. Let q(p) be the first derivative of h(p). Let m(g) = -5*g. Give q(m(u)).\nAnswer: 325*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 13 + (-7 - 1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2 - 1) + 62\/465 + 89012\/660.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a hour in minutes?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81081479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/10295 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 97800158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 37881?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 44 = 2*x, 4*x + f = 80 - 12. Factor 57*z**3 - x*z**2 + 8*z**4 + 7*z**3 - 36*z**4.\nAnswer: -4*z**2*(z - 2)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -75, -174, -313, -492, -711, -970?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -0*l. Let p(t) = 144*t - 1. Is p(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 20 = 168. Let p be 2\/((-24)\/20)*3 - 10. Let x(h) = -h**3 - 15*h**2 - 7*h - 98. What is the remainder when d is divided by x(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*w - 2005 - 4793 = 3190 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/23 and -68\/775905.\nAnswer: 775905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4)*c*c*(c*c\/((c*(c*(c*c**(-3\/4)*c)\/c)\/c*c)\/c))\/c*c)**(-1\/8))**36 assuming c is positive.\nAnswer: c**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 9 + 8. Let j be -5*g\/3*-3. What is the second derivative of j*o + 12*o**2 - 14*o - 5*o wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 998, 1362, 1968, 2816, 3906, 5238, 6812?\n\"Answer: 121*l**2 + l + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 124*i + 10*i**2 - i**3 - 145*i - 10 + i**2. Let w be v(9). Let y = w - -53. Calculate the greatest common divisor of y and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**3 + 7*x**2 + 11*x - 11. Let o(d) = -2*d**3 + 4*d**2 + 6*d - 6. Give -6*a(u) + 11*o(u).\nAnswer: 2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glfyjyfyy. What is prob of sequence fg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -1 - 7) + -4 + 8 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 18 - 50. Let t(a) = -a**3 + 18*a**2 - 19*a - 12. What is the tens digit of t(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -3886260904792.7.\nAnswer: -3886260904789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -0*c - 3*c - 5*g - 3, -4*c = 3*g - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 0 - 6 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29 + ((-25)\/4 - 15\/(-60)). Solve 0 = -3*q - 5*u + 4 - 29, -r = 3*q + 4*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.247831602 to 4 dps.\nAnswer: -15.2478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:44 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 64094 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2258 = 3*s, 4*g - s + 2250 = 6*g. List the prime factors of g.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -7*t + 3*t**2 - 8 - 2 + 5. Let y = 24 + -31. Is x(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 27612.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 20*v - 9. Determine b(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 46*h + 112, -21*k + 17*k - 64 = 5*h - 38 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*r + 908*r + 194 - 229*r - 220*r - 227*r to p + v*r and give p.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 7*j - 229. Let z(b) = 14*b - 560. Let g(h) = 10*v(h) - 4*z(h). What is g(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1425, -2849, -4273, -5697, -7121, -8545?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 434 - 211 + 0*s - 219 - 5*s. Suppose 2*a - 5 = -3, -5*a = -k. What is c(k)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36 - -34)\/(5\/(45\/(-18))). Sort 0, 8, -34, o in decreasing order.\nAnswer: 8, o, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18630)\/(-575) - (-64)\/(-10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 15218.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/4)\/(7\/(112\/(-99))). Let o = v - 49\/132. Let w = -0.1 + 0.1. What is the nearest to o in -3, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 i, and 1 y when four letters picked without replacement from ziizbyi?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -45*l**3 + 35*l + 35. Let c(p) be the first derivative of 5*p**4\/4 - 2*p**2 - 4*p - 112. Give 35*c(g) + 4*z(g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -1\/32, -1, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - j - 16 = 0, -5*v - 8 = 3*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18239995?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 525 - 4730\/9. Let v = m - -20\/9. Find u such that 2\/3*u**3 + v*u**2 + 1\/3 + 4\/3*u = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 - 2 - 3*r**2 + 0*r + r. Suppose a - 4*m = -m + 8, a = -m. What are the prime factors of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3 + -3*2*(sqrt(68) + sqrt(68) + 1 + sqrt(68) - sqrt(68)))*-2*2)**2.\nAnswer: 1536*sqrt(17) + 156736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 10 = -0*t. Let v = t - 0. Suppose 2*p = 3*s + 40, v*p + 1 = -3*s + 80. Solve 4*f + 5 = p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5214*f**2 + 2320.\nAnswer: 10428*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.0343 (b) 25 (c) 3 (d) 0 (e) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**2 + 1\/6*b**3 - 1\/12*b**4 + 0 - 8*b. Let u(p) = -8*p**2 + 10*p. What is 10*g(j) - u(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gww when three letters picked without replacement from jgwggwgwbggbju.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g. Suppose i + 0 = -4*q + 1, 0 = 3*q + 3*i - 12. Let a(p) = -p**2 - 1. Calculate q*a(k) + h(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 13 = -2*f - 0*f, f - 3*q = -11. Find the third derivative of -2139*z + 2145*z + z**2 + 42*z**3 + f*z**2 wrt z.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) + (-57)\/(-21). Let c(v) = -r + 3 + 2*v. Let z(s) = -2*s**2 - 2*s**2 + 5*s**2. What is c(z(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1498.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331691 divided by -6.\nAnswer: -331691\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 23 = 3*j + 2, 3*m - 25 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 2. Suppose -9*v = -4*v. Let s(d) = d**2 + v*d**2 + d + d**2 - d**2. Give -s(y) + t(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1175960 and -4?\nAnswer: 4703840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 477 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 33, 54, 95, 162, 261, 398, 579?\n\"Answer: k**3 + k**2 - 3*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 0, 4, -0.5, -2\/511, 129, 1082?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 0. Let t(v) = 3*v - 3. Let o(u) be the second derivative of -2*u**3\/3 + 3*u**2\/2 + u. Let c(x) = i*o(x) - 5*t(x). Calculate c(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*x + 39. Let y(h) = 6*h**x - 4*h**2 + 0*h - 9*h + 4*h. Let s(o) = -2*o. Calculate s(y(i)).\nAnswer: -4*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 7 - (3 + -1499 + -7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -1\/20*w**5 - 1\/8*w**4 + 0*w - 3*w**2 + w**3 + 0. Let y(o) = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*y + y. Let w = -3 - -2.5. Let k = 0.4 + -2.4. Which is the closest to y? (a) k (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*n - 261 = 3501 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z - 35. Let r be l(-16). Solve 7*u - r = -1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/11 + 134*t\/11 - 276\/11 = 0. What is t?\nAnswer: -69, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10830\/9709 - ((-1038)\/1903 + 260\/154).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682 or 1?\nAnswer: -682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -11, -141, -331, -581?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**4\/24 - 2*y**3\/3 - 3*y**2. Let z be i(8). Suppose -a = -k - 3, -31 = -4*a - k - z. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*h - 108, 0 = 2*g + 5*h - 20 - 59. Suppose g - 172 = -27*c. Solve c*a - 4*z = -17, 3*z = 3*a - 6*a + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -4*w + 4*r, -3*w - 5028*r - 84 = -5025*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3088\/15 - -206. Suppose 180*u = 177*u + 2*w + 15, -5*u + w + 11 = 0. Which is the closest to u? (a) n (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 224*r - 278*r. Let d(j) = 22*j**3 + 10*j. Let p(t) = -t. Determine r*d(q) + 10*p(q).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4982447 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64762 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b**2 + b - 6. Let a be c(6). Let f be (-2*(-1 - -2))\/((-28)\/2016). Suppose -5*j = -j - f. Calculate the greatest common factor of j and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 14*c**2 + 8*c + 1. Let q be n(-15). Suppose q = 4*o - 210. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -5189 (c) -0.3 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3 + 7764*x**2 + 2595*x - 5178.\nAnswer: -3*(x - 863)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-46)\/(-4))\/((-95)\/94 + 1). Let a = r - -1637. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-8983027\nAnswer: -8983023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6 + 4*m**3*o**2 + 59938*m**3*o - 3*m**2*o**2 + 2110805*m**2*o wrt m?\nAnswer: 360*m**3 + 24*o**2 + 359628*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2163350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - (1*sqrt(1008)*-3)**2) + ((1 + sqrt(1008))*-4)**2 + 1)*2.\nAnswer: 792*sqrt(7) + 14146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014561524 rounded to six dps?\nAnswer: 0.001456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 18\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) 1 (c) 755 (d) -3\/17 (e) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103225.\nAnswer: 5, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 213538880 to the power of 1\/2, to the nearest integer?\nAnswer: 14613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2899, 5, 46, 1, 6, 4, -2 in descending order.\nAnswer: 46, 6, 5, 4, 1, -2, -2899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -633 + 628. Let j be (-9)\/w*((-30)\/(-9) - 2). Factor j*k - 4\/5*k**2 - 8\/5.\nAnswer: -4*(k - 2)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qhhh when four letters picked without replacement from {q: 4, h: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3*q**2 + 153*p**3*q*r - p*r - 5*p - 2*q**2*r - 3*q wrt p.\nAnswer: 12*p*q**2 + 918*p*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231323 (base 4) to base 14.\nAnswer: 10dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14986*m**2 - 252*m + 251. What is the hundreds digit of o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162078?\nAnswer: 2, 3, 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 45, -5, -1, 0, -2, 87 in ascending order.\nAnswer: -5, -2, -1, 0, 12, 45, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217830 is divided by 6406.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2264994207.\nAnswer: 3, 7, 23, 1563143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from slsvossvsolsossovs.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18465 divided by -3693?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-2*p + p + 2*p) + (-8 - 4*p + 8)*(-185 - 177 + 356).\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/296970 and 131\/192?\nAnswer: 9503040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/3 (c) -3\/2 (d) -1669 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 1. Let g(c) = 5 - 4*c + 1 + c**2 - 8 - c. Let f be g(5). What is x(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 - 5*m**2 - m**3 + (-39 - 70 - 105)*(2*m**3 - 3*m**3 - 6*m**3).\nAnswer: 1497*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**3\/3 - 108608*c**2\/3 + 434360*c - 1303008 = 0. What is c?\nAnswer: 6, 54292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42 + (-15)\/(-5))\/(-3). Calculate the highest common divisor of 169 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.206552nm in centimeters?\nAnswer: 0.0000003206552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 347724119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -45*l**3 + l**2 - 1. Let y be g(1). Suppose 3*w + 3010 = 17*w. Let f = w + y. List the prime factors of f.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(38)\/sqrt(32))**2.\nAnswer: 35\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 407 + -1217\/3. Let p be ((-2)\/(-5) - 0)*1. Which is the second biggest value? (a) i (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 38?\nAnswer: 35\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, z: 6, w: 3, q: 1}. Give prob of sequence lzqz.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**4 + 21*c**3 + 8*c**2 + 5. Let j(m) = -4*m**4 - 4*m**2 - 10*m**3 - 6 + 4 + 2*m**4. Let k(z) = 5*j(z) + 2*p(z). Let k(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 43*v + 42*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -19*h**2 - 3*h - 1. What is a(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + 99\/(-12). Let v = b - -13. Suppose v*l - 4*u - 118 = 0, -l + 0*l - 5*u = -12. What is the remainder when l is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -85*p**2 - 18313*p - 36630. Calculate m(-2).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136444 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28\/5*u + 50\/3*u**2 + 0 - 114\/5*u**3 + 8\/15*u**4 = 0 for u.\nAnswer: -1\/4, 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-4))\/(9\/(-6)). Suppose -4*i = -o*u - 89, -5*i = 4*u - 0*u + 63. Let d = -14 - u. Solve -2*v + 10 = x + v, d = v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 7*w**2 - 116*w + 1202. Let d be n(9). Sort d, -2, -15 in descending order.\nAnswer: -2, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 269, 408, 551?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 5*q**8\/28 - q**6\/30 - q**4\/3 - 3*q**3 - 2*q + 28. What is the third derivative of b(z) wrt z?\nAnswer: 1200*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d3 - -70c5?\nAnswer: 6ff2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:19 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 174824.1 minutes?\nAnswer: 10489446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 4 - 3 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 2*g = -3*a + 23, -5*g - 25 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(216) - ((3*sqrt(216) - sqrt(216)) + sqrt(216))))\/sqrt(8).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j + 0*j**4 + 5\/6*j**3 + 0 - 1\/20*j**6 - 19*j**2 + 0*j**5. What is the first derivative of c(f) wrt f?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1631*r**2*w + 12*r**2 - 2*r*w + 10843*w + 50 wrt r.\nAnswer: -3262*r*w + 24*r - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 8*v + 1. Let x be s(8). What is the units digit of 1 - 60\/(x - 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 + u**4 + (u**3 + 0*u**3 - 2*u**3)*(18 - 18 - 4*u) in the form m*u**3 + t*u**2 + q + y*u**4 + l*u and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/5)\/((-4)\/95). Let w = u + 13\/4. Which is the biggest value? (a) -0.3 (b) -2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*t = 33356 - 32642 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*o**2\/5 - 68*o\/5 - 32\/5.\nAnswer: -2*(o + 2)*(13*o + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 28*g**2 - 5*g + 47. Give z(14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 - v**3 - 3*v**3)*(7*v + 21*v - 3*v)*(-2*v + 2 - 2 - 4 + 4 + v + (2 + 3 - 3)*(3 + 2*v - 3)).\nAnswer: 150*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -m - 5*w + 13, m - 3*w = 135. Suppose -4*g = g - m. What is the remainder when g is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11517\/4188 + ((-4)\/(-2) - (1 + 3)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -172916.5211 and 0.4.\nAnswer: -172916.1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-5)*-3)\/(60\/195*208\/(-96)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 10*c**2 + 7*c - 16. What is p(9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1171 + 3476?\nAnswer: 4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*k**2 + k + 15*k**2 - 4*k**2 + 2)*(2 + 0 - 1 - 4*k**2) to the form m*k**2 + t*k + g*k**3 + o*k**4 + c and give o.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2609 is divided by 2457?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**6\/90 - m**5\/30 + m**3\/9 - m**2\/6 - 4*m. Factor q(g).\nAnswer: (g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 27*s**5\/4 + 73*s**3\/6 + 12*s**2 + s - 1956. What is the second derivative of c(a) wrt a?\nAnswer: 810*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4001*j**5 - 5*j**2 + 243*j + 1.\nAnswer: -240060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(320))**2*-6.\nAnswer: -1974 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147660 is divided by 879.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -95. Which is the third smallest value? (a) 1 (b) 8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 1. Let f(i) = -i. Let o be (1 + 1)*(-10)\/(-4). Let p = -14 - -8. Let u(v) = o*n(v) + p*f(v). Differentiate u(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 387128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from -12316.\nAnswer: -12325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*8*(-24)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -3, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*p + 82205, -p + 27315 = 4*h - 38436. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0 = 4. Let t(s) = -s + 0 - v - 2 + s**2 + 3*s. Let g be (-3)\/(-12) - (-26)\/(-8). Determine t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465951559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-300)*10 - 32\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*z + 214 - 269. Let m(a) = -a**2 + 5*a - 3. Let g be m(3). Suppose n + g*n - 3*o = 5, 2*n + 17 = -z*o. Sort n, -5, -4 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 386\/7 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17789*k + 428351 = -12226*k for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 677*q - 8104. Let k be i(12). What is the highest common divisor of k and 27460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2632 and 160952.\nAnswer: 52953208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m\/(m\/m**(-1)*m)))\/m*m)\/m)\/m)\/m)**(15\/7)*m**(-6)\/m**(3\/4) assuming m is positive.\nAnswer: m**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 + 30*d + 7*d**3 + 3*d**2 - 3*d**2.\nAnswer: 7*d**3 + 30*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 231\/29, 17, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1693 - 1691.653. Let d = q - 1.35309. Round d to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + 2*sqrt(78) - sqrt(78))\/sqrt(6) + (sqrt(13) - (0 + sqrt(13)))*-1.\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -530*u**4*y**2 + 22441*u**3*y**3 - 69*u**2*y**3 + 2*u**2*y**2 - 2*u*y**3 + 3623 wrt u.\nAnswer: -12720*u*y**2 + 134646*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59301, -118506, -177699, -236874, -296025, -355146, -414231, -473274?\nAnswer: -532269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5277756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 4 = -9*i + 4*o, -o - 13 = 4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(20)*5 - sqrt(20)) - (sqrt(220)*3)\/sqrt(11))\/((sqrt(432) - (sqrt(432) - (sqrt(432) + -5*2*sqrt(432))))\/sqrt(12)).\nAnswer: -sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -t**5\/10 - t**4\/12 + t**3\/3 + t**2\/2 - 24*t. Determine n so that f(n) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-15)*(-3)\/2. Let l = 0.19 + -0.19. Let t be 2\/(-7)*(-7)\/39. Sort l, t, s in ascending order.\nAnswer: l, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*i - 209633 = 6225*i - 1191*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**3 - 568*u**2 + 47*u - 3346. Determine q(71).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:28 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 3825?\nAnswer: 72675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30\/13 + -356\/143. Let z = -0.4 - 0. Let q be 1\/(-2)*(-10)\/(-45). Which is the second biggest value? (a) s (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 14 = 5*z, -4*z = -5*c - 6*z + 6. Suppose 2*r = 3*v - 9, 4*r + 4*v - 6*v = c. Solve 0 = r*a + 3*a + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3720768, -1, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1100?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2856.2050636543 - 0?\nAnswer: -2856.2050636543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -373, -566, -735, -874, -977, -1038?\nAnswer: -1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -4 (c) -14 (d) 2730\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/x**7)\/x)\/x)\/(x\/x**2))\/((x\/(((x*x*x**7*x)\/x*x)\/x))\/(x**(-3\/7)\/x)))**(2\/5) assuming x is positive.\nAnswer: x**(8\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 31010302302200?\nAnswer: 31010302302203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 26*h - 65. Calculate c(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 + 2283048*c\/11 + 651538521288\/11.\nAnswer: 2*(c + 570762)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n + 47. Let c(i) = 4*i + 16. Give 8*c(h) - 3*m(h).\nAnswer: -h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73)\/(33507\/1326)*(-6)\/(-13)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*u + 26130 = 772*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4396.5 + 4397. What is the nearest to 1\/6 in -1, f, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 14*x - 12. Calculate the lowest common multiple of 24 and d(10).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -81\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-9 + 40 + -61)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m - 2*v = -13, 2*v = 4. Solve -m + 2 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23630\/11 + -2148. Which is the third biggest value? (a) -12 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 157 - z**2 - 157. What is i(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = -21*b + 540. Let s(o) = o**3 - 3*o**2 + o. Give s(b).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 35 = -21*x. Solve x*o - 12 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let u be o(-5). Let d(k) = 177*k + 4. Let l be d(u). Let q = l + 1497\/2. Calculate the common denominator of -21\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0*o)\/o**(-2\/3)*(o\/o**(5\/4)*o)**(7\/3) assuming o is positive.\nAnswer: o**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 0 + 0 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 8) in base 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -84. Let z be -2 + -1*(-3 - 2). Let d(a) = 7*a. What is the remainder when l is divided by d(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*i - 4*i - i + 1240 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6806, -8264, -9782, -11390, -13118?\nAnswer: -14996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5709800 to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + (-28)\/6)\/((-3)\/45). Let i = 0 - -0.2. Which is the closest to i? (a) 4 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/19 + 164444*c**2 + 64224344198*c.\nAnswer: 2*c*(c + 781109)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 1\/15, 81\/82 in decreasing order.\nAnswer: 5, 81\/82, 1\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 34. Let x = -16.06 + s. Let t = -2.06 - x. Is t <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10*-1)\/((-5)\/50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16127549?\nAnswer: 16127549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = k - 10, -4*k - 2*o + 14 = o. Let y be 27\/6*12 + k. Suppose j = 5*j - y. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 9. Let m be b(7). Let x = -41 - -45. Let a = -1145 - -1145. Solve t - x*j - 1 = a, -3*j - 1 - m = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/2 - 1)*9658. Let y = s + 92777. Round y to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 27639 = 10069. Let f = s - -1890. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 4. Let b be y(5). Let o be 9\/(-15) + (-23)\/(-55). Is b greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -360444.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 378789296, 378789295, 378789294, 378789293?\n\"Answer: -f + 378789297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 17) + (-1 + 1 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8 = -3*j, 5*q + j + 5 + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*v + 0)*(3 + 2*v - 3) + 1718*v - 1718*v + 480*v**2.\nAnswer: 472*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*s = 7, 0*s = j - 3*s - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i - 2. Let t(l) = l + 10. Let x be t(4). Suppose 2 = 3*u + x. Let g(m) = -1. Give u*g(o) + c(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807798094 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -285*x + 287*x - d - 18, -80 = 5*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 38*p - 60. Suppose -26 + 146 = -5*h. What is the units digit of m(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3786471.\nAnswer: 3, 13, 32363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1548 and 3612?\nAnswer: 10836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 39. Suppose 5*m - 153 = -l. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) - (sqrt(13) + 2))*-5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, e: 6, n: 7, x: 3}. What is prob of picking 2 n and 1 x?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/987 and -133\/30.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + 25 + (26 + -24 - 13 - -4).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -16*i - 27. Let v be t(-2). Suppose 0 = -4*k + 3*x - 8*x + 18, -2*x = v*k - 14. Solve -11*u = -13*u + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, 0.1, -0.3, -141.\nAnswer: -141, -3, -0.3, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 + 11. Let w = 188 + u. Suppose 6*m = -5*t + 2*m - 26, 5*t + 6 = m. Sort -3, 2, t, w in descending order.\nAnswer: 2, w, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220598886?\nAnswer: 2, 3, 1433, 25657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 5*k + 23. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 - 4*u + 9. Suppose -16 = 3*g - 0*a + a, 4*a = 5*g + 21. Let p be q(g). Suppose 0 = -2*t - y + p, y + 4 = 5*y. Is 41 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.07628.\nAnswer: 0.03814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 5930*q**2 - 4386704*q - 13213536 = 0. Calculate q.\nAnswer: -3, 1484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2822302 - 0?\nAnswer: -2822302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -780.5 + 781. What is the nearest to 0.1 in 2, d, -0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/19773 and 89\/8788.\nAnswer: 79092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.60203 - -17.6. What is c rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4141 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 + 7 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2955 + -1054. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 4 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/15)\/((-2)\/2). Let u be q\/5 - (-13)\/(-65). Differentiate -16 + u + 12*r + 0 with respect to r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 9*l + l - 87.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 at least -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/19995448 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*w, w + 34 = r - 3*w. Let i(o) = -26*o - 132. Let c be i(7). Let u = c + 328. Calculate the highest common divisor of r and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 109 + -2a2?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 39*z - 21120 = 0. Let t = 6307 - z. Let h = t + 6712. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 27*t**2 + 9*t - 17. Let n(i) = -13*i**2 - 4*i + 8. Let v(w) = 9*n(w) + 4*u(w). Let l(x) = 4*x**2 - 2. Determine 5*l(h) + 2*v(h).\nAnswer: 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 460*s - 20. Let z be a(1). Is (5172\/(-30))\/((-16)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*y + 2*r + 16, 4*r + 10 = -6 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 1. Let a(j) = 18*j - 4. Let u(q) = -a(q) - 5*m(q). Let i be (8\/(-12))\/((-4)\/6). Calculate u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 20 = -3*i - x, -5*x - 16 = -i. What is the greatest common divisor of i and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15399 + -15380. Solve 78 = 7*n + h*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00148154134 rounded to seven decimal places?\nAnswer: 0.0014815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 20*o**2 + 3*o + 6. Let r(t) = -21*t**2 - 3*t - 41. Let z(s) = -7*s**2 - s - 12. Let x(d) = 2*r(d) - 7*z(d). Calculate -6*m(v) + 17*x(v).\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = -8*q - 234. Let s(c) = -2*c**2 - 3*c - 3. Let n be s(-2). Does 2 divide n + 3 + 3 - q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*s - 7. Let n(d) = -37*d - 39*d - 21 + 79*d. Let x be n(7). Solve s*o = -x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:50 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 410, 417, 424?\n\"Answer: 7*w + 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 0)*(-30)\/4. Let w be (-42)\/f*1*-20. Calculate the common denominator of -5\/18 and ((-2)\/w)\/(3\/(-114)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.35 + -50.05. Let n = 1 + 1. Let m be 1\/n + 14\/(-8). What is the biggest value in r, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.414536ml to litres.\nAnswer: 0.008414536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.62 (c) -3\/4 (d) 8.472\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 not equal to 22\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(17) - sqrt(17))*3 + 0)*3.\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - v**2 + 0*v**2)*(-794*v - v**3 - 11 + 794*v).\nAnswer: v**5 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/158381100 and -143\/15838110?\nAnswer: 158381100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 2)*(-1 + 3*l + 1).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/(-48))\/((-1)\/(-8)). Suppose 3*p - c = 4*j, -5*p - 2*j + 71 = 11. Let v = p + -29\/3. What is the biggest value in 3\/7, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.15541.\nAnswer: -0.046623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/11340 + p**6\/1620 + p**5\/540 - p**4\/12 + 3*p. Let z(j) be the third derivative of b(j). Factor z(g).\nAnswer: 2*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 divided by -3?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + g + (-1 - 3 + 3)*(-2 + 2 - 2*g))*(-1261*g + 123*g**2 + 1261*g).\nAnswer: 492*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = o + 4 - 2, -8 = 4*o - 2*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 2a7?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 19*h**2 + 64*h + 15. Let v be f(-4). Let i(c) = -2*c. Let k be i(2). Sort k, v, 5, 4 in descending order.\nAnswer: 5, 4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18663737*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 279981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 + -93. Solve -g - p*j - 4 = 0, g - 3*j + 7 = -6*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-1350))\/(4\/(-10))*5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4066394427.99999967 + 4066394489. Let u = -92 - -31. Let o = u + s. Round o to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.4 * 0.18.\nAnswer: 0.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.210189 - 0.210189. Let k = -0.3 - 0.3. Sort f, k, -2\/5, 5\/2 in decreasing order.\nAnswer: 5\/2, f, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - 0.3. Let s = 75 - 451\/6. Let q = -2 - -5. Which is the third smallest value? (a) s (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 187070 + 0?\nAnswer: 187070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -24, -31, -40, -51?\n\"Answer: -x**2 - 4*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/3 - 101464*r**3\/3 - 3327428*r**2 + 3361248*r = 0.\nAnswer: -99, 0, 1, 25464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 34631000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + 46 = 118 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -0.1.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 70.9. Let x = 6 + 4. Let i = x - s. Which is the second smallest value? (a) -3\/5 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 123102?\nAnswer: -123120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -0. Solve 6 = -4*f - c + 1, -u*c = -f + 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14644 + -14642. Solve 2*s = 2*f - 12 - d, 2*f - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301 + 302. Which is the closest to 0? (a) g (b) 0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233 + 2540?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.5, 1\/62 in decreasing order.\nAnswer: 1\/62, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose -5*n + 0*k = -r*k + 24, -2*k + 12 = -2*n. Let x = n - -4. Solve x*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869401.1 centuries in years?\nAnswer: 86940110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from {r: 1, z: 1, l: 8, a: 4, o: 1, k: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*t = -20*t. Solve 3*v = -l - v + 1, -l + 5*v + 1 = t for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2605 - -20839\/8. Which is the fourth smallest value? (a) 3\/4 (b) 38 (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/39)*c**(-26)*c*c*(c**(-1\/50))**3)**(-24\/5) assuming c is positive.\nAnswer: c**(187868\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 9. Let a be q(-3). Let p(f) = -66*f + 66*f + a*f**2 + 0*f**2. Let d(k) = 3 - 5 + 2*k + 2. Calculate p(d(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101221 - -1111?\nAnswer: -11100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 113, -2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrii when four letters picked without replacement from ririiiiriii.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpuj when four letters picked without replacement from joupjp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-581)\/(-49) - 11 - (-83)\/(-7) - 5. What is the nearest to 0 in 2\/3, 4, 8, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1. Suppose k = w - 3*w + 40. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.49, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 + 208. Let k(a) = a - 4 - i + 7. Let v(q) = 0*q**2 - 2*q**2 + 0*q**2. Calculate k(v(m)).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1)\/(6\/24). Suppose -4*h - g - l = 3*g, -g = 3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*h - 101 + 93, 3*m - 18 = -3*h. Solve -5*u = -4*z + h, 3*u - 7*z - 30 = -10*z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1051, -112, 0.\nAnswer: -112, 0, 1051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1\/3))\/c)**(-1\/10)\/((c\/c**4)\/(c\/(c\/(c\/c**(1\/3))))))**2 assuming c is positive.\nAnswer: c**(109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 42*g + 178. Let j be i(-16). Let h = 653 + j. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524 + 4376 = 25*h - 453*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 6:00 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 10\/(110\/(-9)). Let o = 0.14 + -0.04. What is the nearest to o in q, 3, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-21)*h)\/h**0)\/(h\/(h\/h**4))**(-32\/3))**(-48) assuming h is positive.\nAnswer: h**(-1136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1909*y**4 + 29*y**3 + 147569*y - 4.\nAnswer: -22908*y**2 + 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 790 = y - 5902, 0 = -5*y + u + 33405. Suppose -5*h = -2*c + 2659, 3*c + 2*c - h - y = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/144 + (-2)\/(-6) and (-882)\/(-48) - 18 - (342\/(-80) - -2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 7484063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7394 - 3?\nAnswer: -7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9370950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17826 is divided by 232.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -6. Let x be (1 - -2 - 6) + n. Is 3*(-586)\/(-6)*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 11*a = 2*n - 104*a + 464, 3*n + 4*a = 22 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (0 + sqrt(5) - sqrt(5)) + sqrt(5) + -5 + -5 + (sqrt(720) + 2*sqrt(720) - sqrt(720)))**2.\nAnswer: -650*sqrt(5) + 3294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -0.7 (c) -0.113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/4))\/x)**(-1\/9) assuming x is positive.\nAnswer: x**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.2874 to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*n + 55. Let -7 + 12*i + 6*i**2 + 2 + 3*i**4 + 3*i**2 - 7 - n*i**3 = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 11*f - 15. Let w be c(-12). Let j(r) = 2*r. Give j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*t**2 - 215*t**5 - 71*t**2 - 49*t**2 wrt t.\nAnswer: -12900*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343166?\nAnswer: 2, 171583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/8)\/((-2)\/(-4)). List the prime factors of -4 + (2 - (-26)\/n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/(-8) + 3\/24. Suppose -33 = b*z - 193. Let m = 13 + z. Which is smaller: 52 or m?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylljljlllly. What is prob of picking 2 j and 2 y?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3858 - 11212 = -306*a + 5804 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 - 56*r**2 + 59*r - 5. What is the lowest common multiple of q(27) and 76?\nAnswer: 4940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 5*a**4\/4 - 15*a**2\/2 - 4*a. What is the derivative of b(n) wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8301, 16928, 25623, 34404, 43289?\nAnswer: 52296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.06 - -0.06. Suppose i + 3*c + 6 = 15, -2*i + 4*c - 22 = 0. Let k be i\/13*(-4)\/(-6). What is the third smallest value in k, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3076, 6120, 9162, 12202, 15240?\n\"Answer: -c**2 + 3047*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154 - 21) + 21 - (0 - -9 - (-1 - -26))?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 5*j + 6. Let x be a(-4). Let p(i) = i**3 + i + 1. Let k be p(x). Suppose -2*z + 7 = -5. Solve 2*r - z = -4*v, 3*r - k = -2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*j**6*l + 12*j**5*l + j**2*l + 3*j**2 - 115*j*l wrt j?\nAnswer: -2040*j**3*l + 720*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**2*i*z + d**2*z + 1518*d**2 + d - 2*i**2*z + 33068*i*z + 2*z + 5 wrt i.\nAnswer: -4*d**2*z - 4*i*z + 33068*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-2 + (-136)\/12). Calculate the highest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/((-57)\/18 + 3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210120 + 220201202?\nAnswer: 212221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485524 is divided by 140.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*q + 368*q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4735?\nAnswer: 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -23*h**6\/40 - 42*h**5\/5 + 53*h**2 - 2. What is the third derivative of a(v) wrt v?\nAnswer: -414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d - 69*d - 5 = -122*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9131?\nAnswer: 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**3)\/j)\/j)**(-17))**40 assuming j is positive.\nAnswer: j**2720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 510 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -974373 - 915609. Let p be -3 - (-4 + 3)*l. Round p to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -23433?\nAnswer: -23440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/13)*p*p*(p\/(p\/p**(1\/7)*p))\/p)**(-10\/9)*(p\/(p\/p**(2\/3)))\/(p\/(p**(6\/5)\/p))*p**8\/(p\/(p**(3\/2)*p)) assuming p is positive.\nAnswer: p**(24671\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i = 3*p + 6405, -p - 3843 = -3*i. Suppose -2*v - i - 4418 = -3*j, -2*v - 7600 = -4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -669693933 minus -0.3?\nAnswer: -669693932.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + ((-57)\/(-2))\/(3\/(-5946)). What are the prime factors of (r\/(-18))\/7 + 1\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 21*g + 174 = o, 2*o - 3*g = 353. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 168 = -4*u - 5*v, -5*u + 202 = -3*v. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84527*j**2*p**3 + 2*j**2*p**2 - 10*j**2*p + 2*j + 7*p**4 - p**2 - 33*p wrt p.\nAnswer: -507162*j**2 + 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-380)\/(-15)*18 + 0. Let r = g + -120. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -15*a**2 - 2. Suppose 20*u = 38 + 2. Let b(k) = -63722*k - k**u + 63722*k. Determine b(j(i)).\nAnswer: -900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 250*d**2 - 1017*d - 237. What is k(-254)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -29*l + 561. Give b(8).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-10)\/8 - (-1242)\/184?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 186349914 divided by -5\nAnswer: -186349914\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 + 5*b + 4. Let w be g(3). Suppose 0 = -5*r - 4*k - 20, -8*k + 12*k = -4*r - 20. Solve r = -5*i - 3*s - w, 0*i + i + 4*s = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)**4*z**6\/((z**(-3)*z)\/z))**6 assuming z is positive.\nAnswer: z**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4987 - 5017. Calculate the common denominator of 25\/214 and i.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819 is divided by 544.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15 + 0)*10. Suppose -21 = r*u + 2*p - 157, 5*u - 188 = 2*p. Suppose 3*a = 4*x - 70, -2*x + a + u = -a. Solve g - 1 - x = 4*y, -11 = 3*y + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117731413 a multiple of 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -5 (c) -76 (d) -0.5 (e) -35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27143 is divided by 3068.\nAnswer: 2599","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: Suppose 2*h + y - 49 = 0, -y - 75 = -3*h - 2*y. What is the remainder when 75 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -46*b**3 + 1378*b**2 + 63*b + 16. Give p(30).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 13*d - 16)*((d + 0*d + 0*d)*(-3 - 2 + 6) - 4*d + 12*d + 0*d).\nAnswer: 117*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8374?\nAnswer: 2, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*1*sqrt(7)*-6)**2.\nAnswer: 6296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z = 5*s + 30*z - 1500, 0 = -3*s + 5*z + 898. What is the remainder when s is divided by 112?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -334\/15 + -46\/15. Find the common denominator of h and 0 + (196\/(-50) - -2).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6718 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvld when four letters picked without replacement from lltldllvdd.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 890178 (base 11) to base 5\nAnswer: 330423013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -1. Let w = -7 + t. Which is the biggest value? (a) -2\/7 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97127 * -11.68.\nAnswer: -1134443.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-7)*(-133)\/(-38). Let z(t) = 7*t**2 + 32 - 14 - 15 + t. Is z(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 3540.4.\nAnswer: 708.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -2*c + 2*s, -3 = -c - s. Find the third derivative of -3*p**c + 2*p**5 + p**2 + 0*p**5 + p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/1050)\/(2\/(-36)))\/((-50)\/8250*22)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 2, d: 1, n: 1, f: 2}. What is prob of sequence qn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5191, -5107, -5023, -4939, -4855?\nAnswer: -4771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -18 + 24 + -11 - (132 + -9)\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(5))**2 - sqrt(5)) + 5 - -5*(sqrt(5) + (sqrt(5) + -1)**2).\nAnswer: -6*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118024?\nAnswer: 2, 14753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 0.3 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let b(i) = -72*i**2 + 3*i - 1. Let c be b(-2). Let o = c - -302. Solve 2*m = -5*s - f*s + o, -m = 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -24*b**2 - 11*b. Let g(r) = 13*r**2 + 6*r. Let q(t) = 11*g(t) + 6*v(t). Let p(o) = -17*o + 4*o - 4*o. What is p(q(x))?\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:55 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r + 1. Let y be -390*(-2 + 20\/8). Let m be 2\/(6\/y) - 1. Let x be 78\/m + (-2)\/(-11). Calculate h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -9 + 4 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -2\/3, 10, -5, -1\/109?\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 389604829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - 7.4. Let r = -176 + 877\/5. Put r, x, 2\/11, -0.3 in increasing order.\nAnswer: x, r, -0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -185*d**2 - 36*d - 293. Let y(z) = 61*z**2 + 12*z + 98. Let s(q) = -4*a(q) - 11*y(q). Is s(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 93 = 7. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 485355 or 485356?\nAnswer: 485355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**13\/a*a)\/a)*a)\/a**(-1)*(a**(-2\/7))**(-4\/9) assuming a is positive.\nAnswer: a**(-622\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 2:57 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*v + 15, -12 = -3*v - j + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 310696 and 30?\nAnswer: 4660440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 3*b - 3. Suppose -8*y + 10*y - 186 = 0. Suppose -5*m = -5*w - 195, 2*m + 0*w - y = -3*w. What is the remainder when m is divided by h(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 24. Calculate the remainder when v is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/900 + r**5\/90 + 2*r**4\/45 + 4*r**3\/45 + 11*r**2. Factor p(s).\nAnswer: 2*(s + 1)*(s + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 860439 (b) 5 (c) 4 (d) 0.1 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 + 88. Solve r*f = -o - 2*o - 6, -2*o + 2*f - 16 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let s be ((-44)\/33)\/(2\/3). Let m = s + 4. Is m less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3694 + -48ba?\nAnswer: -1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/243 in -7, -143, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**5 + 3*a**5 - 8*a + 3*a wrt a?\nAnswer: 100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15312210*1.\nAnswer: 15312210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -42263 less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*l - 49*h + 50*h, -18 = 3*h. Solve 18*u = l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 353 + 82. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375556 and 938890?\nAnswer: 1877780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 3*a)*(3 + 2 - 3 + (-12 + 17 - 13)*(3 + 0 - 4)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - 17. Let o = 78 + d. Suppose 4*r = -5*n + 17, 3*r = -5*n + 4*r + o. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-36)\/15*(-4 + (-32)\/12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t. Suppose -2*p = -0*p - 28. Let o(u) = 11*u - 22*u + p*u. What is o(h(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20 - (-3 - (0 - 5)). Let l = 28 - q. Solve -4*n + l = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6 + 2*f - f - 8. Let l be b(4). Let s = l + 3. What is the remainder when s is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c46 - -4?\nAnswer: 7c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(24)\/((-2*sqrt(18) - sqrt(18))\/sqrt(6)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, h: 2, n: 1, j: 1, d: 1, o: 1}. Give prob of picking 1 d, 1 j, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z + 4*z - 2*z)*(-8 + 44 + 27).\nAnswer: 819*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18489 + -18223. What is the lowest common multiple of p and 152?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dst when three letters picked without replacement from {s: 2, t: 3, b: 4, d: 3, q: 6}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, a: 1, o: 9}. What is prob of sequence aoow?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -271*b**2 + 11*b**4 - 35*b - 10*b**4 + 8*b + 3 + 272*b**2 in the form o*b**4 + c*b**3 + t*b**2 + p + f*b and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 47?\nAnswer: -17\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159906126 by -6.\nAnswer: -26651021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*l**4 - 8*h*l**2 - 7*l**4 + 3*l**3 - 70*l**2 wrt l.\nAnswer: 24*h*l - 168*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 763546618 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 636 + -379. Let j = 462 - c. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*t**3 - 73*t**2 - 152557*t - 18207541.\nAnswer: 6*t**2 - 146*t - 152557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/6*20\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, a: 5, p: 3}. Give prob of sequence eep.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3287 + -3282. Let o(z) = 1 + z**2 - 6*z**2 + 7*z + 4*z**2. What is o(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v**3 + 2*v**2. Let z(h) = 24*h**3 + 11*h**2 + h. Determine -11*d(i) + 2*z(i).\nAnswer: -7*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/675*(-9)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68034047 divided by -18737?\nAnswer: -3631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640611 is divided by 274.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1290, -1659, -2264, -3099, -4158, -5435?\nAnswer: -6924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-15)\/6)*10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13970 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0.1. Let y be 4\/(-22) + (-36)\/(-77). What is the third smallest value in -5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 33 = 4*w - 9, -8 = w + v. Let u = 10 + w. Let d = -1 - -6. Solve -2*n = d*m - 3*m - 8, -u*m + 6 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:08 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) -4 (c) 14\/13 (d) 0.04 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*c**4*w + 114*c**4 + 2*c**3*w - 34*c**3 - c**2*w - 2*c**2 + 29*c*w + 431*c + w wrt c.\nAnswer: 144*c*w + 2736*c + 12*w - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 9*q - 107. Let p be n(-16). Solve p*r + 5*a = 20, 16 = r + 4*r + a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 40*t**2 + 22)*(-2*t**2 - 4 + 4).\nAnswer: 80*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.17798 rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + (-8 - -13).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*u + 5213, 4*u + a - 6034 = 918. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 51, 33, -3, -63?\nAnswer: -153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3607723 centimeters?\nAnswer: 3607723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*111821.\nAnswer: -335463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 180.13237 * -6\nAnswer: -1080.79422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1168.30010239 - -1168.3. What is c rounded to six decimal places?\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**3 - 11*k**2 - 2*k + 2. Let l(g) be the first derivative of g**4\/4 - g**3\/3 - g**2\/2 + 3. Let i(h) = 5*l(h) - t(h). Is 18 a factor of i(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 63 = -3*u - 67, 8*u = -4*z - 24 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3382?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99272489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -272 (base 9) to base 6\nAnswer: -1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1500?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*k - 16. Suppose 65 = -j - 4*j - l, -52 = 4*j - 3*l. Let o be (-5)\/((-5)\/(-4)) + (-7 - j). Solve 6*b - o*b - k = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595*t + 6 = 597*t - 2*n, 4 = t - 2*n. Solve 5*d + 30 = t*b, -2*d - d - 32 = -4*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/35 and -67\/177975.\nAnswer: 177975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.76 - 0.56\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1639747587 to the nearest integer?\nAnswer: 40494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**6\/75 - s**5\/25 + s**4\/30 + 2*s**3\/15 + 68*s - 58. Let f(m) be the first derivative of z(m). Factor f(b).\nAnswer: -2*b*(b - 1)*(b + 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 4803565331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -622124, -1244249, -1866374?\nAnswer: -2488499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -76.7. Let r = 0.7 - h. Let f = 0 + 2. Which is the biggest value? (a) r (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1. Let a be -1*7 + (0 - -1). Let t(w) be the second derivative of w**4\/6 - w**3\/3 - 7*w**2\/2 + 24*w. Determine a*o(p) + t(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y - y)*(-7*y**2 - 1 + 1)*(4*y - 3*y + 4*y).\nAnswer: -35*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3*j + 6. Let s be r(-4). Solve -s*h = h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -3 in increasing order.\nAnswer: -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*a - 1 + 307*a**3 + 155*a + 1 - 269*a**3 - 320*a.\nAnswer: 38*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/22 + 39093\/5181?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 495.17?\nAnswer: -494.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182105551*b**4 - 172434114.\nAnswer: 728422204*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 116910?\nAnswer: 1286010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 3, -2*h + 5*x = -6*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 593168288 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -365558?\nAnswer: 365563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d)**(-13)\/(d**2\/d*d*d\/d**(-5\/6)*d*d) assuming d is positive.\nAnswer: d**(-269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/17))\/s**(-7))\/(s**(7\/2)\/(s*s*(s*s**(-8)*s*s)\/s)) assuming s is positive.\nAnswer: s**(21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24881995, -49763988, -74645977, -99527962, -124409943, -149291920?\nAnswer: -174173893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-30) + (889358\/120)\/67. Are 1\/2 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319504123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 979 + 56?\nAnswer: 9d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6699361.4 rounded to the nearest one hundred thousand?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/15)\/k**(-2\/9))\/(k*k**(-3\/2))**(-2\/11) assuming k is positive.\nAnswer: k**(131\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**3 - 3*a**2 - 3*a - 6. List the prime factors of o(-4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 9132*t**2 - 5050548*t + 630844324.\nAnswer: 4*(t - 239)**2*(t + 2761)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 6*w**2 - 17*w - 33. Let p be y(-4). Suppose -2492 = -5*v - 2*g, 4*v + 5*g - 1994 = p*g. What are the prime factors of v?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-18)\/8*(-673462)\/249*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 3*u**2 - 99*u - 47. Calculate o(-9).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/18 + (-2)\/(-3). Suppose 5*u - a = 2. Solve 2*r - u = -5*w + 4*w, -8 = -3*w - r for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -67, -114, -179, -268?\n\"Answer: -s**3 - 28*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20730919.\nAnswer: 11, 19, 99191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 460*b**3*n - 2*b**3 + 122 wrt n.\nAnswer: 460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603.62801 seconds in days?\nAnswer: 0.018560509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306300085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 + -31. Sort -3, 3\/4, -1, o.\nAnswer: o, -3, -1, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84311304 and 40936.\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 - 17*l**2 + 58*l + 16. Let k(p) = -2*p**3 + p**2 - 2*p. Let g(b) = -f(b) - 3*k(b). Give g(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 3:21 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**5 + 64*i**4 - 146*i**3 + 64*i**2 + 9*i.\nAnswer: i*(i - 1)**2*(i + 9)*(9*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 624606 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1242*j + 35383 + 41621 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*1176\/16. Let w = b + -42. What is the least common multiple of 9 and w?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1984793195 + -3624.\nAnswer: 1984789571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2935920147 to the nearest 100000.\nAnswer: 2935900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/3 of a week?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*z = -s + 24, 0 = -3*s - 4*z + 19. Suppose 0*p - s*f = -3*p - 43, -3*f = 3*p + 3. Let w be 2 - 0 - (-16)\/p. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6786*i**2 - 6342*i**2 + 4 - 3 - 1.\nAnswer: -13128*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**2*k**3 + 940*b**2*k**2*m + 4*b*k**3 - 2*b*m + k**3*m + 9*k**3 + 3*k**2*m wrt b.\nAnswer: 4*k**3 + 1880*k**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -12. Let o = h - -3. Let u be (2\/(2\/1))\/((-6)\/(-2)). Which is the closest to -1? (a) o (b) -1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 4*u. Solve u = j - 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0308 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 3 - (2 - 6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1503 is divided by 40.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -753, -1522, -2293, -3066?\n\"Answer: -z**2 - 766*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 - 3*t - 2. Let j(k) = -45*k**2 + 60*k + 40. Let u(y) = 7*j(y) + 140*p(y). Let c(h) = 2*h**2 - 5. What is c(u(m))?\nAnswer: 2450*m**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 396 = 0. Suppose 0*r + 4*r = -5*g + w, -r = 5*g - 123. Suppose 0 = -4*p + g. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25398 or -25402?\nAnswer: -25402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 177 + 70 - 29 - 313*r - 1 wrt r?\nAnswer: -313","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13053 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: Let o = 2078 - 2075. Solve -o*x - q + 4 = 12, 12 = -x - 5*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233 - -235. Suppose -2*o - o = 0. Suppose o = g*t + t - 8700000. Round t to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(216) + (sqrt(72) + (sqrt(72) - sqrt(72)*-2) - sqrt(72))\/sqrt(3))\/(4*(2*sqrt(72) + sqrt(72))))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -42\/11*k**3 - 6\/11*k**4 + 24\/11*k**2 + 0 + 168\/11*k = 0?\nAnswer: -7, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.8015 - 24.091. Round d to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*h - 4*h. Let k(x) = 1029 - h*x - 1029. Let i(l) = -13*l**2. Give i(k(t)).\nAnswer: -52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - k + 17. Calculate j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*n - 3)*(56 + 13 - 17)*(3*n - n - 3*n).\nAnswer: 208*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 6*p**2 + 6*p - 1. Let z be b(4). Let s = 866 + -866. Let g = 7 + -3. What is the closest to s in 0.3, z, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50928272743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/4)\/(156\/(-24752)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 8*g = -21*g + 90 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/24 + t**2 + 113. Let w(u) = 39*u**2 + 1. Calculate w(q(j)).\nAnswer: 39*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.497 - 464.497. Let l = n - -495.3. What is l rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, -2, 9.\nAnswer: -2, 1, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12870 and 5493015.\nAnswer: 142818390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 9. Let s = 13 - f. Which is the closest to -1? (a) s (b) 0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1774.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -502511\/17 - -29557. Which is the biggest value? (a) 16 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12537 - -39439. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13827707081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14041?\nAnswer: 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2 - 18*u - 4. Let k be g(-9). Let l be ((-1)\/2)\/(k\/(-96)). Let h = l + 22. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2230 and 192110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428363 is divided by 438.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 14238*l - 341069. Give s(-24).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 5:32 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 5*f**2 - 13*f - 79. Let k be q(-5). Sort k, 0, 70.\nAnswer: k, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 1:28 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjocpxcjojcoojojo. What is prob of picking 1 j, 1 o, and 1 p?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 3. Let v be p(-6). Let d(o) = 3*o - 4. Let g be d(v). Solve 4 = 3*a + g*m, -2 = -3*m + 2*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22960 - 400.\nAnswer: -23360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226236 is divided by 1332?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d + 6*d - 5*d)*(0*d**2 + 0*d**2 - 2*d**2) + d**3 + 0*d**3 + d**3)*(-6*d + d + 2*d)*(-852*d - 454*d + 393*d).\nAnswer: -5478*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, a: 8, s: 1, l: 5, j: 2}. What is prob of sequence ka?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -33. Let v(s) = 0 + 4 + s**g + 0 - 7*s**3 + 3*s + 6*s**3. Let u be v(0). Solve 0 = u*b - 1 + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.15, -5, 2, 1\/8, -1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4 - 6380*l**3\/7 - 10888*l**2\/7 + 3632*l\/7 = 0. What is l?\nAnswer: -454, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 9638*l\/3 + 23222761\/3.\nAnswer: (l + 4819)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.3, 0.07, -3, -63?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14402332.734 - 7094.\nAnswer: 14395238.734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9727*k**2 + 43623*k - 43623*k - 2.\nAnswer: 9727*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 + -2.926.\nAnswer: 103.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -92\/45 and (-128)\/(-30) - 11\/55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200642 > 200644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 51, -0.4, -1\/5, -7, -23, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -30593710 less than -30593711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8913645 divided by -585.\nAnswer: -15237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/14*98\/42. Solve -q - 3 = -f*a, 2 = 4*a + 10*q - 12*q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*((d**(-1)\/d)\/d)\/d)\/(d**(4\/3)\/(d*d\/(((d\/d**(1\/5)*d*d)\/d)\/d))))\/(d**(-6)\/d*(d\/((d**4\/d)\/d*d))\/d*(d*d**(-1))\/d**3) assuming d is positive.\nAnswer: d**(517\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3, 3, 53 in decreasing order.\nAnswer: 53, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 35 = 22*i. Calculate the remainder when 134 is divided by i\/5 + 2 - -14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57002 and 1813700.\nAnswer: 19950700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 - 23 = 0. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8734095?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g - 5. Let s(t) = 7*t + 3. Suppose -8*o + 0 + 48 = 0. Determine o*z(i) + 11*s(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y**16\/y)**(12\/7) assuming y is positive.\nAnswer: y**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 2*c + 50. Give d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 1\/4, 506, -1, -5885, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54693237 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 362 + 658 - 296.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 46*g**2 - g + 5. Let k(n) = -2*n. Give k(h(m)).\nAnswer: -92*m**2 + 2*m - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/7, -85, 8, 5, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -279 + 292.1. Let b = -14 + a. Let j = b + 1. What is the smallest value in 2, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*v = d + 65, 3 = v. Let c = 15 - 10. Suppose c*s - d = 16. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xntx when four letters picked without replacement from knxttkxtctstsxx?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*y + 5, -5*l + 3*y + 8 = 1. Let h = l + -1. Let q(u) be the second derivative of -u**3\/6 + u**2\/2 - u. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1824*w**2 - 3674*w**2 + 1830*w**2.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 9*x**2 - 8*x - 24. Let j be y(10). Let c be (52\/(-8) + -1)*j\/10. Suppose -4*k - w = -3*w - 12, -c*k = 2*w - 16. Is k < 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1446781*k**3*n + 2*k**2 + 2043*k - 115*n wrt k?\nAnswer: -8680686*k*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 8) to base 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 247619\/18 - 13751. Suppose -4*b - 888 = 5*y + 5702, 3932 = -3*y + 2*b. Find the common denominator of y\/(-56) + (-8)\/(-28) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1606c - -4?\nAnswer: 16071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 30 in ascending order.\nAnswer: 1, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by -6*((-7)\/2 + (-2)\/(-2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c - 9355185 = -83*c - 125*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((6\/(-28))\/((-36)\/252))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687914 divided by -343957?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 3*y**5\/10 - y**4\/4 - y**3 + 7*y**2 - 102*y. Let x(j) = -j**3 + j**2 + j - 2. Let g(h) = i(h) + 5*x(h). What is g(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**4 + 4*m**2 + 1. Suppose 5*o - 3*o - 18 = -2*j, 2 = -2*j + 3*o. Let v(r) = -7*r**4 - 6*r**2 - 2. Let t(u) = j*x(u) + 3*v(u). Factor t(c).\nAnswer: -(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 4 + 2*v - 5\/2*v**2. Differentiate o(j) with respect to j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103321 and 5.\nAnswer: -516605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 13*c**7\/840 - c**5\/40 - c**3\/6 + 7*c. Let i(k) be the second derivative of t(k). Find the second derivative of i(x) wrt x.\nAnswer: 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 divided by 314?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 49. Let c be (-13)\/z - (-2)\/3. Suppose -5*j + 8 = s, s + s + c*j - 11 = 0. Solve 0*f + s*f = -4*b - 16, -3*b = 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93 - -55) + -41 + 7.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.79 + -333031132640.\nAnswer: -333031132640.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8))**31*(r**(-7))**(-2\/47) assuming r is positive.\nAnswer: r**(-11642\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3132182)\/(-4) + (-6)\/4. Let i = -786956 - k. What is i rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**6\/30 + 23*l**5\/20 - 169*l**4\/12 + l**2 - 278*l. What is the third derivative of p(b) wrt b?\nAnswer: 24*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30460 in 14, 1\/2, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4806 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/22*(-3 + 11). Let y = -3379 + 37171\/11. Factor -w*z + 2\/11 + y*z**2.\nAnswer: 2*(z - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 10*w + 15. Let q be t(6). Let y(u) = -2*u**2 + 2. Let f be y(-2). Let r = q - f. Sort 0, -1, r in increasing order.\nAnswer: r, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 48254726015727?\nAnswer: 48254726015727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 at least 16885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9494690 and 668110.\nAnswer: 9410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-195)\/(-50)) - (-2771)\/(-816)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291668716 divided by 2?\nAnswer: -145834358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -296309?\nAnswer: -296309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 764 = -791. Let m = 2\/63 - 73\/315. What is the second smallest value in i, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05918 + 356140.8?\nAnswer: 356140.74082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205269 at least as big as 205266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 643734\/(-1960) - 4\/(-14). Let f = 327 + g. What is the common denominator of 1\/45 and f?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**2 + 0 + 2 + 3*m**2 - m**3 - 6 - 7*m. Let g be z(7). Let b be g\/22 - 26\/(-22). Solve b = 4*n - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.31 - 1.41. Let h = 16 - g. Let c = h - -0.8941. What is c rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 57379902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4 in decreasing order.\nAnswer: 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 36 in decreasing order.\nAnswer: 36, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-11.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 201?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-1)\/(-2))\/(8281\/(-26026)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2*b + 2. Let g(s) = -7 + 120*s - 497*s + 124*s + 123*s + 126*s - 2*s**2. Let w(u) = -2*g(u) - 7*t(u). Factor w(q).\nAnswer: -3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/(880\/(-185))*-4 and -2\/7391.\nAnswer: 29564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10167 + 317242241.1.\nAnswer: 317252408.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -1. Suppose -2*q - 3*s - 2 = 0, t*s = s - 4. Let l(x) = 9 - q*x**2 - 9. Let a(f) = 3*f. Calculate a(l(d)).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 32?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y. Let i be c(1). Let r be (-65)\/26*i\/5. Suppose 3*o - 14 = r*o + 5*j, o - 3*j - 10 = 0. Does 2 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1335, 5, -2\/3, -1\/5?\nAnswer: -1335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5715 and 8955?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 + -52.4. Let h = 0.4 + d. Which is the third biggest value? (a) 1\/3 (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1092*c + 30 + 1768*c - 30)*(c - c + c).\nAnswer: 2860*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*sqrt(68) + -2 + 2*sqrt(68) + sqrt(68) + 1 + -3 + -2)**2*4.\nAnswer: 288*sqrt(17) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6156539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2887.11 - 2887. Let n = -6.54 + 21.03. Let c = x + n. Round c to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - f + 1. Let s = -4820 + 4821. Let n(m) = 2*m**3 + 2*m**2 - 8*m + 8. What is s*n(z) - 8*p(z)?\nAnswer: -6*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -2.8. Let r = -1476.7 + 1582. Let a = r + -105. What is the second smallest value in -5, a, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540270.\nAnswer: 2, 5, 154027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 125 = -11 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-309)\/1339 + -19*(-14)\/26\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9040*v = -9031*v - 10656. Do v and 1184 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 15*j + 735 = 27*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1690*o = -1695*o + 5. Suppose 16*w = o + 47. Factor 12\/5 + 1\/5*n**w + 16\/5*n + 7\/5*n**2.\nAnswer: (n + 2)**2*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - -20) + -38 - (-7 - 6).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 31*m + 100. Let l be x(4). Suppose -z - 434 = -l*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78543250 to the nearest integer?\nAnswer: 8862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/102 and (33\/(-17))\/(((-148)\/(-18) - 6)*3)?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -12. Let b be (-20)\/(-6) - q\/(-6). Suppose 4*o - 62 = -o - 4*i, -b*o = i - 33. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 10*n**2 - 8*n + 3. Determine g(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416436321 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: Expand -2*k**3 + 0*k**3 + k**3 + (0 + 0 + 2)*(k**3 + 4*k**3 - 6*k**3) - k**2 + k**2 - k**3 + (-k**2 - 1 + 1)*(2*k - k + 2*k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15370 and 9010.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -8*q - 18. Suppose -9 - 1 = -c. Suppose 5*f = c - 0. Solve a - q = -f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 10. Let p be c(0). Suppose -12*h + 406 = -p*h. What are the prime factors of h?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -8 - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/75968862 and -25\/480056?\nAnswer: 303875448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -124*p - 125. Let l be r(-26). Suppose -35*j - 19 = -l. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9102.\nAnswer: 2, 3, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/11*f**3 + 38\/11*f**2 - 24\/11 + 8\/11*f.\nAnswer: 2*(f + 1)*(f + 6)*(3*f - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t - 3. Let z be h(-4). Suppose 6 = -z*j + 21. Let m = j - 2. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00425 times -242.48?\nAnswer: -1.03054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d + 10*d**2 + 3*d + 2*d**3 + 4*d - 2*d**4.\nAnswer: -2*d*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 6*j - 5. Let k(c) = -3*c**3 + 7*c - 6. What is 5*k(z) - 6*v(z)?\nAnswer: -3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 12, 46, 116, 234, 412, 662?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/51032?\nAnswer: -1\/51032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173530 divided by -370?\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 300\/(600\/6) + 29 + 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbh when four letters picked without replacement from hhhhhhbhhbhbhhbhhhhb.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-3)))\/c*c)**(-13)*(c**0)**(-29))**(-3\/23) assuming c is positive.\nAnswer: c**(117\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1241*k + 5. Suppose -31 + 6 = 5*g. Let i be g\/10 - (-11)\/2. Let z be p(i). Round z to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-5*s - s + 3*s) + 29*s - 92*s + 24*s in the form t + j*s and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4350, 9325, 14310, 19311, 24334, 29385?\n\"Answer: f**3 - f**2 + 4971*f - 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*j + 13, -3*q + 0*q = 2*j + 1. Suppose 3*a - 40 = -4*z, z - 5*a - 11 = -q. Let f(o) = o**3 - 9*o**2 - 3*o + 11. What is the units digit of f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.167 tonnes to grams.\nAnswer: 265167000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 3*f - 10 = 8, -3*y = 5*f - 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/984 and -23\/20?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:39 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s - 2. Let w be c(0). What is the tens digit of (-6)\/(w - 124\/(-64))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 54 = -18. Suppose 41*o + 46 - 94 = -48. Suppose 3*n - m = -o*n. Solve 25 = n*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/(-720) - (-1 - 2\/(10\/(-157))).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/19 in -3, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 9:01 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 454252206 to the nearest integer?\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 15*u**3)*(-2*u + 4*u + 0*u)*((0 + 2 - 3)*(0*u + 2*u + 0*u) + 10 - 10 - 4*u).\nAnswer: -180*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.765 rounded to 1 decimal place?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 5*c**2\/2 + 10*c + 38. Let j be y(-1). Solve -3*v = 2*v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11097731\/19329 + -50850\/379. Let i = 440 - f. Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1955*z**3 - 5*z**2 - 3*z + 5. Let h(t) = 977*t**3 + 2*t**2 + t - 2. Calculate 2*a(b) + 5*h(b).\nAnswer: 975*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -19?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645106*f + 645092*f + 588 = 0 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/11 and ((590\/(-3))\/5)\/((-168)\/18).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26458 + -308?\nAnswer: 26150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1461283 - -2.\nAnswer: 1461285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 times -0.069\nAnswer: -0.02277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31038 in 1\/4, -2\/25, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/(372\/(-48) + 8). Factor 4\/3*h**r - 4\/3*h**2 + 4\/3*h + 0 - 4\/3*h**3.\nAnswer: 4*h*(h - 1)**2*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*-7*(-5)\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 6*l - 5*l = 18741, -4659 = -a + 5*l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 158*m**2 - 148*m + 274*m**3 - 276*m**3 - 102*m + 124 - 30*m**2.\nAnswer: -2*(m - 62)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017805338 to 3 decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from jjhhxqd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c - -8a?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 7*r**2 + 2*r + 4. Let x be p(-7). Let f be 12\/10 - (-4)\/x. Let l = -7.46 + 8.46. What is the closest to l in 4, 3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22136279.4 microseconds in days?\nAnswer: 0.0002562069375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.04 - 59.04. Let v = x + 58. Which is the closest to 1? (a) v (b) -25 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124965.16084979 + 1?\nAnswer: 124966.16084979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6012 - -6015.6. Put 3, p, 1, 11, 0.2 in increasing order.\nAnswer: 0.2, 1, 3, p, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12927030 divided by 5\nAnswer: 2585406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 3. Suppose n - 4 = 0, -4*o - n + 10 = -6. Let m(v) be the first derivative of -3*v**2\/2 + 4*v - 1. Give o*m(b) - 4*y(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 11:06 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 40*l - 2. Let u be n(13). Let k = u + -345. Suppose k + 359 = 7*c. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -270?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -82 + 74 + (0 - -290). Is 565\/2 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300334104310 - -2?\nAnswer: -300334104303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(108) + sqrt(12))\/sqrt(4).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72500 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 800379961 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 101*s**2 - 101*s**2 - 13*s**3 + (s + 1 - 1)*(s**2 + 2*s**2 - 2*s**2).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -1 - -10) + 1 + -12 + -2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 695520 divided by -63\nAnswer: -11040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(-33) assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -265 - -1585. Suppose m = 7*m - w. Does 43 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-75) - (-25)\/(-250))*(9 + 7\/(-1))\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4143, 4153, 4163, 4173?\n\"Answer: 10*y + 4133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -1\/952, 5, -0.2 in increasing order.\nAnswer: -3, -0.2, -1\/952, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 2. What is the tens digit of c(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 0*v - 2\/3*v**3 + 0 + 1\/3*v**4 + 1\/3*v**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p + 8*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - 71. Suppose 3*s - 3 = 2*q + 14, 3*q + 21 = 3*s. Suppose -3*w + 4*d = -j, d - 36 = -s*w - d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -33. Let j be (-2534)\/y*(-3)\/(-5). Let n = 72 + j. Which is greater: 6 or n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.07 (b) 0.4 (c) -3 (d) -0.13 (e) -2 (f) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24807*h**3*m + 2544*h**2 + 6*h*m wrt h.\nAnswer: -148842*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1134)\/(-168)*8\/(-72).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + i - 6*i + 15 = 0, 2*a + 2*i = 14. Solve 0 = -3*k + k - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*l**5 - 10305*l**3 + 55*l**2 + 5679*l.\nAnswer: 540*l**2 - 61830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of 27*j - 4*j**2 - 4\/3*j**3 - 1\/15*j**6 + 0 + 5\/6*j**4 - 1\/21*j**7 + 1\/2*j**5. Determine b so that g(b) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 838 + -835. Sort r, -8, 5, -5 in descending order.\nAnswer: 5, r, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**6\/24 - f**5\/10 - 3*f**4\/2 + 4*f**2 - 8. Find the second derivative of t(g) wrt g.\nAnswer: -30*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 707453472 to the nearest integer?\nAnswer: 26598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(396) + -1)*2 - sqrt(396)))*-3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 17 = 4. Let p(y) = y**2 + 2*y - 8. Let o be p(g). Calculate the highest common divisor of 81 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:54 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 142361003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.9. Let x = -527\/702 + 1\/1404. Put 0.5, x, c, 3 in ascending order.\nAnswer: x, c, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1056082*j**4 + 83*j**2 - 2*j - 22.\nAnswer: 25345968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*y + 38874 = 12*y + 807*y for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-6))\/(14\/21 - 1). Let n(v) be the third derivative of v**6\/120 - v**5\/15 - v**4\/4 + v**3\/3 + 6*v**2. What is n(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/10 - (-171380)\/100 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13120, -13388, -13654, -13918, -14180, -14440, -14698?\nAnswer: -14954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132834 is divided by 26566.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 6*n**2 + n + 7. Let u be s(3). Let w = u + 32. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7113*o**5*q - 2*o**3*q**2 + 11*o**2*q**2 - 3*o**2*q - 19*o*q**2 + 2 wrt o?\nAnswer: 426780*o**2*q - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -83?\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 + 3 + -1 + -5 and 12\/(-4)*(-7 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011 (base 3) to base 9.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(5) - sqrt(5)*2*-6))**2 - (-1 + -1*(0 + sqrt(5))).\nAnswer: 79*sqrt(5) + 855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -15*o + 9*o. Suppose -11*p - 5*k = -7*p - 26, -o*p + 12 = -2*k. Solve 3*y + 8 = 5*w - 5, -2*w = -p*y - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858818309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 141793 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 163*k**2 + 112*k**2 + 66*k**2 + 2*k - k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/35 and 83\/60210405.\nAnswer: 421472835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 20*o**2 + 94*o. Let a(i) = 19*i**2 + 95*i. Let l(t) = 5*a(t) - 6*s(t). What is the second derivative of l(x) wrt x?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j*j**4)**(2\/21)\/(j**3*j\/(j\/(j\/(j\/(j*j*(j*j**(-3))\/j*j)))*j))**(-24\/5) assuming j is positive.\nAnswer: j**(154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 96, 143, 190, 237, 284?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 20 + 5 = 0. Let l(p) be the second derivative of p**4\/6 + p**2\/2 - p. What is the least common multiple of a and l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5074 = -2491. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**2 + 21*j**2 - 75*j**2 + 19*j**2 in the form l*j**2 + x*j + k and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1799, -6, 4 in increasing order.\nAnswer: -6, 4, 1799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3747*m - 1608*m - 2137*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + s + 18, 1422 = 3*q - 4*s + 1440 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -102550, -104227, -105904, -107581?\n\"Answer: -1677*m - 100873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:56 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d + 5*d**2 + 17*d**3 + 28*d**3 - 9*d**2 wrt d.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:33 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2\/15)*z)\/z)\/z*z*z*z**(-5)*(z*z\/z**(-4))\/z**(1\/2))**34 assuming z is positive.\nAnswer: z**(697\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 5*q + 4. Suppose -15 = -5*a - 0*a. Let c be b(a). Is (-16)\/(c\/4 + -3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100699\/10370 - -11\/1037. Calculate the common denominator of -29\/8 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 8\/7, 7, -15?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 + -56. Suppose d*j - 49*j = -16. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 64.994 to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.14023.\nAnswer: 0.28046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13037658 divided by 5.\nAnswer: -13037658\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -510*i**3 - 2*i**2 + 5*i + 9. Is 127 a factor of c(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -71922, -71925, -71924, -71913, -71886?\n\"Answer: h**3 - 4*h**2 + 2*h - 71921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 14.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6243931597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -25744 >= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/6 + 22*v**2 + 3*v - 5. Is l(-20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -1467?\nAnswer: 146d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40230, 40227, 40224, 40221, 40218?\n\"Answer: -3*n + 40233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/30)\/7)\/((-9)\/12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.13865l to millilitres.\nAnswer: 66138.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 7*h)*(-272 + 348 + 600) - h - 4*h + 3*h + (-3 + 1 + 1)*(-2*h + 0*h + h).\nAnswer: 2027*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0 - 2*m - 3\/4*m**4 + 0*m**2 + m**3 + 3\/20*m**5. Factor g(p).\nAnswer: 3*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6*v**3)\/((v\/v**0)\/v)**2*((v\/((v\/v**1)\/v))\/v)**(2\/57)*v**(-2\/5)*v**4 assuming v is positive.\nAnswer: v**(3601\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/20)\/(5\/40). Suppose 2*p - 18 + m = 0. Suppose -4*a + 3*b = -p, -4*a - 3*b + 12 = -20. Solve -a*x = -8 - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 8. Let p be v(8). Suppose 4*u = -p*u - 24. Is u\/27 - (-130)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -40*d**2 + 14*d**2 - 9 - 8*d + 15*d**2 + 10*d**2. Let l(o) = o**3 - 5*o**2 - 7*o. Let w be l(6). Calculate a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73\/207 - 3\/23. Let v = -1 + 1.2. Put v, t, -0.3 in increasing order.\nAnswer: -0.3, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6129642\/11 and -557239 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8818021 < -8818023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 7\/3023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 154333625059.9 - 0.042?\nAnswer: 154333625059.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3750.815 nanoseconds to seconds.\nAnswer: 0.000003750815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 6*a + 128. Calculate the common denominator of 19\/8 and -2*(-4)\/(a\/236).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 56229422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*d, -x = -4*x + d + 2. Let h(c) = 7*c**2 - 3*c + 3. Let z(f) = -f**2 + f - 1. Determine x*h(m) + 3*z(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3406 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83\/70 + 9\/10. Let s(g) = -4*g - 31. Let q be s(-9). Let v = 2\/11 + 5\/33. What is the second smallest value in c, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 26*k**2 - k + 64. Let x = -125 + 127. Suppose 0 = 6*h - 5*h - x*j - 22, -4*h + 2*j = -100. What is the remainder when 110 is divided by l(h)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9481 and 2898?\nAnswer: -27475938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -3)\/(-2) + 19\/((-760)\/540).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14)**(-39) assuming g is positive.\nAnswer: g**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 637, 2667, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 1233008?\nAnswer: 2466016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 15 = 3*v, c - 18 = -2*v + 3*c. What is the highest common divisor of v and 351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 18038 + 18054 = -5*y, -3*q - 3*y = 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from zhdhhhhhj?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*n = -99*n - 2013. What is the highest common factor of 23331 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/13 (b) -0.4 (c) -19 (d) 5\/22 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5319 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-2)\/(-12)). Let p be ((-2 + -2)\/1)\/2. Let s = p - n. Solve -s*h = -3*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:29 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6864 or 6863?\nAnswer: 6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11117 or -11119?\nAnswer: -11117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 3. Let p be h*(4 + -3 + 0). Let l be 9*(p\/5)\/(-3). Solve -3*i + 5*i - 2 = 2*x, 0 = 2*x - l*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 954\/477*91\/7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/369 and -47\/990.\nAnswer: 40590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-90)*(-90)\/(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8 - 2. Calculate the remainder when n\/4*(5 + 17) is divided by 34\/8 + 2\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408289.\nAnswer: 7, 17, 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -457, -461, -467, -475, -485, -497, -511?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92806, -185633, -278482, -371347, -464222, -557101?\nAnswer: -649978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001000000001011 - 100100011?\nAnswer: -11001000100101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 3*a - 216 = 0. Suppose 0 = -a*y + 71*y + 18. Suppose 16*j = y*j - 66. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 221.386361644.\nAnswer: 221.186361644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -8.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 11*x - 2 = -v, -x - 13 = -2*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197152 is divided by 1914.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = h + 3*f, 86*h - 8 = 90*h - 4*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 times -0.3?\nAnswer: 82.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186\/5 + 1322\/35. What is the fourth smallest value in 3\/5, -3\/8, a, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from sxsssxwjwsjsj?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = 882*r - 878*r - 10, -5*r - 4*d + 37 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(60\/(-69))\/((-204)\/782)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220100221110100 + -12210?\nAnswer: 220100221020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001375285 rounded to 6 dps?\nAnswer: -0.001375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*z - 11, 4*z + 4 - 17 = h. What is the closest to h in -14, 2, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 3*q**3\/2 - 2*q. Let d(c) = -c**2 + 5*c + 52. Let l be d(-5). Let a(b) = -12*b**2 - 19*b**2 + 32*b**l. Calculate h(a(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 16*j**2 + j - 3. Let s be q(16). Let m(w) = -10 - 11 - s + 29*w + 33. Let r(u) = u**2. Determine m(r(t)).\nAnswer: 29*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*1)\/((-15)\/(-90))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 310710225.\nAnswer: 3, 5, 7, 59, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.07, -1\/4, -0.4, -0.1 in decreasing order.\nAnswer: 0.07, -0.1, -1\/4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31395300 rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 89 = -5*q + 16, 4*q + 52 = 2*h. Suppose -6*t - 356 = -8*t - 4*o, -2*o = -5*t + 878. What is the greatest common factor of t and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from {z: 9, o: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 3*n + 4*n)*(-3*n + 3*n + 2*n) - n**2 + 0*n**2 + 3*n**2)*(n**2 + 0*n**2 - 3*n**2).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, z: 5, c: 2}. What is prob of sequence cczn?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 5*s = -2*i + 85, 4*i = 2*s + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40988348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.4, -5, -1\/141, 0.46?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 4*t - 4. Let o be x(-4). Let w = -11 - o. Let l be -6*-15*(-1 + 2). Calculate the greatest common factor of w and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44869 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195393 is divided by 41?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j. Let p(s) = -28*s - 3*s + 15*s. Determine v(p(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9967 is divided by 1351?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -29?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = -16. Let o(t) = -6*t**3 + 2*t**2 - 2*t + 2. Let i be o(1). Let n be (i\/(-6))\/(112\/(-48)). What is the nearest to n in 5, -1\/4, s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 505095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*d - 4739 = -17103 for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 8599 - 2653 = 2*r, -b + 2*r = 2968. Let z = b + 107167\/36. Calculate the common denominator of (1 - (-166)\/(-180))*(-2080)\/64 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3 - 13021125*n**2 + 57607602*n?\nAnswer: -18*n - 26042250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 25*r - 79. Does 59 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*v**2 - 150*v**2 - 162*v**2 - 6896.\nAnswer: -244*v**2 - 6896","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 - 64*m**2 - 223*m - 41. Give b(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -162.873 (c) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(-2\/21))\/w)**(5\/17) assuming w is positive.\nAnswer: w**(115\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 equal to 226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -5 (c) 4\/117 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 1539.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 175 = -177. Suppose 12*p - 8*p = s. What is the highest common factor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqkxukghukqghqg. What is prob of sequence gxku?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:45 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37571 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20192, -41945, -63696, -85445, -107192, -128937?\nAnswer: -150680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952353.\nAnswer: 3, 105817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 3\/8 (c) 1\/4 (d) -5541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 - -4?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 487, -1550, -8655, -23366, -48221, -85758, -138515?\nAnswer: -209030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, o: 1, g: 1, x: 1}. Give prob of picking 1 k and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/2 of a year?\nAnswer: 306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k + 1715431*k**2 - 7*k + 1 - 1715432*k**2.\nAnswer: -k**2 + 51*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:27 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 945 and 8397.\nAnswer: 293895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -923a7 + -1?\nAnswer: -923a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-48)\/(-36))\/(-4))\/(2\/(-18)). Which is the nearest to 4? (a) -3\/8 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 7. Suppose 10 = 3*m - 2. Let y be m\/12 + 160\/q. Calculate the greatest common divisor of y and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-54) + 3\/2)\/((-52)\/(-312)) - 50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 160*l + 9706 - 20837 - 19429. What is the remainder when 246 is divided by l?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l - 6. Let a = -5 - -9. Let v be r(a). Solve -v = 3*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6210 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -10*q + 9*q. Suppose -1 - 1 = -u, -3*u + 21 = q*y. Let n(i) = -2*i**2 + 0*i**2 + y*i**2. Let k(w) = 2*w**2. What is k(n(c))?\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7774, -15275, -22776, -30277, -37778?\nAnswer: -45279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1255 (base 6) to base 8\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5845, 11827, 17809, 23791, 29773?\nAnswer: 35755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 139203000 to the nearest one million.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 3*v + 3*u, 5*u + 160 = 953*v - 939*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 3.\nAnswer: -37, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005549 to five dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, -31, -4 in increasing order.\nAnswer: -31, -4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - v**2 + 8*v + 82. Give a(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 - 267. Solve -4*c = 2*w + 6, -b*w + 29 - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 - 21)*(16 + f + 0*f - 2) - 3*f + 2*f + 3*f - f + 3*f - f + (-3*f + 3*f + f)*(1 + 1 + 0) to the form y + l*f and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -191*u**2. Let s(b) be the second derivative of 0*b**2 - 147*b - 1\/3*b**3 + 0. Calculate s(t(v)).\nAnswer: 382*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 122112120021100?\nAnswer: 122112120021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 621016 - 2)*-101. Let a = -1881865211\/30 - r. Let p = -6629 - a. Calculate the common denominator of p and -93\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -65. Solve -8 = w*o + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.38 + -0.2. Let o = -0.08 + f. Which is the closest to o? (a) -4 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:14 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 97251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 3*k + 90.\nAnswer: -3*(k - 5)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*j + j - 72, -4*j - 4 = 0. Let q be u\/28 + (0 - 2\/7). Find k such that -64*k - 4*k**3 - 64 - q*k**4 - 24*k**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0538 to 3 dps.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:34 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -0.14. Let g = 0.1 - u. Let j = g - -0.02022. What is j rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -6. Does 14 divide 296\/6 + 1\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323367*s = -323332*s - 980 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/9))**49*(v**4\/v)**24 assuming v is positive.\nAnswer: v**(599\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -5*t. Let o(v) = -v. Let h(r) = a(r) - 4*o(r). Let j be h(-3). Calculate the remainder when (-4)\/(-10) + (j - 472\/(-20)) is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -69, -148, -267, -432, -649, -924, -1263?\n\"Answer: -c**3 - 11*c**2 - 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h. Let d(t) = -6*t**2 + 3*t - 4. Let q(f) = -d(f) + 5*s(f). Let y(i) = -3*i - 12. Let w be y(-3). Give q(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) - (1*sqrt(75))**2) + -1*sqrt(300)*-5.\nAnswer: -76 + 51*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(6\/11)*d*d*d*d**(2\/27))**(-3\/4))**(-1\/3) assuming d is positive.\nAnswer: d**(343\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/15 - 5*z**3\/6 + 10*z**2 + 13. Suppose 5*c = 2*c + 30. Let g(x) = -4*x**3 + 3. Determine c*g(a) + 6*p(a).\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 22f0?\nAnswer: -22f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -0.5, -136, -1\/3?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13901, 27638, 41387, 55154, 68945, 82766?\nAnswer: 96623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6*18758.5.\nAnswer: 11255.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 696. Let o = p - -649. Is o greater than 11\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one halves of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*r + 15, 4*w - 3*w - 15 = 3*r. Let o(v) = v**2 + v - 2. What is the units digit of o(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 + 21 = -6*m. Let a = m + -10. Suppose -i = 4*i - a*y - 26, 2*i + 2*y - 4 = 0. Solve i*z + 0*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/84 - 41*x**3\/21 - 2*x + 40. Factor u(v).\nAnswer: v*(v - 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*(264\/(-56))\/(-11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.071 and -0.025?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggx when four letters picked without replacement from xgxxxxgxxxxxxxxxxg.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -14*j + 2. Let s be v(3). Let f = 50 + s. Calculate the greatest common factor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 32*f + 6. Let s be m(-16). Suppose 0 = 2*q + 6, -t = q - 11 - s. What is the smallest common multiple of t and (-44)\/((-15)\/3 + 3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22180359463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/11255 (b) -8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**2 + 25*u + 659. Calculate v(-9).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.6 * -261442.\nAnswer: 679749.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15*-7.6\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s - 4. Which is the closest to 1\/3? (a) -5 (b) 1\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -15. Let y(w) = -w**3 + 15*w**2 + 17*w - 12. Let o be y(16). Let l be o + s\/(1 - -1). Solve -l*c = q - 1 - 16, 19 = 3*q + c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**8\/8 - 19*c**4\/12 + 13*c. What is the third derivative of j(b) wrt b?\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -266*n**4*v - 2*n**3 - 3*n**2 - 10*n - v wrt n?\nAnswer: -6384*n*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/18*(-2 + 14)\/(-2). Suppose d = j - 5, -2*j + 2*d + x = -2*d. Let q(r) = r**2 - 2*r**2 + j*r + 4 + 0 - 4*r. Calculate q(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 0*n)*(-12*n + 16 - 16) - 1 - 4*n**2 + 1.\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*z + 3696 = 203*z for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9.3 * 0.06\nAnswer: -0.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b - 3. Let q(g) be the third derivative of g**4\/24 - g**3\/6 + 11*g**2. Let j(t) = l(t) - 3*q(t). Let i(h) = 2*h. Determine j(i(m)).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-4)\/9*3. Let x be 73\/15 + (-76)\/(-570). What is the smallest value in x, k, 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -13*g**2 + 80*g - 232. Let i(n) = -28*n**2 + 160*n - 462. Let u(l) = -4*i(l) + 9*j(l). Suppose u(y) = 0. What is y?\nAnswer: 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 11635.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -36. Let z = -24 - l. Let h(m) = -1 + 0 + 3*m**2 + 2. Determine h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1954, -3932, -5924, -7936, -9974?\n\"Answer: -f**3 - f**2 - 1968*f + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/67 - -144\/335. Let m = 88860 - 355439\/4. What is the closest to m in z, -1, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 1024?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 1\/10*g**6 + 0 + g + 3\/10*g**5 + 27\/2*g**3 - 1\/70*g**7 + 61*g**2 - 9\/2*g**4. What is q in u(q) = 0?\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 32*q**2. Let u(o) = 5*o**2 + 3*o + 3. Let k be 38\/(-5) + (-4)\/10. Let f(c) = 14*c**2 + 8*c + 8. Let i(d) = k*u(d) + 3*f(d). What is i(a(w))?\nAnswer: 2048*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3594 and 104.\nAnswer: 186888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, 7, -6, -1, 5 in decreasing order.\nAnswer: 86, 7, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103221233 (base 5) to base 7.\nAnswer: -3532640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 25884?\nAnswer: 25883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 56423880 divided by 470199\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12 + 56*o**2 + 15 - 2*o + 4*o - 4*o. What is the tens digit of l(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-3 - 0) + -2 + 3 + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 9:33 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 1:15 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 84 - (19 + 4) - 21\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 149837018 and 9.\nAnswer: 149837027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233393 is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tdqqqqqdtqqeqqteqdq. What is prob of sequence dt?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/g**10)))\/g)**(-49)\/(g**(-7)*g*g\/(g\/(g*((g\/(g\/g**(3\/2)))\/g*g)\/g))) assuming g is positive.\nAnswer: g**(989\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12) + (-2*sqrt(768) - sqrt(768))))\/(sqrt(60)\/sqrt(40) - (sqrt(6) + sqrt(216) + -2*sqrt(216)))*-2.\nAnswer: 276*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/20 - s**4\/12 + 7*s**2\/2 - 3*s. Let q be u(0). Solve 0 = r + q - 3, -c - 3*r - 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 16*m - 2. Let b(v) = -49*v + 7. Calculate -4*b(y) - 14*j(y).\nAnswer: -28*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzgqk. Give prob of picking 2 z and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -172, -769, -1764, -3157?\n\"Answer: -199*o**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 535. Let z(n) = -n - 2677. What is -11*j(g) - 2*z(g)?\nAnswer: 2*g - 531","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (11 + 3 + 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 63, 171, 349, 621, 1011, 1543, 2241?\n\"Answer: 4*b**3 - b**2 + 37*b - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.156 + -4.566. Is z equal to -2\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26440240601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 34 + -22 - (0 - (-18 + 8))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:23 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10 = 3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 4*v - 21, -6*t + 23 = -3*t + 4*v. Let r = t - -9. What are the prime factors of ((-68)\/r)\/((-2)\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. Let f be (1 - v) + 0 + 0. What is the derivative of 3 - h - f*h + 0 + 4*h wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9330*c + 20. Suppose -3*u - 3*u = 36. Let s be r(u). What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/15*-17 - (-6)\/(24\/(-52))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3928362 take away 4?\nAnswer: -3928366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - 0.07456569152.\nAnswer: -58.07456569152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -127669.8 rounded to the nearest 100?\nAnswer: -127700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1570548, -1570550, -1570552, -1570554, -1570556?\n\"Answer: -2*p - 1570546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:25 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 7. Let a be n(-4). Calculate the common denominator of (-3)\/(-6)*114\/(-10) and 33\/(-54)*(a - 4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*x - 16 = 0, 3*p = p - x - 8. What is the closest to 0.1 in p, 1\/2, 0.6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16077\/8 - 2013. Let m = v - -3. Let z be (-31)\/5 - 2\/(-10). Which is the second smallest value? (a) m (b) 0.06 (c) 2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(1\/27)*v)**41*v**(-13)*v*(v**(-22)*v)\/v assuming v is positive.\nAnswer: v**(2444\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let j(c) be the third derivative of -c**7\/560 - 2*c**5\/15 + 3*c**2. Let u(g) be the third derivative of j(g). Calculate u(b(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t. Let n(y) = -7*y**2 + 13*y**2 - 5 + 3*y**2 - 6*y**2 + 5*y. Let a(g) = -2*g**2 - 4*g + 4. Let k(d) = -5*a(d) - 4*n(d). Calculate z(k(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + 42 - (-2 - -4 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Let y(w) = -w + 3*w + 0*w - 4*w**2. Let i(a) = -a**2 + a. Calculate u*y(b) - 2*i(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-2)\/6 - 2\/3). Sort 3, -4, f, -5 in ascending order.\nAnswer: -5, -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(1\/2). Let c = 55 - 131. What is the tens digit of c\/s*3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*y + 38 = 0, 3*y = z + 5*y - 58. Differentiate -5*p - z + 13*p + 28 with respect to p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 382376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*a**3 + 51 + 14 - 2142*a**3 - 106 + 41.\nAnswer: -2201*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 153. Suppose -4 = 4*c - 5*c. What is the least common multiple of f\/(-5)*(-10)\/(-4) and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670318 divided by 22?\nAnswer: 30469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 8:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2\/(-4))*(218 - 965536\/4431).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30, -167, -416, -789, -1298?\n\"Answer: -2*y**3 - 44*y**2 + 9*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.859 rounded to zero dps?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from ssssslsllseeesele?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m - 4. Let x be b(-6). Let z be -8 - (2 + -5 + x). Let o = 19 + z. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8*5)\/((-10)\/40). Let w(v) = -2*v + 39. Let n be w(g). Find the second derivative of 99*l**3 - n*l - 99*l**3 - 25*l**5 wrt l.\nAnswer: -500*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7507 + -202685\/27. Sort 0.2, -4, -5, l in descending order.\nAnswer: 0.2, l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4 + 27\/18. What is the highest common factor of 12 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 7. Let w be a(-3). Let m be (w + 1)\/(5\/(-150)). Let n = -33 + m. Put n, -1, -2 in increasing order.\nAnswer: n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times 0.21\nAnswer: -0.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, u: 4, h: 3}. Give prob of picking 1 u and 3 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + v**2)*(v + 2 - 2) + 0*v**2 + v**3 + 0*v**2 - v**3 + 5*v**3 - 3*v**3 + 5 - 2*v**3 - 5.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b - 241 + 156 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 6 + (10 - (-1 - -11)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -28. Which is the biggest value? (a) 0.4 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -437200705 or -437200704?\nAnswer: -437200705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 244\/(-122)*27\/12\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + -71 + (-30 + -4 - -67).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*c - 8745 - 137906, 244360 = 5*t - 5*c. What are the prime factors of t?\nAnswer: 3, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and 0.11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37295 or -4?\nAnswer: -37295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366*c + 155*c + 211*c + 33*c**2.\nAnswer: 33*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -153531 (base 6) to base 13\nAnswer: -6b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 27, 25, 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1394310345 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262077 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 5*q - 18. Let h be l(13). Solve -716 - 501*b**2 - 8*b**4 - 124*b**3 - 159*b**2 + h - 1300*b = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 + 4*c - 2. Let d be p(-5). Suppose 3*t + 14*t = 136. Solve w = d*w + t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 22. Let j be p\/(-6)*1*-2*6. Solve k = -0*k - j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 2, u: 2, q: 2, z: 3}. Give prob of picking 1 a and 1 f.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/36)\/(4\/(-6)). Suppose -4*v + 6 = -5*s, v - 14 = -12*s + 7*s. Sort s, 5, -1, h in descending order.\nAnswer: 5, s, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15845\/30 - (-7)\/(-42). List the prime factors of 96\/o + 5916\/11.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 0.1 (c) 1 (d) 2\/21 (e) 0.2 (f) -46030 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwttwktwttwttwt. Give prob of picking 2 w and 1 k.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 8*s**2 + s. Let o(j) = -26*j**2 + 30*j + 21. Let n(y) = 3*i(y) + o(y). Calculate n(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 - 244178630*y - 2981160167433845.\nAnswer: -5*(y + 24417863)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 + 7*q - 47. Let l be y(5). Let x = 285917\/11 + -26106. Let r = l + x. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 9:09 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.027 - 0.024215. What is f rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9123506701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 9*l - 10*l + 5*x, l + 2*x + 22 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606969*h**2 + 606981*h**2 + 272*h**3 - 1213950*h**2.\nAnswer: 272*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*b + 5*t, -4*b + 6*t - 6 = 4*t. Suppose 3*v - b = 4*v. Let n = 2 - v. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqhqqqhqq. What is prob of picking 1 q and 2 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, a: 1, v: 8}. What is prob of sequence vva?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 0.5, -19\/28, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62122371 not equal to 683346078\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.076 + -3.776. Let a = b + 1.8. Round a to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 93 = 6*h. Let q = h - -58. Let m be -1 + 11 - (-6)\/(-6). What is the greatest common divisor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 11 + u**2 + 0 - 10 - 20*u**3 + 2*u**4 in the form p*u**3 + k*u**2 + r + l*u + v*u**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 168\/13, 1\/9, -2\/7 in descending order.\nAnswer: 168\/13, 1\/9, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 950852315*a**2 + 1353113734 wrt a.\nAnswer: 1901704630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6048 = -1414*v + 1415*v, 5*v = 5*h + 30310. What is the thousands digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 645118*r + 39997119 wrt r?\nAnswer: 645118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + 1116\/(6\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 133673800\/7 and 19096256 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 + 0*c**2 - c**3 - 666 - 423 + 129 - 904 in the form b + j*c + m*c**3 + f*c**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68844 is divided by 34396?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15980 and 3196?\nAnswer: 15980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - 23*l + 36964. Suppose 0 = 3*t - 4*u - 24750 + l, 25805 = 5*t + 2*u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 + 13*r**4\/24 + r**3\/2 - 13*r**2 + 4. Calculate a(-9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57501, -231025, -520233, -925125, -1445701, -2081961?\nAnswer: -2833905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6743.\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 - -212. Calculate 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 the nearest to -1 in -2\/1395, 3, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 9*r**3 - 4*r**3 - 4*r**3. What is t(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/3, 3, 1, -9, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 714\/6*2\/(-26) - (6 + (-1120)\/182).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfcujujfjuj. What is prob of picking 1 c and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 471 = -g, -10*w + 6*w - g = -945. Let n = 290 - w. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5571781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 2*x + 21931. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 8*w + 26*w + w. Let d(m) be the third derivative of 0*m + 0*m**3 + w*m**4 + 2\/45*m**5 - 2\/45*m**6 + 1\/105*m**7 - 3*m**2 + 0. Factor d(o).\nAnswer: 2*o**2*(o - 2)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (100\/5)\/4*3. Let m be (w\/(75\/(-44)))\/((-2)\/25). Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + o - 2, 14*d + 3*o = 10*d - 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 4*j + 3. Suppose -3*d - 3*k = 2*d - 19, -4*k + 16 = 2*d. Let r be b(d). Let u = -7 + 4. Put u, r, 2 in decreasing order.\nAnswer: r, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126 + 166566 = 2929*i - 4433*i for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {y: 1, s: 2, m: 1, v: 3, n: 2, d: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-52)\/(-5))\/(45 - -2). Let p = 1\/47 - x. What is the smallest value in 0, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15448074 to the power of 1\/2, to the nearest integer?\nAnswer: 3930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 1, j: 3, s: 2, w: 10}. What is prob of sequence lsj?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49285382 to the power of 1\/2, to the nearest integer?\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 7}. Give prob of sequence ttt.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 110*u**7\/21 + 691*u**4\/12 - 1506*u**2. What is the second derivative of w(c) wrt c?\nAnswer: 13200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*c + 2336 = 1252 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -764c8b + -2?\nAnswer: -764c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14305707 and 2756.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -1\/4 (c) -1 (d) 1 (e) -2\/7 (f) -13.4448\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 12:19 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/18 (b) 0.5 (c) 4\/795 (d) -52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18316321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 2*y**2 - 1\/35*y**5 + 2\/21*y**3 + 0*y**4 - 1\/105*y**6 + 0 + 0*y. Factor j(z).\nAnswer: -4*(z + 1)**2*(2*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -23. Let i = a - 11. What is the nearest to i in -2, 5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591738 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: Let v(n) = 3*n + 21 - 38 + 18. Let p(c) = 4*c + 1. Calculate 5*p(d) - 8*v(d).\nAnswer: -4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 529 (c) 2\/9 (d) -1.8 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 13)*(0 - 3*s**4 + 0) + (-2*s**3 + 0*s**3 + s**3)*(1 - 2*s - 1) - 98*s + 98*s - 2*s**3 + 2*s**4 + 2*s**2.\nAnswer: -8*s**4 - 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -154*s + 157*s + 15, -15*s + 87*s + 2*g + 444 = -3*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 707\/153 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5 + 704*i**4 - 93488*i**3 + 4335488*i**2 - 87793664*i + 661520384 = 0.\nAnswer: -824, 28, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6562a + -1?\nAnswer: -6562b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -26, -48, -90, -158, -258, -396, -578?\n\"Answer: -v**3 - v**2 + 2*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v. Suppose -3*x = -5*b - 1, -x = 2*b - b - 3. Let y be a(b). Suppose -2*k - y*w = -6, 29 = -k + 2*k - 4*w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 5) to base 2.\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10804 and 12646?\nAnswer: 68313692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1326*3\nAnswer: -0.3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/4)\/(1\/27). Let u = 0.94 + -0.84. Which is the closest to u? (a) m (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13061 - 4490 - 5168)*(-3*b + 3*b + 2*b) to h*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -57. Suppose f*l - 1452 = 684. List the prime factors of l.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -3 - -2) + (-6 - (11 + 0)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*d - 171. Let v be (d*(-4 - -5))\/(-1). Let s = 74 + v. Solve -2*y = -5*i - s, -24 = 3*y + 5*i - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18144534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -109, -87, -45, 17, 99, 201?\n\"Answer: 10*l**2 - 8*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*q**2 + 981*q**2 - 321*q**2 - 327*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 7895 = w, -1977 = m - 0*m + 3*w. Is 1 + -1 - m\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from kjjkjkkkzjj.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -49*s**6\/60 + 13*s**5\/60 + s**4\/8 + s**3\/2 - 5*s**2 + 1. Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1109*b + 2829. Calculate the smallest common multiple of 138 and c(0).\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1794589877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13542491?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/468 in 1\/3, 2\/41, -5, 111?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 0. Let q = 13 + -9. Let n(g) = -q*g + 4 + g - 2 + 4*g. What is n(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 17*k - 4*j, -2*k + 2*j = 3*k. Solve 0 = -5*p - 5*c - 6 + 1, k = -4*p - c - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0.3 (c) -99 (d) -1589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/10 (b) 161 (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562056.\nAnswer: 2, 3, 11, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(28) - (sqrt(7) + (sqrt(42)\/(sqrt(18)\/sqrt(3)))**2)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22828 - -22827. Suppose 0 = 4*b + 7*o - 2*o - 164, 5*b - 172 = 2*o. Let s = 51 - b. Put 5, n, -2, s in decreasing order.\nAnswer: s, 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 2 - 2 + (b + 2*b - 5*b)*(-2 + 1 + 0) + (3 - 3*b - 3)*(-17 - 33 + 76) + 4*b - 3 + 3 to q + c*b and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 7*y**2 + y + 9. Let f be j(-7). Let k = f - 0. Suppose 0 = o - 4, 0*l - k*l + 5*o - 4 = 0. Calculate the highest common divisor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 2*n**2 + 2*n - 3. Let i(g) = -4*g**3 - 8*g**2 - 9*g + 13. Suppose 29*m = 26*m + 6. What is m*i(h) + 9*p(h)?\nAnswer: h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11686 + 11693. Let d(h) be the third derivative of -h**4\/12 - 2*h**3\/3 - h**2. Let l be d(-3). Solve 4*b + 4*j = -32, 3*b - 4*j - s = l*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*k = -239*k + 1218 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 47*i**2 + 6*i - 6. Let x(c) = -2*c**3 + 36*c**2 + 6*c - 7. Give -3*g(r) + 4*x(r).\nAnswer: -2*r**3 + 3*r**2 + 6*r - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104\/18*1086\/2353?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.9 - 20.4. Which is the closest to 1\/4? (a) o (b) -1 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.014, 231, 8\/11?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99608 divided by 4.\nAnswer: 24902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urrururqrrqrrpru. Give prob of sequence rr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 149?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:38 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4383 - -4366.936. Let k = a - -16. Let j = -0.554 - k. Round j to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 24?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*f**5 - 128\/5*f + 0 + 12*f**2 - 12*f**4 + 26*f**3 = 0.\nAnswer: -32, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*x - 14720 = 22*x + 51*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 + 2*x - 3. Let d(q) = -4*q**2 + 3*q - 4. Calculate 4*d(p) - 5*z(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 2149459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -18*u + 170. Determine c(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 72\/(-6) + ((-68061)\/406)\/(-21)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)\/o*o*o)**(-6\/13)*o**6*(o\/(o\/(o\/(o\/(o*o**32*o)*o))))\/o assuming o is positive.\nAnswer: o**(11212\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-1 + sqrt(2))*3 - sqrt(2))*4)**2.\nAnswer: -160*sqrt(2) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25*l - 10. Let q be u(7). Suppose 0*o = -3*o + 12. Suppose o*g + g = q. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1926*w**4 - 17*w**3 - 178869.\nAnswer: -7704*w**3 - 51*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d = -33*d - 42*d + 3706 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k + 3. Let p(y) = -5*y**2 + 3*y - 205. What is p(a) - 2*w(a)?\nAnswer: -3*a**2 + a - 211","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, d: 1, k: 4, q: 1, i: 1}. Give prob of picking 1 m, 1 q, and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2221021112 + 130?\nAnswer: 2221021242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57488 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224 - 22431?\nAnswer: -23210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1010122?\nAnswer: 1010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**2 - 9*w + 3. Let q(f) = -f**2 + f + 1. Let h(i) = 0 + 5 - 10*i**2 - 4 - 16*i. Let p(g) = -h(g) - 3*q(g). Determine -7*a(t) - 5*p(t).\nAnswer: -2*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15401 - 13308. Is u smaller than 2093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309013 to the power of 1\/2, to the nearest integer?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 580 - 571. Suppose -16*k = y*k - 22975. What are the prime factors of k?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 7050483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 - 13211233?\nAnswer: -13211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2 - 2 + 3*l**2 - 43*l.\nAnswer: l**2 - 43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssss. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 - 5*u. Let s(o) = -2*o**3 - 7*o**2 + 10*o - 1. Let f(v) = -2*s(v) - 5*z(v). Calculate the remainder when 45 is divided by f(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -46 + 29 + 29 + -10. Let p = 5 - 2. Solve -3*h + p = -4*r + 2, -g*r - h - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24432 less than 19123082?\nAnswer: 19147514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 106, 166, 242, 340, 466, 626?\n\"Answer: x**3 - x**2 + 46*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05847 + -56556.\nAnswer: -56555.94153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510838 and 2?\nAnswer: 510838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 124\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (7 - (2 + 3)) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n\/n**32*n assuming n is positive.\nAnswer: n**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * 1080375.\nAnswer: 75626.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 47128 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 1111000111010011?\nAnswer: -1111000111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10*((-21)\/7 - 7). Suppose 5*x = -3*u - 2 - 63, o*x = -4*u - 52. Is 1691 + -1 + 16 + x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/120 - t**5\/30 + 11*t**4\/12 - 2*t**3 + 2*t**2 + 4*t. Let l be x(-6). Solve 8 = 2*q - l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6295 - 6297. Which is the nearest to r? (a) 0.4 (b) -1.4 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (68\/(-663))\/((-8)\/12)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 7*u**2 + 4*u + 26. Let l be g(-7). Is (7 + -9)\/(l - (-3144)\/1574) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 14*w + 3*w**2 - 20*w + 7. Is 2 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 149730607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011891 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + a + 0*a)*(96*a - 303*a - 2 - 32*a).\nAnswer: 1434*a**2 + 12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 142 = -5*u, -3*u - 77 = -k + 55. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*l = 602*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1016\/155 + 228\/31. Which is the biggest value? (a) 13 (b) 0 (c) 0.14 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1.379\nAnswer: -9.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2. Let v(m) = -7*m**2. Let x(f) = 3*a(f) + 3*v(f). Let t(n) = -4*n. Calculate t(x(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -9*r + 8. Suppose 8*i = r + 6. Is 3 a factor of i\/(-4) - ((-5)\/4 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992*a - 9106 = 23891 + 17867 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 161?\nAnswer: -15d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 298579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 10*q = -4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*y - 176. Let x = 372 - 54. Let f = x - y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*d**4*t**2 - 10*d*t**2 - 221*d - 6*t**2 + 8*t - 750 wrt d?\nAnswer: -88*d**3*t**2 - 10*t**2 - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 6. Let h = w - 7. Suppose u + h*r = 9, 8 + 1 = u + r. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.34 + -0.08. Let i = f - -0.04. Let r(d) = d**2 + 8*d + 6. Let t be r(-7). Which is the closest to t? (a) 0.1 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131, -140, -163, -206, -275?\n\"Answer: -t**3 - t**2 + t - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232973032.\nAnswer: 2, 17, 83, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29386061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817.42 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 4*k**6\/135 - 2*k**5\/45 - k**4\/18 + 4*k**3\/27 - k**2\/9 + 18*k. Solve r(c) = 0 for c.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:23 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783771 is divided by 1240.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00351754248 rounded to 7 dps?\nAnswer: -0.0035175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9630307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2\/9, 18.9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -5439.\nAnswer: 11\/5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*p = -282*p - 567*p + 220*p - 35412 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 - 4*l**2 + 2. Let v = -1 + 3. Let m be v*(2 + 14\/(-4)). Is 10 a factor of x(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 18*b**2 + 2*b - 2 - 18*b**2 + 7*b**2.\nAnswer: 7*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 1\/4, -7, -2\/17, -4, -6.758?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y. Let p(u) = -u**3 - 4*u**2 + 8*u - 2. Let d(m) = -3*b(m) - p(m). Let c be d(-5). Let q = 6 - c. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13 and 22\/173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1682658*q - 3*c = -1682660*q - 3, 0 = -c + 5 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1290*-3\nAnswer: -3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.580643km in meters?\nAnswer: 5580.643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ququqqqqqquqqqq. Give prob of picking 3 q.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 959\/2 - 479. Let h = -26 + 808\/31. Let n be 3*-1*(-4)\/(-14). Put -1, n, w, h in ascending order.\nAnswer: -1, n, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0*b**2 + 0 + 0*b**4 + 3*b - 1\/15*b**6 + 2\/3*b**3 + 0*b**5. What is the second derivative of l(j) wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 51. Suppose 5*q - 848 - 110 = -r*y, 0 = 3*y - 3. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7253 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 435*i - 1413. Calculate the remainder when b(4) is divided by 157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + -4 + (sqrt(171) - (sqrt(171) + -2*(sqrt(171) + 1 + sqrt(171)))) + sqrt(171) + -2*(6*(sqrt(171) + sqrt(171)*2) + -5))**2.\nAnswer: -164412 + 1674*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 7*w**2 - 9*w - 7. Let f be p(9). Let y = 14 + f. Let r = -50 + y. What is the highest common divisor of 76 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -7*t + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3 + 601804*t**2 - 22553133568*t - 6201938700048 = 0. Calculate t.\nAnswer: -273, 75362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254 + 9 - -10 - (1 - 1)?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1960 + 1976. What is the greatest common divisor of 152 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3364*f**2\/9 + 232*f\/3 - 4 = 0. What is f?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -62.8 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 5\/6, -4\/13, -49.334 in decreasing order.\nAnswer: 5\/6, 4\/5, -4\/13, -49.334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 698993031?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 357.59 and -704.\nAnswer: -346.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 59521.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1575 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 f when four letters picked without replacement from tyyyyyyftffft.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 - 32*g - 24 - 121.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*d - 3*d. Suppose -2*s - d = -3*s. What is the least common multiple of 1 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268e1e (base 15) to base 12.\nAnswer: -75419b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + g**2 - 19. Calculate z(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 34*h - 1. Let g(u) = -9954456 + 9954456 - 4*u. Determine c(g(j)).\nAnswer: -136*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -5*j + 81\/4*j**4 + 2*j**2 - 6 + 2*j**3. Let a be q(-5). Round a to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -20*s**2 - 5*s - 1. Let v(o) = -17*o**2 - 4*o - 2. Let t(j) = 5*b(j) - 6*v(j). Let l(k) = k**3 - k**2 + k - 1. Give 2*l(m) + t(m).\nAnswer: 2*m**3 + m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 + 1 + -18 + 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 403*h**2 - 27265*h + 258. What is c(86)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/18)\/11*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-1) - 938\/(-67).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i - 241 = -5*y, -44*i = -5*y - 41*i + 43. Put y, 0, -17, 4, -5 in descending order.\nAnswer: y, 4, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 - 2*f**2 - 4*f**2)*(f**2 + 2 - 4 - 2387*f + 2373*f) to the form m*f**3 + n*f**2 + p*f**4 + u*f + z and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -1.0611, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 167057*f**3 - 9*f**2 - 167067*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3416 + -3412. Solve -96 = -f*n + 20*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3187, 12758, 28709, 51040, 79751?\n\"Answer: 3190*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 - 7*r - 9 + 9 - 3*r**3 + 9*r**2 + 16. Is 8 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -1 - (7 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(171)*-3)**2 - (sqrt(19) + -3)*-3) - -1*(sqrt(114) + -5*sqrt(114)*-2)\/(4*2*sqrt(6)).\nAnswer: 35*sqrt(19)\/8 + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(125 - 153).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -1\/3*b**3 + 0*b**2 + 0*b - 4. Let g(w) be the first derivative of 3*w**2\/2 - 32. What is g(j(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b**(-8\/17)\/b))*b*b**(-42)\/b*(b*b\/b**(-18)*b)\/(((b**(2\/15)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(-4744\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -d - 6, 3 = -d + 2*z. Suppose -k = -2*k + 6. Find the third derivative of -6*i**k + 0*i**6 + i**3 - 6*i**2 - i**d wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u - 44. Determine w(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 70. What is the highest common factor of 44 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -919628, -1839613, -2759598?\nAnswer: -3679583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 8*t**2 - 13*t - 1. Let o be y(-6). Solve o*f - 6 = i + i, -i = -2*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-90))\/(-4)*(-18)\/(-6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(-83*y**3 - 50*y**3 - 37*y**3)*(4 - 4 - 3) in the form s*y + u*y**2 + l + d*y**3 and give d.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3 (b) -9 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3924, -7169, -9746, -11655, -12896?\nAnswer: -13469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 460197*205\nAnswer: 94340385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.840832 years in millennia?\nAnswer: 0.001840832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 180*k**4 + 86*k**3\/3 - k**2\/2 - 811. What is the third derivative of q(g) wrt g?\nAnswer: 4320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*s - 12, -3*s + 12 = 2*s - 4*i. Let k be (4\/(-6))\/((-2)\/9). Let m be (-3)\/(-1) + (-12)\/3. Put s, k, m in increasing order.\nAnswer: m, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/36 + (-4)\/6. Suppose r = 4, -4*s - 3*r - 12 = -r. Which is the nearest to 1? (a) 4\/7 (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 - 3*o. Let m be k(2). Suppose 25 + 23 = m*a + 5*u, -3*a + 3*u + 93 = 0. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/20*68310\/(-1782)?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 22*t. Let s(g) = 1746*g - 1809. Let b(n) = -2*l(n) + s(n). What is the derivative of b(y) wrt y?\nAnswer: 1702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/264 and 97\/138?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 50707 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 124303*v**2. Let f(y) = -4*y**2. Give x(f(b)).\nAnswer: 1988848*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1597276133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3883310 divided by -228430?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 = 1, -4*b = -2*v - 10. Let s be (5\/10)\/(1\/2). Solve s = -b*l - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38078659501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 1, m: 6, r: 2}. What is prob of picking 1 u and 2 q?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 84491883?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/436 - -173\/6540. Let h(j) be the third derivative of 1\/10*j**5 + 0*j + 0*j**3 - y*j**6 + 0 + 0*j**4 - 2*j**2. Find the third derivative of h(p) wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.7 in 4\/7, 0.3, 1, -0.4, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 5*n**2 + n + 2. Suppose -20*o = -11*o - 54. Suppose 0 = -26*r + o*r + 100. Give q(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135 + u - u**2 + 49 + u**3 + 16*u**4 + 44 + 43 to the form p*u**3 + o*u**4 + j*u**2 + k*u + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -44*v + 2*v + 528 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 28*d. Let c = -98 - -101. Suppose -3*v - 10 - 11 = -c*h, 3*h = v + 11. Let n(u) = u**h + 117 - 117. What is t(n(p))?\nAnswer: p**4 - 28*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(4\/11)*f*f**(-13))\/((f\/f**(2\/17))\/((f*f**(-4\/7)*f)\/f)) assuming f is positive.\nAnswer: f**(-15469\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268232 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 399 + 19*r + 20*r - 399. What is the tens digit of t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72723766?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -543516982.83778 + 10964.83778. Let c = j - -543505967.00000016. Let n = c - -51. What is n rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, 42, 116, 190, 264, 338?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/18 - (6902\/48960*-235 - -33).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 6) + (-10)\/((-480)\/348). Which is the nearest to 0.1? (a) -135 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 14\/2 - 0. Suppose o*u - 19 - 1 = 0. Suppose 0 = x + u - 10. Solve x*t + 0*t - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 8 = 10*h + v, 17 = -h - 5*v. Let d be 8\/h*((-10)\/(-8) + 1). Calculate the greatest common factor of 4 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55175888.\nAnswer: 2, 653, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(56)\/sqrt(7) - sqrt(2)) + sqrt(2) + sqrt(2) + sqrt(4)\/(sqrt(4)\/sqrt(2)) + sqrt(2))**2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-182)*26*(-2)\/(20\/95).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-348)\/20)\/((-405)\/(-2850)). Which is smaller: r or -122?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 - 2*x**2 - 2*x + 2. Let u be q(-2). Suppose -u = -3*b + 72. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145497173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 259 (base 10) to base 3\nAnswer: 100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = -1, -j - 80 = -m. Let c = 231 - m. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 286 = 3*h. Which is bigger: h or 137\/6?\nAnswer: 137\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1032?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**7\/735 + f**6\/420 - f**5\/210 - f**4\/84 - 4*f**2. Factor q(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 4) in base 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose 8 + 19 = 3*a. Suppose t = 3*y + a, -5*y - t - 7 = 8. Sort 5, y, j.\nAnswer: y, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n**2 - 594*n - 5. Let d(b) = -4*b**2 - b - 1. Give -4*d(c) + x(c).\nAnswer: -2*c**2 - 590*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -3098 and -6\/13 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-252) - 3\/(-12)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(5)) + -1 + -1 + sqrt(5).\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -639 - -1078. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1277 - 62?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2)*(8 - -2). Suppose 0*y - 18 = -y. Let i = x + y. Solve -2*z + 4*z = i for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 360?\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:30 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 4 - 6)*(-f**2 - 2*f**3 + f**2) - 3*f**3 + 3*f - 3*f to p*f**3 + w*f + v*f**2 + d and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 1. Let r(n) = -707 - 15*n**2 - 699 + 1421 + 20*n**3. Determine -r(k) - 15*t(k).\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.61125 - -27.290702. Let u = 6.68 - f. Round u to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*r + 3*r. Suppose 3*p - r*k = -0*k + 18, -5*k = -p - 6. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192.027603 + 55.97258. Let p = -0.338 - 247.662. Let c = x + p. Round c to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -2*c + 1648. Let h = 562 - c. Suppose 3*r + r = 3*l + h, -5*r + 4*l = -959. List the prime factors of r.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)*k\/k**(3\/8) assuming k is positive.\nAnswer: k**(-75\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 30*r - 186. Give h(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062992641 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/10142172 and -151\/9390900.\nAnswer: 253554300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h + 3*r + 11, 10321*r - 10324*r = -h + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5763 (base 9) to base 3\nAnswer: -12212010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20794, -2\/5, 2\/7 in descending order.\nAnswer: 2\/7, -2\/5, -20794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 7 - 7)*(-8*t**2 - 17*t**2 + 6*t**2 + (-1 - t + 1)*(t + 2*t - 4*t) - 10*t**2 + 9 - 9) as q*t**3 + w*t + o + d*t**2 and give q.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7271, -16990, -29161, -43784?\nAnswer: -60859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284409076 is divided by 25855370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2457*q**2 + 20*q + 34. Let t be c(-2). Let l = t - 1675. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27896 is divided by 13946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h + h**2 - 3*h**2)*(1 - 1 + h).\nAnswer: -h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*p + 4*w = 375*p + 39, 31 = -4*p + 3*w for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*t + 114*t + 142*t - 438*t.\nAnswer: -661*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.118409 to three decimal places.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 10*q = 0. Suppose q = 4*s - 8, -3*f + 3*s - 5 = -11. Suppose -f*r + 105 - 21 = 0. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*q - 19*q - 17*q + 194*q.\nAnswer: 82*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.1. Let p = -0.0267822 - 0.9732178. What is the third biggest value in p, r, -0.3, -38?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 7339*j - 792621. Give w(108).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 11*r**2 + 2*r + 119. Let j be f(-10). Is j smaller than -10\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 4*n - 48 = 0. Suppose -8232 = -n*q + 9152. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1026, -892, -760, -630, -502, -376, -252?\n\"Answer: -m**2 + 137*m - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 179679*u*v**4 + 2*u*v**2 - 1430341*u + 3*v**2 wrt v?\nAnswer: 718716*u*v**3 + 4*u*v + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*v + 5*v - v)*(-v - 14 - 1 + 6) as d*v**2 + c + n*v and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6475 and 28675?\nAnswer: 200725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 28*w - 1824. What is the smallest common multiple of 114 and w?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/5, -1\/19, -2\/23, -48, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89 + 4*q + 97 - 7*q to j + r*q and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26189 is divided by 13090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2161\/462 - 124\/21. Calculate the common denominator of u and -27\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence de when two letters picked without replacement from enmqetd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.1749896 to two decimal places.\nAnswer: 28.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/120 and 1\/3040.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-1 - (3 + -2)) - (107 - 114).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 9756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1797\/4, 0, 20, -6\/5, 1 in descending order.\nAnswer: 1797\/4, 20, 1, 0, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:31 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5 - 5*l**4\/2 - 20*l**3\/3 + 5*l**2 + 15*l + 25. Factor r(c).\nAnswer: 5*(c - 3)*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 32 = -2*a, 2*d - 32 + 7 = -a. Solve d*h + 347 = 392 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6413 * -16173.\nAnswer: 103717449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20472341114*t**2 - 20472341112*t**2 + 5*t - 5*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17975 and 3.9.\nAnswer: -17971.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 7. Let z = -0.02 + 0. Let s = -4.02 - z. Which is the third biggest value? (a) n (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561*o = 181*o - 291*o - 10736 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q. Let y be 49*((-3)\/3 - q)*-1. Suppose -5*v - y = -734. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11815 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 - (-10)\/(-45). Let y be -4 + 2 + o - 0. Let v = -1708 - -1709. Which is the nearest to -1? (a) -1 (b) y (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 5*v + 5. Let s = -3 + 98. Suppose 12 = 3*y, x - 6*x + 5*y = s. Let r(o) = -o + 1. Let b be 3\/60 + 3475\/500 + -4. Give b*f(l) + x*r(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (3 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 times -0.01?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2923 + r + 2864 - 5726.\nAnswer: r + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/6 and -143\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1991 at most -1990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -571*w = -563*w + 40. Put w, 1, -3, -4 in ascending order.\nAnswer: w, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -0.4 (c) -1221 (d) -0.5 (e) 33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 + 2965*b + 8940 = 0.\nAnswer: -3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2212 + -1471. Suppose -9*y - p = -28*y. What is the remainder when 71 is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**4 - 4*c**3 - 171*c**2 - 17*c. Let p(z) = -3*z**4 - z**3 - 57*z**2 - 6*z. Let j(f) = -6*d(f) + 17*p(f). Find the third derivative of j(g) wrt g.\nAnswer: 72*g + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3 + 0 + 0 + 31*r**2 in the form m*r + k*r**2 + x and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5907769225.\nAnswer: 5, 131, 739, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 7}. Give prob of picking 4 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -30\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -19*j + 445. Calculate the smallest common multiple of x(20) and 75.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 201840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7960053?\nAnswer: 3, 2653351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4771, 4749, 4701, 4615, 4479, 4281?\n\"Answer: -2*x**3 - x**2 - 5*x + 4779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24940442 divided by -1.\nAnswer: 24940442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163.7174 + 0.3826. Let p = 164 - o. What is the third biggest value in -131, -1, p?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0147 times 976.491\nAnswer: -14.3544177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -3*v**2\/2 - 2*v - 5. Let d be s(-6). Let c = d - 13. Solve -4*f = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -s - 6, -2*s - 11 = 2*t - 7. Sort 9, -5, s in decreasing order.\nAnswer: 9, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*n**5 + 612*n - 612*n + (-9 + 5 - 14)*(-3 + 0 + 5)*(-6*n + 6*n - 5*n**5).\nAnswer: 169*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2.3. Let l = -0.5 - -4.5. Let d = l - i. Which is the second biggest value? (a) d (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1930 - 48*u - 1930)*(-u**3 + 0*u**3 - u**3) + 2 + 3*u - u**4 - 3*u.\nAnswer: 95*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 451028110 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*4\/(-3). Solve -p*m**2 + 4\/3 + 2\/3*m = 0 for m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1034, 2090, 3146, 4202, 5258?\nAnswer: 6314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4831326 + 813326 = 0. Round g to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/2*2*6\/(-48).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 3.6. Let m = 0.142 - 0.042. Which is the closest to m? (a) -5 (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.98227 days to nanoseconds.\nAnswer: 2504068128000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -44*p + p**2 + 2*p**2 + 39*p. Let k(w) = 7*w**2 + 4*w**2 - 5*w**2 - 9*w. Let d(b) = -5*k(b) + 9*y(b). Let n(l) = 2*l. Determine d(n(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7*q = 286. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 26. Let l be 2 - (-7)\/(-3) - g\/3. Solve 7*f**2 + l*f**3 - 6*f**2 - f**3 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03364250819 + 0.09.\nAnswer: 0.05635749181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30478987 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + -6. What is the common denominator of -86*5\/96 - 50\/(-75) and 2\/(-5) + c\/(-20)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2.2, -4, -1\/4 in decreasing order.\nAnswer: 0.4, -1\/4, -2.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6249, 25284, 57507, 103326, 163149, 237384, 326439, 430722?\n\"Answer: 68*a**3 + 6186*a**2 + a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 126 = -3*d. Solve 4*g - d = b, 2*g - 4*b - 5 = 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.79 - -0.21. Let s = 1.9 - m. Let z be (5\/(-4) + 1)*-2. What is the second biggest value in s, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.30072 to two dps.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 + 17. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19893.91 to the nearest one hundred.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((3 + -3 + 1)*0)\/(-1). Solve v = x - 7 + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4 = 4*b, -2*f + 1 = b - 4*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i - i + i + (1 + 3 - 5)*(i + 2*i - i) - i + 0*i - i)*(-i + i - i**3) to the form c*i + w + o*i**3 + d*i**2 + n*i**4 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -715070 divided by 3109\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a + 12. Suppose -4*x = 3*h + 2 + 26, 2*x = -8. What is the lowest common multiple of 28 and c(h)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276369423?\nAnswer: 3, 11, 1601, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2235436?\nAnswer: -2235431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166961 and 954802?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3641753 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-14))\/(1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -2. What is the highest common factor of s and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 148 = -17*h, 2*p = -2*h + 944 - 934 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(637) + 3 + sqrt(637))*-4 + (-2*(sqrt(637) + 2) - -2*sqrt(637)*-2))**2.\nAnswer: -124916 - 1568*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 2*g + g, -5*h + 16 = 4*g. Let y(r) be the second derivative of 5\/6*r**3 + 0 - 2*r + h*r**2. Let d(b) = -2*b**2. Calculate d(y(j)).\nAnswer: -50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9342*l**3*o**4 + 8*l**3 - 42*l**2 - 2*l + 21*o**4 + o - 4 wrt o.\nAnswer: 112104*l**3*o**2 + 252*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228 - 131. Let l(y) = y**2 - y - 66. Let z be l(0). Let o = d + z. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15718 and 163684?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159659788 to the nearest integer?\nAnswer: 34054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 5*c + 750 = 0. Solve -4*y - y = -c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(704) + -2 + sqrt(704)*-1 + -4)*-1 + -3*(sqrt(704) - 4*sqrt(704)) + 0 + 0)**2.\nAnswer: 864*sqrt(11) + 57060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 3*m + 1. Determine y(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1618ab (base 16) in base 11?\nAnswer: -8a9a91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 836.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98381435?\nAnswer: 5, 563, 34949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5*k**(-3)*(k**1)**(-3\/20))**(1\/5))**(11\/7) assuming k is positive.\nAnswer: k**(407\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -28435, 2 in decreasing order.\nAnswer: 91, 2, -28435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 706.6087 hours?\nAnswer: 2543791.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.4409 tonnes in milligrams?\nAnswer: 905440900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**2 + 12*s**2 - 17*s**2 - 237*s**3 + 234*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by 139.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71790971.\nAnswer: 7, 1097, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1173 + -1145 + (5 + -47 - 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 587259.\nAnswer: 2349036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3219 + -1647. Suppose -2*b = 2*m - 770, -2*b - 2*b - x = -4*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**3 - 3*w**3 + w**3)*(-w + 0 + 0) + 2*w**4 - 4*w**3 + 4*w**3 + w**4 - 262*w**3 + 15*w + 262*w**3 to s*w**4 + u*w**2 + y + z*w**3 + h*w and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 33.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3bd?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1))**(-27))**(-46))**(-1\/71) assuming y is positive.\nAnswer: y**(1242\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -7*a - h - 20, -5*a + 4*h = 46. What is the hundreds digit of 8 + (3000\/8 - a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 + 4*q + 8. What is a(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*k, 7*c + 3*k = 2*c + 54. Calculate the smallest common multiple of c and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 14*r + 73 - 103 = i, -4*r = 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 7:57 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1497.5+0.12\nAnswer: -1497.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3299, 13846, 31431, 56054?\n\"Answer: 3519*v**2 - 10*v - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565005 + 0.5.\nAnswer: 565005.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b + -3a73?\nAnswer: -3a7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {e: 2, t: 2, k: 4, h: 6, m: 1, d: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*k**2 + 197*k**2 + 253*k**2.\nAnswer: 299*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiifibiibbiibiibfii. What is prob of picking 2 b and 2 i?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(228) - sqrt(228)*-2)\/sqrt(12))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/21749320 and 123\/65510.\nAnswer: 21749320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 89*z + 812. Let p be v(-97). Calculate the greatest common divisor of 1348 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2069 is divided by 347?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**2 - 5*o + 5. Let z(a) = 14*a**2 - 6*a + 6. Let b(u) = -6*h(u) + 5*z(u). Let p(t) = -67*t - 1. What is b(p(v))?\nAnswer: -8978*v**2 - 268*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8866*y + 102*y**2 + 8866*y + (-1 + 1 + 2*y)*(0*y + 5*y - 3*y) + 2*y**2 - 5*y + 5*y.\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15007600 - 25967600. What is m rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64.2 + 77. Let j = w + -159.8. Let m = 147.000097 + j. Round m to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/35, 1\/21, 2\/11, 0.4.\nAnswer: 1\/21, 2\/35, 2\/11, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -233990.\nAnswer: 3\/233990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -1.05. Which is the second biggest value? (a) o (b) -6\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 0 in decreasing order.\nAnswer: 13, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 + 3*n - 3*n)*(-4 - 1 + 0) + 5 + n**2 - 3 - 3)*(1 + 4 - 7)*(-5 - 3 + 3).\nAnswer: -40*n**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284705874 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -5885 (c) -0.2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-2 + 1)*1. Let b be 5 - t\/(-1 - 2). Suppose -8*y + 14 = -30*y + 80. Solve -i + f = b*f + y, 0 = 5*f + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109578, -219155, -328732?\nAnswer: -438309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.7 (b) -4 (c) -1273 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 2*o**7\/735 + 2*o**6\/21 + o**5\/3 - 10*o**4\/21 - 24*o**3\/7 + 2*o**2 + 311*o. Determine k so that m(k) = 0.\nAnswer: -18, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -275 - 16*y**2 + 275 + (-6*y + y - 8*y)*(-y - 1 + 1).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 15. Let i be (f\/(-10))\/((-7)\/(-2)). Let q = 67 - 66.6. Put q, -1, i in decreasing order.\nAnswer: q, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -131 - -6?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o + 53788 + 341202. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 13*p - 9*p**2 - 12 + 8*p**2. Let z be d(9). Let f = z + 20. Solve -2*u - f = 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606.0727kg to nanograms.\nAnswer: 606072700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.1 + -1.1. Let h = 27\/26 - 7\/13. Which is the nearest to h? (a) -1\/2 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 382 = -374 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:21 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -2*m - 16, 104*w = 99*w + 5*m - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/19))\/(((i\/i**(-4\/7)*i)\/i)\/i)*(i\/i**(-4))\/i**(-4\/3)*(i*i**(-4\/7)*i*i**(5\/4))**(-4\/7) assuming i is positive.\nAnswer: i**(14905\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000101111011 + -1?\nAnswer: -10000101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146.9 - -147. Let g = 77.21 + -78. Let h = 0.79 + g. Which is the closest to h? (a) s (b) -2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 10, a: 2, x: 3}. What is prob of picking 3 l and 1 b?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times 24932042\nAnswer: 8726214.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*g + 2 + 1 = 0, 2*g + 8 = 4*i. What are the prime factors of 1 + i + 2*1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216822702*s - 433645443*s + 216822707*s.\nAnswer: -34*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -196, -1, 0 in decreasing order.\nAnswer: 0, -1, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 42 - 29)*(-5*r - r + 3*r + (-r + 1 - 1)*(5 + 0 - 1))*(2 + 1 - 2).\nAnswer: -91*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-136)\/748 - (-4)\/22. Is (t + 1)*501\/6*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-744)\/(-112)*(-2)\/(-6) and 27\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 15. Let y = -10 + i. Let d be (-4)\/(-10) + (-8)\/30. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*v = -52*v + 1410 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b - 23. What is the smallest common multiple of 2\/(-8) - 26\/(-8) and t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53957, -215773, -485449, -862985, -1348381, -1941637, -2642753?\nAnswer: -3451729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12481 - 5645. List the prime factors of (-96)\/(-624) - (2 + b\/(-13)).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 571*q = 1089*q - 561*q - 215. Let i(y) be the first derivative of -y**3\/3 - y**2 - 1. Calculate i(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202480 (base 12) in base 15?\nAnswer: 115c953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 + 714?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21849*g**4 - 177*g**2 - 31*g - 1 wrt g.\nAnswer: -524376*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 2\/15 (c) 3 (d) 2\/73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -271, -2, 16, 10, 3 in increasing order.\nAnswer: -271, -5, -4, -2, 3, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080114304.\nAnswer: 2, 1327, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -335640 and -1\/214 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.4. Let z be (-12)\/90*(-10)\/6. Which is the closest to t? (a) z (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.0151?\nAnswer: 0.0849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8562121.3 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/18 in -3, -1\/7, 0.6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 20*u**2 - 2*u - 3*u**4 + 17*u**2 - 36*u**2 + 2 - 2*u + 0*u to g*u**2 + o*u**4 + p + s*u**3 + n*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((6 - 2) + -3) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2768143, 5536052, 8303957, 11071858, 13839755, 16607648, 19375537?\n\"Answer: -2*l**2 + 2767915*l + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3957696, 7915175, 11872654, 15830133, 19787612, 23745091?\nAnswer: 27702570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17700629 to the nearest integer?\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4365183503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, m: 12}. Give prob of sequence iiii.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -18*u - 100*u**2 + 56*u**2 + 57*u**2 - 1. List the prime factors of t(7).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 8) to base 3\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 319 = w + 2*w, 5*w = 5*m + 535. Let q be (70\/w)\/((-11)\/(-9)). Are 10 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0 + 10 = 0. Suppose l*b = 5*b + 39. Let c = -9 - b. Is c greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**5\/60 + x**4\/12 + 16*x**3\/3 + 14*x**2. Let y(n) = 63*n**2 - n. What is the remainder when y(1) is divided by f(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efzre. Give prob of picking 1 z, 2 e, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:15 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 3 = 7*q. Let i be (q\/(-3))\/(26\/14586). Let j(t) = -t**2 + 10*t + 1. Let y be j(8). What is the highest common divisor of y and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u - 14. Let l be t(-11). Let q = -33 + l. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14*t = -20. Solve 0 = -4*l - t - 10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 3:04 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3083*s + s**2 - 429*s**3 + 2321 - 363 - 3084*s wrt s?\nAnswer: -2574*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65537 is divided by 512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3196 and 135736.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*o = -51, 12 = 2*t - o - 11. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 10:20 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d + 10. Let z be d\/2 + 2 - 0. Let h be (-165)\/4 - z\/12. What is h rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265513300 rounded to the nearest 100000?\nAnswer: 265500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Let t(a) be the second derivative of a**5\/4 - a**4\/12 + a**3\/6 - a. Let d be t(1). Let i(o) = 3*o**2 - 3*o**2 - 2*o**2 + d*o**2. Give r(i(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+400\nAnswer: 398.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-3 + -7)) + (3 + 4 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 take away 55358802438?\nAnswer: -55358802438.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = -w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 31. Let t = d - -67. Solve -2*x - t*h + 9 = -x, h = -x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*c - 47*c + 61*c + (-1 + 1 + 1)*(-6*c + 3*c + c) - 5*c + 2*c + 2*c as p + w*c and give w.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, -1, -3\/8, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 196*s**3 + s**2 - 5*s - 5. What is h(-1)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 5*k + 3*k + (-3 + 3 - 1)*(-3 + 3 - 3*k) to v*k + b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375144 and 10596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 68. Let r(x) = -8*x - 5. Let p be r(k). Let l = p - -27. Solve g = 4*g + l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) 0.4 (c) 1\/523\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 < -2591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*n**3 + 1624\/3 + 200\/3*n**2 + 1828\/3*n.\nAnswer: -4*(n - 58)*(n + 1)*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 19 = 1. Let a = y + 0. Let m be ((-12)\/(-42))\/(3\/21). Solve -2 = n + 2*i, -1 - 1 = -a*n + m*i for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 7 = 2*v, v + 4*v + 4*w + 9 = 0. Let s be v\/(-4) + (0 - (-177)\/12). Let o = 17 - s. Solve -m - o*m = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15022 times -1461?\nAnswer: -21947142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30955071827 - 30955071627.00000027. Let a = v - 200. What is a rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*c**2 - 460*c - 56 = 0. What is c?\nAnswer: -14\/129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**2 - 2*a + 1. Let z be w(1). Suppose -n - 18 = -z*n. Let g(m) = 9*m**2 - 8 - 34*m + m**3 - 16*m**2 + 40*m. Calculate g(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 11. Let z = -5 - -3. Let y(p) = -p**3 - p**2 + p. Calculate the lowest common multiple of n and y(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3931240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1221 + -25867?\nAnswer: -27088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {n: 10, w: 6, c: 1}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*f + 2879 = -1128*f - 12313 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:06 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/6))**(18\/11)*m**16\/(m\/m**(9\/2)) assuming m is positive.\nAnswer: m**(423\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/355 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbbghbw. Give prob of picking 2 h, 1 g, and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -597 minus -572.987?\nAnswer: -24.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b5 (base 16) to base 12.\nAnswer: bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.17 take away 133?\nAnswer: -135.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -2 + 0 - 3) + -70 + 67?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -1784, -12 in increasing order.\nAnswer: -1784, -12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-34))\/(15\/80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/4 - (-3)\/6. Let h = 23 - a. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156390)\/112280 - 6\/8?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 6*r + 4. Let q be v(4). Is (122\/q)\/((-8)\/112) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u**2 + 2111 - 2111 - 5*u - 17*u - 17*u.\nAnswer: 13*u**2 - 39*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*105\/(-30)*-5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1 + -3*sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3))**2 - (2*(sqrt(3) + 3 + sqrt(21)\/sqrt(7)))**2.\nAnswer: -56*sqrt(3) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 70. Put b, -14, 5 in increasing order.\nAnswer: -14, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 56*i - 28. What is the tens digit of y(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/5597172 and 47\/1008?\nAnswer: 22388688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 48*s**2 + 130*s + 3602. Let y be c(-50). Sort y, -1, -5 in ascending order.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103333*i + 103310*i - 206646*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x - 2*x. Let k(s) = 2*s**3 - 4*s**2 + 2*s. Let o be k(x). Let h be (-1)\/((2 - o)\/4). Solve h*d + 24 = 5*c, 4*d - 5*c + 19 = -9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 123. What is the closest to 8 in n, 2\/7, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5)**(2\/5)\/((s\/s**(-1))\/s)**(-20) assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2600)\/(-585)*54\/24. Let u = -4 + 3. Which is the second smallest value? (a) 0.1 (b) u (c) 0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00434664 to 5 dps.\nAnswer: 0.00435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -12*i + 84. Find the second derivative of -i*k + 33*k**2 - k - 42*k**2 - 2*k wrt k.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 11*i + f + 1629, -2020 = 5*i - 2*f. Which is the nearest to 0? (a) 2\/7 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 30747393.28?\nAnswer: 30747392.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -29*n**8\/48 + n**6\/60 - 959*n**5\/5 - 5353*n**2. What is the third derivative of m(j) wrt j?\nAnswer: -12180*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - -5) + -11 + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164252.\nAnswer: 2, 11, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 5*n**2 + 3*n + 3. Let l be h(5). Suppose 5*r - 2*b - 2*b + 52 = 0, -1 = 2*r + 5*b. Let d = l + r. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*h + 28787*d - 28779*d, h - 5*d = 23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 203, -1 in ascending order.\nAnswer: -1, 174, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20623 + -20628. What is the nearest to -261\/7 in 4\/9, 1\/5, 3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -402551575?\nAnswer: -402551571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30634 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842331542?\nAnswer: 2, 13, 3779, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = 0, u - 14 = 2*c + 5. Let t(p) = 13*p**2 + 2*p + 5. Let s(q) = 19*q**2 + 3*q + 7. Let r(f) = c*t(f) + 5*s(f). What is r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -33*o**6\/10 + o**5\/15 + 163*o**4\/12 - 25*o**2 - 29*o - 3. Find the second derivative of q(c) wrt c.\nAnswer: -2376*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -139659 * 241\nAnswer: -33657819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -2\/3 (c) 5 (d) -0.4 (e) -4\/7 (f) 1 (g) -1\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2 + 1. Suppose 0 = w - 9 - d. Suppose 5 = r - w. Calculate the greatest common divisor of 135 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s - 3*s + s**2 + (1 - 2 + 0)*(-1 - 12 + 2)*(-3 + 3 - 1)*(4*s**2 + 0*s**2 + 6*s**2) + 25*s - 25*s + 14*s**2 to o*s**2 + p + m*s and give o.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**2 + 2*t**2 + 2*t**2 + 1 - 1 - t**2 + 0*t + 0*t - t**2 + (2*t**2 - 3*t + 3*t)*(0 - 5 + 3) + 2*t + 2*t - 4*t**2 + 2*t.\nAnswer: -13*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 7*l**2 + 4*l + 4. What is d(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 25283751.\nAnswer: 101135004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 59*1\/(-24)*-3*(-944)\/118\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23*13\/(-897))\/((-5)\/3))\/((-192)\/10)?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 57 (c) -5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10.2. Let x = f + 1.2. Sort -2, x, -1 in increasing order.\nAnswer: -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3\/2 - 861*m**2\/2 + 12495*m\/2 - 44247\/2 = 0. Calculate m.\nAnswer: -301, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:17 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = b - 0*x + 3*x, -9 = -3*x. Let i = b + 1. Let d be 0 - -3*(-2)\/i. Is d at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51407584 to the power of 1\/2, to the nearest integer?\nAnswer: 7170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 160?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403460396.\nAnswer: 2, 3, 13, 31, 96737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -9, 1 in ascending order.\nAnswer: -9, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/((-164)\/40 + 4). Suppose 4*d + d = i. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-14 - (-30 - -2)) - -4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, -29, -22, -13, -2, 11, 26?\n\"Answer: j**2 + 2*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 7*t - 6*t - 4*t + 15*t + 16 to the form r*t + h*t**2 + v and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 35*d**2 + 1404*d + 138. Calculate h(-40).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16260708 (base 9) to base 2.\nAnswer: 11111000000110001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 296628 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -167*d + 136*d - 62*d - 200*d as t*d + i and give t.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -6222407 (c) 91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5+19817\nAnswer: 19822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 4. What is the remainder when 25 is divided by u(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 370 and 21920.\nAnswer: 811040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9*o + 258 = 135*o. Factor 51\/5*i + 18\/5 + 12\/5*i**3 - 81\/5*i**o.\nAnswer: 3*(i - 6)*(i - 1)*(4*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 4 (b) 0.4 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5 - 3. Suppose -2*y + s*q + 3*q = 7, 2*y - 11 = -q. Suppose -4*j = 4, 6*j - 3*j + 15 = y*o. What is the nearest to 0.1 in o, -0.4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:06 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 5 - (1 + 6)) + (0 + -8 - 0).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 4416?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 minus 1.323?\nAnswer: -804.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 182. Determine v(-81).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*(-15)\/(-5)*(-11)\/((-616)\/(-112))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 15*j**2 + j + 1. Let w be z(-1). Let s = w - 5. Let y = -8 + 12. Solve 0 = -u + y*k + 13, -5*u - 3*k - 2*k = s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196976 and 3172?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w + 2. Suppose -3*m + 9 = 0, -f + 3*m + 2 - 7 = 0. Let j(o) = f - 10 - 2*o + 3. Let t be 32\/12 + (-4)\/6. Give t*j(k) + 3*l(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -7 + 14. Let l(x) = x - 4. Calculate the smallest common multiple of c and l(14).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -19. Let q(c) = -c**3 - 2*c**2 - 4*c - 2. Let v be q(s). What is the tens digit of (-4)\/v + (-232)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 13)*(-11*x + 12*x - 31*x) to the form o*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219 + 259. What is the greatest common divisor of 30 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/((-30)\/(-450))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 - 2 - -1 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -6199?\nAnswer: 1\/6199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 127, 118, 89, 34?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 + 24*i\/13 - 46136\/13.\nAnswer: 2*(i - 146)*(i + 158)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(-1285 + 1285 - 69*m).\nAnswer: -276*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 3\/2)*8. Suppose -8 = -u*o - 0*o. Differentiate 5*x**o - 2 - 1 - 3*x**2 - 5*x**2 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/568 and 69\/10?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2 - 7600*u + 30312448 = 0. Calculate u.\nAnswer: -6232, 2432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - (-164)\/(-30). Let g = -24\/5 - h. Let w = 295 - 299. Which is the smallest value? (a) w (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-104))\/(214\/(-9737))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)\/p**7)\/((p\/p**(-2))\/(p*p*p\/(p*(p**(1\/5)\/p)\/p*p*p)))*(p**(2\/7)*p)**12*(p\/(p**(-1\/3)*p))\/(p*p**(-2)) assuming p is positive.\nAnswer: p**(288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 36. Let v be s\/230 + 2\/5. Let m = 0 - 0.4. What is the second biggest value in v, 5, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -0*h, 4*h + 6 = -2*p. Let k = -57\/196 - -51\/49. Let 3\/4*i**p + 9\/4*i**2 - 3\/2*i - 9\/4*i**4 + 0 + k*i**3 = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -0.3789\nAnswer: -14.3982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.5, -4, -28, -4\/61, -14, -5 in descending order.\nAnswer: 10.5, -4\/61, -4, -5, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42074?\nAnswer: 2, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -126, -111, -72, 3, 126, 309, 564?\n\"Answer: 2*b**3 + b - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(4\/7))))**31 assuming g is positive.\nAnswer: g**(341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*f**3*l**2 + 165*f**3 - 10*f**2*l - 2*f**2 + 9*f*l**2 - l wrt f?\nAnswer: 78*l**2 + 990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80698.23767 + 80564.23766889. Let p = 134 + z. What is p rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2277920 and -11\/22080?\nAnswer: 13667520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 32\/5 of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/(b\/b**(-2\/3)))\/(b**(2\/3))**(20\/9) assuming b is positive.\nAnswer: b**(-85\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 5*q**2 + 6*q + 21. Suppose -5*n - 5*n - 50 = 0. Let g be t(n). Suppose -4*w + 8 - 40 = 0. Which is smaller: g or w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*a + 3588 = 0, -3*t = -t + a - 1797. Let j = t + 167. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*r**5 - r**4 - 8031*r**2 + 7849*r - 1?\nAnswer: 40*r**3 - 12*r**2 - 16062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.9000148 - 12.9. Round r to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611\/3 - 203. What is the nearest to c in -5, 3\/5, -2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, d: 3, f: 2, l: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7341 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m**3 + 0*m**2 + 2\/5*m**5 + 2 + 0*m**4 + 4*m. Differentiate x(q) with respect to q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p - 12. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 51*p + 105*p + 19.\nAnswer: 156*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a - 6*a - 30 - 6*a + 14*a + 7*a**2. What is the hundreds digit of z(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + 4*(-3*(1*sqrt(2299))**2 - (sqrt(152)\/(sqrt(8)*3) + 0))).\nAnswer: -110364 - 16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19365*m - 116206. Determine g(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14108251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48801503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142446 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 6 - 68*q + 21 + 90*q in the form c*q + u and give u.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**4 - 44088*h**3 + 3857988*h**2 - 21561408*h = 0. What is h?\nAnswer: 0, 6, 82, 14608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 - -8772.250767036.\nAnswer: 8772.410767036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25.39 - -25.75. Which is the closest to 1? (a) -1\/3 (b) 3\/7 (c) -2\/5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0. Let q = -12.4 - -12. Put h, q, -1\/4 in descending order.\nAnswer: h, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29153*x + 29444529. What is a(-1010)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1573) + sqrt(1573)*-2 - sqrt(1573)) - (sqrt(1573) + (sqrt(1573) + (-5*(sqrt(1573)*-2 - sqrt(1573)) - sqrt(1573)))**2 + sqrt(1573)).\nAnswer: -353925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43977, -3, 4 in decreasing order.\nAnswer: 4, -3, -43977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314638, -315780, -316924, -318070, -319218, -320368, -321520?\nAnswer: -322674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, 13, 60, 125, 214, 333?\n\"Answer: s**3 + 28*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(-22)\/(-3)*(-13)\/(-26). Let h(f) = 5*f**2 + 4*f. Let b be h(-3). List the prime factors of (m\/b)\/(1\/57) + -4.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 80\/3. Let d = 205.7 - 206. Put d, w, -1 in descending order.\nAnswer: d, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1397*d - 7 = 1404*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27387973 is divided by 1136?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + y**4 - 2*y**4)*(4*y + 2*y - 5*y) + 0*y**5 - y**5 - 2*y**5 + 352*y**5 - 154*y**5 + 378*y**5 - 4257*y**2 + 4257*y**2.\nAnswer: 571*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675 at least as big as 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -27. Let k = 11 - x. Let v = 5 + -9. Which is the third smallest value? (a) 3 (b) k (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4978.1*13392.\nAnswer: -66666715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2)\/(4 + -3). Let b be (-126)\/(9\/(-3)) + o. Suppose 2 = -2*n + b. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 397 + -397.1. Which is the third smallest value? (a) 0 (b) -2 (c) y (d) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 306*i + 1345 = 32*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 26)*6\/9. Let m(a) = a**2 - 9*a - 17. What is the units digit of m(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 1\/13, 32, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 15*y**2 + 17*y - 32. Suppose 3*n - 6 = 3*i, 4*i - n - 48 = -41. What is the least common multiple of 154 and h(i)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/180*1\/(-28)*-10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w**2 - 87*w + 90.\nAnswer: 3*(w - 6)*(4*w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 40\/15)\/(8\/(-780)). Suppose -1 - 44 = -3*x. Suppose 5*v - x = h. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:54 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 86*l**2 - 323*l - 376. Determine z(82).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 33\/14557?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 3:44 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whbbhhwohow. What is prob of picking 2 h and 2 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 4, 6, 38.\nAnswer: -18, 2, 4, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126799011?\nAnswer: 3, 1021, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**4 + 0*r**3 + 0*r**3 + (-3*r**3 + 3*r**3 + 2*r**3)*(-r - 2*r + 5*r) + 0*r**4 + 3*r**4 - 5*r**4 + 97*r**4 - 230*r**4 - 92*r**4.\nAnswer: -221*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 1 y when three letters picked without replacement from ltdldllodllttytllllt.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -32917 times 0.4?\nAnswer: -13166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -129*y**3 + 9*y - 7. Give s(1).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/19)\/(27\/(-387))*1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/9)\/l*l**0*((l\/((l*l**(-2\/5))\/l))\/l)**(-3\/46) assuming l is positive.\nAnswer: l**(-832\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -h - 291, 0 = -3*q + 7*h + 1960 - 1811 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 6*b**2)*(0 + 0 - 3*b) - 3 - 5*b**3 + 3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 11*u + 2. Let x(i) = 6*i - 7. Let a be x(2). Let d be l(a). What is the highest common factor of d and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-4 - 9\/(-2))*0. Let j be -4 + 102\/24 + x. Let n = 3.89 + 0.11. Which is the third biggest value? (a) 2\/11 (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -82, -79, -86, -109?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1797, -3596, -5395, -7194, -8993, -10792?\n\"Answer: -1799*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -21 - (-2 + 12)) + -1 + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**8*t*t\/(t*t**30))\/(t*t**(-30)\/t)**(2\/49))**2 assuming t is positive.\nAnswer: t**(-1938\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11560437142 to 6 decimal places.\nAnswer: -0.115604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -438 + 744. Let u = j - 303. Let l be (-1 + 0)*(1 - 5). Solve -u*m + l = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164423463 is divided by 2007.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 102, 176, 320, 558, 914, 1412, 2076?\nAnswer: 2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/4 + 8*j**3 - 28*j**2 - 34*j - 48. Let i be u(-26). What is the greatest common factor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542772.\nAnswer: 2, 3, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*l = -2255, -52*g = -55*g + 5*l + 6721. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from lddrrdrvdml.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.825088ml in litres?\nAnswer: 0.000825088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/75895 and 173\/30?\nAnswer: 455370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89.3593 - -0.0407. Let n = 80 - o. Let j = n - -9.8. What is the biggest value in 2\/13, j, -1\/5, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 10*m - 495. Let w(t) = -6*t**2 + 10*t - 493. Let l(v) = -5*g(v) + 4*w(v). What is the tens digit of l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 10. What is the remainder when 38 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1111\/216 + 23\/216. What is the fourth smallest value in 1, -2, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(12) + sqrt(48)\/sqrt(4)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b + -3563?\nAnswer: -3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-18)\/1)*-21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481 is divided by 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.004 times -1385\nAnswer: 5.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 53. Give q(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4 = f, -20*f = -5*k - 17*f + 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52696784.\nAnswer: 2, 7, 263, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.4 + -62. Let q = k - 24.3. Let b = -11.90181 - q. What is b rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3366?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 - 4.3. What is the biggest value in 0.01, h, -0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*b - 21*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 12. Let z(a) = 37*a + 4. Let i(x) = 24*x + 3. Let m(g) = 8*i(g) - 5*z(g). Let k(v) = 2*v + 1. What is b*m(f) + 22*k(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 2*u - 8*u**2)*((-1 + 2 + 0)*(-1 - 4 + 3) + 2 - 4 + 1 - 3 + 0 + 4)*(2 - 5 - 1) to m*u**2 + d + b*u and give m.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 1:04 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6883*w**4 - 12149*w**4 + 6382*w**4 + (-1 - 2*w**2 + 1)*(3 - 3 + w**2) - 2*w**2 - 2*w**4 + 2*w**2 + w**3.\nAnswer: 1112*w**4 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o = 17*o - 19*o - 60*z + 55*z + 21, -62 = -5*o - 4*z + z for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-28))\/((-594)\/2739)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149 - -149.1. Is t greater than 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27164388 or -27164416?\nAnswer: -27164416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 54 - 28 - 26 + 14*p. Let l(r) = -2*r. Give l(k(j)).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 840976?\nAnswer: 2522928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10626 + -10626.0029012. What is u rounded to five decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/5 (b) -10 (c) 0.1 (d) -24924 (e) -2\/7 (f) 8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-55)*45*12\/108?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 115*t - 210.\nAnswer: -5*(t - 21)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169375*p**3*v + 6*p**3 - 69069*p*v + 16 wrt p?\nAnswer: -1016250*p*v + 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -102277909 divided by -2\nAnswer: 102277909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 25 + 31*r**2 + 9 + 16 in the form k + o*r**2 + b*r and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*d + 12, j + 27 = 5*j - 3*d. Suppose 4*g + 3*s = 39 + 32, -2*s = j*g - 52. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072.291 less than -0.132?\nAnswer: -1072.423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13+-0.498\nAnswer: -13.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 5*b - 5. Suppose -4*h - 119 = -3*l, -5*h - 50 = -3*l + 101. Let c be 4\/6 + h\/12. Let o(i) = -2*i - 2. Give c*u(j) + 5*o(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 AM and 2:30 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + d = 4, 2*z + 2*z = 3*d + 27. Let x be ((-16)\/(-24))\/(z*-1). Let p = 3.03 + -0.03. Which is the closest to 1\/3? (a) p (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/27, -10\/177, 22, -1\/9, 4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by (-1326)\/(-104) + ((-15)\/4 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/7)\/f*f**(-4))**(-2\/15)\/((((f\/((f\/((f**(-2)*f)\/f))\/f))\/f)\/f*f*f**(-2)*f)\/(f**(1\/2)\/(f**(2\/9)*f))) assuming f is positive.\nAnswer: f**(359\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2689181213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98088 divided by 6.\nAnswer: 16348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42341 is divided by 510?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74220630 - 16*x + 74220604 - 148441234.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/3 + 13*o**2\/2 - 31*o. Let j be m(3). Is 163\/1*7\/j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -p, 30 + 1 = -3*a - 5*p. Let i(s) = s**2 + 8*s + 6. Let d be i(a). Does 0 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452435090 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) + 0) - sqrt(567) - (sqrt(343) + -1 + sqrt(343)) - (sqrt(343)*2 + sqrt(7) + sqrt(7) + sqrt(7) + 0 + 3))**2.\nAnswer: 160*sqrt(7) + 11204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 10*o**2 - 4*o + 3. Determine b(-8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6, 4, -0.12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 95. What is the remainder when 37 is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -3, -1028, 1\/990?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101 or 106009\/1040?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 690595580?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**4\/4 + 4*u**3\/3 + u**2\/2 - u - 2. Let m be z(-2). Find the third derivative of m*j**2 - 3*j**4 + 0*j**2 - 2*j**4 wrt j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 + -2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**12\/(p*p*((p\/p**0)\/p)\/p*p)**(13\/6)*((((p\/(p*p*(p*p**(1\/4))\/p))\/p)\/p)\/(p\/(((p*p\/(p\/p**(-4\/5)))\/p*p)\/p)*p))**5 assuming p is positive.\nAnswer: p**(-559\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13067948.\nAnswer: 2, 67, 48761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*o + 1 = -18, -3*o + 1 = 5*i. Let t = -0.31 + 0.01. Which is the smallest value? (a) t (b) -7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/15 + 85766*q**3\/15 + 306534824*q**2\/5 + 551539712*q\/3 - 735477760\/3 = 0. Calculate q.\nAnswer: -21440, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92781233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85\/7 or 14.1?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3146144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1613451314 + 3?\nAnswer: -1613451311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634923 and 133668.\nAnswer: 2539692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 1570.\nAnswer: 4710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 462555 a multiple of 541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/15 and 3\/(-36)*-3*(-124)\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 1. Let i be 68\/(3 - 1)*(-20 - -21). Suppose 32*a - 4 = i*a. Let c(y) = -y**2. Calculate a*r(k) - 9*c(k).\nAnswer: -k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -90. Let h = z + 77. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2\/7 (c) 0.07 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 5*f + 7. Let g be 1*1\/(-3)*-15. What are the prime factors of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 889 - 888.7. What is the fourth smallest value in -1, 1, -10, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*k - 12, q + 5*k = 14 + 4. Suppose -20*i + 5*h = -16*i - 40, 3*i - 3 = -q*h. Solve -2*r + 4*b + 4 = 0, i*b - 6 = -3*r - 0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**4\/6 + 2*y. Suppose 0 = 4*h + 3*i - 11, -3*i = -4*h + 7 - 2. Let w(u) = -7 + 7 - u**h. What is f(w(d))?\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 4\/11, -64.708, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g + 1\/3*g**3 + 3\/2*g**2 + 15 - 3\/4*g**4 - 2\/5*g**5. Let v(s) = 0. Calculate s.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3*8)\/4)\/2. Suppose 5*d = -0*m + 4*m + 18, 16 = 5*d - a*m. Suppose 0 = 4*z + 2*n - 22, -5 = -z - 3*n + 8. Solve -d*f + z = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94718, -94717, -94716, -94715, -94714, -94713?\n\"Answer: g - 94719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 + 11.42. Let p = l - 7. What is p rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -449*v**8\/28 - 61*v**4 + 703*v. What is the third derivative of u(p) wrt p?\nAnswer: -107760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - b - 2*b = 7, 3*b = -12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**2*m*s**3 - 2*a**2*s**2*y + 8*a**2*s**2 - 2*a**2*s*y - a**2 + 24*a*m*s**2*y + 2*a*s*y - 396*m*s**3*y - s**3*y wrt s?\nAnswer: 42*a**2*m - 2376*m*y - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23102*4.\nAnswer: -92408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 - 2464509*q - 19716264.\nAnswer: 3*(q - 821511)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180)*-5)**2 + -2.\nAnswer: 17998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 + y**4\/3 + y**3\/2 - y**2 - y. Let k be p(6). What is the remainder when (k\/(-21))\/((-2)\/(-30)) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 121, 188, 279, 400, 557?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcccgcc. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 20 = 0. Let t = 0 + 2. Is h smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70158 + 163787. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-75)\/15)\/(22*(-8)\/(-1584))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 1.3. Let h(n) = -n**3 + n**2 + n - 1. Let m be h(0). What is the closest to v in 2\/11, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1058.31 to the nearest 10.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 282 = 4*j - 66, -s - 4*j + 38 = 0. Solve 0 = -3*f + 6, s*f - 67*f = r - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 - 2*h. Let j = -126 - -64. Let r = -58 - j. Calculate t(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11917\/3 - -4032. Let q = -59 + w. What is z in -4\/3 - q*z**2 + 2*z = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 55734*d. Let m(c) = 3*c. What is h(m(w))?\nAnswer: 167202*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 7053 = 4917. Let p = -589 + d. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2947 and 250924841?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2607 and 858.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 - c - 5. Suppose 50 = 7*d + 78. Calculate t(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58945?\nAnswer: 5, 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k + 6*k + 0*k + 1 + 2*k. Let v be f(1). Let y be (-1 - 0) + (-1 - -10). What is the highest common factor of y and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 + -2.09999336. What is j rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 25 + 17 = 0. Suppose 5*i - 2*s + 17 = n, 0 = 2*i - s + 4. What is the remainder when (-318)\/(-12)*(-4)\/i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 38 + 176 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**2 + 7*j**2 - 42*j + 40*j**3 - 55*j**3 wrt j?\nAnswer: -90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 3974*w**2 - 4005*w - 119250.\nAnswer: (w - 6)*(w + 5)*(w + 3975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {d: 4, q: 15}.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25 or -41?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38624775\/36*18\/504. Let t = j - 38320. Calculate the common denominator of 37\/36 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Suppose 5*s = -10, s = 3*p - s + 2. Which is the closest to 2\/7? (a) d (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 21?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/5928741 and 19\/21.\nAnswer: 5928741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/9 < 160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 13 = -v, 2*n - 17 = 19*v - 22*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:04 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -9 + 29 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/3 > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -8. Let b be 1*(1\/(-4))\/((-3)\/492). Let q = 89 - b. Calculate the greatest common factor of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 943, 2084, 3681, 5734, 8243?\nAnswer: 11208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -154251213, -154251217, -154251223, -154251231, -154251241, -154251253, -154251267?\n\"Answer: -w**2 - w - 154251211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 432 + -278. Suppose 5*n = 3*p + c - 23, 4*p - 117 = -5*n. Calculate the remainder when 66 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -13. Is 3\/n - (-255)\/2 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 -118565978, -237131943, -355697908?\nAnswer: -474263873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/45 + 1166*z**5\/15 + 301864*z**4\/3 + 467279248*z**3\/9 - 941821904*z**2\/3 + 4*z - 110. Suppose x(o) = 0. What is o?\nAnswer: -778, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + m = -c + 34, -2*m = -4*c + 40. Suppose 5*d = 2*d + c. Suppose -4*z - 2*r = 0, -r - r - 14 = -d*z. Calculate the remainder when 11 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8084 + -0.3084. Suppose -y + 4*y - 3*o - 12 = 0, -5*o + 20 = 3*y. Which is the nearest to 1? (a) p (b) y (c) -0.082\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5929*x + 5933*x - 2 = -d, 4*d = 2*x + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 12. Let g be (-5)\/(-8)*v\/(-5). Factor 0 + g*k**3 + 1\/4*k - 1\/2*k**2.\nAnswer: k*(k - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12553702+-3853\nAnswer: 12549849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4\/3 - 91115*z**3\/3 - 182245*z**2\/3 - 30375*z.\nAnswer: 5*z*(z - 18225)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 43681*y**2\/4 + 18085397*y + 7487960089 = 0. Calculate y.\nAnswer: -173066\/209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/(437\/(-18354)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174164167 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**4\/3 + 424*p**3\/3 - 772*p**2 - 3552*p = 0.\nAnswer: -111, -3, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13855940*i**4 - 2*i - 12677093 wrt i?\nAnswer: -166271280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11713975 and 25745?\nAnswer: 11713975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*y - 45. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (sqrt(24) - (sqrt(48)\/(1*sqrt(2)) + sqrt(24))) - (sqrt(24) + (-2*sqrt(48))\/sqrt(2)))\/((sqrt(48)\/sqrt(4) + sqrt(12))*-5*4) + 1.\nAnswer: -3*sqrt(2)\/40 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - v)*(4*v - 2*v - v) + 0*v + 0*v + 2*v**2 + 3*v**2 + 0*v**2 - 5*v**2 - 23*v + 2 + 9*v**2 + 23*v.\nAnswer: 8*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 19 - 25 = 0, u = j - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75)*-6 + sqrt(75) + -5 - (-2 + sqrt(75) + sqrt(75) + 3 + sqrt(75))*4)*5*-2)**2.\nAnswer: 153000*sqrt(3) + 2175600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 27 = -9. Let p be (2\/f)\/(7\/3045). Suppose 12*b = -p + 866. 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: Simplify (1*(sqrt(245) + 1) + 2)**2.\nAnswer: 42*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96268, 96269, 96270, 96271?\n\"Answer: i + 96267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -122*a - 177. List the prime factors of g(-24).\nAnswer: 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/5 + 487113*y\/5 + 2727676 = 0. Calculate y.\nAnswer: -487085, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 5*l**2 + (l - 1 + 1)*(l - 4 + 4) - 1 - 2*l**2 + 1 - 8*l**2 + l**2 - 2*l**2 to the form n + u*l**2 + k*l and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 233 - 125 = 132 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 9:28 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12012 and -1.\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 72\/3*1 - -1. Suppose 2*y = -2*l + 16, -4*y - 3*l + 28 = 1. Solve -y*f + d = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 - (-5 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -709 or -706?\nAnswer: -706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 4*v)*(-2 + 2 - v**4) + (-2 - 13*v**2 + 13*v**2 + 2*v**3)*(4*v - 3*v - 3*v)*(-3*v - 1 + 1).\nAnswer: 9*v**5 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493570.\nAnswer: 2, 5, 7, 11, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295.66 + -295.86. Let m = 0.1 + 0.1. Sort 1, m, 10, h in descending order.\nAnswer: 10, 1, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -415 - -405.88. Let s = -9 - l. What is s rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*a = 24, 33 - 9 = 4*a. Which is greater: 1\/23580 or c?\nAnswer: 1\/23580","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177445006 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: Let z be 2\/5 + 78\/5. What is the third derivative of 36*k**3 - 11 - z + 27 + 31*k**2 wrt k?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3*o**3\/5 + 373947*o**2\/5 - 3*o\/5 - 373947\/5 = 0.\nAnswer: -124649, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17051 + 48807. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1.6, 0.2, -27, 1?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtqtmqtttqmttmptqqt. Give prob of picking 2 t and 1 p.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34622*r = b - 34624*r + 25, 0*r = 4*b - 5*r + 70 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 q, and 1 u when three letters picked without replacement from jbquqjl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 558381, 558382, 558383, 558384, 558385?\nAnswer: 558386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.101 + 0.081. Which is greater: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-10)*7\/(-35)*(-5)\/12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11888?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4959*q**3 - 66*q**2 - 3*q + 4484087 with respect to q.\nAnswer: 14877*q**2 - 132*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.36093 and -3.\nAnswer: -49.08279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((sqrt(1600)*-3 + sqrt(1600) + sqrt(1600))*-5 + sqrt(1600))\/(sqrt(8) + (sqrt(40)\/sqrt(5) + sqrt(8))*6 - sqrt(8) - (sqrt(200)*-1 - sqrt(200))).\nAnswer: -450*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**12)**(-3\/26) assuming y is positive.\nAnswer: y**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112416)\/(-4140656))\/(1*(-1)\/17).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f + 24. Suppose 8*v = 54*v + 368. What is z(v)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from gtvaaaaavatavagv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 1746 = 74*z - 2166 + 622 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2. Let h(r) = -35*r**2 + 28*r + 28. Let y(o) = o**2 - o - 1. Let q(z) = -3*h(z) - 84*y(z). Give k(q(x)).\nAnswer: 1323*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 4680.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -16*l + 12*l + 2*p, 4*l - 7 = p. Find the second derivative of 41*k**2 + 2 - 76*k**l - 3 + 0*k + 12*k - 152*k**2 wrt k.\nAnswer: -374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 10 + 20 = 0. Let f = -3 + z. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 2*s - 3*s + (-4*s - 3*s + s)*(-11 + 1 + 4) to the form d*s + m and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 44689.2626 and -3.235.\nAnswer: 44686.0276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 25*d = 4, 2*d = 2*c + 22 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2520)\/240*(-1 + 1\/3). Solve -32 = 5*u - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 10*y**2 - 2*y - 14. Let o be b(-10). Let q be (5 - 3) + (3 - o). Does 27 divide q\/(-2 - (-685)\/345)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9326850 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1188229\/14 - 7)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9324504, -18649001, -27973498, -37297995?\n\"Answer: -9324497*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9007 - -2.9. What is c rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/35342 and -89\/51578.\nAnswer: 22230118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z = 0. Suppose 2*i - 5*s = -z*i + 46, -2*s + 5 = i. Suppose i = c + 2. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 c when four letters picked without replacement from {c: 11, h: 5}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 5*o + 7. Let s be y(5). Solve -s*v + 4*v = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -97. Let s = 76 + a. Suppose t + 3*x - 106 = -s*x, -t + 110 = 4*x. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48580 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -657 (base 9) to base 15\nAnswer: -25d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {h: 5, l: 2, y: 6}?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/650*(3 + 2). What is the closest to -0.1 in 0.2, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b21 (base 13) in base 15?\nAnswer: -9a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, f: 2}. Give prob of picking 2 y.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ididccdi. Give prob of sequence ici.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-5))\/(2 - 3). Let r = -163 + 153.4. Let z = -5.6 - r. Sort -2, z, g in ascending order.\nAnswer: -2, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Let g(p) = 2 - p + b*p - 2*p**2 + 0*p + 2*p. Let m(z) = 2*z**2 - 3*z - 2. What is -4*g(q) - 5*m(q)?\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 3*y - 7 = d, 3*y + d = 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + 2 - 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31127 is divided by 566.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16775 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6103787, 12207637, 18311487?\nAnswer: 24415337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:37 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58, 102, 142, 172, 186?\n\"Answer: -a**3 + 4*a**2 + 39*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let s be 34\/(-51) - (42\/(-9) + 2). Sort 4, l, s.\nAnswer: s, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*t**3 - 5*t**3 + 18*t**3 - 75*t**2 - 4*t**3 to the form w + f*t**2 + i*t + j*t**3 and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529576 and 4664.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 8*r**2 - 7*r - 6. Let g be q(9). Let k = -8 + g. What is the smallest common multiple of k and 93\/12 + 1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-5))\/((78\/(-65))\/3)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 114, 2*n + 256 = -19*s + 147 + 827 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*i**3 + 105*i - 105*i.\nAnswer: -52*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3313 - -34969.6687. Let s = m - 34616.78. Let x = s - 354. Round x to 1 decimal place.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 1941*b**2 - 9713*b + 87. Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - 24*c = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -5*c + 2*r, 2*r + 2*r - 8 = 0. Suppose 4*h = -4*j + 8*j + 80, 2*h - 97 = 5*j. Let l = c - j. Solve -l*u = 3*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 6 + 16 - 29*x - 18*x + 33*x. Give w(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136 by -4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5220 and 61107930?\nAnswer: 122215860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15734 - 10227. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -329, -935, -1825, -2999, -4457, -6199?\nAnswer: -8225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1 + 4 - k - 4. Let c be z(-4). Is 0 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -2\/15, 2\/25, 5, 0.3 in decreasing order.\nAnswer: 5, 4\/9, 0.3, 2\/25, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/56*(1 - 3). Let u be 2 + i - (-33)\/(-9). Which is the nearest to 1? (a) u (b) 0.11 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29337440 divided by -158\nAnswer: -185680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 899188.\nAnswer: 2, 224797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*z - 149*z + 4*z**2 - 18*z**2 - 2*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) 1 (c) 114\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/(-16))\/21*138\/(-989)\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/45*(-3)\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 4 (c) -2 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -79, 54, 2, 3 in ascending order.\nAnswer: -79, -2, 2, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*k + 45 = 164*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + 8*r)*(1 + 6*r - 1)*(r - r + 2*r)*(-1 - 2*r + 1) to the form l*r**3 + b + h*r + s*r**2 + p*r**4 and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48780967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 49 - (148 - (40 + 5)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461888*u**2 - 30*u**3 - 461888*u**2.\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijiiiiikiiijii. Give prob of sequence kkij.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 5)*(2 + l - 2)*(138*l**3 - 164 + 164).\nAnswer: 552*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62 and 7.55638?\nAnswer: 468.49556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*n + 41*n - 17*n + 8960 = -151*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5860 + -5860. Let h = 7\/2 + -2. What is the nearest to t in 1, h, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/45)\/(4\/18). Let y = 35 - i. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 151749. Let o(y) = 2*y. Calculate s(o(g)).\nAnswer: -2*g - 151749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*a + 52, -8 = a - k - 4*k. Calculate the common denominator of ((-2)\/8)\/((-5)\/(-510)) and (-7)\/a + (-3)\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 16 + 23 - 0\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -5, -2\/9, 4 in decreasing order.\nAnswer: 4, 1\/6, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6485 - 691*y**2 - 3430*y + 3430*y + 6486 in the form b + l*y + o*y**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51254502?\nAnswer: 2, 3, 13, 179, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8473 to two decimal places.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -14. Solve -3*u - j = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*q + 24, -2*s + 2*q = 6 - 2. Let t = -5 + s. Let u(b) = -b**2 - 6*b - 4. What are the prime factors of u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 2\/9 (c) 4 (d) -5\/6 (e) 17333\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100209 rounded to 3 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*g + 83 = 0, 17761693*a - 4*g = 17761687*a - 216 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 1)*(0 - 2 + 1)*(0 + 0 + 78*x**2 + 210*x**2).\nAnswer: -1440*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-20))\/(-2*(-1)\/10). What is the greatest common divisor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40a (base 12) to base 5\nAnswer: 4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 - 5*m + 8. Let a be o(-7). Let w = a - -12. Let d(f) = 5*f**2 - 6*f + 6. Let v(q) = -9*q**2 + 11*q - 11. Give w*v(r) + 11*d(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - v = -4, 4*g - 1 = -3*v + 11. Suppose 4*c + 4*w - 199975 = -w, -4*w - 20 = g. Round c to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**5 - 3645*c**4 + 333060*c**3 - 165620*c**2.\nAnswer: 5*c**2*(c - 182)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*j**2 - 441*j**2 - 438*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-1 + sqrt(171) - sqrt(171)) + -5 - sqrt(171))**2 + (1*sqrt(171)*5)**2 + -2) + -5.\nAnswer: -4485 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + x**2 + 2*x. Let t(m) = -m**2 - m. Let z be (-8)\/((-10)\/5) + 40. Let u = z + -45. Give u*r(c) - t(c).\nAnswer: -c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2651861?\nAnswer: 109, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 10, -175922, -0.18?\nAnswer: -175922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.5. Suppose -4*g + 2*h - 14 = -3*h, 2*g + 4*h - 6 = 0. Which is the third biggest value? (a) g (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000095715 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:51 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 + -67. Let a(c) = 3*c**r + 6*c**2 - 7*c**2. Let w(i) = -20*i. Calculate a(w(k)).\nAnswer: 800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 19*p**2 - 3*p - 40. Suppose -u - 40 = 57. Let y = 78 + u. Let t be f(y). Solve 2*d + 3*x = -7, 5*d + 7 = -x - t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497948724?\nAnswer: 2, 374487181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1069742 by -1069742.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 2, -u + c = 0. Let y(b) = -3*b + 20. Let x be y(5). Suppose -k + 10 = 4*i - x, -5*i = 10. Solve 5*g = u + k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 3252239 + 27827761 = 0. Round j to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3950197013?\nAnswer: 7, 564313859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5 - 5)*(-6 - 2*s + 6 - 14 + 14 - 47*s + (0 - s + 0)*(2 - 5 + 1) - 2*s + 0*s + 3*s).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570*a**4 - 17566*a**3 - 83026*a**2 - 14498*a + 280 = 0 for a.\nAnswer: -4, -1\/5, 1\/57, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 4. Suppose 0 = 9*x - 291 - 6. Suppose -4*w - 6 = 5*p - 3, -x = 4*w - p. Calculate v(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186766*u = 186761*u - 4*b + 85, 2*u - 34 = -4*b for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q + 16*q - 44*q as l + g*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(15*2))\/(27\/((-810)\/4))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-70) + (-26)\/(-10). Suppose -x*v + 715 = -92. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 19369, -3, -2, -4, 1, -5 in ascending order.\nAnswer: -5, -4, -3, -2, 1, 8, 19369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 23000*g**2 - 3*g + 18. Let j be k(6). What is j rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -6 - 1 - -8. Let c = z + -5. Suppose 4*w = 7*w - 3. Put c, -4\/9, w in decreasing order.\nAnswer: c, w, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2132*g**3 + 7*g**2*w - g**2 + 745*w + 60 wrt g?\nAnswer: 6396*g**2 + 14*g*w - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*t**3 + 18*f*t**2 + f - 4*t**4 - t**3 - t**2 + 4*t wrt t?\nAnswer: -6*f - 96*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -15. Let d(g) = -g**3 + 13*g**2 - 23*g + 15. Let j be d(c). Let i be (-4 - -13 - 1) + 4. Solve 0 = j*v + i - 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7577, -15215, -22851, -30485, -38117, -45747?\nAnswer: -53375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*n + 85 - 16*n**2 - 13*n - 87 in the form k*n + l*n**2 + s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/8*-55 + 4\/(-8). What is the highest common factor of r and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119460, -477940, -1075410, -1911870, -2987320, -4301760?\n\"Answer: -119495*v**2 + 5*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55849 - 55844. Factor 0*w - 2\/3*w**a - 10*w**3 + 0 + 6*w**2 + 14\/3*w**4.\nAnswer: -2*w**2*(w - 3)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 8922, -1?\nAnswer: 8922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {l: 1, g: 1, u: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0*m**3 + m**2 + 0 + 0*m + 1\/12*m**4. Let f(v) be the second derivative of 2*v**3\/3 - 7*v. Determine f(z(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -108, 1\/30, 5?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-770)\/195 + 2 + 2. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 706 - -0.9\nAnswer: 706.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -175738100 to the nearest 100000.\nAnswer: -175700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -151.915 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -42*q - 8*q + 17 + 2*q**2 + 0*q. Let j be l(25). Solve 2*n = -4*c - j + 5, -c = 2*n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((sqrt(3872) + sqrt(3872) + -1)*-1 - (sqrt(3872) + sqrt(3872)*-3*5))**2 + 5.\nAnswer: 1056*sqrt(2) + 557567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2642, 5368, 8048, 10682?\nAnswer: 13270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k. Let m be b(8). Suppose 0 = -3*z + 4*l - m, -8*l - 44 = 3*z - 3*l. Let w(u) = -u**3 - 8*u**2 - 2*u - 9. What is w(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15875 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 - 3) - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 10:41 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 118645\nAnswer: -83051.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558464 (base 9) in base 8?\nAnswer: 7266613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -7*m. Suppose -5*u + 4*g + 120 = m, -4*u + 4*g + 96 = -0*u. Suppose -u = 5*d - 8*d. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2323 - 1211202?\nAnswer: -1202213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6423 is divided by 793?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -211 and -0.16444913167.\nAnswer: -211.16444913167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1)\/c))**(-2\/19))**(-8) assuming c is positive.\nAnswer: c**(48\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) + 234\/8. Suppose -w + 41 = 3*y, -v = -y - 2*y - 4*w. Let c(n) = 21*n + 1190. What is the remainder when c(-54) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + f + 12. Let j be h(0). Let g = 83 + j. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**2 + 20*q. Let x = 1737 - 1735. Let m(d) = -d**2 + d. Calculate x*z(v) - 40*m(v).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-175)\/28 - -4*(-2)\/(-4).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.94 or -534.7?\nAnswer: -534.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 187\/3. Suppose 2*s - 4 = -2*s. Is z not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m + 11*m. Suppose m = -58*b + 57*b + 9. Solve i + b - 13 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -714 (b) 1332\/17 (c) -1\/3 (d) -0.3 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(6) - -5*sqrt(12)\/sqrt(2)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83070, 166433, 249798, 333165?\nAnswer: 416534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/8)\/((-3)\/4). Let y = 204 - 144. What is the second derivative of -x**3 + 2*x + 60*x**b - y*x**2 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/127 and 65\/2312.\nAnswer: 293624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59956358?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3598008 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x - 2. Suppose -35 = -5*p + 5*t, 1 + 15 = 3*p + 2*t. Calculate the lowest common multiple of a(-6) and p.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -74. Let i = 35 + q. Put 4, -1, i in increasing order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(240) + 1*(sqrt(240) - sqrt(240)*2) + sqrt(240))\/sqrt(12) - (2 + sqrt(500) + 0))*-5)**2.\nAnswer: 800*sqrt(5) + 8101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3514784 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4260*a**4 - 38872*a**2 wrt a.\nAnswer: 102240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 2. Give d(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 4\/5, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004571015 rounded to 5 dps?\nAnswer: 0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 19*l = 44925. What are the prime factors of l?\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224680\/13 + 17284. Put 1\/3, -2, -12, w in decreasing order.\nAnswer: w, 1\/3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1431951, -1431960, -1431969?\nAnswer: -1431978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - 46 - ((2 - 2) + 6) - -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -i - l, 4*i + 2*l + l = 115. What is the remainder when 59 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 26*f + 20 + 24 + 27.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 2\/(-3)*-24 - 2?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 0. Let q = 2 + p. Suppose 8*u - r = 201, u = 5*r + 23 + 7. Solve 0 = 3*y + q*y + u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 2, -3.5, 6\/7, 3\/4, -2\/6437, -1\/6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 17 - -2 - (9 - (72 - -9)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1. Suppose 5*q + 4*w - 92 = 0, -23 + 3 = -2*q + 4*w. Solve 4*y + g*y = q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -433\/11. What is the nearest to 2\/5 in 1\/6, b, -13?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531689433 plus -572.71?\nAnswer: 531688860.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2209732357.6 + -172.\nAnswer: -2209732529.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -98\/5. Let f = 14 - 20. Let v = f - -12. Is v equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, p: 2, u: 1, r: 2, n: 10}. Give prob of sequence rnn.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3980 divided by 5?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 - 459.6.\nAnswer: -473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 4:20 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 570771*w + 44514054.\nAnswer: (w - 570693)*(w - 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136*m**3 + 2*m**4 - 1076135 - 426*m**2 + 1076135.\nAnswer: 2*m**2*(m - 71)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -2*n + 67. Suppose 81*k = n*k - 158. Suppose -4*r + k = -a + 4*a, -3*r + 2*a = -38. Solve 3*t - 7*t + r = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/15 - 5*i**4\/24 - 3*i**3\/2 - 15*i**2. Let m be d(-2). Let j = 0 + 0. Solve -u = 2*r + r - m, r - 2*u - 1 = j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1597\/4 + 398. Which is the fourth biggest value? (a) -4\/7 (b) m (c) -1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36862 + -36103. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145806 and 10.\nAnswer: 729030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 - 3 - (-2 - 3)). Is 8 a factor of 0 - i - (12 - (8 - -290))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v + 4. Let h(o) = -7*o + 5. Suppose 10*j = 59 - 9. Let z be 3 + (3 - j) + -15 + 18. Give z*f(p) - 3*h(p).\nAnswer: -7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yya when three letters picked without replacement from yyayyya?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*r - 409*r - 27 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*l**2 - 85*l**2 + 11*l**2 in the form d + g*l + b*l**2 and give b.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 20 = -9*i + 4*i, i - 4*h - 4 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11485\/21 - 547. Let k = -4 - 1. Suppose 38 + 7 = -15*x. Sort k, h, x, 1\/2 in decreasing order.\nAnswer: 1\/2, h, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose -h*z = -0*z - 4. Suppose z*u = -4, -14 = -4*y - 0*u + u. 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 product of 120158835 and 0.7?\nAnswer: 84111184.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**3 - 18*s**2 - 20*s - 59. Let p(y) = -2*y**3 + 8*y**2 + 9*y + 29. Determine 4*f(b) + 9*p(b).\nAnswer: -2*b**3 + b + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -12. Let d = -408 - -480. What is the greatest common divisor of d and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-4 - (-22)\/4). Suppose 18 = 3*z + n, 0*n + n + p = 5*z. Calculate the greatest common divisor of 26 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -4*j - 3. Let o(w) = 9*w + 5. Let h(u) = -6*o(u) - 10*r(u). Let f(a) = -a**2. Give h(f(z)).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/15, -0.025, -2.1 in increasing order.\nAnswer: -2.1, -2\/15, -0.025, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 75 + -66. Find r such that -4*r**2 - 2*r**2 + 12*r**2 + 9*r - k*r**2 - 6 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**3 - 2*i**2 + 1. Let j be g(-1). Let z(k) = k**3 - k**2 + k. Let p(f) = -7*f**3 - 11*f - 1. Let h(w) = -p(w) - 6*z(w). Determine h(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2265*r + 154023. Determine q(-68).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -102961, -103860, -104759, -105658, -106557?\n\"Answer: -899*z - 102062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x - 45 + 39 + x**3 - 2*x**3 - 8*x**2. Let y be u(-7). What is the third biggest value in y, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.85 * -18403.\nAnswer: 15642.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -y + 7. Suppose y*o = 151 + 89. What is the highest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 4. Suppose 4*j - 14 = -4*r + 10, -r - 3 = -2*j. Suppose j = -2*t + 4*c - 19, -37 = 5*t - 4*c. Give n(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 8*w + 8. Calculate u(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17064*p**2 - 34126*p**2 + 17060*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 369887 and 1272.\nAnswer: 8877288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8168618 and -99\/8312.\nAnswer: 32674472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 13*l + 9. Is v(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 2. Let k be -1*(-2 - 2\/(-1)). Find the second derivative of -4 + 4 - 6*a**2 - 6*a + k*a**w wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4288 + 8155. List the prime factors of x.\nAnswer: 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (-1 + 0 + 4)*(-8 + 1 + 2))*(-5*z**3 + z**3 + 2*z**3).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1900) + -1)**2 - (sqrt(1900)*-2 + -4) - ((sqrt(1900) - (-1 + sqrt(1900)) - sqrt(1900))*3*3)**2.\nAnswer: -152068 + 1700*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -397, -588, -779, -970?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 3:40 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30971153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 589.001068 - 589. Round g to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3198 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 16. Let q be 1\/2 + (-175)\/k. Let z(c) = c**2 + 12*c + 2. Let y be z(q). Solve 0 = 6*d - y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 3*p, -3*r + 12 = -0*r + 4*p. Let b be r\/(-2) - -2 - 5*-1. Factor -h**5 + 17*h**5 - 14*h**b.\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 6. Let b be 3*(-1 + 3\/(-9)). Let r be h(b). Suppose -3*v = -r*v + 1. Put 3, v, 4 in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1504432 >= 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5 + 13. Suppose 0 = m*i - 4. Suppose -n = 4*p - 7*p - i, -18 = -3*n + 3*p. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) 0.1 (c) 4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0822 less than -0.4?\nAnswer: -0.3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f + 4. Let t be h(-2). Suppose -3*y = -t*p - 0*p - 6, 0 = 4*p + y + 26. Let l(w) = -w**3 - 5*w**2 - 8*w - 5. Is l(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z = -43*z + 140. Calculate the greatest common divisor of 21 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 743*a - 41*a - 42*a to d*a + c and give d.\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e3e (base 15) in base 7?\nAnswer: 25124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 4:28 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6. Let o(a) = 3*a + 30. Let c(j) = 7*j + 60. Let k(l) = 2*c(l) - 5*o(l). Let r(h) = 6*k(h) - 30*q(h). Let p(g) = -7*g. Give p(r(d)).\nAnswer: 42*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4842 + 37.3258. Let b = 38 - m. Let n = 0.203 - b. Round n to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89*l**4 - 2 - 9 - 87*l**4)*(424*l - 839*l + 432*l).\nAnswer: 34*l**5 - 187*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**6\/24 + 2*h**5\/15 - 5*h**2 - 3*h. Let l(q) be the first derivative of k(q). What is the third derivative of l(m) wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n + 8 = 0. Let b = 297 + -281. Suppose 0 = -4*v, 8*q = 4*q - v + b. Solve -d = 5, -14 = q*o + n*d - 2*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3230 (base 6) to base 7.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 1 + 21 - 5. Calculate the least common multiple of 3 and c(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/(39 - 36). What is the closest to -2\/9 in c, -2, 0.1, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-112)\/6)\/((-28)\/42). Let c = -26 + i. What is the third derivative of p**c + 0*p**2 + 9*p**6 - p**6 + 2*p**2 wrt p?\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.64 + -2.64. Let x = 15 + -24. Let w = x + 3. Which is the biggest value? (a) -5\/4 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 797, 2648, 6247, 12176, 21017, 33352?\n\"Answer: 97*q**3 + q**2 + 3*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/75)\/(6\/(-27)))\/(-2*3\/(-80))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/8 - 2157*t**3\/8 + 185341*t**2 - 81525465*t\/2 + 1123322256 = 0. Calculate t.\nAnswer: 32, 361, 882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205893292252.799987 - 205893410121. Let z = -117867.2 - q. Let m = 1 - z. Round m to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305*d + 312720 = -2838*d - 766*d for d.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10129 and 79.\nAnswer: 800191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -369.3705 - -4\nAnswer: -365.3705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 322*m**4 + 338*m**2.\nAnswer: 7728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xll when three letters picked without replacement from xxlxlxx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*y**3 - 27*y**3 - 37*y**3 + (2*y**2 + y - y)*(-2 - 3*y + 2).\nAnswer: -79*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -47*i**6\/120 + 11*i**5\/60 - i**4\/6 + i**2 - 242*i. What is the third derivative of x(k) wrt k?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-1 + 1 - 2) + 1 + 1 - 1)*(-4 + 1 + 1)*(-5*h + 8*h + 0*h).\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -5.2. Let i = 341.8 - 342. Which is the nearest to 1? (a) 0.2 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 33*l**2 + 1. Let k(n) be the first derivative of n**2 + 554. Give k(p(r)).\nAnswer: 66*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 - 20*g**2 - 600*g - 6000.\nAnswer: -2*(g + 30)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:00 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5431*n - 7589*n - 2772*n - 1309*n in the form l + s*n and give s.\nAnswer: -6239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 606237a?\nAnswer: 6062379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 6:31 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**3 + 15 + 4951*f**2 - 46 + 1071*f**2.\nAnswer: -2*f**3 + 6022*f**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -33*h**2 - 2*h + 1. Let l be o(-2). Let f = -122 - l. Solve -2*b = -b + f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 11:40 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, j: 7, k: 6}. What is prob of picking 2 s and 2 j?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 102\/757 at most -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1593 >= 3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 24*q - 133 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 10031688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2ba2 (base 12) to base 7\nAnswer: -21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*l - 0*i - 1540, 5*l - 3850 = -i. Suppose 0*b = 4*b - 3*d - 754, 0 = -4*b - 5*d + l. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s**3 - 25*s**2 + 25*s**2 - 25*s**2.\nAnswer: 7*s**3 - 25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*i + 5*i. Suppose -i*k + 3548 = -6*k. Is (-4)\/8 + -2*k\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480014176 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 105101681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3348 + 3349. Put -5, -44, l, 0.03 in descending order.\nAnswer: l, 0.03, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 591 + 522. Let t = y + -1112.6. Let w be (-1)\/(-2) - (-7)\/2. Which is the nearest to 1? (a) w (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 82410461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = 0, -3*n + 2*y + 1 = 2. Suppose -h + n + 1 = 0. Suppose h*j - 146 = -5*f + 98, -2*f = j - 98. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 2*u**2 - 374*u - 1075. What is r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21219 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3700009, 7400008, 11100003, 14799994?\n\"Answer: -2*m**2 + 3700005*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 4*z - 7. Let i be p(6). Suppose 5*y - 5*s = -10, 2 - i = y - 2*s. What is the common denominator of (-1815)\/(-6)*y\/30 and 39\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (4 + -4)) + -11 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 478 = -158. Let a = 109 - t. Suppose a + 46 = 5*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16128587 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.7 + -39. Let c = 240.29 + -239. Let q = c - g. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.6, -3, 16, -2 in increasing order.\nAnswer: -3, -2, -0.6, 1\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(143) - sqrt(143))*2 + sqrt(143) - sqrt(143))*-4)\/(sqrt(539) + -4*(sqrt(539) + (sqrt(539) - sqrt(539)*1) + sqrt(539))).\nAnswer: -16*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 12 = -8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50386, -50389, -50394, -50401, -50410, -50421?\n\"Answer: -m**2 - 50385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2\/5 (b) 0.4 (c) -6 (d) 13.1 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000219467181 rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pgqqqpgqqqqgggpq. What is prob of sequence ppg?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -488*u - 6 + 6 + 1581*u.\nAnswer: 1093*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*j - 15, 4*j = -3*w - 2*w + 12. Which is greater: w or -355?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 835, 1870, 3309, 5146, 7375?\nAnswer: 9990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 397821546 to the power of 1\/2, to the nearest integer?\nAnswer: 19945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + -3)\/((-2)\/(-8)). Let g be (-5)\/(p\/12) - -13. Let m be 5\/(g\/(-6)) - -3. Which is smaller: m or 3\/16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263142079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 72.9. Let v = 6 + -3. Let w = 0 - 1. What is the second smallest value in v, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, h: 2, e: 5}. Give prob of picking 2 h.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 n when three letters picked without replacement from ttnnntntntntptnnt.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013334.\nAnswer: 2, 3, 7, 23, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/6 + 40147*y\/2 + 3912220\/3 = 0. What is y?\nAnswer: -120376, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28291171339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 14*x - 2. Let o(n) = 1882*n**2 - 746*n - 11. Let j(s) = -o(s) + 5*z(s). Find the second derivative of j(p) wrt p.\nAnswer: -3784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 49 + 48 + -10\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 210*g**3 + 1991 wrt g.\nAnswer: 630*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = -0*r - m, r = 4*m + 3. Suppose -2*n = h - r - 2, n - 3*h = 6. Let f(b) be the first derivative of -b**3\/3 + 5*b**2\/2 - b - 1. Give f(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1328590 and -22586049\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 divided by -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 74, 109?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -8*w + 6*w - 14, 13 = 2*l - w. Suppose l*i - 12 = -8. Does 14 divide (-4 + (1 - i))*(-14)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*s**2 + 10*s**6 + s**2 - 8*s**2 + 0*s**6 wrt s.\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -34. Sort -1\/4, 4, z, 3 in ascending order.\nAnswer: z, -1\/4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/150 and -74\/33.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10290 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 9*a - 70 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 886? (a) 1 (b) -8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 1.927.\nAnswer: 2.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 329 and 47?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*13\/(-6)*29\/(-377)*39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + -1. Suppose -7*v - 5 = -2*v. Let w(z) = 2*z + 1. Let s be w(v). Put 4\/7, a, s in increasing order.\nAnswer: a, s, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a + 7. Let r be v(13). Let o = r + -30. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 1, -15, -7, 2 in decreasing order.\nAnswer: 4, 2, 1, -3, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v**3 - 5*v**2 + 30*v - 58. Let w(s) = -5*s**3 - s**2 + 15*s - 29. Let k(a) = -4*t(a) + 9*w(a). Determine k(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 116 - 1653035?\nAnswer: -1652616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 313 - 657*w**6 - 270 - w**2 + 2*w**5 - 2*w**5 wrt w.\nAnswer: -78840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 39*o - 1. Give k(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -35.27. Let v be 4 + -1 + -4 + -5. Let p be v\/10*(-240)\/72. Which is the smallest value? (a) z (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 144*b - 1236. Let t be w(-10). Let k(z) be the second derivative of 0 + 5\/2*z**2 + 1\/12*z**t - 1\/2*z**3 + 7*z. Calculate k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 495.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-8) + (-52)\/(-8). Let r(h) = 20*h + 7. What is the units digit of r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**5 - c**4 + c**3 - c**2 + c. Let k(a) = 25*a**4 - 3*a**3 + 28*a**2 - 2*a. Let p(j) = k(j) + 3*z(j). What is the third derivative of p(b) wrt b?\nAnswer: -180*b**2 + 528*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2. Let h(m) be the second derivative of m**5\/60 + 3*m**2\/2 - 2*m. Let o(b) be the first derivative of h(b). What is v(o(k))?\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-75))\/(((-4)\/11)\/((-80)\/88)). Solve 4\/5 + 2\/5*x - 2\/5*x**3 + j*x**4 - 6\/5*x**2 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2829*n + 373404. Give a(-132).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(20\/15)*32\/(-6). Let j = h + 43. Let k(r) = 0*r**2 - 7*r**2 - j*r**2. Let d(n) = 2*n. Determine d(k(g)).\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -444.57*-22\nAnswer: 9780.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 76892 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21.1*-5.859\nAnswer: 123.6249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 4)\/(10\/(-5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11698 - -0.11709277. Round v to 6 decimal places.\nAnswer: 0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2\/3 + 20*z + 60.\nAnswer: 5*(z + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 6*r + 14 = -2*o, -3*r - 2 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**4\/2 + 1884*j**3 - 2662092*j**2 + 1671793776*j - 5926. Factor o(k).\nAnswer: -2*(k - 942)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuuwuudwnu. What is prob of picking 1 w, 1 u, and 1 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15231432817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (26\/3 - (-1)\/3)*843. Suppose -2*j + o = 4*h + j, -20 = -4*j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 3*k + 22, -5*k - 20 = 4*g - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 47*h + 52. What is z(-5)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 1122661325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7457 divided by 5\nAnswer: 7457\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 24822 = 4*u - 38062, -3*u - 3*v = -47148. Is 131 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -19*f + 13*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 20 - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**3 + l**2 + l - 1. Let z = -6 - -7. Let j be n(z). Let u be (4\/10)\/((-62)\/j). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 9*z - z - 3*z - 4. Suppose 2*l + 6 = 3*w, 0 = -5*w - 2 + 22. Calculate j(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.85 - -1.45. Which is the second biggest value? (a) 0.21 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270 and 1630170.\nAnswer: 4890510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70549 + 53978.06.\nAnswer: -16570.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 6:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 155105\nAnswer: -155104.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48518570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 0*g + 3*g. Let f(p) be the third derivative of p**5\/30 - p**2. Calculate f(q(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -165633.7602.\nAnswer: 165631.7602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 33, 15, -23, -87?\n\"Answer: -b**3 - b**2 + 6*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1415 - -1413. Sort r, -4, -0.2, -5 in ascending order.\nAnswer: -5, -4, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 2*k + 4*q, 10 = -5*q. Let p = 1420.59 + -1421.09. Which is the closest to -9\/7? (a) p (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 27. Let r be n(9). Suppose -4*f + 5*i + 136 = -f, -2*f + 3*i + 92 = r. Suppose 3*l - f = o, -o - 7 = -3. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, w: 1, f: 2, m: 1}. What is prob of picking 1 f and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/225 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 9*r - 2. Let k be 21 + r + 0\/(-1). What is the derivative of -8 + 7 - 41*n**3 + k wrt n?\nAnswer: -123*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 8:47 PM?\nAnswer: 268","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -125*t - 101*t = -231*t - 180 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j**2 + 1. Let d(p) = p**2 - 19*p + 19. Suppose 0 = -3*u + 30 + 24. Let t be d(u). Let z(q) = -3*q**3 + q**2. What is t*x(w) + z(w)?\nAnswer: -2*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2317 + -1166. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 1 = j, -12*j + 10*j + 20 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 10712.\nAnswer: -2142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6173\/17 + 363. Let k = 0.819 + -0.919. Let q = 0.8 - 1. What is the closest to k in 5, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vyxvxxv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*k - 93*k - 5*g + 91 = 95*k, -4*k - 5*g + 82 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -28.8. Let y = i - 4. Which is the third biggest value? (a) y (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let v = 35 - u. What is the remainder when v is divided by (-111 + 3)\/(-2)*1\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - (-45 - -59) - 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**3 - 190*m**2 + 136*m + 551. Calculate t(-64).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 6*r**2 + 2. Let j be 3 - 3\/(-3) - 7. Let c be i(j). Find d, given that 0 + 0*d - 1\/7*d**4 - 1\/7*d**c + 2\/7*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.9 + 0.9. What is the biggest value in 0.5, z, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3937756 to the nearest 1000.\nAnswer: -3938000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.149527ml?\nAnswer: 0.003149527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30928\/47 + 658. Let z = u + 55\/188. Is 1 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 682*k = 699*k + 51 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 48. Let y be d(0). Let u = 238\/5 + y. Which is the third biggest value? (a) u (b) -5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/7)*f)\/(f*f*(f*(f**1\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyutttktk. Give prob of picking 1 u, 2 y, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56425 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 18*s**2 - 4*s + 2. Let l be g(-18). Let d = 124 - l. Solve 0 = 2*a - 5*j - 15, -3*a = 4*j - 15 + d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134614 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942786.8 kilometers to nanometers.\nAnswer: 942786800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-17\/3)\/w**(-3))**(-23) assuming w is positive.\nAnswer: w**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/13 (b) 0.07 (c) 0.25 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + s - 41 = 0, 3*s - 9 = d + 2. Let g be (12\/d + 2)\/(-2). Which is the second biggest value? (a) 1\/6 (b) g (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-85))\/(4\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12007080?\nAnswer: 2, 3, 5, 33353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 964290880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -581*i**2 + 132*i + 12. Let u(y) = -393918*y**2 + 89474*y + 8134. Determine 6*u(s) - 4067*v(s).\nAnswer: -581*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 226*c**2 - 14*c - 42. Let g(k) = k + 3. Determine -5*f(u) - 70*g(u).\nAnswer: -1130*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**3 + u - 2*u**2 - 10*u**3 + 19*u**3. Let m be h(1). Suppose -25 = -j - 5*k, 0 = -m*j + 2*j - 5*k + 65. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.1. Let d be 224\/360 - (47\/(1316\/24))\/(45\/21). Suppose 0 = -3*t - 2*t - 20. Which is the closest to -4? (a) t (b) d (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**3 + 5*p**3 - 21*p**3 - p**3 + 23 as y*p**3 + r*p + m + u*p**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 9260 divided by 463\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - (6 + -3) - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, 8 in descending order.\nAnswer: 8, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 5336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -18. Solve -12 = 3*u - x, 0*x + 4*x = -v*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 20. Let n(q) be the third derivative of 7*q**5\/30 + q**4\/24 + q**3 - 63*q**2. List the prime factors of n(w).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*x + 15828 + 59899, 2*k - 37832 = -2*x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 - 249*j. Let d(l) be the second derivative of l**4\/6 - 1533*l. Determine o(d(x)).\nAnswer: 4*x**4 - 498*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415\/3 + -2935\/21. Which is smaller: -0.06 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.00018 + 2. What is l rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -32, -33, -34, -35, -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/3136 and -37\/2856.\nAnswer: 159936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*k + 40, -1259*v - k = -1255*v + 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -4 + -3.\nAnswer: -7 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 11*l**2 + 5*l**2)*(3*l + 4*l - 5*l) + 162 + 61*l - 80 - 3*l**3 - 80.\nAnswer: 21*l**3 + 61*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -53, -86, -119?\n\"Answer: -33*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/4)\/((6 - 2)\/(-24)). Suppose -4*w + f = 3*w. Let c be (4\/(-3))\/(-4) - 1\/w. Solve -4*l + 4*y = c, 5*l + 2*y = 4 - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 2)*(-19)\/(-3). Let m(o) = 2*o - 40. Let t be m(s). Put 1, -1, 0, t in descending order.\nAnswer: 1, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1.3 (b) -0.1 (c) -8 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 11*t**2 - 10*t - 4. Determine g(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1608 and 6?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34109560 divided by -921880.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.092458, 6\/7, 4, 1\/2.\nAnswer: 0.092458, 1\/2, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20023212 (base 5) to base 15\nAnswer: 31bdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - 1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.2 in 806, 5, -3, -1, 1\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.74 + -0.24. What is the nearest to -1 in 7, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 109*u - 100*u. Solve 3*r - k - 8 = 0, 3*r - 2 - 11 = -u*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:15 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q**2 - 1. Let r be s(1). Suppose -r*k + 748 = -220. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77.57, -0.5, -4\/9 in ascending order.\nAnswer: -0.5, -4\/9, 77.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from wzwkbwewbkzb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*q - 3, u = -5*q + 3*u + 2. Suppose -i - 5*k + 35 = q, 0*k + 105 = 3*i - k. Calculate the remainder when i is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 446\/3*r + 48*r**2 + 100 - 2\/3*r**3.\nAnswer: -2*(r - 75)*(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16085*s + 47396 - 63481 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 160*x + 1. Let r(d) = -d**2 + 5*d + 1. Let g be r(3). Suppose -g = -3*i - 4. Is k(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/45 + (-142)\/(-18). Suppose -3 = -x*b + 21. Suppose 0 = b*h + l - 279, l + l - 279 = -3*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/495 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*y**2 - 4 - 25*y**2 + 2 to a*y + b*y**2 + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.6. Suppose 21 = -3*h + 3*v, 2*h + 3*v + 9 = -h. Let p = h - -6. What is the closest to p in -4, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42 - 2) + 10 + 5 + 15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8655717 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 2*i + 4*q + 5484 = 0, -i + 1095 = q. List the prime factors of i.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4303\/136 + 370\/17. What is the common denominator of a and 87\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 18*y = -15*y + 2, 2 = 5*i - 4*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428286033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.39 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (117\/(-2))\/((-376)\/64 - -6). Is 10 a factor of q\/(-8) - (-21)\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4 - 151 - 36 - 139*u - 75 wrt u?\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from uahap?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 280 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4672742 - 12?\nAnswer: 4672730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 0.3, 0.5, -8, 14, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubbbbbbu. What is prob of picking 1 u and 3 b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 49. Suppose -n*w + 18 = -18. Suppose 6*z + 9 = w*z. What is the smallest common multiple of z and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/((sqrt(60)*-3)\/sqrt(12)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -434224 (base 7) in base 12?\nAnswer: -37b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 1. Let m be j(2). Suppose 0 = -4*a, -5*t + 2 = -m*a - 8. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1885205092 by -2.\nAnswer: 942602546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/((-54)\/6))\/(((-4)\/(-10))\/(88\/(-20130))).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 39, 6, -4 in descending order.\nAnswer: 39, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 1. Let m be j(2). Suppose 3*c - 5003 + 5021 = 0, 0 = -4*v - c + 22. Solve -v*p + 8 = -m*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*5\/2. Let o be (5\/(s\/(-28)))\/(-2). Let -2*q**4 + 0*q - 3*q**2 - o*q**2 - 8*q**3 - 4*q = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 10. Let p be m(-7). Let i be (12\/10)\/((-2)\/5). Let n = -1 - -0.8. What is the smallest value in n, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20023433 (base 5) in base 15?\nAnswer: -31c2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from yteyqeyqeeceteyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -0.8, -0.5, -20\/9, -9, -0.219?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 11) in base 8?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let g(p) be the third derivative of -10*p**2 + 0*p + 0 + 0*p**3 + 0*p**4 - 1\/5*p**5. Give g(b(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 143062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/1170 and -11\/12168?\nAnswer: 60840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 2*h = -25*a - 23, 120*a - h = 113 - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.47 - -5.03. Let s = -5.3 + w. What is the nearest to 1\/5 in 3, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/161 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-8 + 11)*12\/(-20). Which is the nearest to 2.7? (a) u (b) 3\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 19*p - 43*p + 61 + 419 = 0 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2400)\/(-3520)*(3 + 8). Factor 5\/4*m**3 + 55\/4*m - 15\/2*m**2 - d.\nAnswer: 5*(m - 3)*(m - 2)*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55\/78, -12, -289, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**2 + 208*i + 420 = 0.\nAnswer: -2, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3799 times 5.0686\nAnswer: -19255.6114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 2*s - 4. Let g(t) = t**2 + t. Let i(k) = -g(k) - j(k). What is the units digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (56\/42)\/((24\/9)\/4). Differentiate 3 + 69*j**u - 12*j**2 + 15 + 12*j**2 wrt j.\nAnswer: 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 + 33*j + 105. Is 57 a factor of m(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 + 11*n - 6. Let l(m) = 2*m**3 + 3*m**2 + 23*m - 13. Let a(q) = 4*l(q) - 9*x(q). What is a(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -587 + 736 - 462 + 0*t**2 - 6*t**2 as d + n*t + x*t**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(450)\/sqrt(9) + 3 - ((sqrt(128) - (-2*sqrt(128) - sqrt(128)))**2 + (sqrt(32) - sqrt(96)\/sqrt(3))**2).\nAnswer: -2045 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1290278, 1290276, 1290274, 1290272, 1290270, 1290268?\n\"Answer: -2*u + 1290280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 2372. Let n = 5863 + l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 108*f - 10117. Calculate l(60).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = x - 9, 4*d = -2*x + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -979*f. Let u(y) = 54*y + 5. Give u(w(n)).\nAnswer: -52866*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-103*7\/336)\/((-6)\/8) and 5\/(-40*4)*(-154)\/(-3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/4*(-8)\/(-6). Let y = 10 - 5. Suppose 3*z = -z + 8. Solve -3*m = -z*f + s, -m = 2*f - y*m - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 220 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49110)\/1637 + (-32)\/(-2) + (-258)\/(-19)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4, 3*h - 5*x = 53 - 21. Suppose -4*r = -7*r - 5*l + 1554, 0 = -4*r - 2*l + 2072. Calculate the greatest common factor of r and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 96 = 112. Solve -d - 8 = 6*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516000856 to the power of 1\/4, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574\/(-2)*(-2)\/(-2 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*q**3 - 4967334 + 4967334.\nAnswer: -164*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 899 + -897. What is the nearest to -1\/7 in 8, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23\/8 (b) 1 (c) -1\/10404\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 53 + 13 = 0. What is the third derivative of 5*l**5 + 13*l**5 + l**2 + l**t wrt l?\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooojojo. What is prob of picking 2 o and 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*6*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 891178 and 22?\nAnswer: 9802958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -198. Suppose -47*p + w*p = -340. Calculate the remainder when p is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34906, 133, 0 in descending order.\nAnswer: 34906, 133, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -977 - -1103. Calculate the remainder when n is divided by 109.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9360227?\nAnswer: 1049, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 2*n - 3*n**2 + 4*n**2. Let h be (-7 + 38)*(-1)\/1. Let c = -33 - h. Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 14*l = 149, -3*l + 0*l + 14 = 2*r - 5*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/970 and -27\/3830?\nAnswer: 371510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96938?\nAnswer: 2, 19, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 912.64 + -894. Let d = 19 - b. What is d rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1279*b + 1049 + 9214 = -11480 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, h: 5}. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 - l**4\/6 - l**3\/3 + 2*l**2 + 14*l - 2. Calculate the remainder when m(4) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142133 - 0.5?\nAnswer: -0.642133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 10249848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124269247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 1. Let d = 16 + k. Solve -f = -2*f - 2*p - 1, -5*p - d = f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5eed - -21?\nAnswer: 5f0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.31 - -24.31. Which is smaller: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 17\/2*h + 5 + 1\/2*h**3.\nAnswer: (h + 1)*(h + 2)*(h + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 4:26 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8329*f - 310436 + 191965 - 398868 = 315561 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2. Let v(x) = x**2 + x + 1. Let a be v(0). Let z(y) = 3 - 2*y - a - 2. Determine w(z(t)).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6\/2520 + c**5\/420 + c**4\/168 - 4*c**3\/3 - 2. Let s(i) be the third derivative of b(i). Factor s(m).\nAnswer: (m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 0*b**3 + b - 18 - 695*b**2 - 5 - 5*b**3 to x*b**2 + m*b**3 + a + y*b and give x.\nAnswer: -695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 times 3?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5049 divided by 1\nAnswer: 5049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 4*y + l - 3*l, -l + 29 = 2*y. Let m = -17 + y. Suppose 0 = 5*d - 2*i - 141, m*i + i - 31 = -d. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8861934, -8861935, -8861936?\n\"Answer: -f - 8861933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q**4 + 7*q**3 + 7*q**2. Let b be 5 + -7 + 39\/(-3). Let i(n) = -13*n**4 - 13*n**3 - 15*n**2. Let v(y) = b*h(y) - 6*i(y). Factor v(p).\nAnswer: -3*p**2*(p + 1)*(4*p + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (38\/(-16) + 4))\/(27\/(-18))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-8 - (-8 + 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/18)\/(4*(7 + 1144\/(-165))).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/78)\/(8\/96)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/8993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (1 + -2) - (-39 - (21 - 23)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -394992 divided by -144.\nAnswer: 2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 3*x**3\/2 - 4*x**2 - 76*x. Let p(z) = 17*z - 15. Determine -11*j(q) + 6*p(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-4)\/(32\/(-22)). Let o = -5 + t. Let i(y) = -6*y**2 - 4*y + 12. Let c be i(-2). What is the nearest to 0.2 in 5, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-y**2 + 0*y**2 - 2*y**2)*(6 - 7 + 10).\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 473440 = -25*v - 107445. What are the prime factors of v?\nAnswer: 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**2\/2 + 2*k - 1. Let n be t(3). Suppose n*w - 58 = -13. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 20*h + 49. What is f(-11)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1448707?\nAnswer: 8\/1448707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2204, -5, -12 in descending order.\nAnswer: 1, -5, -12, -2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -40 - (5084 + -5102)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -62304, -64616, -66928, -69240, -71552, -73864?\n\"Answer: -2312*o - 59992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1306*u - 2571*u**3 - 711821*u**2 + 711821*u**2 + 1000*u**3 wrt u?\nAnswer: -9426*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(912) - (sqrt(912) + sqrt(912) + 2*sqrt(912) + sqrt(912)) - (sqrt(8208)*2 - sqrt(8208) - sqrt(57)))\/(2*-2*sqrt(243)).\nAnswer: 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-1)\/6)\/(18\/(-135))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 950977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2228c + -a9?\nAnswer: 221b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(1\/3))**22\/(((b\/((b\/b**(-2\/3))\/b))\/b)\/b)**35 assuming b is positive.\nAnswer: b**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*s - 271*s - 360*s.\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.7 + 1.1. Let i = 1.7 + g. Let r = 14.9 - 14.4. What is the second biggest value in 1, 0.06, i, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12747 bigger than -165718\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*u**4 + 240554*u**3 - u**2 + 23614*u + 133.\nAnswer: -72*u**2 + 1443324*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -14 - -22 - (3 - (-1 - 5)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -0.5. Suppose -22 = 7*m + 48. Let g be (-1)\/m*(4 - 2). Which is the second biggest value? (a) z (b) g (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/102767 and -45\/49.\nAnswer: 719369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1496 (b) 5 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 103 and 8.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -6 - (-961 + 1071)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 128 + 100. Suppose 0 = -0*b + 4*b. Suppose b*p - 2*p = -u. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 1)*(-1 + 1 + 2)*(-3 + 1 - 3)*(0*h**2 + 2*h**2 + h**2)*(-h - 2*h + 2*h) as b*h + k*h**3 + l*h**2 + z and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20918780 is divided by 58.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03353 and -156.4044.\nAnswer: -156.37087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + -2 - (-4)\/(-2). Suppose -66 + 21 = -y*g. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36ba74 (base 16) in base 8?\nAnswer: 15535164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74965 is divided by 14991?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -84, -125, -166, -207?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1618 + -1617.389. Let r = -0.681 + v. Let w be -1 - 0 - (-3)\/4. Put r, 2\/7, w in decreasing order.\nAnswer: 2\/7, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7441641 or -7441639?\nAnswer: -7441639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjgfggjgfggfjjjjj. Give prob of picking 2 j.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -95407+4\nAnswer: -95403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4805*d - 4811*d - 36 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-785)\/(-628)*(-16)\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -567\/32 or -17?\nAnswer: -567\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 65163, 130280, 195399, 260520, 325643, 390768, 455895?\n\"Answer: c**2 + 65114*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 920 or 929?\nAnswer: 929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74)\/185*(-3)\/(36\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*y - 185 - 25 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8235)\/1701 + 4\/14 + 5.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.6 - -4. Let k = -1.4 + w. Put k, 2, 0.2 in descending order.\nAnswer: 2, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22733 + 10338.\nAnswer: -12395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1*sqrt(272)*-2 - sqrt(272))*6)**2 - ((sqrt(272) - (sqrt(272) + 3 + (sqrt(272)*-2)**2)) + sqrt(272) + -1 + sqrt(272) + 2)) + 5.\nAnswer: -267649 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + o)*(4*o + o - 3*o) + 5*o**2 - o**2 + 5*o**2 to the form l + d*o + m*o**2 and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30637.2413 - 0.1759112.\nAnswer: -30637.4172112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 830*f - 830*f - 9*f**2.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11560 - 5041. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1045 divided by -3.\nAnswer: 1045\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 76 = 0. Let p = 37 - m. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88001 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20716, -45697, -70678, -95659, -120640, -145621?\n\"Answer: -24981*p + 4265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**5 - 13*f**3 + 59*f**2 + 13*f. Let d(t) = t**5 - 6*t**3 + 29*t**2 + 6*t. Let q(u) = 13*d(u) - 6*n(u). What is the third derivative of q(k) wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 417 - 292. Suppose -10*p + 5*p = -a. What is v in -82*v + 97*v + p - 5 - 5*v**2 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29.35 - 0.25. What is a rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Suppose 0*p - 14 = -7*p. Suppose -2*u - 3 - 3 = 2*i, -p*u - 3*i - 11 = 0. Suppose a + 3*o - 13 = 0, -3*a - u*o = a - 2. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 1087\/7. Sort i, -5, -1\/5.\nAnswer: -5, i, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-63)\/2)*(-10)\/(-10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 2. Let h be u(6). Let f be 75 + (h + -2 - 0). Let m be 7 + (-19)\/(-304)*0. What is the greatest common divisor of m and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49788 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261010.\nAnswer: 2, 5, 43, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3784256 - 3784215 - k**2 + 8*k - k**2 to j + l*k + b*k**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -10)*(-2)\/(-2). Calculate the greatest common divisor of c and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*u - 255. Let t = -101 - u. What is the remainder when t is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, 3, 4458?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-4)\/(-8))\/((-6)\/8). Suppose 9*m - 3*j - 16 = 8*m, k*j - 4 = -3*m. Let u = -1.9 - -2. Which is the biggest value? (a) -2\/11 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 19. Let s be t(13). Let m = s - 3. Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -362 (c) -0.1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.06, -5, 2, 4\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909156357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = 21*i + 131027. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 77*b - 43. Let t(k) = -k + 1. Let v be 247\/(-285) + (-2)\/15. Let d(x) = v*y(x) - 2*t(x). Find the first derivative of d(p) wrt p.\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*l**4*p**2*z + 209*l**3*p**2 + l**3 - 17*l**2*p + l*p**2*z - 2531*z wrt l.\nAnswer: 2520*l*p**2*z + 1254*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1010\/99 in 2\/3, -7, 3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 13*k**6\/120 + 5*k**3\/6 + 10*k**2. Let m(x) = -32*x**3 - 12. Determine 12*f(s) + 5*m(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -579*g + 6941. Give t(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*l**2 - 166*l**2 - 10*l + 300*l**2 + 29*l in the form b + a*l**2 + n*l and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 19*f**2 - 9*f**2 - 17*f**2 - 54*f**2 + 2*f - 17*f.\nAnswer: -99*f**2 - 15*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*z - 20 = 216*z + 5*w, 3*w + 17 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 758 = -751. Solve 2*n = 9 + h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-40)\/(-15))\/(1 - (-4)\/(-6)). Suppose 11 = o + y. Solve 0 = 2*d - 10, o*r = d + 2 - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.271 - -48.271. What is the nearest to 1\/4 in -2\/7, -3, j, -140?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1043.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:49 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6 - 44\/(-12). Let d(w) = -w**3 + 5*w**2 - w + 2. Determine d(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -182, 3\/5, -3 in descending order.\nAnswer: 1, 3\/5, -3, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 778286101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2*b + 2*b**2)*(-30*b + 46*b - 26*b)*(2*b - 2*b + 3*b)*((-2 + 2 + 2)*(3 - 2 - 2) + 4 - 1 - 2).\nAnswer: 60*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -1.9. Let i = f - -2. Which is the smallest value? (a) i (b) -4\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 + 23073*l\/5 - 529092\/5.\nAnswer: -3*(l - 7668)*(l - 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3.5. Let m = 25.5 + k. Let y = -30.72 + m. What is y rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001421330 (base 5) to base 12.\nAnswer: -7b74a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(2 + 7*o - 2) - 4*o**2 + 2 - 5 - o + 6*o**2.\nAnswer: 9*o**2 - o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:02 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*k**2 - 10*k + 473 wrt k.\nAnswer: -8*k - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 1702 = -2218. Suppose -y = 15*g - 35*g. Let c = -21 + 38. Calculate the remainder when g is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 384 and 4010112.\nAnswer: 4010112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 10 + (-2 - 4) + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-627)\/(-6) + (-39)\/104*(-8)\/2. Calculate the greatest common factor of 1166 and i.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 5. Calculate the least common multiple of 7\/(14\/o) - 0 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -14650, -1\/4, -1.8, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9497796500 to the nearest one million.\nAnswer: 9498000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -31. Let t = 13 + m. Let i be (-1)\/2*70\/t. Solve -5*y + 31 = -4*c, -5*y - 2 = i*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -115?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -y + 182, -2*f = 4*y - 180. Let b = -78 + f. Find the third derivative of 3*p**5 - 21*p**2 - 14*p**5 - 13*p**5 - b*p**2 wrt p.\nAnswer: -1440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1701830 divided by -89570.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t + 19. Let w be p(-18). Let x = w + -71. What is the third derivative of y**6 - 2*y**x + 22*y**6 - 12*y**2 - 6*y**2 wrt y?\nAnswer: 2760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 14649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/39)\/(4\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09366422 smaller than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2196\/(-183))\/(84\/(-54)*24\/28).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76812 divided by -6?\nAnswer: 12802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56, 124, 174, 200, 196?\n\"Answer: -s**3 - 3*s**2 + 84*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2537841.714 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 11*p + 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + 4. Let l = 57.18 - 28.9. Let p = q - l. What is p rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 6*b - 2*b**2)*(-1 + 1 - 7)*(3 + 2 - 4).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r - 7*r - 21*r - 14*r - 18*r - 11*r.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/3)\/((-19)\/1083) - -5. Suppose 0 = -3*r - 5*r - i. Sort 2, r, -31.\nAnswer: -31, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 107. Let b(q) = -q - 10. Let n(h) = -h - 12. Let a(f) = 6*b(f) - 5*n(f). What is a(d(u))?\nAnswer: -u - 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1638261 + 0?\nAnswer: -1638261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vggvvgbpgwwvgwggpgbw. Give prob of sequence wp.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3 - 7. Suppose 5*w - u*d + 14 + 13 = 0, -5 = -w + 3*d. What is the units digit of -2 - w*1\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 11. Suppose -5*m - 49 = -d*w, 2*m + 2 = -w - 0*m. Let a be (w\/14)\/(2 - 0). Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -o - 21, 4*d + o - 4*o - 47 = 0. Let j = 8 - d. Suppose -l + j = -20. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77606940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -66, 1\/3, -0.3, -5 in descending order.\nAnswer: 1\/3, -0.3, -1\/2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let b(u) = 4*u. Calculate 2*b(j) + 5*r(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 3\/4 (b) 0.4 (c) 10\/5333 (d) 1\/3 (e) -2\/11 (f) 1 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.574 + 448.816. Round y to the nearest ten.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**7\/231 - 4*j**6\/165 + 3*j**5\/55 - 2*j**4\/33 + j**3\/33 + j. Factor m(o).\nAnswer: 2*o*(o - 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 7217 - 608. Let q = 317 - d. Solve n - 10 = 5*b - 2, b = -q*n + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22559671 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 2)*(10*x - 19*x + 5*x - 3) + x - 21 - 5 - 4 to f*x + q and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72\/335 + 1\/67. What is the closest to 0.2 in -2\/7, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 0.12 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*s + 4*n, 5*s - 29 = 4*n + 15. Suppose 3*j = j + 6. Solve v = -j*v - s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4736 and -31133.\nAnswer: -14744.5888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21303797 > 21303795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (404\/(-707))\/((-6)\/203) - 19. Let y*w**4 + 0 + 5\/3*w**2 + 2\/3*w + 4\/3*w**3 = 0. What is w?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -587 + 595. Let d(i) = -2*i**2 + 12*i - 1. Calculate d(j).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 - 231. Let k = -10141\/3006 + 16\/167. Calculate the common denominator of k and (-291)\/s + 2\/7.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 6) in base 11?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 13 - 0 - -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1*68\/306)\/((-19)\/(-228)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-22 + 3 + (3 - 6)). Suppose -7*r = -34 - 8. Is r\/(-21) + 3 + 2043\/u a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 10*o**2 + o + 4. Suppose 18*h = 47 - 227. Determine r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(1008)) + -4)*-3.\nAnswer: 21 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/12)\/((-1)\/(-33)). Let y = n + -27. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259207, 518408, 777609, 1036810, 1296011?\nAnswer: 1555212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 + 5*b + 6. Let f be t(5). Let c = f + 29. Calculate the smallest common multiple of c and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 978648.\nAnswer: 2, 3, 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Calculate the smallest common multiple of 12 and h\/(6\/32) - -2.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 628, 100, -6, 81 in increasing order.\nAnswer: -6, 81, 100, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 809573\/6 and 134929 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -32*c + 81*c + 7 - 36*c - 8 - 116*c. Let t(o) = 34*o. Give -7*t(x) - 2*w(x).\nAnswer: -32*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 - 7.5. Let y = q + 4. Let o(j) = j**3 - 34*j**2 - 35*j - 3. Let a be o(35). Sort -2\/19, a, y.\nAnswer: a, -2\/19, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7 = -1. Let r = 170 - 168. Suppose a - x*a + 437 = -5*z, r*z = 2*a - 858. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -3. Let m = 87 - c. Solve 8 = -m*x + 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 7*y + 19. Let j be s(8). Let z(c) = c**2 - 10*c - 8. Let h be z(j). Differentiate 0 + i**3 - 3 + 0*i**3 + h*i**3 wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 6 + (-24 - -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122361 is divided by 112?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*u + 674 - 674)*(u**4 - 2*u**4 + 0*u**4).\nAnswer: 20*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 516 + -515. Put -5, -1\/14, 0.4, c in decreasing order.\nAnswer: c, 0.4, -1\/14, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -601642*v - 136. Let b be z(-8). What is b rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519.3394 millilitres to litres.\nAnswer: 0.5193394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3213 and -7.397?\nAnswer: 6.0757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*a**3\/6 + 12523795*a**2 + 49040170*a\/3 + 1581940 = 0.\nAnswer: -158194, -6\/5, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10 + 21\/(-6) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.24. What is o rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 15 = -15. Is ((-69)\/(-5))\/((-3)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from {k: 2, y: 2, x: 1, n: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071409 to five dps.\nAnswer: -0.00714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h - 8*h**4 - 17*h + 30*h - 2*h**3 as f*h + a*h**4 + v*h**2 + z*h**3 + g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuc when three letters picked without replacement from {u: 6, c: 4, x: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -13493 and 1561.\nAnswer: -11932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -278619 and -143.83?\nAnswer: 278475.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 78*d**3 - 4*d**2 - 1.\nAnswer: -78*d**3 - 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*11*-1*(3\/9)\/(606\/1818)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100 * 111.449\nAnswer: -11144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from rhpccqphhrpwhphqhr?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -18083, 1, 2 in ascending order.\nAnswer: -18083, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -881*m. Let c(k) = 208*k - 7. Calculate d(c(t)).\nAnswer: -183248*t + 6167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 3*g**3 - g**3 + (2*g**2 + g**2 - 2*g**2)*(g - 4*g + g) - 2*g**3 + g**3 + 0*g**3 + (-2 - 2*g**3 + 2)*(6 + 0 - 4).\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzdlrjj. What is prob of sequence zdjt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(-2))\/s))\/s**(2\/3))\/(s**(2\/3)\/s**(-3\/8)) assuming s is positive.\nAnswer: s**(31\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*i + 43, -9*i + 30 = 4*n - 10*i. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 18*q - 3. Let y be t(-4). Solve y = 2*z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (498*w - 132*w - 255*w)*(2 + 5 - 6) to b + q*w and give q.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (90\/(-37395))\/((-2)\/(-60)). Is 1 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.7 + 1.609.\nAnswer: 10.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-5) + ((-198)\/(-30) - 5). Let k(o) = -o + 14. Let q be k(11). Which is the biggest value? (a) -0.2 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 97, 227, 433, 733, 1145?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 316 = -8*b + b. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/924 and 51\/1988.\nAnswer: 65604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 2, m: 6, g: 6, w: 2, b: 1}. Give prob of sequence gbg.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-40))\/9*((-64)\/12)\/4.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffffffffffffff. Give prob of sequence fffj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 557*k**5 - 3 + 558*k**5 - 6*k**5 + 2*k**5 - 5*k**5 + (5 - 2 - 2)*(-k**5 - 4*k**5 + 4*k**5).\nAnswer: -9*k**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80888191 * 6\nAnswer: -485329146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 399 or -74.5?\nAnswer: -74.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sq when two letters picked without replacement from {z: 1, s: 1, g: 1, x: 2, l: 1, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*i - 3389 - 328 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 25*d**2 - 2*d - 3. Let a(v) = -v**3 + 45*v**2 + 3*v + 5. Give -3*a(f) - 5*s(f).\nAnswer: -2*f**3 - 10*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128608.431 rounded to the nearest ten thousand?\nAnswer: -1130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 135*c. Let u(j) = -8*j**2 - 130*j - 1. Calculate -2*u(r) + 3*w(r).\nAnswer: -2*r**2 - 145*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b**3 + 3*b**2 + 5*b**3 - b**2 - 2*b + 1. Let k be o(1). Suppose l + k = 3. Let g(q) = 2*q**2 + 1. Calculate g(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51511613 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.8572646 times 0.1?\nAnswer: -2.78572646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/67476 and 35\/19896.\nAnswer: 111875208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -18834.11311 to the nearest ten.\nAnswer: -18830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 12*l**2 - 2*l - 4. Let z be i(5). Let u = z - 37. Let q = u + -96. Calculate the lowest common multiple of 18 and q.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 24 = -4*d, 3*d - r - 19 = -8. Suppose -2*j + 4*l + 19 = j, -d*j + 17 = -3*l. Let v be (j - 4)\/((-315)\/(-60)). Sort -0.5, v, -5 in decreasing order.\nAnswer: -0.5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*x + 397*x - 5544 - 6306 = 0 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 27 = -7. Let a be (1\/2*-1)\/(t\/160). Solve 0 = 4*d + 4*l, d = 4*d + 5*l + a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*b - 4887*u + 4894*u - 473, 15 = 2*b - 5*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07736 + 0.06736. Which is the third biggest value? (a) x (b) -234 (c) -5\/4 (d) 2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -2\/151 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-136)\/(-544))\/(0 - (-2)\/(-96)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -114\/53, 4, 2 in increasing order.\nAnswer: -114\/53, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 + 30 = 0. Suppose -z*j + 241 = 97. Suppose -9*m**2 + j*m**3 - 6*m**5 + 2*m**5 - 23*m**2 + 12*m = 0. What is m?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19213 is divided by 362?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckqjqqqqjkmjk. Give prob of sequence qc.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*y + 19533 - 52773 = -1735*y - 234*y for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**5\/7 + 12*k**4\/7 + 4*k**3\/7 - 12*k**2\/7 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 7:53 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3*412\/12. Suppose -4*q + 4*o = -88, 5*q - 3 = 3*o + w. Solve -5*b + 0*b + q = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21055 divided by 5.\nAnswer: -4211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, k: 7, e: 2, u: 5, q: 5}. Give prob of sequence eug.\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 135755 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*l**3 - 2*l**2 - 48*l + 25*l**3 + 36 + 23*l**2.\nAnswer: -3*(l - 3)*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143531 or -143527?\nAnswer: -143531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -111\/31, 0.14, 0.3, 0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*f**2 + 0*f - 2*f**2 + 5*f - 4*f in the form z + l*f**2 + x*f and give l.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -17*k**3 - 3*k**2 - 2*k. Let x be g(-1). Let i be (x\/(-6))\/(6\/(-9)). Suppose i*a - 51 - 77 = 0. Calculate the smallest common multiple of 10 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 0 (c) 429.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102484107799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4150*r + 4 - 4 + 4150*r + 2*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/6 and 5\/172.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -133, 0, 6, -169, -2, -5, 1 in decreasing order.\nAnswer: 6, 1, 0, -2, -5, -133, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 59 = 195. Suppose 2*z + 7*u - 4*u + 15 = 0, 2*z - 5*u = 25. Suppose z = -4*n + 2*n + f. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 6, t: 1, p: 3, r: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, a: 1, q: 2, h: 1, w: 1, t: 1}. What is prob of sequence twa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -47. Suppose -3*r = -9, -r - 181 = -2*f - 10. Suppose 36 = z*w + 2*o, -3*w - o = w - f. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 11:48 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14153863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3999567758 - -0.39996. Round v to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 18. Let t = -7 - 2. Let k be w(t). Let h be (1\/(-3))\/((-2)\/6). Is k equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/(-115)*5\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2 = 20 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 22 + 102 = 0. Let a(y) = -y**2 + 6*y + 5. Let w(u) = u - 4. Let d be w(9). Let t be a(d). Calculate the highest common factor of t and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -307 - -325 - (17 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/19)*f**(-12) assuming f is positive.\nAnswer: f**(-226\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*s + 16, 4*f + 2 = -s - 2. Suppose -a = -0*v - v + 5, f = -3*a - 12. Sort v, 0.2, 2.\nAnswer: 0.2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - h + 0 + 0 + 0 - h + (-1 - 1 + 0)*(2 - 2 + 2*h) - 2*h + 0*h + h + 10 - 13*h + 8 + 18*h - 3 - 3 + 5 - h.\nAnswer: -3*h + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12606, 25279, 38012, 50805, 63658, 76571?\n\"Answer: 30*s**2 + 12583*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3315783 to four dps.\nAnswer: -0.3316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -91490.\nAnswer: -17\/91490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = 5*x, 5*x - 5*k - 5 = -0. Let -20*h**2 - 7*h**3 - 32*h + 10*h**3 - 16 - 7*h**x = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.2? (a) 32 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65821 is divided by 610.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (633\/(-1688))\/(5\/180*-1).\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -688 (b) -941.07 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**5 + 3*h - 7*h - 10*h**5 wrt h.\nAnswer: -340*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -5.\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 3 + 3)*(4 + 2*t - 4) - 4*t + 0*t + 3*t)*(-5 + 2 + 1).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5. Suppose 2*f + 3 = 3*v - 2, -2 = 2*f - 2*v. Sort f, 1, k.\nAnswer: k, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 h when four letters picked without replacement from {h: 8, a: 2, o: 1, x: 7}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 15*x**6\/7 - 93*x**5\/14 + 152*x**4\/21 - 64*x**3\/21 + 2*x - 29. Factor z(f).\nAnswer: 2*f*(f - 1)*(15*f - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 426 + 346 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518700 and 130?\nAnswer: 518700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636288 divided by -9942.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 17*i**2 - 113*i + 68. What is q(22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 83 - 15 + 2*v + 98.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(432) - 2*(1 + (sqrt(48))**2)*-5.\nAnswer: -48*sqrt(3) + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-15))\/(15 - (-8500)\/(-570))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 7010644?\nAnswer: -7010646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 61*q**2 - 128*q + 127. Give h(63).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 - 8*w + 8. Let z be n(7). Let l be (3\/(-9))\/(z\/(-3)). Solve -2*c - 7 + l = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91984150?\nAnswer: 2, 5, 53, 103, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8932700 rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*l - 16*l**2 - 207*l + 102*l.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138860, 138855, 138838, 138803, 138744, 138655, 138530?\nAnswer: 138363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let l(q) = -7*q + 2*q - 7*q. Calculate l(v(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 5\/2, -3\/7, -2\/15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 2*h + 11*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*w = 94, 83*t = 46*t + 34*t - 5*w + 130 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = -z - 2*z, -8 = -2*z. Suppose 0 = -k - 2*h, -4*k + 2*k + 7 = -3*h. Suppose 3*m = -k + r. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f**3 - 16860*f + 8430*f + 8428*f + 43*f**3 + 198*f**3.\nAnswer: 209*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -211155?\nAnswer: 211154.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*p + 21 = 0, -1 = -3*y + 3*p - 5*p. Let o(f) = 268*f + 1618. Let u be o(-6). Which is the nearest to 0? (a) y (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r + 10 = 0. Let f(n) = -n - r*n + n. Let b(a) = -6*a**2. What is b(f(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3568 - -3570. What is the closest to -0.7 in s, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*(l\/(l\/(l*l**(1\/3)*l)))\/l*l))**47)**(1\/72))**4 assuming l is positive.\nAnswer: l**(-329\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = -7. Which is greater: a or -74\/5?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41574 + -5?\nAnswer: 41567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15 - -716?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/4, 0.01, -2, 1\/5, -31?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r + 26*r**2 + 26*r**2 - 94*r**2 + 29*r**2 to i*r + d + k*r**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((12 - 8) + 4\/(-3))\/((-17)\/(-204)). Solve -2*c - 14 = -4*p - t, p - 2*c = -6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3276 and 2261259?\nAnswer: 9045036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 981339751 to the power of 1\/3, to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 40659926*d**3 - 29909*d**2 - 59818*d - 29909. Let r(y) = -2719*y**3 + 2*y**2 + 4*y + 2. Determine -29909*r(a) - 2*z(a).\nAnswer: 2719*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**5 - 186297*s**4\/2 - 279451*s**3\/2 + 93147*s**2\/2 + 279449*s\/2 + 46575 = 0.\nAnswer: -1, -1\/2, 1, 93150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/14*(-17)\/119.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 952\/714*1\/2 + 32695\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50929233193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/((k**11*k)\/k))*k**11*k**(-6)\/(k**(1\/6)*k*k) assuming k is positive.\nAnswer: k**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.61068 years in millennia?\nAnswer: 0.00361068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 280 (b) -4 (c) 5 (d) 86\/5 (e) -0.4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6504 + 16204. Round p to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-51)\/15 - 3\/(-5). Solve 2*s = 3*s + 4*t - v, -3*s - 12 = -3*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 8:50 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12*r = 715. Suppose 0 = h + r - 324. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 22. Let a = u + 9.1. What is the third biggest value in -0.7, a, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -27. Suppose -38 = -k*r + 2. Calculate the least common multiple of r and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 11*r = 3. Solve 0 = -r*k + 5*j, k = 4*k + 5*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67 + 3a?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 0, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06551781 rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - s**2 + s + 1. Let y be i(-1). Let p = -1 - y. What is the units digit of 3\/3 + p - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Let v = 7.5 + -2.5. Which is the third smallest value? (a) d (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 729708 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 + (-6 - -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14952 - 14945. What is the remainder when 402 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*j - 0*r - r, 14 = -2*j + 4*r. Suppose 9*k = 11*k - 28. What is the remainder when (j*1)\/(11\/(-891)) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000093029 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024 + 1032411124?\nAnswer: 1032404100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3214\/6428)\/(((-1)\/(-32))\/((-2)\/4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t - 6. Let k be a(11). Suppose k*b - 141 = -2*j, -3*j - 4*b + 237 = -5*b. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 53. Suppose -3*t + 5665 + 3332 = w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19797727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2256 = 11*w. What is the remainder when w is divided by 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248 = 2*x - 1260. Solve -13*b + 5*b = x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343 divided by -166\nAnswer: -343\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 2 c when four letters picked without replacement from {c: 4, z: 4, u: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201*d = -506*d + 124*d - 662*d - 48051 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - b42?\nAnswer: -b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.21 - 7.6. Let l = -15689.09 - -15689. Let f = l - y. What is the closest to f in 2, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24355\/6, -4, -3 in descending order.\nAnswer: -3, -4, -24355\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 5*d - 1. Let i(u) = u**2 - 6*u + 3. Let p be i(6). Suppose 5*x + 0*x = p*g - 41, g = 3*x + 19. What is the units digit of k(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2141, 4271, 6397, 8519, 10637?\nAnswer: 12751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*d**2*m + 851*d**2 - d*m + 6*d + 72618*m wrt d?\nAnswer: 4*d*m + 1702*d - m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, 3\/5, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034560 is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 1. Let v(s) be the first derivative of -4*s**4 - 4*s**3\/3 - 4*s - 1709. What is 4*j(b) + v(b)?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 32936*i + 32817*i - 2.\nAnswer: -119*i - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m + 902. Let r(n) = -5*n - 901. Calculate -6*f(x) - 5*r(x).\nAnswer: x - 907","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14284 - -39?\nAnswer: 142bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 f when four letters picked without replacement from {f: 5, c: 11}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13 - 6*q**5 + 2*q + 13 wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-76)\/18 + 2 + (-208)\/117 + 6. Let c(x) be the second derivative of 0 + 0*x**y - 1\/6*x**4 + 0*x**3 - 15*x. Let r(v) = -30*v. What is r(c(w))?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/7 + 1\/14. Let z = -12 - -8. Let n = -0.4 + -0.1. Which is the third smallest value? (a) k (b) z (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 5. Let k be (1 - w)*(-46)\/4. Let h = k - -33. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -212 or -221?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 10*l**2 - 8*l + 7. Calculate the remainder when w(7) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = 2. Suppose -2*c + l + 6 + q = 0, -3*l = -5*c + 19. Is -2 + c - (-14 + (-4)\/(-1)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v + 3. Let y(h) = 10*h - 4. Let x(k) = -7*b(k) - 5*y(k). Let t be x(-1). Let s be 3*(1 - t)\/1. Solve -p = 5*q - 17, -1 = s*q - 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 69 = -1471. Suppose -4*m = -2*m + p. Find the common denominator of m\/8 - (8 - 6) and -39\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*p - 5*c, -5*p + 4*c = c - 17. Let l = 4 - p. Suppose d - l*d + 4 = 0. Solve -g + 5*v = d*g + 26, v - 14 = 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 l when four letters picked without replacement from dddllldddl.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1032)\/473*(-165)\/(-20).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -23.\nAnswer: -23.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9538821 less than 3.64038?\nAnswer: -9538817.35962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 71 - 7. Solve -3*a - 4*n + 14 = -0*n, 0 = 3*a + n - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 69 = -21 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexkukvyuvxk. Give prob of sequence xu.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (7 + -10 + -4 + 4 + -8) - -39?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 236\/13 or 18?\nAnswer: 236\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38976)\/(-18816))\/(1\/(-14)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/6893 - -461699\/151646. Let c be (631\/(-20))\/(3\/(-43)). Let d = c + -1343\/3. Find the common denominator of q and d.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*-2 + -3 + 1 + sqrt(3).\nAnswer: -sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1208374 and 1188318.\nAnswer: 5014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (0 - -2))*0. Let y = -2 - 0. Let r(o) = -2*o. Let u be r(y). Solve k - 4*k - 13 = q, h = u*k + 3*q + 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 + 44. Let j be ((-8)\/(-24))\/(t\/36). Solve 2*h - 7*h = 4*n - 5, j*h - 3 = -5*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/5 - 88*i**4\/5 + 876*i**3\/5 + 2024*i**2\/5 + 1058*i\/5.\nAnswer: 2*i*(i - 23)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) - (1 + sqrt(1573)))) + sqrt(13))*1 + 4 - (2 + (sqrt(4212) + sqrt(4212) + 2 + sqrt(4212))**2).\nAnswer: -37909 - 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10021200212 (base 3) in base 9?\nAnswer: 107625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -390*x**3 + 3*x**2 + 78*x + 312. What is the tens digit of o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 4 = -5*p. What is the least common multiple of (p + 17)\/(2*(-1 - -2)) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6100 + 5690 = 12*n. Calculate the highest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -43. Which is the third biggest value? (a) 5 (b) -26 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + sqrt(28)) + (sqrt(5) - (sqrt(5)*2*-3 + sqrt(5)))**2.\nAnswer: sqrt(5)\/3 + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4 + sqrt(252) + (sqrt(252) - (sqrt(252) - (sqrt(252) - (-1 + sqrt(252))*-6) - sqrt(252))))*-3)**2*6.\nAnswer: 11664*sqrt(7) + 1102464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**2 - 80*t + 396 = 0.\nAnswer: 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -874*j + 7033. What is c(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18068385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + v - 351, 7*r = 3*v + 853 - 253. Let j(t) = t**3 - 6*t**2 - 4. Calculate the remainder when r is divided by j(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**3 - 20*f**2 - 1 + 17\/2*f.\nAnswer: (f - 2)*(4*f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -22.2. Let m = 0.08 - u. Is 0 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = 3305 - 8450. What is the remainder when (441\/m)\/((-2)\/(-230)) is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 131577676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/6 - y**2\/2 - 9*y. Let s be x(4). Put 4, s, -26 in descending order.\nAnswer: 4, s, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -367340*i**2*o**3 - 171*i**2*o**2 + 3*i*o**3 - 26*o**3 + 968969*o**2 + o wrt o?\nAnswer: -2204040*i**2 + 18*i - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from axbeae.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/15 + 554*x**4\/15 - 12508*x**3\/5 - 23296*x**2\/3 - 15680*x\/3 = 0.\nAnswer: -2, -1, 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from kwu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 16*v + 31. Let g(o) = 13*o - 236. Let d be g(18). Let f(b) = 3*b + 6. What is d*j(u) + 11*f(u)?\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -29. Let m be 2\/(40\/s - 2). Calculate the highest common divisor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -636744 by 1.\nAnswer: -636744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -18. Let c be 4 + 0 + 1 - 27. Let n = b - c. Let k(q) = -q**3 + 8*q**2 - 9*q + 7. Give k(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**9\/s)\/(s*s**(-2\/11)))\/(s*s**(-3))**(4\/13) assuming s is positive.\nAnswer: s**(1258\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 40, 61, 82?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*t = 40, -3*t + 28 = 7*g - 2*g. Let n be ((-6)\/g)\/(1\/4). Let j be 1\/(n\/12*2). Which is the biggest value? (a) j (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0148 - 118707443.\nAnswer: -118707442.9852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 330)*(3481\/472)\/59?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96664437 * -0.2.\nAnswer: -19332887.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 2. Let w(j) = -1. Calculate -3*v(y) - 4*w(y).\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 25*d**2 + 60*d - 11. Is o(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 - 504*t + 105840.\nAnswer: 3*(t - 420)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80786 is divided by 374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -34*3\/(-6)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 55.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1218 and 2494?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1743442, -3486872, -5230302, -6973732?\n\"Answer: -1743430*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 30, -30 in decreasing order.\nAnswer: 30, 3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(-2))*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5465 by -1093.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, -5, -6.\nAnswer: -13, -6, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 b, and 1 d when three letters picked without replacement from bbbdyzzbbez?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*p + 3. Let b be (-80)\/14 - p\/(-21). Let g be 4\/b - (-437996)\/(-6). Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhbbbbhhb. Give prob of sequence hh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 597 and 261.\nAnswer: 51939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 2.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 (base 3) in base 4?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*2)**2 - -1*sqrt(539).\nAnswer: 7*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 2:22 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**5\/20 - n**4\/6 - n**3 + 7*n**2\/2 - n. Let c be y(-6). What is the common denominator of -89\/4 and (3\/30)\/((-2)\/c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -428*o**3 - 18*o**2 + 14*o + 93. Let k(a) = -142*a**3 - 6*a**2 + 4*a + 31. Let v(b) = -7*k(b) + 2*s(b). Find the third derivative of v(r) wrt r.\nAnswer: 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 512*u**2 - 1540*u + 12.\nAnswer: 4*(u - 3)*(128*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100212001 (base 3) to base 9.\nAnswer: 10761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368.9361 centuries in millennia?\nAnswer: 36.89361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 + 95. Suppose g*v = -3*v - 12. Let l be v\/(-16) - 299\/(-104). Solve -2*w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/23, 0, -6\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v + 2*x + 70, -3*x - 87 = 5*v. Let u be (-6)\/27 + (-52)\/v*97. Let s = u - 99. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519243268 to the power of 1\/2, to the nearest integer?\nAnswer: 38977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 53 - (5 - -34)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6738 and 16682165.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -2\/3 (b) -2\/15 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -1847?\nAnswer: -1847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -50 - -52 - (-2 + 3)*4. Let m be 4 - p\/6*-3. Solve t - m = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -624027?\nAnswer: 624072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 1 - 11. Let g(p) = 3 + 4 - p + 5*p + 5*p**2 + w*p**3 - 4*p**3. Calculate g(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 790 + 366 = 0. Suppose q = -4*b + 5*t + 3002, -3*t = 3*b - 1845. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (2 - 1) - -1. Suppose -44 = -4*f - 4*a, -p*f - f + 41 = a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (-21 - -9) + 23 + (0 - -12) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - (sqrt(104) - (sqrt(104) - -1*2*sqrt(104))))*-6)\/(sqrt(56)\/((1*sqrt(7)*-1 - sqrt(7)) + sqrt(7))))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-5)\/25 - (-38)\/10. Calculate the remainder when 4 is divided by (-3)\/(((-6)\/12)\/(2\/i)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -109487*o - 547437. Calculate z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 16 + 16 + p**2 - 32. Let i(w) = -153*w. Calculate n(i(o)).\nAnswer: 23409*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -11. Let q be (b\/5)\/((-6)\/(-15)). Does 17 divide ((-145)\/10)\/(q\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**6\/120 + 19*j**5\/60 - 11*j**4\/12 - 4*j**3 - 10*j**2. Is 16 a factor of s(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8*y**3 - 4*y**2 + 4*y. Let b be h(3). Let a = 7599 - 7596. Let 0*r**3 - 50*r - b - 94*r - 6*r**2 - a*r**3 - 30*r**2 = 0. What is r?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:35 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = 15. Let z = n - -3. Is z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 divided by 9?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-one halves of a micrometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-27))\/(86\/(-258)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 25\/6*s**3 + 0 - 1\/12*s**4 + 0*s - 28*s**2. Let k be l(12). Put -8, k, 2, -1 in increasing order.\nAnswer: -8, -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5889)\/18 + (-6)\/(-36). Let x = i + 327. What is the third smallest value in x, 11, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-15) - (24498\/(-8))\/(-1). Let i = -3061 - w. Let f = -101 + 235\/2. Calculate the common denominator of f and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1197679 divided by 27853.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - 36 - 12) + (-16 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h + 4*h)*(4 + 1 - 2) + (-2 - 3 - 2)*(-3 + 3 - h).\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/4 - -263\/60. Let n be ((6 + -6)\/(-1))\/(2*1). Let u be 7\/14 + 34\/20. Put u, n, g in descending order.\nAnswer: u, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -800*d - 4797. Let r be c(-6). Factor 3*k**2 + 9\/2 + 3\/4*k**r - 33\/4*k.\nAnswer: 3*(k - 1)**2*(k + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:46 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 477*v**4 - 276*v**3 - v**2 + 811084*v?\nAnswer: 5724*v**2 - 1656*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -13*m**6\/24 + m**4\/24 + m**3\/6 + 3*m**2. Let h be (-1 - -3)*1\/(-2). Is f(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i = -27*i + 298. List the prime factors of i.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.018329 rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9)\/(f**(-2\/5)*f))**(-41))**(-2\/89) assuming f is positive.\nAnswer: f**(-1394\/4005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23372232*0.07.\nAnswer: 1636056.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -855302, -855424, -855510, -855542, -855502, -855372?\n\"Answer: 3*v**3 - 143*v - 855162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25)\/(-30) - 436\/(-24). Solve i = -5*y + 2*m - 3*m, -5*y - 3*m = 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 18*f + 1201 = -5*s + 3*s - 0*s, -3*s = 5*f - 99 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 202*k**2 - 2*k - 45. Let t(b) = -202*b**2 + 2*b + 38. Give -5*h(f) - 6*t(f).\nAnswer: 202*f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1573) - (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + -1)) + sqrt(1573))) + -4 + -4)**2*4*-2.\nAnswer: -12872 - 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1715436817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) + (-65)\/(-55). Suppose 0*j + 4*j - 12 = 0, -4*j = -5*f + 23. Is c greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -81*y. Give q(-2).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*x - 81*x = -162*x + 110. Let w(u) = u**2 - 8*u - 8. Give w(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 + 2306*u - 13840\/3.\nAnswer: (u - 2)*(u + 6920)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1 = -4*o. Let w(c) = 77*c - 3. Suppose y = -m - m + 47, -y + 122 = 5*m. Calculate the remainder when w(o) is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.292 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v - 10. Calculate r(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 22.25.\nAnswer: 26.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64086772 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 601, -124680, 2 in decreasing order.\nAnswer: 601, 2, -124680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**2 - 1. Let y(s) = -s - 1. Let b = -512 - -511. Let v(r) = -9*r - 2. Let h(u) = b*v(u) + 2*y(u). Determine h(q(w)).\nAnswer: 70*w**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23, 73, 149, 251?\n\"Answer: 13*k**2 + 11*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + 4. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 35, 76, 131, 200?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) + (-2*sqrt(11) + sqrt(11))*-5 + 1 + 5*(-1*sqrt(11) + 5)**2).\nAnswer: -220*sqrt(11) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -10, 13, -3.\nAnswer: -10, -5, -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or 48\/457?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 12:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:40 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167948 and 116644.\nAnswer: 40475468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and 198224154.\nAnswer: 198224163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, -2.8, 8, -5?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -11*r + 15. Let u be (-4)\/14 - 12\/(-42). Which is the fourth biggest value? (a) r (b) -1\/9 (c) u (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**2. Let h(g) = g**2 + 5*g + 5. Let l(i) = i**2 + 4*i + 4. Let x(w) = 4*h(w) - 5*l(w). Calculate x(z(n)).\nAnswer: -81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3324400 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 51505.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jocjaaccaaajaaajjaac. Give prob of picking 2 j and 1 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86185593?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -654, -2675, -6044, -10761, -16826, -24239?\n\"Answer: -674*k**2 + k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4232, -4248, -4290, -4370, -4500, -4692?\nAnswer: -4958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*l - 25 = 462*d - 466*d, 3*l = 4*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 24*s - 87. Let f be w(5). Suppose -b + 3*l + f = 0, b + 4*l = 5 - 7. What is the greatest common factor of 189 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21010 (base 5) to base 8\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/(-78) - ((0 - -1) + -5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 32. Let t = 16 - 38. Let p = t + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 49 = 5*y + o, -5*o - 20 = 0. Solve -2*l - 4*s + y = s, l - 14 = -3*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*j + 6, -5*k - j + 1979 - 1994 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145745055.\nAnswer: 3, 5, 1079593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 - 325. Let a be ((-42)\/4)\/(o\/160) + 1. Calculate the highest common divisor of a and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074\/(-2327)*(-5)\/((-30)\/4)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d + 578*d**2 - 20 + 260 + 219 wrt d?\nAnswer: 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 2:53 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*r - 11 = 0, -111774*r - 5 = 2*m - 111773*r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*v = -235*v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -52. Solve -9 - j = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q. Let r(w) be the second derivative of 7*w**6\/180 - w**3\/3 + 8*w. Let m(j) be the second derivative of r(j). Calculate l(m(x)).\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((0 - 7) + (28 + -8 - -38))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 457904?\nAnswer: 3205328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**0)**(-2\/9)*(z*z*z\/z**1*z)**(-36))**(-28))**(-25) assuming z is positive.\nAnswer: z**(-75600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of 5\/6*d**3 + 8*d + 0 + 0*d**2. Let r(o) = 2*o**2. Calculate g(r(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 3 + 0 - 1 - 2*p**3 + 2*p in the form l + g*p**3 + u*p**2 + c*p and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-64800)\/(-380))\/(-24) - (0 + -7). Which is the third smallest value? (a) r (b) -0.4 (c) 171\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913595 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84680 and 2893720.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4281105 + 4364834 = 829*l for l.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -28231153\/8 less than or equal to -3528895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8968 - 8816. Calculate the highest common factor of u and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 316483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - k - 15, 0 = -3*m - 4*k + 36. What is the remainder when 37 is divided by 212\/m - 4\/16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 205 + 217. Suppose -2*x + s*c = -273, -2*x - 4*c + 212 + 68 = 0. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 3*x - 6*x)*(2*x + 3*x - 4*x)*(6 - 6 - 7*x**2) - 2639*x**2 - 361*x**4 + 2639*x**2 to k*x**4 + d*x**3 + q*x + u + n*x**2 and give k.\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 10. Let o be l(-10). Let q(t) = 2*t**3 + 1 + o + 0*t**3 - 5*t**2 - t**3 + t. Suppose -2*j + 4*j = 10. Calculate q(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8987)\/(-129) + 2\/((-12)\/(-2)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*d = 121*d + 225. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 41*i + 1. Let r be v(-7). Let g = r - -551\/2. Let k(b) = 6*b + 2. Find the common denominator of g and k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -16*l**2 + 76*l - 225. Let t = 187 + -194. Let c(k) = -11*k**2 + 50*k - 150. Let d(i) = t*c(i) + 5*f(i). Factor d(j).\nAnswer: -3*(j - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/317040 and 149\/25680?\nAnswer: 33923280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 172 = 4*w, -2*m = -3*m + 5*w + 175. Let f = m + -113. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2 + 4*sqrt(700) + 6*(sqrt(700)*2 - sqrt(700)) + -2)*6)**2.\nAnswer: 2519996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147940.1205 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*i = 1, 2*i + 11 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3898329 + 14*o**3 - 2*o + 2*o + 31*o**3 - 3898329.\nAnswer: 45*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, 1 in decreasing order.\nAnswer: 6, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t - 12 = 0. Suppose 1 = -t*s - 5. Let d(o) = o**2 + o. Let b be d(s). Solve i = 3*i - b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6523 and 7116?\nAnswer: 78276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h + 27*h - 74*h + 25*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -16. Which is the nearest to -1? (a) -1 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1}. What is prob of picking 2 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 1 k when three letters picked without replacement from yikzj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 28. Let n be u(20). Suppose 9 = -11*d + n*d. Let y(s) = -13*s**3 + 6*s + 1. Is 29 a factor of y(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/2)\/((-9)\/54))\/(54\/(-42))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s - 5, -2*v - 5*s + 47 = 0. Suppose 2*g = -0*g - 3*m + v, g + 5*m = 22. Solve 0 = -3*u - g + 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -10*q. Let c(y) = 1 - 1 - 2*y**2 + 3*y**2. Determine g(c(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3711, -14961, -33721, -59991, -93771, -135061, -183861?\n\"Answer: -3755*l**2 + 15*l + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788674?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -6\/11, 6\/7, -691?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 1. Suppose s + 2 = 3*k. Suppose -2*b - k*i + 26 = -0*b, b - 4*i = 23. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 - 3 = -2*t, -3*t = 5*f - 4. Solve 0 = -t*m - 0*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1438756.\nAnswer: 2, 11, 19, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.167 from 250.97696494.\nAnswer: 251.14396494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950212653?\nAnswer: 3, 13, 3671, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.019 - 0.019. Let c = 0.1 + -0.2. Let y = 0.9 - c. Is y at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24787.\nAnswer: 7, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32507, -64968, -97429, -129890, -162351, -194812?\n\"Answer: -32461*b - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -1, -20, 2\/9.\nAnswer: -20, -1, 2\/9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.902 - 0.098. Let d be (-2)\/((-6)\/9) - (-1 - 0). What is the closest to -1\/4 in v, d, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/572*1456\/(-48).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 - 2.7. Let d = -0.0607 + -0.2393. Which is the closest to 1? (a) r (b) d (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 44441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 16) to base 13.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -4*q, -3*q + o = -o + 4. Suppose 2*s + 146 = -4*d + 368, -126 = -q*d + 4*s. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 13*h - 3. Let x(m) = 7*m - 2. Let r(q) = -q**3 - 5*q**2 + 4*q - 1. Let s be r(-6). Let n(i) = s*x(i) - 6*z(i). Determine n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d\/d**(-1\/31)*d)*d))\/(d\/d**(-35))*(d**(-9\/7))**(-2\/61) assuming d is positive.\nAnswer: d**(-475547\/13237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 8 = k, -3*n - 3*k - 155 = -95 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 81*i - 14. Let d(f) = 1. Let n(c) = -5*d(c) - w(c). Let v be n(-4). Suppose -4*z - z - 5*j + 415 = 0, v = 4*z + 3*j. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 82 (c) 4\/9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 3:19 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 31*d**2 - 12104*d - 401606. Calculate l(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6)*(-5 - -6). Let c(g) be the first derivative of 2\/3*g**3 + 0*g**2 + 0*g + q*g**4 - 1\/3*g**6 - 2\/5*g**5 - 2. What is l in c(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 + 105 = 0. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, r: 8, l: 2, s: 2}. What is prob of picking 1 r and 2 l?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75556.33 tonnes to kilograms.\nAnswer: 75556330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.055 + -0.0550216. What is d rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**3 - 4*q**2 - 4*q + 1. Let p(y) = y + 5. Let f be p(-7). List the prime factors of t(f).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 38 and 0.5469?\nAnswer: 20.7822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 2*u - 1. Let q be c(-1). Let d(z) be the second derivative of 0 + 0*z**2 + 1\/20*z**5 + 1\/18*z**3 + 1\/12*z**q - z + 1\/90*z**6. Factor d(p).\nAnswer: p*(p + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*u - 13 - 18, 2*u = -5*h - 9. Suppose -u = -2*t + l, 6*t - 3*l - 20 = 2*t. Suppose -54 = -t*p - 16. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10474 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5632 - 5632.03. Let a = 3 + -3. Let r = 0.3 - a. Sort 2, r, 0, m.\nAnswer: m, 0, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 108. Let y = 0 + 0. Suppose y = 2*u - j + 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwwwwqwtw. Give prob of sequence wwq.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 + 8*g + 52. What is the tens digit of r(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 476548427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a = 35*a - 11319. Calculate the lowest common multiple of 18 and a.\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + w**2 + w - 12. Let f be j(0). Let v be (-200)\/f + 2\/6. Suppose -v*a + 13*a = -340. Is 36 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1960 and 170797585.\nAnswer: 1366380680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28392, 28378, 28364, 28350?\n\"Answer: -14*s + 28406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {t: 2, p: 1, k: 1, u: 4, r: 3, z: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/3)*b*b\/(b*b**(-2)*b)*b**(-2)\/(b**(-4\/9)\/b) assuming b is positive.\nAnswer: b**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 at least as big as 1870?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016067086 to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 0. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 6*v - 58. Let i be f(7). Let x = i + -80. Solve 0 = 7*c - x*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23296.7 grams to milligrams.\nAnswer: 23296700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3 - 82*d**2 - 92*d - 18.\nAnswer: -2*(d + 1)*(d + 9)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067236276 rounded to 4 dps?\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(-3*42\/72)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252*x - 3*x**2 + 4 - 252*x to z + v*x + t*x**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-7)\/(-6)) + -2. Let k = r - -21. Let h = 54 - 16. What is the remainder when h is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -201596269*m**3 - 2*m**2 + 36233*m + 887 wrt m.\nAnswer: -1209577614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.5 - 2.1. Let d = c - -25.4. Let h be -1 + ((-2)\/4 - -2). Sort h, 1, -3, d in ascending order.\nAnswer: -3, d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 14209 (b) -2\/3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 393655913?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 202*o + 62574 = 208*o, -4*o = 5*q - 62556. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2916 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwppwppppppppwppwppw. What is prob of sequence pwpw?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 1 o when three letters picked without replacement from gxaagaaoaax.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4\/1119, 1.1, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38779.\nAnswer: 13, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -19, -68, -139, -238?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43506.78197 - 43982.78196956. Let r = -476 - b. Round r to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4684169381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112120320 - -2002?\nAnswer: -112113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 7 (b) 37747 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/7 + 9. Let y = 15 + -11. What is the third smallest value in -1, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2, -5*s = -2*p - 7 - 9. Suppose 35 = s*i + 3*i. Which is the nearest to -2\/9? (a) 2\/15 (b) -4\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 49*p - 7 + 2 + 5.\nAnswer: -49*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 282069533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -983\/18333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.10821 - -0.10815989. Round b to 6 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -61965*a + 1858957. Give h(30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 246 - 194. Let c be 65\/y*4\/(-10). Factor 1\/2*q**4 - c*q**5 + 0*q + 1\/2*q**3 + 0 - 1\/2*q**2.\nAnswer: -q**2*(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*90\/(-27) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11744460 to the nearest 100000.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/14)\/(153\/(-238))*3\/(-18).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5*1.8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 + 1 - 10*q**2 + 50*q - 7*q + 28*q**2 - 5.\nAnswer: 14*q**2 + 43*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + 54\/10. Suppose -26 = -r*y + 29. What is the remainder when 31 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2839*o**5 - 60*o**2 + 9*o + 0*o + 293*o**2 - 3436*o**5 - 50*o**2 wrt o.\nAnswer: -376500*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**4 - 7*g**3 + 9*g**2 - 6344*g - 1?\nAnswer: -36*g**2 - 42*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqqkkqqsnnnqnqqqn. Give prob of picking 2 n.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 32*g**3 + 78930*g**2 + 7027464*g - 10265176 = 0.\nAnswer: -2374, -94, 23\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30864 - 1017. List the prime factors of b.\nAnswer: 3, 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c*t - 359768*c + 62410545*t + 103 wrt t?\nAnswer: -6*c + 62410545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*l = 1033, -v - 5*l + 267 = 20. Suppose 3*a = -0*a - 528. Let o = a + v. Is 37 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*t = -93*t + 462. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116433335?\nAnswer: 5, 47, 495461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4422674, 8845349, 13268024?\n\"Answer: 4422675*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 0 + 2 + 463*u - 454*u. Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -14.4. Sort -4, r, -20.\nAnswer: -20, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6430 - 11*w + 6430.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*o**2 + 5251*o - 5251*o - o**3.\nAnswer: -o**3 - 128*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 1582893 - 1176223 - 6593363*a - 323533*a - 2006390 - 2161918 + 10524*a**2.\nAnswer: -4*(a - 1316)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(((k\/(k*k**(-2\/7)))\/k)\/k))**33*k\/(k*k**(-7))*k*k**(-5) assuming k is positive.\nAnswer: k**(648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 19)*((-15)\/4 - -4). Let f be 5 + (4 + 0 - l). Find b, given that 2 - 6 + 8 + f*b**2 - 8*b = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/49*24038\/808?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k + 63*k = 4*q + 28, 2*q = -k - 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 0*u**2 + 0*u**2)*(-1 + 0 + 3)*(-264 + 1328 - 367)*(4 + 2*u**3 - 4).\nAnswer: 5576*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**2 - 2790*o = 0.\nAnswer: 0, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/60 + (3\/(-4))\/((-225)\/3340). Let w(h) = 3*h. Let s(v) = 16*v - 1. Determine c*w(z) - 2*s(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 82. What is x(17)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1323210122 (base 5) to base 15\nAnswer: -45d25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7, 38, 83, 136, 191, 242, 283, 308?\n\"Answer: -o**3 + 13*o**2 - o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 3:35 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*v - 2485 = 1248 - 1231 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 15. Suppose j - 1 + k = 0. Let q(t) = t**3 + 5*t**2 + t + 6. Let s be q(j). Sort s, -5, 0.5.\nAnswer: -5, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -8.5, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2 + 3*l - 22. Calculate s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 11*b = 0. Solve 4 = 4*v - 4*w, b = -4*v + 3*w + 5 - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 424 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 54*b + 3*b**3 - 1 - 26*b - 30*b - b**2. Let y be w(-1). What are the prime factors of 29 + 0*(-1)\/y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1845.\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1015*f**2*g - 242382225*f**2 + 16*f*g**2 - 139*g wrt g.\nAnswer: -1015*f**2 + 32*f*g - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3148 - -3148. Are t and 662 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541635 divided by -3.\nAnswer: -180545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - 2*h**3 - 3*h**3)*(-6 + 39 - 4)*(-h - 2*h + 0*h).\nAnswer: -87*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/746989 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + 5*(sqrt(19) + 2))**2)*-1.\nAnswer: -575 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-579 + 1369 - 696)*(-s - 2*s + 4*s)*(-2 + 2 - 14) - 6*s - 3*s + 3*s.\nAnswer: -1322*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(1265\/(-1012)*(-124)\/50).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -1)\/(3\/2). Let w(h) = -h**3 - 5*h**2 - h - 1. What is w(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -185463, -185463, -185465, -185469?\n\"Answer: -k**2 + 3*k - 185465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.158 + -0.158. Sort p, -2\/43, -0.08, -2 in increasing order.\nAnswer: -2, -0.08, -2\/43, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 6:44 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 5*m**2 - 3*m - 2. Calculate the remainder when 143 is divided by q(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16305*j**3 - 16305*j**3 - 569*j**4 + (-j**3 - j**3 + j**3)*(-4 + 4 - 2*j) + 2*j**4 - 3*j**4 + 0*j**4)*(0*j + 0*j - j).\nAnswer: 568*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 - 6*c + 6*c - 7*c + 6*c + 3*c**3 - c to n + j*c**3 + k*c**4 + d*c + m*c**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -143343 (base 5) to base 14\nAnswer: -2318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.032 - 0.142. Let d = n - 0.39. Put 0.4, d, 5 in descending order.\nAnswer: 5, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + -22 - -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-110)\/(-363)*11*1599 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**9\/2520 - v**7\/315 - 7*v**4\/12 - 8*v. Let z(x) be the third derivative of n(x). Find the third derivative of z(b) wrt b.\nAnswer: 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -375 by -383050.\nAnswer: 15\/15322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(637) + 0 + -3 - sqrt(637)) + 5)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20.8857924 and -11337.\nAnswer: -11357.8857924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020825 to five dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -227*q*y**3 + 3*q*y**2 + q*y - 1685*q wrt y?\nAnswer: -681*q*y**2 + 6*q*y + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1) + -3 + 1. Let b(y) = -y**2 - 4*y - 1. Let m be b(n). Let c(u) = 5*u + 2. Does 6 divide c(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 7308?\nAnswer: 58464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 44825934.\nAnswer: 44825929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 322\/69 + ((-2)\/6)\/(-1). Solve -29 = -4*z - 3*l, -2*z + 0*l = -5*l + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence see when three letters picked without replacement from wjseew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89706821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2. Suppose c = -4*w + w + 12. Let u be (10\/w)\/(3\/6). Solve -5*y - u*o - 30 = 0, 4*y + o + 28 = 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-10) - (126\/(-4))\/3. Let w = b + 20. Calculate the remainder when 57 is divided by w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 4738\nAnswer: -24\/2369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 13946 (c) -1.127 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 1. Let r be t(2). Suppose -v + 5 = 5*h + 4*v, v - r = -3*h. What is the greatest common divisor of 14 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20290.42 litres to millilitres.\nAnswer: 20290420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 563490212.\nAnswer: 2, 73, 131, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.42 and -536.201.\nAnswer: -1297.60642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*o + 122*o - 4*i + 3 = 0, -5*o + i = 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -6*s**3 + 366*s + 2. Let d(b) = -16*b + 2. What is d(f(x))?\nAnswer: 576*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*b - 11730 = -4*p, 4*b - 19532 = -5*p. Does 31 divide p\/7 + 2\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 97454, 97455, 97456?\n\"Answer: n + 97453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.73, 5, -2, -2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -79. Suppose s*l - 15 = 2*c - 3*l, 5*l - 25 = 2*c. Suppose 2*i - 3*i + 152 = c. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 188dd4d?\nAnswer: -188dd5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -5*v**4\/4 - v**3\/6 - 13*v**2\/2 - 44*v. Let z(k) = -7*k**2 - 6. Calculate -6*o(h) + 13*z(h).\nAnswer: -h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15722963 a multiple of 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111010011001110 - 1100?\nAnswer: 101111010011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 80881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-7))\/((-4)\/7)*6. Let i be (n + -20)\/(2\/4) + -5. Suppose -l - 16 = 3*l. Sort i, 1, l in decreasing order.\nAnswer: i, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41863\/23 + 48997\/230. Let w = a + 1600. Let v = -1804 - -7279\/4. Find the common denominator of w and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 11) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:44 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164458749.\nAnswer: 3, 7, 13, 41, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qccqccczcccczcqccz. Give prob of picking 1 c, 1 z, and 1 q.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -6. Suppose 3*w - 6 = 0, -2*c = 4*w - 0*w - q. Suppose -n = c*n - 40. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 22*h**2 - 23*h + 52. Suppose -105*i + 51*i = 153*i - 4347. What is q(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 24*f**2. Let a(w) = -5*w + 3. Let t(v) = 11*v - 7. Let k(q) = 7*a(q) + 3*t(q). Determine s(k(c)).\nAnswer: 96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = 4*k, -4*k + 5*k - 5*m - 31 = 0. Calculate the least common multiple of k and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -884, -886, -888, -890, -892?\nAnswer: -894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000046433728 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 7*q**2 + 4. Let l(y) = y**3 - 6*y**2 - 3. What is 4*l(c) + 3*s(c)?\nAnswer: c**3 - 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3404*i**2 + 2*i. Let j(h) = -927*h. What is r(j(v))?\nAnswer: -2925155916*v**2 - 1854*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8799132 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(0 + (-3)\/3). Suppose r + 2*r = b - 37, y = -3*b + 2*r + 132. What is the lowest common multiple of b\/8 + (-3)\/(-12) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n = 49*n - 996. Suppose -n*x = -1002*x + 22812. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*d + 16 = 0, -4*z + d = -4*d + 13. Let i be (2\/(-4))\/(2\/(-16)). Let m be 2\/i + 81\/18. Solve -4*f + z*f = m*u + 8, -3*f + 2*u = 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272722*z - 1943244 wrt z?\nAnswer: 272722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7321197 divided by 2440399.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - -17. Let t = 139 - g. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009921 rounded to 4 decimal places?\nAnswer: -0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 132 and 97312.\nAnswer: 12845184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2707.\nAnswer: -2\/2707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*b - 61*b - 1820. Suppose 0 = -9*a + 7*a + b. What is the remainder when a is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 - -1.5. Let r = 73 - 73.3. What is the closest to r in f, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220220 (base 3) to base 4\nAnswer: -22200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59390800 and 2100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -92, -5, -28?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104868?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5456381*0.51\nAnswer: 2782754.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3430804*p**2 - 4324567?\nAnswer: -6861608*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -4616e?\nAnswer: -4616d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, -1\/5432, 2 in descending order.\nAnswer: 2, -1\/5432, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**3 + 262 - 46*y**3 - 262.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.3 (c) -5\/8 (d) 108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1699, 1\/4, 3, 0.05, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, 1\/4, 0.05, -5, -1699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9459*q**3 + 26560 wrt q?\nAnswer: 28377*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 a, and 1 c when three letters picked without replacement from {a: 1, l: 4, p: 1, c: 4, o: 3}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:23 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 4 - 3 + 0 + x. Let l be m(-1). Let a be -1*(36\/20 + -2). What is the closest to -1 in a, l, -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.1 (c) -24 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 623687013 + -3?\nAnswer: 623687010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + 3*h - 2. Let w be r(1). Suppose -q + 0*q = 0. Sort 4, q, w in decreasing order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/208)\/(1\/2*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -567, -522, -463, -390?\n\"Answer: 7*f**2 + 24*f - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -337035*j**3 + 5*j**2 - 3*j + 1. Let y be r(-3). Round y to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s - 2. Let b be j(2). Suppose b*x = 2*i + 2, 0 = 4*i - 2*x + 1 + 3. Let t(a) be the first derivative of -2*a**3 + a**2\/2 + a - 2. Give t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*g + 140 = -310*g - 150 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -7*m**3 + 2*m**2 + m. Let y = 224 - 225. What is k(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 28. Suppose -10 = -t + 2. What is the remainder when t is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*c = -214*c + 8. Sort 46, c, 0 in ascending order.\nAnswer: c, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 0, -23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24303 * -69.62\nAnswer: 1691974.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-30))\/(16\/100).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = 2*s + 10, s = -3*p - 5. Let o = s + 8. Suppose 2*q = -o*q + 15. Are q and 3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*m + 3*m**5 + 24*m + (m**2 - m**2 - m**2)*(-2*m**3 + m**3 + 2*m**3) - m**3 + 2*m**5 + m**3 - 4*m**4 - 2*m**5 + 4*m**4 + 3*m**5 - 4*m**5 + 0*m**5.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2118 + 2124. Sort 4, d, 12.\nAnswer: 4, d, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 320 and 30.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19 = 11. Suppose -2*a + 28 - q = -2*p, a - 2*p = 14. Solve a = o + 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -468\/5 - 2\/5*h**2 + 94*h.\nAnswer: -2*(h - 234)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396930 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -5\/2*z**2 + 19 + 45*z. Let u be c(10). Let h(r) = -4*r**2 - 7. Let n(y) = 5*y**2 + 8. Determine u*n(o) - 6*h(o).\nAnswer: -o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -20 (b) -1\/8 (c) -1\/3 (d) -3 (e) -97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15151, -15118, -15063, -14986, -14887?\n\"Answer: 11*x**2 - 15162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.116 + 0.126. Let f = n + -52.01. Let r = -52.73 - f. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2503?\nAnswer: 2506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 40. Calculate p(-23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**5\/7 - 24*p**4\/7 + 244*p**3\/7 - 408*p**2\/7 + 190*p\/7 = 0.\nAnswer: -19, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 692\/3 + -221. Let c = -1323 + 14606\/11. Find the common denominator of c and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.109463 decades?\nAnswer: 0.02109463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 163341.7792 to the nearest 100.\nAnswer: 163300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3674724383?\nAnswer: 11, 30369623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 + 351*t**2 - 494205*t\/4 + 491401\/2.\nAnswer: -(t - 701)**2*(t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -12*y - 61. List the prime factors of a(-18).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 12*c - 3. Let b be k(-4). Let m(j) = -j**3 - 11*j**2 + 4*j - 107. Let h be m(-12). What is the tens digit of h\/(b\/12 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22472 or 27?\nAnswer: -22472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 12*d - 13. Calculate the common denominator of 13\/165 and (2034\/324)\/(d\/3).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -8 + 28 + 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 20 = 52. Suppose d - p = -0*d. What is the second derivative of 15 - 15 + 6*j + d*j**4 wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2198222*i**5*u**3 - i**3*u**3 - 64*i**2*u**3 + i**2*u**2 - i**2*u - 41*i - 104*u**3 wrt i?\nAnswer: 131893320*i**2*u**3 - 6*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l. Let z(g) = 265*g. Let t(j) = 45*c(j) - 2*z(j). Let f(k) = -k**2 - 3*k - 1. Let o be f(-3). Determine t(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 221 and 52?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 14*f**2 - 2*f + 1. Let b be a(-6). Let m = 593 - b. What is the highest common factor of m and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10908 divided by 1666\nAnswer: -5454\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.136 and 553.8.\nAnswer: -75.3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.69, 2\/3, -2, -0.2 in increasing order.\nAnswer: -2, -0.2, 1\/2, 2\/3, 0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 5*u)*(7*u + 69*u - 21*u) - 21 + 21 - 10*u**2.\nAnswer: -65*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -5 + sqrt(5) + sqrt(135)\/sqrt(3))**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4*3*sqrt(1078))\/((6*2*sqrt(77))\/sqrt(7)).\nAnswer: 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 11*w - 1. Is u(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -70*g - 11. Let q(z) = -2*z**2. What is j(q(y))?\nAnswer: 140*y**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/6630 and -73\/520?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = -6. Suppose 0 = -3*m + 2*w + 4, k*w + 4 = 5*m - 2. Suppose -5*u + 4265 + 2540 = m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 - 11*u + 7. Let l(y) = -4*y**2 - 12*y + 7. Let q(z) = 7*l(z) - 6*w(z). Let c be q(10). Let r = -32 + c. Let k(j) = -j - 6. Give k(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 + g**2 - g**2)*(24*g + 7*g - 11*g) as a + i*g + b*g**2 + v*g**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 6. Let s(r) = -1. Suppose -4*y - 2*k - 6 = -22, -28 = -4*y - 5*k. Let t(f) = y*c(f) - 12*s(f). Let n(g) = g**2. Determine n(t(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 5*n. Suppose 2*d + 5 = 3*z, 15 = -d + 5*z - 5. Solve -d*j + 1 + 14 = n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1887*b**3 + 296*b**2 - 296*b. Let v(h) = -32*h**3 - 5*h**2 + 5*h. What is 5*l(d) + 296*v(d)?\nAnswer: -37*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/((615\/(-15))\/41)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/23307867 and 145\/135762.\nAnswer: 512773074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 10 = -11*s. Solve 3*i - 4*x = x - 25, s*i + 21 = -2*x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 21*i + 29. What is the units digit of q(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**3 + j**2 - j. Let v be z(1). Let o = -73 - 487. Calculate the common denominator of (-604)\/o - (-4)\/v and 145\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20676973 - -1013131744\/49. Let a = 815 + f. Let c be ((-2)\/4)\/(2\/4). Which is smaller: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3\/10, 1.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.192 - -0.19202056. What is q rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374490562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2237171, -2237012, -2236853?\nAnswer: -2236694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 132023243 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - ((-8 + -7 - -6) + -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 274, 277, 284, 295, 310?\n\"Answer: 2*b**2 - 3*b + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w - w)*(-253640 - 511*w + 253640).\nAnswer: -511*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyy when three letters picked without replacement from cyycfcfyfh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/648 and (77 + -62 - (-1347)\/(-90))*(-58)\/36.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2429.\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 + n + 2. Let y be i(3). Suppose -y = -3*t + 22. Suppose 249*s = 240*s + 108. Is s greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Let s(j) = -2*j**v - j**3 + 4*j**3 + 7 - 3*j - 9*j**2. Is s(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 17*k - 244. Let d = k - -256. What is the highest common factor of 42 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32237, -64467, -96697, -128927, -161157, -193387?\n\"Answer: -32230*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -88?\nAnswer: -13\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (4 - (6 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2. Let h(l) = l**3 + 7*l**2 - l - 4. Let i(d) = h(d) + q(d). Let o be i(-6). Solve -o*g + g = -4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 19 (c) -8\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -70. Let y be 22\/(-2 - (-2 - 2)). Let m = y + -6. Calculate the greatest common divisor of m and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9299 - -9225. What is the second smallest value in i, 0.07, 1\/8?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/20*1)\/(93\/62).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/12 and 19\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9831, 4, -25, -14 in ascending order.\nAnswer: -25, -14, -5, 4, 9831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -8. Suppose -124*k + 472 + 5108 = 0. Calculate the remainder when k is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*k + k + 2*l, 4*l = -3*k - 7. Let i be -1*(-1*(k + 7) - 13). Solve -12*u + i*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -301*n. Let t(q) = -2*q + 6. Determine t(f(v)).\nAnswer: 602*v + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2, -1\/18, 3, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 35127 - 10927. Round g to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.0873 rounded to two decimal places?\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 3526670.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -51 - ((9 - -17) + -105) - 57\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1008) + 3)**2 + -2 + ((sqrt(1008) + 2)**2 + sqrt(1008))*3 + sqrt(1008).\nAnswer: 264*sqrt(7) + 4056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -712? (a) 0.02 (b) -0.4 (c) 0.5 (d) -5 (e) -12727\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33218*v**2 + 33218*v**2 + 33212*v**2 - 99646*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8804756 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 + 24*h + 100. Let l be o(-4). Calculate the greatest common divisor of 884 and l.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194945739?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1721403316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*(b\/(b\/b**15*b))\/b*b)*b)**(-3\/2) assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 1155 = -9425. Let g = a - -2523. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**8\/1120 + c**5\/15 - 2*c**4\/3 + 2*c. Let v(z) be the third derivative of i(z). Find the first derivative of v(r) wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2\/k**(-5))\/((k**(-1\/3)\/k)\/k*k)**(-1\/12) assuming k is positive.\nAnswer: k**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5264 and 1148?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -23*f + 1. Let n(a) = 364*a - 16. Let l(b) = -16*i(b) - n(b). Let p(j) = 340*j**2. Calculate l(p(s)).\nAnswer: 1360*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2279 - -5735. What is the greatest common divisor of u and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -9. Let l(i) be the second derivative of 5*i**4\/12 + i**3\/3 + 5*i**2\/2 - 2*i - 6. Let z(j) = j**2 + 1. Determine m*z(a) - l(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/171? (a) 0.5 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295075941 to the power of 1\/2, to the nearest integer?\nAnswer: 17178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123710.36 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 4*m - 3. Let t be v(-2). What are the prime factors of 371\/t + 2\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 285, 0, 5, 1, -11 in ascending order.\nAnswer: -11, 0, 1, 5, 285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223\/545 - 1\/109. What is the nearest to -2 in -1.7, c, 3\/5?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 6*j**2 - 3*j - 6. Calculate u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18737428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-77)\/(-14) + -4)*346\/(-3). Let w = x + 179. Calculate the smallest common multiple of 88 and w.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-5\/2)*u)\/u)\/u**(2\/11))\/(u**(2\/11)\/u*u*u**4\/u*u))**(-35) assuming u is positive.\nAnswer: u**(4515\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -352*x**4 - 13*x**3 + 24*x**2 + 1422*x.\nAnswer: -8448*x - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51001841, 51001842, 51001843?\n\"Answer: r + 51001840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 18. Suppose 3*i - 81 + f = 0. Suppose -3*n - o + i = 0, -5*o = -3*n - 5 + 57. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2260 - -218. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/40 + n**5\/120 - 5*n**4\/48 - n**3\/6 + 16*n**2. Factor r(w).\nAnswer: (w - 1)*(2*w + 1)*(3*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*i + 21*i + 24*i - 5*i + 21 wrt i?\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x + 6. Let u be p(5). Let z(i) = 8*i**2 + 252*i - 126. Let c be z(-32). Put c, -5, u, 7 in ascending order.\nAnswer: -5, u, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192318 and 1806777.\nAnswer: 68657526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00570906 to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1656\/49 - 53981\/1764. Calculate the common denominator of d and 29\/474.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28007\/6 - 4653. Calculate the common denominator of n and 47\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/80)\/(-8 - 39\/(-5))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (795 - 569)*(-1 + 300 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h - 3*y, -y = -3*h - 0*h + 14. Suppose 18 + 9 = q + h*p, 3*p = 5*q - 20. Solve 0 = -4*d - 1 - q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 7. Let a be i(6). Which is smaller: a or -28?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8476.221108 - -8604.22110749. Let v = -128 + o. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 5. Suppose -7*s - 2522 = -2557. Let k(x) = -x + 5. Determine s*k(n) + 4*a(n).\nAnswer: -n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:27 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 21*l**2 - 18*l + 89. Let v be m(-22). Solve -10*x + 9*x - v = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/5 - 4*a**4\/5 + 12*a**3\/5 + 8*a**2 + 38*a\/5 + 12\/5 = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7829977783 to the nearest integer?\nAnswer: 88487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b + 3*b)*(-15 + b - 16 + 178).\nAnswer: 2*b**2 + 294*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/3 + 6599896*n\/3 - 10889656802704\/3 = 0. What is n?\nAnswer: 3299948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 36 (b) 0.06 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326 + 8*m**3 + m**2 + 3629 - 329 - m**2 - 2974.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18599 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -886917?\nAnswer: -5\/886917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3481\/754 - 106\/29. Is 2 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3955 and 533134?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 - 4*t + 1. Let l be k(7). Calculate the remainder when ((-6)\/15)\/((-1)\/55) is divided by (6\/(-5))\/((-18)\/l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 14*l + 15*l = -18, 8*g + 13*l = -3*g - 234 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/102*27\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 963.4549nm?\nAnswer: 0.9634549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 34 (b) 1\/4 (c) 1\/2 (d) 1\/7 (e) -0.421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*s = -14, -n + 4*s + 8 = 9. Suppose -g = -4*g + 21. Solve n = c + g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 9:07 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -5) + 6594\/3 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12, -300, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 50. Let j(s) = -s - 51. Calculate -2*j(a) - 3*w(a).\nAnswer: -a - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - -105. Factor -u + 131 - 375*d - 31 + 935*d**2 - 605*d**3 - 31.\nAnswer: -5*(d - 1)*(11*d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2141684634 to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {e: 5, g: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0883733 weeks in milliseconds?\nAnswer: 53448171.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4 + 6 + 6*m + 25*m**2 + 8 - 4. Let r be j(-2). Suppose -v = -g + 22 - 119, -r = -v + 4*g. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5111846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h + 5*h - 3 - 2 - h with respect to h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 4*m**3\/3 - 12*m**2 - 160*m - 63. Factor k(v).\nAnswer: 4*(v - 10)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**6*w - 17*r**6 - 162*r**3*w - 33*r**2 - 39*r*w - 3*w wrt r?\nAnswer: 120*r**3*w - 2040*r**3 - 972*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429.83 + -137.18. What is r rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.543 - -3.539032. Round i to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 + 3.99. Let d = n - 1.69. Let w = d + -3.2. Round w to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2959 - 5*o + 7*o - 46*o**3 - 763 - 67*o**2 + 43*o**3 wrt o.\nAnswer: -9*o**2 - 134*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.3, -6\/5, -1.8?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22425140?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/10)\/(166\/(-4565))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 - 5*j**3 + 2*j**3)*(2*j - 8*j**2 + 11*j**2 - 5*j).\nAnswer: -15*j**5 + 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 - m**3 - 22*m + 11.\nAnswer: -m**3 - 22*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z - 4*z**2 - 2*z**2 + 5*z**2. Let c be f(8). Suppose c = w - 6*w. Solve -3*p = 2*b + 14, -16 = 4*b + 3*p - w*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 96359*t + 0 - 23302*t - 7.\nAnswer: -119661*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 - q**5 - q**5 + (-4*q**3 - 4 + 4)*(-q**2 - 4*q**2 + 7*q**2).\nAnswer: -6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153151 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2777 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-63))\/(1\/(-3)). Which is the nearest to 0.1? (a) -5\/3 (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196*n + 60744 = 2140 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m + 1. Let x(d) be the second derivative of -d**5\/120 + d**3\/2 + 6*d. Let p(t) be the second derivative of x(t). Determine h(p(b)).\nAnswer: 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2*s - 9*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 - 3*l - 5. Let t(g) = 9*g**2 + 5*g + 9. Let i(s) = 11*c(s) + 6*t(s). Let j = 153 - 157. Let w be 4*((-5 - j) + 0). What is i(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16088566 + 2552*g + 16088566.\nAnswer: 2552*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/9 - 8*g\/9 = 0. What is g?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 111338 = -125434. Suppose -5*y = -3*l - p, 0*l = 4*y - 3*l - 21047. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 6*a - 4*a)*(-86*a - 34*a - 106*a).\nAnswer: -1130*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -214, -215, -216, -217, -218, -219?\n\"Answer: -m - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 6:01 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3365 divided by 30\nAnswer: 673\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s + 1. Let a(h) = 2*h. Let z(t) = -13*a(t) - 6*m(t). What is the tens digit of z(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r - 15838 = 110102. Is (r\/6)\/(-4 - (-143)\/39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -7.2.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 4:04 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**5\/120 + g**4\/8 - g**3\/2 + 13*g. Let x(t) be the second derivative of z(t). Let u(p) = -2. Determine -4*u(o) - 3*x(o).\nAnswer: 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 10) in base 11?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19378 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-39))\/((-8)\/66)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0089 - -0.3089. Let i be (2\/10)\/(9\/(-2)). Sort w, i, 2\/19 in descending order.\nAnswer: w, 2\/19, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbqqzhbh. What is prob of picking 1 z and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -416538c1?\nAnswer: 416538c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/220 and (-192)\/336 - (-32)\/(-385)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 68 - 2*b - 8*b**2 + 38 + 37.\nAnswer: -8*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*3)\/(sqrt(432)*-2).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -651*r - 4563. Determine i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130593 is divided by 43530.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.239512 to 0 decimal places.\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a day in hours?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**2 - 7\/6*p**3 + 0 + 0*p - 1\/6*p**4. Is z(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**2. Let r(a) be the third derivative of -11*a**4\/8 + 7*a**3\/3 + 47*a**2 - 1. Let y(z) = -22*z + 10. Let l(t) = -5*r(t) + 7*y(t). Give l(i(c)).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -18*h + 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11420 (base 8) in base 2?\nAnswer: -1001100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 4*q + 6. Calculate f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 763\/5*k - 2499\/5 + 1\/5*k**3 - 13*k**2.\nAnswer: (k - 51)*(k - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/11 (b) -5 (c) -14 (d) -0.15 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 11. Let n(v) = -v + 4. Calculate -4*m(q) + 11*n(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5095 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 17)*(1 + 3 - 2 + 2*f) to the form c + m*f and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:44 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*u - 44 = 0, 3*g + 4*u = -u + 6. Which is smaller: g or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 3*k - 9. Let q be u(-6). Let v be (-1288)\/49 + (-6)\/(-21). What is the remainder when q*(v\/6 - -4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + (sqrt(432) + (sqrt(432)*3 - sqrt(432)) + 2)**2 + sqrt(363)*-3*2*1.\nAnswer: 78*sqrt(3) + 3883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.14022 and 976183.\nAnswer: 976183.14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 11*p - 6 + p**2 - 20*p - 3*p**2. Let u = 7 - 13. Let r be l(u). Solve d + r = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from bdb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/176 and -15\/64.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2062, -2138, -2270, -2464, -2726, -3062, -3478, -3980?\nAnswer: -4574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from {q: 4, o: 1, i: 10, j: 5}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**3 - 185*u**2 + 385*u - 195 = 0.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*u**4 - 1384391*u**2 + 1956449 wrt u.\nAnswer: 16*u**3 - 2768782*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 607*o + 30 - 85.\nAnswer: -607*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454185623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4939 by 1.\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0042 or 0.02?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 + 7*l**2 + 12*l - 6. Let b(r) = -19*r**3 - 42*r**2 - 73*r + 39. Let m(g) = -39*a(g) - 6*b(g). Find x such that m(x) = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgdxd. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 30, -276, -5, 2 in decreasing order.\nAnswer: 30, 2, -2, -3, -5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58694 + -27851. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7636*s - s**2 + 3819*s + 3820*s + 1398 to i*s + d + y*s**2 and give d.\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2598893558 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100010101100 + -10?\nAnswer: 11100010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:08 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30857.55 grams in milligrams?\nAnswer: 30857550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose 0 = -19*q + 11*q + 2184. Suppose 4*n = -y + 221, -5*n + 5*y - 3*y + q = i. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (8 - 2 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/42, -55\/25748?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/8)\/((-14)\/(-112))*1. Suppose 0*c + 5*c - 448 = -v*t, -4*t + 356 = 4*c. Calculate the highest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6883, 6698, 6513, 6328?\n\"Answer: -185*k + 7068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**3 + 1488 - 1438 - n**2)*(-4 + 3 - 1).\nAnswer: -2*n**3 + 2*n**2 - 100","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5668*h**3 - 2*h + 23 wrt h.\nAnswer: -34008*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 3, 4\/9, -18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5*y - 94*t**3*y - 44*t**2 + 7*y wrt t?\nAnswer: -60*t**2*y - 564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33\/10 + 5\/2. Let z = 1 - 1. Let g be 2*(-2)\/((-8)\/(-10)). Which is the nearest to z? (a) -2 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*u - 2*d + 24, -10 = -u + 4*d. Let b(s) = 8*s + 5. Let w be (-4)\/(2*-2)*1. Let t(x) = x + 1. Give u*t(i) + w*b(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -17. Let h = -10 + u. Differentiate -20*i**2 + 15*i**2 - h - 7 with respect to i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38023168.\nAnswer: 2, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:13 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 25. Let l be m(-12). Let v = -33 - l. Suppose 5*r + 8 - 33 = 0. Solve 5*k + i - 20 = 0, v*i - 10 = -5*k - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 3 - -1)*0. Let l be (56 + g)\/(7 + -6). Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j - 676 = 21*j + 50*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 370327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67905 divided by -27.\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**3 + 9645*b - 9641*b - 16*b**2 - 1 - b**3 as h*b**2 + c*b**3 + g*b + i and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 23*p**2 + 13*p - 8. Let x be s(12). What is the second derivative of 6*u**x + 4*u + 49*u**2 - 91*u**2 - 28*u + 51*u**2 wrt u?\nAnswer: 72*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -1108110929909.\nAnswer: -1108110929910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/12380 and 71\/30950.\nAnswer: 61900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1638)\/455*(-12)\/9)\/((-4)\/10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 6:51 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 7. Suppose -60 = -c*s + 3*s. What is the least common multiple of 20 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -45. Let n be 1 - -1*a - 1. Let r = 80 - n. What is the greatest common divisor of r and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*n - 409167 + 405387 = 0 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 13*s**2 + 2*s - 2. Calculate w(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 1. Let h = -178 + 206. Suppose 16*i + 48 = h*i. Determine d(i).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkakfpea. What is prob of picking 1 a, 1 p, 1 e, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as 86.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0.3 (c) 0 (d) -68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 5, -1, -160, -0.1, -0.051, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 269714, 540410, 811108, 1081808, 1352510, 1623214?\n\"Answer: h**2 + 270693*h - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 13. Let d be a(-15). Suppose d*c + 5*u = c + 2308, 4*c = -4*u + 9312. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**2 + 5*m - m**2 - 9 + 6 + 2. Let c(y) = -4*y**2 + 3*y - 1. Give -5*c(f) + 3*g(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (681 - 1 + 106 + 94)*(-2 + 2 - 2*g**5).\nAnswer: -1760*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.28 + -0.28. Let n = 647 + -647.07. Which is the third smallest value? (a) -2 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 61 = -3*y, -y + v - 8 - 7 = 0. Let z be 3*-1 - (1 - 1). Suppose 2 = -3*x + 2*n, -2*x - 2 = -4*x + 3*n. Sort y, x, z in increasing order.\nAnswer: y, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219161 by -4663.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -154280000 rounded to the nearest 1000000?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 + 1070*h. Let b(s) = 205*s - 2. Calculate b(j(n)).\nAnswer: 205*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12520319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, t: 6}. Give prob of picking 3 p.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + n - 46 = -5*q, -n = -q + 8. Let v = -7 + q. Suppose -3*s - v*s + 105 = 0. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 7. Let c be m(3). Let g be c\/(-7)*(-14)\/(-12). What is x in 4\/3 - g*x**2 - 2\/3*x = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -0.0193.\nAnswer: 27.0193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 3544335.\nAnswer: 49620690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-24)*-4*(-344)\/(-10). Suppose -560 = -3*z - m. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 + 39*l + 10. What is the units digit of g(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgkj when four letters picked without replacement from {g: 3, e: 3, k: 2, f: 1, j: 1, b: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 13) to base 8\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 13*k**2. Let o(r) = -752774*r. Determine o(q(g)).\nAnswer: -9786062*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10022011121 (base 3) to base 13.\nAnswer: 23785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 - -54 - -76) + (13 - 9) + -8.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (0 + -1 + -6 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11723 + 234407\/20. Calculate the common denominator of 792\/(-96)*(-4)\/(-54) and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjkhrhrnhhjrhjjjk. What is prob of sequence kkj?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 19. Let w be m(4). Suppose -35 - w = -11*d. Calculate the lowest common multiple of 68 and (-8)\/d*(22 - 1)\/(-7).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 82. Let k = 477 + -274. Let i = x + k. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y. Let k(r) = -2*r**2 + 8*r - 1253. Calculate k(c(i)).\nAnswer: -8*i**2 - 16*i - 1253","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 857810167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697886?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 4*m**2 - 6*m + 1. Let w be n(5). Let i = -4 - w. Suppose 4*g = -5*z + 38, 4*g + 940*z - 2 = 941*z. Solve 3*h - g*h = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1 + 47 - 4*t - 9 + 0*t. Let o(u) = -u - 46 + 4*u + 20. Let b(c) = 8*o(c) + 5*z(c). Find the first derivative of b(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(-5)*y*y*y*(y*(y*y\/(y\/((((y\/(y**5\/y*y))\/y*y)\/y)\/y)))\/y*y)\/y*y*(y*y**14)\/y**13 assuming y is positive.\nAnswer: y**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132403 (base 6) to base 5.\nAnswer: 342433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 6:57 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/15 + -11\/30. Which is the closest to 0.2? (a) -3 (b) -0.05 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let a be x(-3). Let s(n) = n**2 - 6*n - 2. What is the tens digit of s(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - -3)*-2*1085\/62. Let h be (-2)\/(j\/10 + -5). Let n = -1\/499 - 331\/83832. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h + 421. What is the remainder when 50 is divided by i(-28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 463 + 282. Suppose 2*f + 59 - w = 0. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 446 - 449. Let j = 0.7 + 2.3. Which is the closest to 2? (a) z (b) -3\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 - l. Let w(h) = -3*h**3 + 11*h**2 - 2*h + 2. Let u(q) = -w(q) + 2*y(q). What is u(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by (-9)\/6*280\/(-42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 4*m + 287. Let c = m - -38. Solve 2*z = -3*z - c*h - 40, -2*z - 4*h = 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/49 - 41\/98. Which is the nearest to h? (a) -2\/9 (b) -0.4 (c) -4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-10)*(-33)\/55. Let b = -5 - -3. Put 4\/5, z, 2\/9, b in decreasing order.\nAnswer: z, 4\/5, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41806, -83615, -125420, -167221, -209018, -250811, -292600?\nAnswer: -334385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) -16 (c) -3344.253\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + 15. Suppose x - 42 = -x + 3*i, 5*x = -3*i + g. Let k be 126\/x + (1 - 14\/10). Solve c + k = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1356 and 209091132.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223 - -211. Suppose f = 4*j - 1193, 0 = 3*j - 4*f - d - 464. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -43*w**2. Suppose 35 = 5*h - 5*u, -8*h + 3*h + 4*u = -31. Let k(a) = a - 6*a + 0*a + h*a. What is k(x(m))?\nAnswer: 86*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -326 - -279. Is -47 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 + 14*q + 13. Calculate w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = 2*i + 13, 3*y = 12. Is -4\/87 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 47*n = -511. Put 5, -13, n, 1 in increasing order.\nAnswer: -13, 1, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1398349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/88)\/(96\/528)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 58*k - 39*k - 15 + 51*k + 4. What is the units digit of b(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - 70*h + 68*h - 7*h**2 in the form x*h + b*h**2 + i and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = 4*q + 21, 4*q + 4*h = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -15740*j + 110168. Determine o(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129919679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 10:35 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -26. Solve -t - 7 = -d*j, j - 4 = -1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/13391 + 13361\/200865. Let b(r) be the third derivative of -24*r**2 + 0 + 1\/6*r**4 + g*r**5 - 4\/3*r**3 + 0*r. Factor b(w).\nAnswer: 4*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/40164?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d**2 - 5064826*d + 5064826*d.\nAnswer: -88*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1527393 - 4175026. Let y = r + 4687633. Suppose g - y = -g. Round g to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 2*o. Let x(p) = 2*p**3 + 4*p**2 - 14*p + 2. Let s(z) = x(z) + 6*y(z). Suppose s(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 8*r**2 - 5*r + 18. Let g be l(7). Suppose 2*p + 5*m + 12 = p, 0 = -p + 3*m + 20. What is the highest common factor of p and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 = -x + 7*k + 598, 2*x - 2*k - 28 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:10 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g + 4. Suppose 6*h - g*h = -8, 5*c + 5*h - 60 = 0. What is the remainder when c is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by 148.\nAnswer: -39\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*a**3*c + 63368*a**3 + 12*a**2*c - 19*a*c wrt c?\nAnswer: 10*a**3 + 12*a**2 - 19*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l + 15. Let w(y) = y + 1. Let g(b) = 3*i(b) - 15*w(b). Let n(a) = 2*a. Determine g(n(c)).\nAnswer: -12*c + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19871.214 months to millennia.\nAnswer: 1.6559345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 35*x**2 + 137*x + 167. Calculate z(-38).\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355 = 12*z + 319 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 19.4 and -18183927242.\nAnswer: -18183927222.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*t = -2*g + 39*t - 1588, -2*t - 291 = 3*g - 309 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 543 divided by -1232\nAnswer: -543\/1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3274, 25179 in increasing order.\nAnswer: 2, 3274, 25179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -14. Solve -6*x + s = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 4, 6, 106, 21, -4.\nAnswer: -50, -4, 4, 6, 21, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7272 - 7275. Let q = -4 - -7. Let c = -61 + 60. What is the closest to c in i, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -119*u**2 + 6*u + 14. Let r(w) = -237*w**2 + 13*w + 34. Give 5*k(n) - 2*r(n).\nAnswer: -121*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 9*z + 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1483 (b) -0.01 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26110.13511 to the nearest 100.\nAnswer: -26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/7 - 100*b**4\/7 - 216*b**3 - 1316*b**2 - 2842*b.\nAnswer: -2*b*(b + 7)**3*(b + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/f**(-4\/3)*f**(1\/6)*f**(-2)*(f**(5\/3)*f)\/f assuming f is positive.\nAnswer: f**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -111001001 (base 2) to base 13\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + 4 - 67 - (-8 + (-9 - -9))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = -3*z - 0*z, 5*z = -2*k - 13. What is the greatest common divisor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:51 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2 - 21*l + 4 + 24*l. Give j(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113 and 1017?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331368302.\nAnswer: 2, 2777, 59663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2 = -3*r. Solve z = r*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1014331?\nAnswer: 1014340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 1. Let d(h) = 11*h + 3. Let f(v) = 3*d(v) - 8*z(v). Let x(j) = j**3 + 4*j**2 + 3*j + 6. Let s be x(-4). Determine f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 83*r + 43. Let c be j(41). Solve 5*u + 6 = 4*t + 4*u, -4*t - c*u = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 374 divide 61947116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:06 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4 = -0*z, -4*r + 3*z + 6084 = 0. List the prime factors of r.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.031, 1\/9, 3\/2, -13\/3?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-10))\/1)\/((-52)\/(-104)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19718.96763 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 16*m**2 + 18*m - 36. Calculate the smallest common multiple of 51 and z(15).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + d + 13, 7*m - 4*m - 8 = 2*d. Let q = m - 5. Suppose -q = 3*n - 43. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57745 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0743 and 3.\nAnswer: -0.2229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 335424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 70*r**2 + 496*r + 857. Determine g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 456481.1l?\nAnswer: 456481100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 110 = -0*f + 2*f, 3*l = 4*f + 70. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -655099, -1310190, -1965281, -2620372?\nAnswer: -3275463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d + 3. Let h be (-1 - 5\/(-1))\/(-2). Let n be g(h). Solve -21 = -5*o - 2*b - 0*b, -4*o - 5*b = -n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -234*q - 47. Let t(g) = -235*g - 35. Determine 3*n(w) - 4*t(w).\nAnswer: 238*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = r - 35. Let l be (-7 - -22)*(-3)\/((-18)\/(-4)). Let x = r + l. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 24*n**3 - 54*n**2 - 80*n.\nAnswer: -2*n*(n - 8)*(n - 5)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117216 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -18, -13, 4, 39, 98, 187, 312?\n\"Answer: z**3 - 3*z**2 + z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -0*u + 630. What are the prime factors of (-8160)\/u + 4\/14?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18742 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 12*y - 3*o, 24*o = -2*y + 28*o - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51 - -51. Suppose z = -r - 0 + 2. Solve 0 = f - r - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1193 - 602 - 3*q - 599. Let y be l(18). Which is greater: y or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - 2 - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*n - 0*n. Let b = -4 - -3. Let x = -3 - b. What is the third biggest value in -1\/3, n, x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(5\/(-20)*18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 5, -4, -17?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000293869 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f + 1 - 1 - 10*f.\nAnswer: 86*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s\/(s\/s**(-3\/4)))**(4\/25) assuming s is positive.\nAnswer: s**(-19\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + sqrt(209) + 4*sqrt(209)*-2)\/sqrt(11).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.5, 0.08 in ascending order.\nAnswer: -1\/5, 0.08, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 10. Let w be l(-9). Let d(a) = -2*a + 6 - a + 2*a + w. What is the units digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079924614 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-60676)\/(-42) + (-11)\/3 + 2. Suppose -v = -10*x - 143. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/27)\/(2\/726)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(39)\/sqrt(3) + -3.\nAnswer: -6*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 + -4 - (-68 + 50)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*l + 11 = -76*l + 5*k, 4*l - 5*k = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = x + 12, -2*b + 6*x - x = -21. Let c be (-74)\/(-8) - b\/(-4). Calculate the greatest common factor of c and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.8, 664\/3, 0, 3, -0.3 in increasing order.\nAnswer: -5, -0.8, -0.3, 0, 3, 664\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/(-8))\/(-1*105\/70)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16343 - -223?\nAnswer: -16120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52*w**2 - 17*w**2 - 23*w**2)*(-29 + 64 + 79)*(2*w - w - 3*w) as z*w + j + t*w**2 + c*w**3 and give c.\nAnswer: 20976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 74 + (1 + 1 - 10).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -208, -477, -854?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*a, -37*k + 42*k + 13*a + 12*a - 25*a - 32 = -4*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171048 and 18401914?\nAnswer: 220822968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) -11490 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(24 + 6)*(-58 - -49)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/417, -17, -2\/3, 4\/5, 87?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3688683.\nAnswer: 3, 1229561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 26. Let y be u(13). Let t = 90 - 82. Suppose y = -7*s - s - t*s. Solve 2*j + 3*j - 15 = s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 301*w - 11. Calculate the remainder when l(1) is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4547 divided by 16\nAnswer: 4547\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 0.6.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 332, 332, 330, 326, 320?\n\"Answer: -m**2 + 3*m + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*u**12 assuming u is positive.\nAnswer: u**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:14 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 + 7*t + 9. Let b be h(-6). Suppose -12 = -3*w - b. Solve 5*a - 7*g + 3*g - 33 = 0, w*a - 17 = g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 51*y = -160 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6049859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*w + 73 + 2, 4*o = 3*w - 60. Let k(z) = -4*z - 12. List the prime factors of k(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3620*v - 15 = -3623*v - 5*f, v - 5 = 4*f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Suppose -g + d = -0. Solve -3*c + 4*z = -29, -4*c + g*z = -3*c - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - g**2 + 11*g - 25. What are the prime factors of o(6)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j. Let f(z) = 2*z**2 + z - 5922. Determine f(t(x)).\nAnswer: 18*x**2 + 3*x - 5922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -37 + 23 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 68 - 52. Let m = p + 85. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 3*x + 52 = 0, -3*x = -5*h + 260. What is the remainder when h is divided by 71\/4 - 2\/(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z)*(-2*z**2 - 2*z**2 + 2*z**2) - 1502*z**3 - 5591*z**3 + 592*z**3.\nAnswer: -6497*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/(-10) + 24\/(-40). Suppose u*j + t + 2*t = 212, -2*t + 216 = 4*j. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2 - 33688*h - 22994727 = 0. Calculate h.\nAnswer: -32991, -697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4648 + 13328. Calculate the highest common factor of u and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1426632 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 3838 = 2*x - 3840, -20 = -4*x + 2*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19462.564 and 11851.\nAnswer: 31313.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 32*j + 7*j. Suppose y - j - 12 = 2*p, 0 = p + 4. Solve -4*i + t + 15 = 0, -3*t + 0*t = y for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61501.17 - 61146. Let p = 355 - g. Sort -3, p, -2.\nAnswer: -3, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 28*d**3\/3 + 9*d**2\/2 - 22*d + 9. What is the tens digit of z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 906 is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 323\/(-663) - (-19)\/57?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -558.8, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 916 and 30950266.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 267333877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543550 is divided by 1448.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/497, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33251*j + 49358 wrt j.\nAnswer: 33251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68\/7 in 0.7, -2, 2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 + -64. Calculate the least common multiple of 3 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9 - o + 1 + 4*o + 3. Let u(z) = 9*z - 14. What is -8*a(q) + 3*u(q)?\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.2, 2\/9, -95 in increasing order.\nAnswer: -95, -0.3, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = 4*l + 4*f, -3*l = 2*f - 7. Put 5, -2, l in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + j**3 + 28 - 1 - j**3 + j**3. Let o be s(0). Suppose 4*p + 5*c = o + 10, c = p - 7. Calculate the smallest common multiple of 3 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.33 and 1092.01.\nAnswer: 360.3633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 52.8. What is the smallest value in y, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:03 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10052, 19823, 29582, 39323, 49040?\n\"Answer: -c**3 + 9778*c + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336 - -362. Calculate the highest common divisor of 364 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 400 and 25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**3 + 2*c**3 + 0*c**3 + (-2 + 1 + 2)*(c**3 + c**3 - 4*c**3) + 0 - 5 - 2 - 2*c**3 to the form s*c**3 + w + d*c**2 + i*c and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618230 and 52750?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43524521 and -13703.8.\nAnswer: -43538224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 146*o - 142. What is r(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -272? (a) -2\/7 (b) 0.8 (c) 2 (d) -10\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, g: 2, t: 5, u: 4}. Give prob of picking 4 t.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4782563\/154 + -31055. Find the common denominator of u and -77\/4.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, -6 in descending order.\nAnswer: -3, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5180 - 11?\nAnswer: -5191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359876 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*(sqrt(190) - -1*sqrt(190)))\/((sqrt(90) + sqrt(90)*-1)\/sqrt(9) + (sqrt(60)*-2)\/sqrt(6)))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2728146 - 53*b**3 + 0*b**4 + 4*b**2 + 2729312 - 18*b**5 - 2*b**4 wrt b?\nAnswer: -1080*b**2 - 48*b - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2 - z + 1. Let i be o(2). Solve -4*v - 1 = i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 214*n - 852. Let r be x(-4). Suppose 4*z = -7 - 5. Let d(q) = 6*q + 2. Let g be d(z). Is r < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14720 and 749984.\nAnswer: 14999680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, b: 2, o: 8}. Give prob of sequence kbb.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183785557 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 4*j)*(0 - 18 + 1)*(56*j**2 - 22*j**4 - 56*j**2).\nAnswer: 1496*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 21*b + 88. Let x be k(-4). Suppose -x*o - 3914 = -5*q - 0*o, q + 2*o = 794. List the prime factors of q.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggaaaxfxaxxpgx. What is prob of sequence ggpa?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from jrrjrrrrojj.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3\/19 + 4638*a**2\/19 - 1343280*a\/19 - 672800\/19 = 0 for a.\nAnswer: -1\/2, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 188825.\nAnswer: 75530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 730, 1460, 2182, 2896, 3602, 4300, 4990?\nAnswer: 5672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86402 and 22.\nAnswer: 950422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 447*n + 3844. Calculate d(-9).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 443992 or 3107935\/7?\nAnswer: 3107935\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*t + 43*t = -2570211. What is the highest common divisor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/17 + 582158*b\/17 = 0.\nAnswer: 0, 291079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 8*t**2 - 13*t - 37. Let s be a(-9). Let f be (-2 - (2 + -2))*-2. What is the second biggest value in -1\/2, s, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*m - 13 = 0, -2*o = 3*o - 4*m - 10. Let q be (-3)\/5 + 2\/((-100)\/(-130)). Sort o, -3, 4, q.\nAnswer: -3, o, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 + 11*k**2)*(3*k**2 - 2*k - 10*k + 14*k + k) as s*k**4 + g*k**3 + z*k**2 + h + x*k and give g.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114 + 120. Let d be f*2\/(-3) - (-5 - -1). Let u be 24\/(-28)*2\/(-3). What is the third smallest value in u, d, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32939035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1b4774 (base 14) to base 10\nAnswer: 972850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 6*f**2 + 4*f - 6. Let d be (-1829)\/186 - 1\/6. Let c be ((-19)\/(-38))\/((-1)\/d). Give h(c).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -2 + 1 - 1 - 12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2884 divide 1021802820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 531648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322834.\nAnswer: 2, 31, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 2*x - 3. Let b(w) = w + 5. Let l be b(-3). What is the greatest common divisor of x and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -8, -49\/4, -166, 0, -2\/9, 2\/47?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - h + 4)*(-9*h**2 + 24963*h + 10*h**2 - 25110*h) as n*h**3 + b*h + g*h**2 + o and give g.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**5\/7 + 1136*p**4\/7 - 10042*p**3\/7 - 11180*p**2\/7 = 0?\nAnswer: -1, 0, 10, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + m - 1. Let i(v) = v**3 + 6*v**2 - 9*v - 10. Let r be i(-7). Suppose 10 = -9*n + r*n. What is u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 194371930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86700, 86697, 86694, 86691, 86688?\n\"Answer: -3*k + 86703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.6 and 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17175 divided by 3.\nAnswer: -5725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:56 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o - n + 16, n = 4*o - 16. Let 5*v**2 + 4*v**3 + 161 - v**2 - 165 - o*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*s + 0*s - 4*s)*(8 - 5 + 2) + (0 + 6 - 4)*(s - 1 + 1))*(s - 2*s - 2*s + (4 - 4 + 2*s)*(2 + 0 + 2)).\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 1)*(86*f - 84*f + 102*f).\nAnswer: -312*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 3)*(-36)\/(-27). Let z be (-140)\/21*(-39)\/i. Suppose 12*g - z - 7 = 0. Solve -g*n = -n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 137 = 3*c + 16, 4*w - 3*c = 103. Calculate the greatest common divisor of w and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffeoecckvefecoceefe. What is prob of picking 2 o and 2 c?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - c - 1. Suppose 0 = 2*f - 4*v + 20, -f - 515*v + 519*v - 18 = 0. Let q(u) = -u**3 - 3*u**2 - 2*u - 2. Calculate f*q(n) + 3*h(n).\nAnswer: 2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*u**2 + 45\/4*u - 10.\nAnswer: -5*(u - 8)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021634 to six dps.\nAnswer: -0.000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-63)*12\/22. Let s = 0.558 + -0.058. Put s, u, -2\/9 in descending order.\nAnswer: s, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02649 + -0.3.\nAnswer: -0.27351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:35 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3527 is divided by 501.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 12. Let j(k) = -4*k**2 + 6*k - 3. Let o(f) = -4*f**2 + 5*f - 3. Let x(v) = p*o(v) + 5*j(v). Differentiate x(t) with respect to t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 10:13 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225 + -1567\/7. Which is bigger: r or 0.02?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764229.\nAnswer: 3, 269, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34966381 rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7770 = -5*a + 5*j, 0 = 8*a - 3*a - j - 7754. Suppose 0 = -13*u + 8*u + a. What is the greatest common divisor of u and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 7}. Give prob of picking 4 y.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 5*s - 12. Let r be t(5). Let f(i) = -i**2 - 14*i - 23. Let l be f(r). Solve 2 = -3*j - l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - 403. Let b = -27.68 - -22.8. Let d = -0.12 + b. What is the closest to 0 in c, 1\/5, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70965985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*b + 27175 - 27243 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-75)*3 + (-66)\/(-10). Suppose -17 = -i*l + 25. Suppose 0 = -2*h + 13 + 23. Calculate the lowest common multiple of l and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 19 + 56251*j - 56222*j in the form z + g*j and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5)\/b*((b\/(b*b\/b**(-8)*b))\/b)\/b)**(-1\/18) assuming b is positive.\nAnswer: b**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/11 - 18\/55. Let w = 2.6 - 3. Sort i, w, -0.5.\nAnswer: i, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-1599*78\/(-27378).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47660010 divided by -9532002?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 3:10 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 23. Let k be y(20). Let o(b) = -b - 4. What is o(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 6*r - 8*r. Let a(m) be the second derivative of 2*m**3\/3 - m. Calculate y(a(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (-1416)\/(-60) + 759\/110?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*x = 2*c - 11, -x = -4*c + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxu. Give prob of picking 1 x and 1 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/3)\/15*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366509*s**3 - 14596 with respect to s.\nAnswer: 1099527*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000784776607 rounded to six decimal places?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3306792*m + 3306788*m = -15*v - 123, -2*v + 3*m = 46 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 0*h**2 + 1\/6*h**3 + h. Let b be k(3). Sort -1, b, 2 in descending order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -29.4?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -1447?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*u**3 - 3*u**2 + 2*u**2 + 63*u + 0*u**3 wrt u.\nAnswer: 54*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - 6) + (17 - 14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a factor of 541083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077044 rounded to four dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -1\/5 (b) -0.05 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28717 - -28717. Sort 2.4, y, 3, -0.5, 0.4.\nAnswer: -0.5, y, 0.4, 2.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3827860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -22, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Solve -d*q - 2 = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024552 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h**3 - 6*h + 6. Suppose 16*g - 84 = 2*g. Let r(v) = 100*v**3 + 55*v - 55. Give g*r(w) + 55*f(w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -83*t - 846*t**2 + 83*t - 149*t**2. Let m(v) = v**2. What is u(m(f))?\nAnswer: -995*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 5. Suppose -p*b + 12 = -18. Calculate the remainder when 4 + 90\/(-23) - 4392\/(-276) is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1928, 2399, 3204, 4511, 6488?\n\"Answer: 28*i**3 - i**2 + 278*i + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s = 11*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1142 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**4 + 12 - 5967362*k**3 + 5967360*k**3 - 3*k**4 + 57*k as v + y*k**2 + a*k**4 + g*k + o*k**3 and give g.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 19\/59 (c) 49\/10 (d) 0.2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11898 + -3791. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 7*w**3 - w**3)*(0*w**2 - 2*w**2 + 0*w**2) + (-w**4 + 2*w**2 - 2*w**2)*(w - 4*w + 2*w).\nAnswer: -7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767\/(-19)*(-200)\/(-300)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 313754383.9999718 + -313754484. Let r = 99.763 - -0.237. Let t = m + r. Round t to six decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmyuyxur. Give prob of sequence mry.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 4:05 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -p**11\/498960 + p**10\/113400 - p**9\/90720 + p**5\/20 - p**2. Let s(v) be the third derivative of x(v). Factor s(q).\nAnswer: -2*q**3*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1051*-0.2353\nAnswer: 247.3003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 6:13 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 38?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + 6. Suppose -89 = -5*t + p*r + 13, r - 14 = -t. Calculate the remainder when 68 is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*n + 1, 0 = -3*r - 1 + 4. Suppose n = -4*s + 79 - 95. Let v(y) = y**3 + 4*y**2 - 5*y - 3. Give v(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -3133047.\nAnswer: -3133052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(2744\/105)*(3 - (-13)\/(-3)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143, -165, -187, -209, -231, -253?\n\"Answer: -22*h - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22591*-0.39\nAnswer: -8810.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let m = -40 - -61. Let w(f) = f + 21 - m. Determine h(w(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -183?\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(931) + sqrt(931) + 0)*-6 - sqrt(931)) + 1 + sqrt(931) + -1)**2 + -2.\nAnswer: 134062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 3 - -3)\/((-6)\/(-87)). Let r(p) = p**3 + 8*p**2 - p - 7. Let x be r(-6). Let i = -42 + x. Calculate the greatest common factor of i and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 1 f when three letters picked without replacement from {f: 1, n: 2, j: 1, x: 1, i: 2, b: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -5*x**8\/336 + 9*x**7\/70 - x**4\/8 + 14*x**3 - 2*x**2 + 2. What is the second derivative of y(m) wrt m?\nAnswer: -100*m**3 + 324*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.08. Let m = -0.09 - r. Let u = -500 + 498. What is the biggest value in u, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.0411.\nAnswer: 0.00411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 420 = -5*m, -46*g = -45*g - 4*m - 109. What is the remainder when g is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-6)*f**(1\/7))\/(f**3*f**(3\/7)*f)*(f*f\/f**(-1\/6))\/f**4*(f**1)**(10\/11) assuming f is positive.\nAnswer: f**(-4717\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((8 - 13)\/(-25))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/(b*b*b\/b**(-4)))\/b)\/b))**(-1\/18)*b**1\/b*b**(-16))**(-6) assuming b is positive.\nAnswer: b**99","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*-3*sqrt(121)*-5)\/(4*sqrt(891) + (sqrt(55)\/(-2*sqrt(5)) - sqrt(11))).\nAnswer: -100*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1.4 (b) -2\/15 (c) 0.1 (d) 35.8 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6)\/(-49*44\/(-2024))?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 15) to base 11.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/(-76) + (-15)\/(-92). Suppose 2*g = -2*g - 16. Which is the second smallest value? (a) r (b) -0.1 (c) 1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(-90)*10\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 215790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {c: 9, k: 4, m: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 51202608?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jejj when four letters picked without replacement from jjjjjjejejjjjjjjjjj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6435 by -143.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 12. Let z be u\/15*45\/(-6). Let y = -7 - -6.6. What is the closest to 0 in z, -3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6852 divided by 6852?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -4.8?\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -8*i**2. Let v = -60 + 62. Let j(x) = 0*x - v*x - x + 2*x. Give j(h(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.137 times -4\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11482909?\nAnswer: 11482909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 0.0017, -4, 1\/2, -5.\nAnswer: -5, -4, -2, 0.0017, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/3 - 537059950*k**3\/3 - 16024077156660144*k**2 - 478104995350625854932864*k + 478105011374703190612992 = 0.\nAnswer: -89509992, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3233 is divided by 1026.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2368 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-216)*9\/(225\/200)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19469683 is divided by 1789.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 12:32 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*l - 3*n, 4*n = -9*l + 4*l - 76. Let c be 16\/56 + l\/(-7). Solve -g = c*x - 1, 0*x + 2*x = 2*g + 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103325 divided by 5\nAnswer: 20665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let t be -4 + 10 + 10\/(-5). Solve -t*w = -z - 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 5*z + 7. Let h(w) = 0 + 3*w**2 + 6 + 3*w - 2. Suppose 4*d - 2 + 18 = 0. Determine d*x(r) + 7*h(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 3, g: 3}. What is prob of sequence mm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6164 + -6184. Let z(m) = 3*m + 38. Calculate z(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3802476 times -0.2?\nAnswer: 760495.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzh. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -26452.17?\nAnswer: -79356.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 - 178 = -4*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 + 88*j - 32. Let g be l(28). Let w be 6\/10 + 6*1752\/g. Are w and 134 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u. Let w(t) = 4*t. Let l(r) = -2*a(r) - 3*w(r). Let j(q) = -18*q**2. What is j(l(y))?\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9880921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - (-136)\/(-8)) + (432\/28 - 5). Factor -60\/7*o - 48\/7 - 24\/7*o**2 - p*o**3.\nAnswer: -3*(o + 2)**2*(o + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)*v)\/v)**(-2\/21)\/(v*v*v\/v**2*v*v**(-1)\/v)*(v**(-5\/7)\/(v*v**(1\/2)\/v))**(-17) assuming v is positive.\nAnswer: v**(2609\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8095.344+3\nAnswer: -8092.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1411 - 1404. Let f(m) be the first derivative of -m**4\/4 + 2*m**3 + 3*m**2 + 4*m - 1. Determine f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - v**2 - v + 2. Let k be o(-2). Suppose -l + k = 2*l. Calculate the lowest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -1\/6, -151, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -10262\nAnswer: -5\/10262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/((-232)\/(-76) - 3). Suppose 16 = 5*a - i. What is the least common multiple of 3 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45382 is divided by 161?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36395217, -36395201, -36395185, -36395169, -36395153, -36395137?\nAnswer: -36395121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 5*m**2 + 5*m**2 - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 116 = 51. Solve -l = -6*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*s + 9188, -f + 9*s = 7*s - 4589. Calculate the highest common factor of f and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*k - 4*k = -72, -4*m - 3*k + 96 = 0. What is the remainder when 93 is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bhpbf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -57 times -34\nAnswer: 1938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 3:23 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 356.9 and -8.\nAnswer: -2855.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -f7 (base 16) in base 3?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)\/f)**(2\/69)\/(f**5*f\/(f*f**5))*(f**(-7)\/f**(-3))\/(f**(-2\/5)\/f*f*f\/f**(2\/13)) assuming f is positive.\nAnswer: f**(-289\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 31*r**4\/3 - 39*r**3\/2 - 5*r + 9. Find the second derivative of k(d) wrt d.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 7. Put z, 0.5, -4 in decreasing order.\nAnswer: 0.5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*v*v**(-4\/5)*v\/(v**(-2\/3)\/v)*v*v**(-4\/3) assuming v is positive.\nAnswer: v**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -27*i - 111. Let r be n(-4). Let y(a) = 2*a + 8. Let q(g) = 8. Let z(b) = r*y(b) + 2*q(b). Give z(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 - -10000440?\nAnswer: 10000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566134.85 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of 0*r**3 - 1\/30*r**5 - r + 0*r**4 + r**2 + 0. Let s(g) be the first derivative of h(g). Let v(q) = -q. Calculate s(v(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42996124 and 66868?\nAnswer: 42996124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -63339\/55 - -5759\/5. Let h = -42 - -293\/7. Sort 1.8, d, 0, h in decreasing order.\nAnswer: 1.8, d, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h**4)*(4*h + h - 4*h) + (1 + 1 - 1)*(-1 - h + h - 2*h)*(2*h**4 + h**4 + 2*h**4).\nAnswer: -11*h**5 - 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5998994748.\nAnswer: 2, 3, 17, 617, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*o + 3*g, 4*o - 1 - 7 = 4*g. Suppose -o*a + 38 = -122. Calculate the common denominator of a\/84 + (21\/6)\/7 and 59\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125.5 - -191.5. Let j = 65.9 - d. Let r = -1.2 - -0.2. What is the smallest value in 3, j, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, t: 3}. What is prob of sequence et?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12 - 30\/56)*-14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**5 + x**2 + 1. Let s(n) = -n**4 - 1302*n**5 + 6 + 0 + 1295*n**5 + 6*n**2. Let g(a) = 6*j(a) - s(a). Factor g(l).\nAnswer: l**4*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - a - 62 = 0, -1192*a + 1204*a = -24 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*p + 5 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.79 and 47.\nAnswer: 43.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 48. Let p be 62\/24 + u\/(-32) - 3. Which is the closest to 0.1? (a) p (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 + r + 7. Let z = 10 - 7. Calculate the remainder when z is divided by q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + r = -44*r + 10471. Calculate the greatest common factor of r and 35941.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-24)*693\/1155?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*l - 59*l - 1020 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = r - 2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let k = -187 + 297. Suppose 0 = 12*v - v - k. Let o(c) = -v*c - 7*c + c + 0*c. Determine i(o(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + (-520)\/1300*15\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.33 + -0.53. Sort -3\/2, u, -15, 5\/2 in descending order.\nAnswer: 5\/2, u, -3\/2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p - 2*p - 1 + 13*p - 23 as f + q*p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 2, v: 1, u: 3}. What is prob of sequence uueu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-223)\/128225)\/(4256\/6195 + 2\/(-3)) and 113\/2346?\nAnswer: 11730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(27) + 3)**2.\nAnswer: 48*sqrt(3) + 91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 542824 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*z - 15*z + 2*z**2 - 33*z - z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/(819\/(-462)) - 17. Solve -5*z - 5 = -v*n, -3*n + 12*z - 10*z = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-1 - 0 - -10). What is the lowest common multiple of 44 and 2\/v + 6*(-642)\/(-162)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**4 + 42*y**3 - 4*y**2 + 454*y - 449. Let o(a) = 2*a**4 + 17*a**3 - 2*a**2 + 151*a - 150. Let v(n) = -3*i(n) + 8*o(n). Find c such that v(c) = 0.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 11, -159, -471, -967, -1689?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:52 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19337 by 61.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1148*p**3 + 1148*p**3 - 5*p**5.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41298 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213444513 (base 6) to base 13.\nAnswer: a38192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8375.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23101 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -40*m + 10. Let i(z) = 13*z - 3. What is -14*i(a) - 4*r(a)?\nAnswer: -22*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.5679cm in kilometers?\nAnswer: 0.005165679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r. Let q(l) = -1400*l + 55. Let a(w) = -158*w + 6. Let g(d) = -55*a(d) + 6*q(d). Give g(k(n)).\nAnswer: -1160*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*g - 16*g - 258 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**5*n*n**(-1\/4)*n*(n*(n\/(n*n**(-3\/7)))\/n)\/(n\/(n**(-3\/2)*n)) assuming n is positive.\nAnswer: n**(-93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -33*z**2 + 80316*z + 14604 = 0.\nAnswer: -2\/11, 2434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 103, 307, 647, 1123, 1735, 2483?\n\"Answer: 68*g**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-50) + 9208\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + 64. Suppose 13*z - 1070 = -316. What is the remainder when z is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2535486*x. Let b(z) = -z. Give h(b(n)).\nAnswer: 2535486*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1a7?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 650 - -142125?\nAnswer: 143105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f. Let m(a) be the first derivative of -4*a**3\/3 + 3*a**2\/2 - 33. Let u(s) = m(s) + 3*y(s). Let z(v) = 28*v**2. Determine z(u(o)).\nAnswer: 28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.088 + -2.912. What is the second biggest value in 1, -0.1, b, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119\/(-9)*(-252)\/(-294)*3\/4?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 443.1057km to centimeters.\nAnswer: 44310570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -57. Let g be (-4)\/26 + 7294\/u. Suppose -5*q - l = -2*l - 79, -5*q - l = -81. Calculate the greatest common factor of g and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.51\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/23460 and -95\/1602.\nAnswer: 6263820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*(d**(-1\/2)\/d)\/d)\/(d**(1\/7)*d**5\/d)*(d*d**0\/d)**37\/(d**(-3)\/((d*d*d**8)\/d)) assuming d is positive.\nAnswer: d**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34826 - 49778 + 14952 - 4*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 91, 58, -11, -128?\n\"Answer: -2*g**3 + 5*g + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*l**2 + 335*l**2 + 28*l**2.\nAnswer: 449*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12713521.\nAnswer: 12713521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -13*w**3 - 2*w**2 - 15*w + 7. Let d(a) = -a**2 - a. Let z(y) = 6*y**3 - 5*y**2 + y - 3. Let j(f) = -6*d(f) + z(f). What is 7*j(l) + 3*q(l)?\nAnswer: 3*l**3 + l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*l + 12 = 0, 5*w - l - 8 = -4*l. Does w = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 596 - 584. Calculate the greatest common divisor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -245.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 651137 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1918600011 to the nearest integer?\nAnswer: 43802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 267199 bigger than 267771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - j**3 + j**2 - 3*j**4 + 4*j**2 + (1 - 72 + 37)*(-j**2 + 3*j**4 + j**2) to n*j**4 + u*j + r*j**3 + h + g*j**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3748 (base 11) to base 5\nAnswer: 124032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000969 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-3)*(-64)\/160.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n. Suppose 0 = -15*m + 696 + 1569. Let u(k) = -2*k + m*k**2 - 149*k**2 - k. Calculate u(a(x)).\nAnswer: 18*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-12) - 2)*0 + 2. Let t(b) be the third derivative of -1\/24*b**4 + 1\/3*b**3 + 0*b + v*b**2 + 0. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 3*a + 2*a. Calculate the remainder when 108 is divided by a.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 210\/(-28)*(-10)\/(-3). Let r = y - -28. Let p = 0 + 0. Solve 32 = -4*c + r*w, -4*w = -4*c - 36 - p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a day?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 0)*(0*y + 3*y - 4*y)*(40866 - 442*y**2 - 40866).\nAnswer: -1768*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1334*n**2*w**3 + n**2*w**2 + n**2 + 24405*n + 2*w**3 + 2*w**2 wrt n.\nAnswer: 2668*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89986?\nAnswer: 2, 13, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 2, l: 2}. What is prob of picking 2 e and 1 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(171)*3 + 0 + sqrt(171) + sqrt(171))*-6 + -3 + -2)**2.\nAnswer: 720*sqrt(19) + 153916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696 divided by -126.\nAnswer: 116\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 4, -150 in descending order.\nAnswer: 75, 4, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 62 = 3*l, r - 2*l = 3*l - 10. Suppose 745 = r*j - 335. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3550 (base 10) in base 12?\nAnswer: -207a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24646016 (base 7) to base 5\nAnswer: 1032331244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 379 - 250. Let c be (-1653)\/(-38) - 1\/2. What is the highest common factor of c and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**3 - 3*g**2 + 4. What is the least common multiple of r(-2) and 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 540, -34, 38, 8, 4, -3, 1 in increasing order.\nAnswer: -34, -3, 1, 4, 8, 38, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**3 + 3*r**2 - 3*r. Calculate x(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 + 40)\/(-13) - (-2)\/(4\/22). Solve 0 = -4*l - j*i + 4*i + 16, -l + 9 = 2*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(245) - (-5 + 1 + sqrt(245)))*2 + 5 + sqrt(245) + 3 + sqrt(245) + -2 + -5)**2.\nAnswer: 336*sqrt(5) + 1124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50025777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -23. Suppose -48*t = 40*t - 264. Let j = c - t. What is the remainder when 47 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 4. Let o be x(-8). Suppose -3*p = 2 - o. Differentiate 3*h - 2*h + p + h with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 34. Solve -4*n + 2*g = -4, 0*n - 3*n - l = -3*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -z + 3*v, 6*v - 5 = z + 5*v for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 6. Let d = 9 + h. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 6*s - 9*s - 7 + 8 + 1. Calculate q(-28).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o - 4. Let f be t(-7). Let x(m) = 2*m**2 + 6*m. Let v be x(f). Suppose 3*i - v*i = -15. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24096 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 w when four letters picked without replacement from {h: 1, b: 2, w: 14}?\nAnswer: 13\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((315\/27)\/(-5))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 5*v = 2974 - 10294, -r = -4*v + 661. Which is smaller: -666 or r?\nAnswer: -666","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + 4*o + (-1 + 0 + 2)*(2*o + 4*o - 3*o))*(4*o - 20*o + 2*o + 2*o + 6*o - 4*o + (-1 + 1 + 2*o)*(2 - 4 + 4) - o + 2 - 2 + 0*o + o - 2*o).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z + 450 = 0. Suppose -4*j + z = -2*j + r, 4*j + 5*r = 186. Let b be -2*2 - j\/(-2). Solve g + 3*a + 2 = -g, 2*g + b = 5*a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/2)\/(12\/(-42)*-7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664 + 687 = -233*w + 5120 + 2757 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-436)\/(-6) + 0 - 10\/15 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + -0.1268?\nAnswer: -0.0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3951 and 0.05?\nAnswer: -197.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 980076 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -3 - (2 - (5 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 5, 3, 115 in increasing order.\nAnswer: -8, 3, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5 = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 55, 123, 249, 451?\n\"Answer: 3*r**3 + 2*r**2 + r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, v: 2}. What is prob of picking 3 j?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 6*r**2 - r + 24. What is a(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + -27a?\nAnswer: -28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -498*d + 3\/8*d**2 + 165336.\nAnswer: 3*(d - 664)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3759\/15868 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430902 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4*p + 7. Let s be i(3). Suppose -2*z - 6 = -4*z + s*c, 5*z + 5*c = 0. Let o(h) = -h + 5. Calculate the remainder when o(0) is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1081546*n**2 - 20*n - 1147.\nAnswer: -2163092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90547 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 820, 910, 1068, 1300, 1612, 2010?\n\"Answer: i**3 + 28*i**2 - i + 792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4031 + -3722.3. What is c rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124284 is divided by 6213?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -4\/9 (c) 0.4 (d) -5 (e) -23709\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3 - 85\/(-15). Let z(u) = u**2 - 7*u + 4. Let c be z(l). Let g = 13 + c. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*d - 60 = 169*d. Is (-4 + 1018 + d)\/3 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46 - 28. Let b = -7 + 12. Suppose -5*w + 89 = -3*n + 8, b*w - n = 87. What is the smallest common multiple of w and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 3 + 3)*(-3*x - 5*x**2 + 3*x) + 3*x - 16*x - 6*x - 6*x**3 as v*x**3 + s + g*x + j*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 4) + 3 + -5. Is x + (3 - -1) + 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 167.\nAnswer: 167.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.09, -22, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1299? (a) 29 (b) -13 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -694.6 + 492. Let q = g - -199.356. Let r = q - 0.386. What is r rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 10700?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 17*u - 1606\/3.\nAnswer: (u - 73)*(u + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23735*o**3 + 3160*o**3 - 17228*o**3.\nAnswer: -37803*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i. Let q = -3 + i. Suppose 0 = -2*g - 0*g + 6. Sort g, 0, q in descending order.\nAnswer: g, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22106 - 1?\nAnswer: 22105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is dd - -18?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 774520 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, 108365, 1 in decreasing order.\nAnswer: 108365, 1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 634607 and 1?\nAnswer: 634607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 7*y - 584. Let g = y - -157. Solve 3*h - c + g = h, 0 = h - 5*c + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - w**5 + 0*w**3 + (-2*w**5 + 2*w**5 - 2*w**5)*(0 + 3 - 4) + (-4*w**4 + 8*w - 8*w)*(-w + 3*w + 0*w) - w**5 - 2*w**3 + 2*w**3.\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u = -53*u - 168. Suppose -u*c + 99169000 = 3*c. What is c rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -45*f + 1. Let o(q) = 835*q + 392. Give o(b(g)).\nAnswer: -37575*g + 1227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73463249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132757 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: Let u = -2 - -15. Suppose -5*p = -3*g - 137, -u = -p - g - 2*g. Let q be 330\/p - (-2)\/(-10). Solve -z + 0*z = 4*d - 7, -4*d - 3*z = -q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1106691, 1106796, 1106901, 1107006?\n\"Answer: 105*j + 1106586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -1\/10*z**5 + 1 + 0*z**3 - 3\/2*z**2 + 0*z**4 - 4*z. Let i(v) be the first derivative of c(v). Differentiate i(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2\/15 (c) -1708 (d) -27284\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 + 1 = 0. Let t be 16 + 0\/(-1 - z). Let n = 9 - 5. Calculate the greatest common factor of n and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47617\/2 and -23808 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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 v = 18 + -9. Suppose 5*z + 30 = 3*a, 0 = -4*z - 2*a - 8 - 16. Let w be v\/z*4\/6. Which is smaller: -2\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(0\/1 + 2). Suppose -6 = l + 5*x, -5*l + 21 = 2*x + 5. Solve -q + l*q = a for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 9. Suppose 4 = -4*b + 36. Let p be g(b). Let o = -34 + p. What is the highest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 4*f + 2. Let j be u(-10). Let i = j - -138. Solve 3 = 2*c - 3, -3*a - 2*c + 15 = i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 + ((-465)\/(-9) - 0). Find the third derivative of 51*z**4 - 30*z**2 - w*z**4 + 95*z**4 wrt z.\nAnswer: 2280*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*s - 2 + 1 + 16*s + s - 9*s in the form u*s + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -5, -3, 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**4*h*h**(-6)*h*(h*h\/(h**(-1)*h))**(3\/19) assuming h is positive.\nAnswer: h**(6\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:33 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 34. Solve n*b + 10 = -3*p + 4*b, 3*p = -5*b + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**5 + d**3 + d**2 - d. Let k(g) = 11*g**5 - 8*g**4 - 6*g**3 - 2*g**2 + 6*g - 1. Let n(h) = 3*k(h) + 21*s(h). Determine w so that n(w) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 2. Let x(y) be the second derivative of -7*y**3\/6 + 5*y**2\/2 + 2*y. Let l(g) = 15*g - 11. Let z(d) = 6*l(d) + 13*x(d). What is z(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f. Let d(w) = 87*w + 28. Let n(r) = 361*r + 114. Let o(b) = 57*d(b) - 14*n(b). Calculate o(c(s)).\nAnswer: -285*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21 + 5.0739191869\nAnswer: 26.0739191869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -7*v**5\/20 + v**4\/6 + 2*v**3 + 32*v. Let m(c) = -4 - c + c**3 - c**2 + 4 + 1. Let o(b) = -6*m(b) - u(b). Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/30)\/(2\/(-111)). Suppose 606 = 4*n + t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3ab0 - -4?\nAnswer: -3aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 14*i + 17. Calculate l(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*f - 4*p + 904 = -373*f, 4*p = -2*f + 364. Calculate the greatest common factor of 110 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*k + 174 = 158 - 446 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 k when two letters picked without replacement from {k: 1, j: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-888)\/(-228) + -13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3) + -1 - -4*sqrt(12) - 3*(sqrt(3) - (1*sqrt(12) - sqrt(12))**2)) + 2.\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -1142 (b) 0.24 (c) -4\/9 (d) 1 (e) 80 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + -67. Solve 0 = n - 3*n + y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 406668.99996 + -406662. Let f = 0 - -7. Let c = y - f. What is c rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - -4.84. Let p = x + -7. Which is the closest to 1? (a) 3\/5 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.52 from 3.\nAnswer: -8.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -86143*r - 2. Suppose -3*g = 13 - 1. Let o be x(g). Suppose 0 = -4*b - o - 455430. What is b rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-14))\/(4\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d62 (base 16) to base 11.\nAnswer: -2635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 - 4*z - 10. What is k(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-3 - -1) - 0. Let g be (w\/(-4) + 3)*1. Which is the nearest to g? (a) -0.5 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295 is divided by (16\/12)\/(2 - (-230)\/(-120)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18147449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102715*t + 17 = -102732*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -4, 0.3, -22 in decreasing order.\nAnswer: 0.3, -4, -22, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4429208 (base 10) to base 6.\nAnswer: 234533332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -208 - 252?\nAnswer: -45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25536462 (base 7) to base 4\nAnswer: 20320210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -9237675 and -9237664 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 678*t**3 + 13*t**2 - 23068*t wrt t?\nAnswer: -12*t**2 + 4068*t + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1665 at least as big as 13.0392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123253, -493005, -1109259, -1972015, -3081273, -4437033?\n\"Answer: -123251*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-13)*w*w*w*w**(6\/13)*(w\/w**4)**(-13))**24 assuming w is positive.\nAnswer: w**(9192\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 2:06 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2 + 3*c. Let i(p) = -15*p**2 + 11*p. Let v(k) = 6*i(k) - 22*y(k). Let j(l) = -2*l + 2*l + l. Calculate v(j(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 2:40 PM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124301262.\nAnswer: 2, 3, 71, 431, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7873 - 7873 + 290*k**2)*(-3*k + 2 - 2) + 2*k**3 + 3*k**3 - 4*k**3.\nAnswer: -869*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -9*i**4 + 444*i**3 + 78582*i**2 + 1432932*i - 17611725 = 0.\nAnswer: -43, 25\/3, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229040 and 672?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 - 151. Which is the closest to -1? (a) 0.7 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/(189\/(-230) + 24\/30). Calculate the greatest common divisor of 184 and s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 17. Is 70 + 3\/b + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q - 190 = 0. Let n = 48 + q. What is the derivative of 2*t**2 + 5*t**2 - n*t**2 - 15 - 9*t**2 wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 2190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.6254043 minutes?\nAnswer: 37524258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 5*k**6\/6 + 3*k**2 - 8. What is the second derivative of j(n) wrt n?\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z*z**10*z)*z)\/z*z*z\/(z**7\/z*z))\/(z**(-6)\/z**(3\/4)) assuming z is positive.\nAnswer: z**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-284 - -285) + 2 + -10 + 1 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/38 - 10\/(-95). Suppose -16 = 4*i, 0*u - 32 = -3*u + o*i. Solve u*y + 25 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v**3 - 135 + 135)*(2 - 1 + 0)*(36*v - 36*v + 48*v).\nAnswer: 576*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 3. Let o = -9 - -13. Let v = c + o. Solve -5 = 4*m - v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 5*x**2 - 4*x**2)*(0 + 0 - 3*x)*(-3*x - 3*x + 5*x).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*2\/4. Let n(k) = -4*k**2 + 62*k + 84. Let l be n(19). Let i be l\/156*8\/14. Which is the nearest to i? (a) -2\/7 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -5*z**8\/56 + 9*z**5\/20 + 11*z**2. Find the third derivative of a(h) wrt h.\nAnswer: -1800*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/48 - 5*x**4\/96 + 25*x**2. Suppose v(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2252550 - -632?\nAnswer: 2253512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 - 75. Let m = 147 - n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 = -80599*f + 80645*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**(-1\/8)\/l))\/l*l**(-1\/3))\/(l\/(l\/(l*((l*l**5*l*l*l)\/l)\/l)*l)*l*l**(-5)*l))**(-48) assuming l is positive.\nAnswer: l**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*-1*-5)\/(sqrt(1008) + sqrt(7)))\/((-3*sqrt(28))\/sqrt(7) + sqrt(144)).\nAnswer: 5*sqrt(5)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4265 - 2432?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -19. Suppose -q + 7 = -a. Let b(m) = m**3 - 6*m**2 + 5*m - 4. Calculate b(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24774 and -2.94.\nAnswer: -24776.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1 + (sqrt(17) - sqrt(17)*-1*5) + sqrt(17) + sqrt(17))**2 - (sqrt(136)\/((sqrt(56)*-1)\/sqrt(7)))**2.\nAnswer: -26*sqrt(17) + 2857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277095?\nAnswer: 3, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**6\/21 - 2*t**5\/5 + 9*t**4\/7 - 40*t**3\/21 + 8*t**2\/7 + 516. Let p(g) = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 10 = 11*m. Suppose -m = 2*y + z, -z + 12 = -3*y + 2*z. Which is the smallest value? (a) y (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1488\/(-10))\/6*(-360)\/48. Calculate the highest common factor of 434 and n.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 18*u + 399. What is the smallest common multiple of 12 and l(18)?\nAnswer: 2892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -70db - 5?\nAnswer: -7102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 - 4 - (5 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 33, -5, 0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -3\/44*x**4 + 0*x + 0*x**3 - 33*x**2 - 1\/44*x**6 - 7\/110*x**5 - 1\/385*x**7 + 0. Factor l(d).\nAnswer: -6*d*(d + 1)**2*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 789 * -0.11\nAnswer: -86.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 - (-12 + -6 + 14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1679634 divided by 33.\nAnswer: -50898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 9. Let m be z(6). Suppose y + 12 = m*y. Let i(h) = h**2 - 9*h + 6. Determine i(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.332587 + -27.33. Round c to 4 dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -143945, -143947, -143949, -143951, -143953, -143955?\n\"Answer: -2*a - 143943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-3)*(-1 + 0). Suppose -6*r - 5*r = -44. Solve 2*a - 5*t - 13 = f, -2*a - 2*t - 2*t + r = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 88, 89, 100, 127, 176?\n\"Answer: v**3 - v**2 - 3*v + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + r**2 + 18*r + 9. Give m(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 141*i**4\/8 + 482*i**3 - 87*i**2. Find the first derivative of d(y) wrt y.\nAnswer: 423","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521 a factor of 2239733436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 7. Is k(-4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761 is divided by 77?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.308 and 1?\nAnswer: 6.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -0.02, -0.5, 786026?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43133 + 3925065\/91. What is the common denominator of w and -43\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + cbbd6?\nAnswer: cbba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22229, -1, 3.\nAnswer: -22229, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2040239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.11 + 16. Let n = 1.89 - i. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841268.\nAnswer: 2, 210317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/24588 + 224365\/12294. Calculate the common denominator of 2\/(-1)*26\/8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eega when four letters picked without replacement from {a: 7, g: 1, e: 12}?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 - -3.9. Let i = -460 - -457. What is the fourth smallest value in -0.5, b, i, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 675 = -81. Let q be 224\/r - (-2)\/(-6)*2. Put -5, 1\/3, q, -5\/6 in increasing order.\nAnswer: -5, -5\/6, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2. Let t(o) = -2786*o**2. Calculate y(t(g)).\nAnswer: -7761796*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-1 + (-95)\/(-35). Let r be (-2)\/(-6) - (-2)\/(-42). Which is the closest to r? (a) 5 (b) -2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -24*m**2 + 2*m - 2. Let k(j) = 120*j**2 - 11*j + 11. What is 11*c(r) + 2*k(r)?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 71*c - 1. Let g be l(-3). Let h = g + 335. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 664?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -75 + (-9 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 0, 3*n - 2*n = -3*l + 1. Let u = 577\/6 + -74. What is the common denominator of 23\/(-18) - (-3 + n) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1 (c) 0.6 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*p - p - 275, -p = 4*m - 83. Let y = -41 + p. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4691693 and 0.04?\nAnswer: 4691692.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, p: 1, o: 4, h: 1}. Give prob of sequence pgg.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 16. What is the closest to 0 in -2, -16, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 9*m + 4. Let o be 12\/(4\/((-24)\/(-9))). Let y be n(o). What is the nearest to 0 in -1, y, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 284149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -18. Suppose -426 = -12*i + m*i. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 - 1)*(2*q - 2*q + 5*q**2) + 0*q + 2*q**2 + 2 + 0*q to z + g*q + t*q**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/4 + 21*n**3\/2 - 93*n**2\/4 + 12*n = 0. What is n?\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + 0.72. Let q = n - 0.2. Suppose 73*x = x + 288. Which is the second smallest value? (a) 0.2 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.2 (c) 3 (d) 1 (e) -309 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -102034225 (base 6) to base 13\nAnswer: -4a3246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1664) - (sqrt(1664) - (-2*sqrt(1664) - sqrt(1664))))\/(5*sqrt(8)).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 39*z - 16. Let p be l(19). Solve c = -p*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2 - 499950*y + 20829166875 = 0.\nAnswer: 83325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 17. What is x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 4*q = 3*f, -4*q - 2*f = q - 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -1.2422.\nAnswer: -2.0422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/4)\/(10\/(-8)) - -4. Which is the third smallest value? (a) -0.5 (b) 4 (c) -1\/6 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3 - 13638*i**2 - 23422*i + 1 wrt i?\nAnswer: 24*i - 27276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 4774068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/9*((-3825)\/(-865))\/(-3). Let j = q - -1\/346. What is the nearest to -3\/4 in 0.5, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*c**2 + 3 - 184*c**2 - 3.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 0, 15, 44, 93, 168, 275, 420?\n\"Answer: g**3 + g**2 + 5*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -143200425 (base 6) to base 16\nAnswer: -2d1721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130*z**6 + 6*z**2 + 2*z.\nAnswer: -15600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 17. Let t be s(6). Suppose -4*n + t*g - 8 = 0, -5*n + 4 + 15 = g. Solve -4*k - n*a = 12, -2*k - 3*k = 3*a + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1429 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33177192 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.94829319 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 - 79*b**2 + 172*b + 78. What is g(37)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 887*p**2 - 160*p**2 - 2 - 23*p**2. Let r be n(4). Let s = r - 17762. Round s to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)\/(u*u**(-32)*u*u))\/(u**(-47)\/u*u\/(u*u*u**(-12))*u) assuming u is positive.\nAnswer: u**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose -b*z - 4*r + 6*r + 26 = 0, r = -5*z + 22. Suppose -6 = -z*l + 19. Solve -l*q - 13 - 7 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 13) in base 5?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -28, -226 in ascending order.\nAnswer: -226, -28, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -f + 30, -10 = -3*f - 3*t - t. Let g(b) = -3*b + 28. Let d be g(f). What is the units digit of (2 - -23) + 6 + 2\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:09 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 524*m + 2440 + 15510 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35.5 in 0.2, -0.4, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -101100100010111100?\nAnswer: 101100100010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 467 * -5199\nAnswer: -2427933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/20 - r**4\/24 - r**3\/6 + 2*r**2. Let j(p) be the first derivative of b(p). What is the derivative of j(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from {j: 1, t: 1, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*k + 22 = 9, -4*k + 11 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47481 + -47481. Let s = -4 - -3.8. What is the second smallest value in r, -2.2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + 15.8. Let h = -16.02 - -0.02. Let t = a + h. Put 1, t, 0.03 in descending order.\nAnswer: 1, 0.03, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 4*g + 11218 - 42918. Calculate the highest common factor of 30 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 + -86. Let v = 88 + -41. Is 4 + (v - q) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) -46 (c) -3\/2 (d) 0.1 (e) 2 (f) 10 (g) 21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030123131 (base 4) to base 5.\nAnswer: 40004203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*b + 200, 0 = -5*b - 2*x + 5 + 303. Let g be (-6)\/14 - b\/126*-3. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1416.651 years in months?\nAnswer: 16999.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k + 35. Let q be l(-17). Let p = -27 + q. Let n(o) = -6 + o - 16*o - 1 + 14*o. Calculate n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 385928 and 256.\nAnswer: 12349696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:04 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15.12444 days?\nAnswer: 1306751.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c1282 (base 13) in base 5?\nAnswer: 140413131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 475596052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Suppose 0 = -4*o + j*o + 10. Calculate the highest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - 8) - (-1 + 5) - -15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -4 - (-2 - -1). Solve -3*q = 3*j - 34 + 7, -s*q + 1 = -3*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 101. Suppose 0 = 2*w + w - j. Let u be (-6)\/4 - ((-7)\/14 + -8). Calculate the greatest common divisor of w and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 2*o + 2*o + (-1 - 5 - 5)*(4*o + o - o) as x*o + d and give x.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 93632 = -33*b + 5*b. Calculate the greatest common factor of 1672 and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/3 - 28\/3. Which is smaller: -2\/7 or j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263 and -92912.\nAnswer: 24435856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 184218286 a multiple of 329?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from {h: 2, c: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3956 by -92.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -2.1 (b) 1\/5182 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y - 341. Let v(p) = -5*p - 171. Determine -3*j(x) + 5*v(x).\nAnswer: -x + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1000011010011001 (base 2) to base 8\nAnswer: -103231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2771*o**4 + 2230*o**2 + 1?\nAnswer: 66504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 42*t - 340. Let g be z(11). Which is smaller: 4\/5521 or g?\nAnswer: 4\/5521","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/21)\/(-5)*(-30)\/10. Let u = -0.7 - 1.3. Which is the second biggest value? (a) u (b) 15 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(3*v**4 + v**4 - 2*v**4) + ((-5 + 5 + 2*v)*(-4*v**2 - 5*v + 5*v) - 2*v**3 + 15 - 15)*(-2*v - 2 + 2) + 2*v**4 + v - v.\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4.538726m?\nAnswer: 4538.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30110325 (base 6) to base 12.\nAnswer: -34b3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -98648, -1, 5, -38, -4 in descending order.\nAnswer: 5, -1, -4, -5, -38, -98648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 990434 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*x + 4 = 8, 5*x = d - 22. Let g be (2 - 6)\/((-14)\/(-8)). What is the nearest to 2 in -1\/5, g, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.52 - 5.7. Let g = n - -0.18. Do g and 1\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 - 72. Calculate the least common multiple of 5 and u.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, o: 9}. What is prob of picking 2 o and 2 q?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -9*l + 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -13, -3 in decreasing order.\nAnswer: 2, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1823615 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19165 is divided by 664.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*k - 28, 3*k = -5*l - 29 + 78. Suppose -21 = -k*q + 31. Solve -q*g - 4*m = -32, 0 = -g + 2*g + 4*m - 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*s + 29 - 21 = -191 + 55 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d + 9. Suppose -3*j + 2*b = -19, -j = -3*b - 3 - 15. Suppose -l = -5, 2*l - 17 = 2*a - j*l. Let z(q) = -4*q - 4. What is a*y(x) + 9*z(x)?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 41*j + 43 = -36*j, 2*t - 59 = -j. Solve -8*o - t = 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-88))\/((-3)\/516066). Let p = 3911 - d. Calculate the common denominator of (-25)\/(92\/4 - 1\/1) and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/249312 and 65\/8904.\nAnswer: 249312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0596244 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*p**2 + 31*p**2 + 47*p**2 + 33*p**2 + 33*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccvc when four letters picked without replacement from {v: 6, q: 1, c: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1469*z - 742*z - 452*z - 684*z + 2 + 0 as x*z + f and give x.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.947 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 3 + (6 - 1) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31913 - 29773.26031\nAnswer: -61686.26031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -376*i + 177. Let c(y) = 75*y - 35. Let x(s) = -11*c(s) - 2*q(s). What is the first derivative of x(d) wrt d?\nAnswer: -73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 31*j. Let z(u) = -10*u**3 - 29*u**2 - 62*u. Determine -2*c(r) + z(r).\nAnswer: -8*r**3 - 29*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 4*y + 2. Let h be t(-4). Suppose h*r + 2*r = 492. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 112*d**3 - 900*d**2 + 81*d - 609. Give o(8).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(0*h - 4*h + h) - 41*h - 50*h - 66*h.\nAnswer: -154*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47054413 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (-2 + sqrt(432))**2 + (sqrt(432)*1)**2 + 0 - (-4*(sqrt(432) + -2*sqrt(432)) - (sqrt(432) - (sqrt(432) + 0 + -1)))**2).\nAnswer: -6047 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**5 - 36*v**4 - 96*v**3 + 162*v**2 + 93*v - 126 = 0?\nAnswer: -3, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168852 + i**3 - 168848 + 4*i**3.\nAnswer: 5*i**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 655169266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 y when four letters picked without replacement from {d: 4, y: 5, l: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 8*v**2 - 7*v. Suppose 60 = -6*u + 2*u. Let t be (-9)\/u + (-21)\/(-15). Let h be (8 - -1 - t) + 0. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 7*q + 87. Let r(y) = -15*y - 172. Determine 13*c(u) + 6*r(u).\nAnswer: u + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 53315 = 5*r, -4*r = 28*k - 23*k - 42648. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-16))\/(-5*(-9)\/(-30))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229821077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 1, n: 1, x: 1, b: 2}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyq when three letters picked without replacement from {v: 1, q: 2, z: 2, e: 2, y: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/14)\/(1\/(-11))*-4. Calculate the highest common factor of r and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7383 is divided by 2429.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -506939*w**2 + 1013892*w**2 - 506935*w**2 + 288 in the form p + s*w**2 + q*w and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 5*b - 6. Let k(x) = x**2 + 6*x + 3. Let q be k(-6). Suppose 5*g = -q*o - 43, -g - g = o + 16. Does 14 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 2, k: 4}. Give prob of picking 2 k and 1 o.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 6*d + 32. Let n = d - 11. Sort 4, -2, n in descending order.\nAnswer: 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 0*x + 1\/12*x**4 + 5\/6*x**3 - 2*x**2 - 2. Let w(h) be the second derivative of q(h). What is w(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*r + 4*y + 124, -9*y = -5*r - 0*r + 7*y - 13*y - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd (base 14) to base 6.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -398 bigger than 11.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6440241 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 28*g = 17*g. What is the closest to g in 0.03, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1673\/21 + (-8)\/12. Suppose 0 = -z*t + 77*t - 16. Suppose 0 = -3*w - 12 - 0. Sort t, w, 0 in ascending order.\nAnswer: t, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 12*b = 42 + 79. Suppose -169 = -2*h + 3*n + 2*n, -3*n - 345 = -4*h. What is the remainder when h is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2. Let y(a) = -38769*a. Calculate y(m(o)).\nAnswer: -77538*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846359 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.154 + -0.476. Let q = -2.37 + f. What is the closest to -0.1 in -2\/3, -1\/10, q?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9*l**(-2\/27))**(-4\/9)\/((l**1)**(-39)*(l\/(l*l\/l**1)*l)**(-13)) assuming l is positive.\nAnswer: l**(11672\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-7) + (-96)\/160*10.\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*g**2 + 928*g - 161472 = 0. Calculate g.\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -28, -39, -48, -55?\n\"Answer: w**2 - 16*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v**(-2\/5))*v)*v**(3\/7)\/v)**(2\/35)*(((v**(-3)\/v)\/v)\/v**(1\/3))\/((v*v**(-1))\/v)**(1\/3) assuming v is positive.\nAnswer: v**(-6123\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Let v = a - 2. Let k = -11 + 16. Calculate the least common multiple of v and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 506 + -33. List the prime factors of y.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -61. What is the smallest common multiple of f and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 14, -4, -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2)\/p**(-7)*p**7\/(p\/(p*p**(-1\/3))) assuming p is positive.\nAnswer: p**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -58 - 46. Let z(u) = -u**2 - 18*u + 24. Let s be z(-11). Let g = s + m. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2411 and 1\/125582 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(48)\/sqrt(4)) + sqrt(45)*2.\nAnswer: 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w)*(579 + 520 - 115 + 404).\nAnswer: 1388*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 32598, 32594, 32590, 32586, 32582?\n\"Answer: -4*i + 32602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s + z + z, 3 = s - z. Suppose 0 = -c + s*c - 198. Calculate the highest common divisor of c and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2 = -2*y + 5*y, 2*y - 4 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984.6915 nanometers to millimeters.\nAnswer: 0.0009846915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3792 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (144\/20)\/(1\/20). Suppose i = o + 2*o. Calculate the greatest common divisor of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i, -80 = -5*q - 5*i. Solve -13*p + q*p = 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325151589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, -0.0732 in decreasing order.\nAnswer: 0.5, -0.0732, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 3*z**6\/20 + z**5\/20 - 583*z**2. Factor u(n).\nAnswer: 3*n**2*(6*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46213051 (base 7) to base 14\nAnswer: 771398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 100*l + 2536. Let u be f(-56). Suppose -2*s = 24 - 150. What is the highest common factor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -z**3\/3 - 3*z**2 - 3*z. Let n be w(-8). Suppose 2*c - n = -0*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z + 0*z - 2*z)*(112*z**2 + 35 + 125*z**2 - 252*z**2) to p*z**3 + r*z**2 + v*z + s and give v.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - u - 6)*(-2 + u + 2) - u**2 + 0*u**2 + 5*u**2 - 12*u - u**2 + 12*u - 2*u.\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 - (-222)\/4. Let y = 90 - u. Let s = 60 - y. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(840\/(-108)))\/(-33))\/(12\/120*4)?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27553 and 644927?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -96*k + 18. Find x such that 3\/7*x**k - 6\/7 - 3\/7*x = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 527 divide 106087735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 9*l - 38526 = -2*q, 19263 = q - 3*l. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 1 + 1)*(0*d - d**2 + 0*d) + 7 + 10 - 2072*d**3 + 2071*d**3 to x*d**2 + l*d + z*d**3 + j and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 9. Suppose 2*z - n*z = -0*z. What is the biggest value in -4, -1, 1\/4, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2530, 2529, 2528?\nAnswer: 2527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000085786 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 16 + 4*f - 18.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 936, 3 in increasing order.\nAnswer: -3, 3, 936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2399 - 2373. Put 0.1, 102, z, 2 in decreasing order.\nAnswer: 102, z, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (-12 - ((-9 - -4) + -5) - -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 502\/763 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 2, x: 1, t: 1, u: 1, g: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (31185\/10395)\/(3\/(-75))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -87*c**3 + 3*c**2 + 2*c. Let n be z(-1). Let j = -28 + n. Let b be 22 - (0\/(-3) + -2). What is the highest common factor of b and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9825, 9809, 9793?\nAnswer: 9777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*p)*((4 + 1 - 4)*(-2 - 1 + 21) + (5 - 2 - 1)*(0 - 3 - 8)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*m**3 + 2*c*m + 112*m**3 - 79*m**2 wrt m?\nAnswer: 12*c + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcaaabaacaabacbc. What is prob of picking 1 a and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53360.05nm to millimeters.\nAnswer: 0.05336005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 11*o + 4. Calculate a(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let v = -47 + 48. Let d be (v\/2)\/(14\/8596). Let x(j) = -4*j**2 + d*j - 307*j. Calculate b(x(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 158*u + 1717. Let y be k(127). Is y at most as big as -2220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3827, -7830, -11831, -15830, -19827, -23822?\nAnswer: -27815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 8:00 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 828 and 118611?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -76*p**3 - p. Suppose -8 = -2*a - 0*a. Suppose -5*n = -a*n + 1. What is the remainder when o(n) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-20))\/(2*1\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2185\/6 + 387. Find the common denominator of g and -44\/81.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113292 divided by 6.\nAnswer: -18882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37786700977 + -3727.\nAnswer: 37786697250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 0*q + 1\/2*q**6 + q**3 - 3\/5*q**5 + 3 + 0*q**2 - 3\/4*q**4. What is p in j(p) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 plus -1916903578?\nAnswer: -1916903577.947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -23*q + 1. Give x(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 7227 + 169*x + 127*x - 296*x.\nAnswer: 4*x**2 + 7227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -174*z**2 - 89. Let f(j) = 45*j**2 + 23. Let g(b) = 23*f(b) + 6*w(b). Let o(r) = -3*r**2 - 9*r. Calculate o(g(n)).\nAnswer: -243*n**4 - 189*n**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 3*s = 3798. Is (0 + -3)*(-4)\/((-72)\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*d - 19*d**4 - 39*d - d**4 wrt d.\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 2 + 4)*(-4)\/2. Suppose -4*j + 3*p + 23 = 0, -2*p - 19 = -3*j - 2. Sort j, f, -11.\nAnswer: -11, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 6*y - 11. Let v be b(4). Sort 4, v, -4.\nAnswer: -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/3))*o*o*o**(-7))\/(o**(-2)\/o*o*o)**(-47) assuming o is positive.\nAnswer: o**(-157\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39855475 is divided by 120?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (17 + 7 + -17 - -13 - -133)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 43*m**3 - 53*m**3 + 42*m + 4*m - 61*m.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**2 - 8203*v**3 + 15*v**2 - 25*v**2.\nAnswer: -8203*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*2*sqrt(539)*-6 + 5 + 3)**2.\nAnswer: 3528*sqrt(11) + 698593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 2*v**2 - 3*v + 6. What is h(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 1169790.\nAnswer: 24565590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 237 = -5*a + 5*s, -2*a = 5*s - 109. Let p = -43 + a. What is the second biggest value in -0.2, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1991 = -290*x - 1199 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -371, -1504, -3393, -6038, -9439?\n\"Answer: -378*h**2 + h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdrddrdddrdedredrd. What is prob of sequence errd?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 55 + 28)*(-44*z + 82*z**2 + 44*z).\nAnswer: 4674*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 181522765 and 335.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 9:45 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 3. Suppose 2*v - 132 = 5*p, 0 = -5*v + p - 5*p + 330. Suppose -v = -45*b + 48*b. List the prime factors of f(b).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u - 5 = -89*u, -u = -5*d + 25 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 631*j + 5489. Determine n(-83).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26415, 211314, 713129, 1690302, 3301275?\nAnswer: 5704490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 615 - -126. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/o*o)\/o**14*(((o*(((o\/(((o\/o**(-1\/8))\/o)\/o))\/o)\/o)\/o*o)\/o)\/o)**38 assuming o is positive.\nAnswer: o**(-195\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (36\/(-5))\/((-26)\/455) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - 23 - -14 - (27 + -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7\/3))**13 assuming x is positive.\nAnswer: x**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13454997 is divided by 1560.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 195 = 4*x - i, 4*x = 4*i - 160. Let p(q) = 22*q - 23. Let g be p(5). Let n = g + x. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -17. Let h = 6 + s. Which is the second biggest value? (a) h (b) 0.4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 230 = -221. Let q(z) = -2*z**3 + z**2 + 4*z + 1. Calculate q(d).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 21. Determine g(10).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -3074937?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 86.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (32 - -1) + 4 + -10 + 3. Suppose -58*f + p = -52*f. Solve -f*q + 4*r = -40, -4*q + 2*r + 16 + 10 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from islimlsisllsjmllsmmi. Give prob of sequence imms.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -690647\/111 - -6222. Let m = o - 491\/3885. Let r be (-72 - -81)\/(9 - 0). Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + j = -j + 80, -g = 4*j - 6. Let c be (-44)\/g + 1*6. Solve c*r - 7 = 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*((-3)\/(-6) - 3). Let r = -15 + z. Let 0*h**2 + 0 + 1\/4*h**4 - 1\/4*h**3 + r*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 2:25 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.2 + -0.8. What is the nearest to 12 in x, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9255.8 + 9255.8074643. What is h rounded to 4 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 87456, 174910, 262364, 349818, 437272, 524726?\n\"Answer: 87454*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(2160) - sqrt(2160)) + sqrt(15))\/(sqrt(432) + (sqrt(432)*4 - sqrt(432))).\nAnswer: -59*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 25*q**4 - 6*q + 6*q**2 + 6*q**2 - 14*q**2 + 4*q**2 in the form i*q**3 + u*q**2 + c + g*q**4 + f*q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4313481 (base 9) to base 8.\nAnswer: -10643570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -279 + 279 + 93*f**2 + 2*f - 3*f as k + x*f + z*f**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2268431 and 129919230.\nAnswer: 1429111530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 + 59*r**2\/2 + 741*r = 0. What is r?\nAnswer: -19, 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 264473, 529443, 794413, 1059383?\nAnswer: 1324353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15920720?\nAnswer: 2, 5, 127, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42828075 is divided by 8565612.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3*s**2 + 2*m**3 - m**2*s + 80*m - 2*s**3 wrt s.\nAnswer: 4*m**3*s - m**2 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 4\/7, -636, -4 in ascending order.\nAnswer: -636, -4, 0.08, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/2, 0.4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4690049 litres?\nAnswer: 469.0049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2118070 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*s = 120, -79 = -4*t - 13*s + 12*s. Let y(x) = -5*x + 102. Give y(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + -2)*(-2)\/2. Suppose 2*i = t*z + 13, i + 1 = z - 0. Let m be 3 + -2 - (5 + i). Solve m*k = 6*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u + 3. Let h be w(5). Let r = -1343 + 1674. Let c = r + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1583776 rounded to 4 dps?\nAnswer: 0.1584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9612.9 - 9612.90048681. What is k rounded to five decimal places?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5331 - -7532. List the prime factors of w.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d + 4*x - 24, -39 = -2*d - x. Let u = d + -10. What is the remainder when u is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -1. Suppose -4*k + k = 9. Let i = m + k. Solve -5*d = -5*q + 24 + 6, i = 3*q + 2*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1972 and 21460.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 1. Let d(p) be the second derivative of p**3\/3 + p**2\/2 - 7*p. Calculate -4*a(y) - 5*d(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-492)\/28 + 20\/280*238\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 6*y**2 - 7*y + 6. Let p be g(5). Let t = -59.5 + 62. Let j = -2.48 + t. Sort j, p, 0.5 in decreasing order.\nAnswer: 0.5, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = 0. Suppose 0*s + 16 = -3*s + l, -4*s + l - 21 = z. Let m = s + 8. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1870 and 16445.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*k + 38, 3*n = -15*k + 18*k - 36 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 - z - 6. Let p be n(-4). Let m = p + 0. Sort -6, -8, m in descending order.\nAnswer: m, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*f - 33*f - 10*f)*(6*f - 2*f + 1 - 2*f) to y + w*f**2 + h*f and give h.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ac + 2?\nAnswer: 8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2904 or 14726?\nAnswer: 2904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -668, -1004, -1340, -1676, -2012?\nAnswer: -2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2223220310 (base 5) to base 8\nAnswer: -22536635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7*(10 + 3376\/(-336))\/(2\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 15*c - 2. Let k(a) = -a. What is 4*k(v) + n(v)?\nAnswer: v**3 + 11*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**6\/120 - i**5\/60 + 2*i**3\/3 - 3*i**2\/2 + 11*i. Let s(d) be the first derivative of n(d). Calculate s(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.98 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 699*t + 6*t - 698*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 344 = -3*c - 136, 0 = b - 3*c - 56. Calculate the remainder when 1890 is divided by b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 7*p - 25. Let q(h) = h**3 - 2*h**2 + 1. Let a be q(p). Suppose 4*w + v + 0*v = 65, a = 5*w + 3*v. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132014 (base 6) in base 15?\nAnswer: 2137d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + 2*sqrt(1539) + -2*sqrt(1539) + -3) + -4)**2*-6 + -5.\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122544853*o - 11667487 wrt o?\nAnswer: -122544853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 6:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 2*p**3 + p**3 + (0 + 0 - 2*p**2)*(4*p - 5*p + 4*p) + 2*p**2 - 2*p**2 + 2*p**3 + 4*p**3 - p**3 - p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-18) + 1 + 4\/(-6). Let j = l - -13. What is the tens digit of (352\/j)\/(((-8)\/6)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in months?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2240 divided by -14\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.347*0.6\nAnswer: -0.2082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 52 = 3*h, 4*d + 96*h + 496 = 72*h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144145 (base 6) in base 8?\nAnswer: 33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - (2 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Suppose 4*t = 6*t + y - 12, 0 = -5*t + y + 16. What is s(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 10:27 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, p: 3, h: 2}. What is prob of sequence epe?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-9))\/(2\/(-3)). Suppose 0 = -b*f + 25 + 7. What is the common denominator of 142\/40*(-40)\/f and -3\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -90*w**3 - 6*w**2 - 97*w - 341. Is 152 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 22. Suppose -l - 3*f = -f + y, f - 3 = -4*l. Let z(m) = 3*m - 91. Let j be z(32). Calculate the greatest common factor of l and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x + 4. Let w = -17 + 10. Let j be c(w). Suppose -5*h - 3*v + 122 = -5*v, j = 3*h + 5*v. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*j - 4459 - 911 = 0 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fpfppppfpffpp. What is prob of sequence ff?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/115848 and -85\/8?\nAnswer: 115848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -10921847 and -10921846 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -153*y**2 - y - 15*y + 475*y**2 + 13*y + 3 + y**2 - 3 + (-y + 1 - 1)*(-4 + 2*y + 4) + y**2 - 4*y**2 - y**2.\nAnswer: 317*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -3 - ((3 - 13 - -16) + -68)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = 5*q, q + q - 8 = k. What is k rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -207? (a) 4 (b) -50.2 (c) -1\/29 (d) 0.02 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26*c**4 - 56*c**3 + 34*c**2 - 4*c.\nAnswer: 2*c*(c - 1)**2*(13*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48414 and 320.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1573, 3316, 5059, 6802, 8545?\nAnswer: 10288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-3)\/58)\/((524\/1965)\/(4\/30)).\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 8*h**2 + 7*h**2 + 0 - h**4 as z*h + o*h**4 + g*h**2 + a*h**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0 + 1\/4*y + 1\/4*y**2 - 1\/4*y**3 - 1\/4*y**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s = -24*s + 79 + 110. Solve 3*g + 19 = 4*x, -g = s*x - 0*g + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4 + 1 + 0 - 3 + (-4 + 3 + 3)*(-4 + 1 + 2) + 2 - 2 - 1)*(2*k - 4*k + 6*k).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = 0, 2*y + 243 = -2*f + 5*y. Let i be ((-19112)\/f)\/(20\/(-6)). Let t = 252\/5 + i. What is the nearest to -2 in 3\/7, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -3731\nAnswer: 4104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 389927069 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/80 and 13\/11.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9360)\/(-468)*(-2)\/((-4)\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 536422.8 nanograms in grams?\nAnswer: 0.0005364228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 + 0\/4)*-1. Let p be (34\/3)\/((-22)\/(-33)). Is p bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -2, 0.1, 1\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/19 (b) -0.3 (c) 3\/4 (d) 11 (e) -5\/2 (f) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -36*n + 140. What is the third biggest value in n, -513, 0.2?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -2*k**3\/27 + 132*k**2 - 78408*k + 3178. Solve i(l) = 0.\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40895766*o**5 - 9241023*o**2?\nAnswer: -2453745960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -322 + 324. Suppose -4*f + 0*z = -z - 25, f + 4*z - s = 0. Solve -2*d = -7*r + 2*r - 1, -d = 4*r + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/9 + 44*s**4\/3 + 10528*s**3\/9 - 72492*s**2 - 1335902*s\/9 - 224360\/3 = 0. What is s?\nAnswer: -71, -1, 60, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-20))\/((-28)\/(-24)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/5098816 and 61\/796690.\nAnswer: 25494080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -722 or 4264?\nAnswer: -722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from zzlilzzlzmilizziq.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 2*n + 6*n**2 + 2*n**3 + 4*n**3 - 33 + 33 + (2*n**2 - 2*n**2 + n**2)*(2*n - 2*n + n) in the form r*n**3 + d*n**2 + i + a*n and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103020 (base 4) in base 16?\nAnswer: 74c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.904962 weeks in microseconds?\nAnswer: 547321017600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 65, 85, 107, 131?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/783*(3\/(-8))\/3)\/(2\/(-66)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-4))\/1)\/(300\/(-3700)*(-6)\/36)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -965, -4230, -9653, -17216, -26901?\n\"Answer: 3*w**3 - 1097*w**2 + 5*w + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1517?\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 68001641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:11 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**2 + 2544447*r + 53456372 with respect to r.\nAnswer: 2*r + 2544447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 971*i**3 - 397*i**3 - 544*i**3.\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 8*x - 4*x - 48, -5*n - 4*x - 32 = 0. Calculate the common denominator of 3\/(-9) - 706\/(-156) and (-5)\/24 - n\/(-12).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -327 + 343. Suppose 15 = j + 2*j - 3*t, 2*j - 5*t - a = 0. Solve -4*d + 29 = -j*y, -3*y - d - 10 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 29?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900271.7 millennia to decades.\nAnswer: 90027170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595184 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-6)\/16)\/3). Solve 5*b - 7 = n for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**3)\/(b\/(b*b\/(b*b\/b**(2\/3)))))**(-16\/3) assuming b is positive.\nAnswer: b**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d949 + 2166?\nAnswer: -b7c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 211 + -517\/2. Let c = -7239\/8 + 903. Find the common denominator of c and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 7*p**4\/24 - 2*p**3\/3 + 6*p**2. What is the remainder when w(4) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12729, -12724, -12719, -12714?\nAnswer: -12709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. Suppose -2*d + 10 = t, -4*w = 3*d - 12 - 19. Calculate the highest common divisor of w and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -9*i. Suppose 2*r + 3*t - 8 - 63 = i, -4*t = 2*r - 76. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) -0.2 (d) 2\/229 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -15, -2, -4 in ascending order.\nAnswer: -15, -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670614?\nAnswer: 2, 11, 75937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*r + 15, -7*r + 3*r = -3*a + 15. Let f(h) = h. Let n(t) = -2*t. Let l(c) = -8*f(c) - 3*n(c). Determine l(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 0.2, -6, 2\/3, 0.06 in decreasing order.\nAnswer: 2\/3, 0.2, 0.06, -1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11092731 to three dps.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 81*t - 1. Let b be (1\/(-2))\/((-4)\/(-24)). Let m be o(b). Round m to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + -252391?\nAnswer: -252373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 7440.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 8.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -690*a**3 + 2038*a**2?\nAnswer: -4140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2164 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 411 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253652147?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1324, 2548, 3758, 4948, 6112?\n\"Answer: -l**3 - l**2 + 1234*l + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m - 16, 0 = f - 3*m - 58. Suppose 0 = -23*p + 30*p - f. Solve 26*i - p = 24*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -22, -160, -546, -1306, -2566?\n\"Answer: -21*s**3 + 2*s**2 + 3*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**4 - 591*q**3 - 18048*q**2 - 135884*q - 63504 = 0.\nAnswer: -14, -1\/2, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**3 + 0*t**2 + 2*t**2 + 29*t**3 - 14*t**3 to the form s*t + p*t**2 + b*t**3 + f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -344 in 0.1, -2.2, -0.03, 4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 7 + -14 - -3 - -7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 9*q**2 + 12*q + 19. What is the units digit of z(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-28)\/(-207). Let d = -6\/7 - -19\/14. Which is the third biggest value? (a) d (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3090\/2575*(-5)\/2. Let p = -15\/407 - 2\/37. Which is the nearest to p? (a) -5 (b) s (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 19*m**2 - 211*m - 59. Let f be s(27). Solve 83*o - f*o + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292345 - 2409327?\nAnswer: -2116982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 + 230*j**2 + 191*j + 2784. Give x(-76).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*c + 52. Suppose c = -0*i - 2*i + 1226. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 - 84. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**4 - 3*f**3 + 27*f**2 + 39*f + 18. Let k(j) = -j**2. Let x(a) = g(a) + 6*k(a). Let x(m) = 0. What is m?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u + 102. Let x(t) = -4*t + 51. Let s(q) = -2*a(q) + 5*x(q). What are the prime factors of s(0)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-4\/3)))\/d)\/(d**(-5)\/d) assuming d is positive.\nAnswer: d**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -129 >= -9.892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (5759315\/(-230) - (0 + 3))*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**4 - 9*c**3 - 27*c**2 - 31*c - 12 = 0?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 23 = -5*v + 4, -4*v + 21 = -3*n. Suppose -x = -4*j + 101, -x + 3*x = -2. Let h = j - n. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402550*x + 4*x**2 + 285 - 285.\nAnswer: 4*x**2 + 402550*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 2*z + 2. Let h be j(4). Let f(x) = 0*x + 2 - 2*x - x. Let m = 8562 + -8569. Let l(u) = 3*u - 2. Determine h*l(c) + m*f(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15914701 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 11*z**2 - 4*z + 13. Let f be s(-11). Let q = f - 51. What is the second derivative of 9*c**2 + q*c**2 + 13*c - 2*c + 14*c**2 wrt c?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 682026588?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 743 = 746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*r = -122*r + 28823 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -52084999\/7 at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and -50795.04916?\nAnswer: 50794.99916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0 + 0*g**4 - 5*g + 0*g**2 - 1\/10*g**5 - 5\/2*g**3. What is the second derivative of c(o) wrt o?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7)**(2\/29) assuming s is positive.\nAnswer: s**(14\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878184?\nAnswer: 2, 7, 11, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -824814, 2, 0 in decreasing order.\nAnswer: 2, 0, -824814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 8*i - 21. Determine g(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -255\/2. Let y(f) = f**3 + 2*f**2 - f - 2. Let s be y(-2). Put 7, s, b in decreasing order.\nAnswer: 7, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001111 (base 2) to base 16\nAnswer: 14f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n + 6431 + 12*n - 10*n. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 66. Suppose 6*m**2 + 15*m**2 - 4*m + 6 - q*m - 20*m**2 = 0. What is m?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7*c - 10*c - 237 = 0, -238 = -5*y + 2*c. Suppose 0 = -y*t + 53*t - 2550. Is 51 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46442 is divided by 1408.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 918.1755 days in microseconds?\nAnswer: 79330363200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3452273, -6904551, -10356831, -13809113?\n\"Answer: -a**2 - 3452275*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 2766324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 50*f**2 - 3624*f - 2186. Calculate n(-90).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 563244 (base 8) to base 12\nAnswer: 92030","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -1219*b**5\/120 + 5*b**4\/24 - 13*b**3\/3 - 8. Let v(w) be the third derivative of g(w). Is v(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-216)\/60*(-40)\/48.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*w + 4*w**2 - 173*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 42 = -3*b. Suppose -3*m - a + 15 + b = 0, 3*a = -3*m + 12. Solve -5*p - 2*g - 33 = 0, -p - 4*g - 12 - m = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.49 - -44.49. Let b = q - 40. Put 0, 3, -2\/5, b in ascending order.\nAnswer: -2\/5, 0, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1524.7 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 4. Let p(u) = 7*u + 17. Let r = 176 + -167. Suppose -r*s - s = -20. What is s*p(a) - 9*d(a)?\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 448\/56*9\/(-108). Which is the fifth smallest value? (a) -2 (b) 7 (c) 1 (d) l (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 + 7849*n**3 + 85200*n - 1 wrt n?\nAnswer: -12*n**2 + 47094*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5321, -5317, -5313?\nAnswer: -5309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1\/23, 0.3 in increasing order.\nAnswer: 1\/23, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 3 - (-4 + -14 + 118)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 10001010100?\nAnswer: -10001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u + 36. List the prime factors of g(-10).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7203\/10 - -717. What is the common denominator of a and -41\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Let b be 2 - (j - 0 - -40). Let q = 60 + b. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005547 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 9. Let s = t - -8.999969. What is s rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.3 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b + 10. Let a(v) = 6*v - 1. Let o be a(1). What is the tens digit of u(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-289938)\/(-5313) - (1 + 1 + (62\/(-14) - -3))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486341 + f + 486341 - 972682.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42936298.\nAnswer: 2, 29, 131, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5*k\/(k\/(k*(k\/k**(-3\/5))\/k))*k**(1\/14)\/(k\/k**(1\/2)) assuming k is positive.\nAnswer: k**(216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2 - 32*u - 21. Give i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22110 + 325?\nAnswer: 22435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n + 4. Let d(z) = -5*z + 5. Let h(x) = -3*d(x) + 4*m(x). Suppose g = 6*g. Suppose 2*k + 2*k + 16 = g. Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d - 19. What is the smallest common multiple of 5 and f(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/21586515 or 0?\nAnswer: 1\/21586515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n + 47. Let h be j(-9). Suppose f + 3*f = h*f. Solve 3*r - 6*r = f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308219481 to the nearest integer?\nAnswer: 17556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 22*t + 58*t + 71 - 32 to x*t + j and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34 and 58.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/8 - 705*d**2\/8 - 1419*d\/8 - 711\/8.\nAnswer: 3*(d - 237)*(d + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3)*4)**2*-2.\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 35. What is w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 18782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:55 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*35007.1.\nAnswer: 122524.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*w - 60832 - 3482 + 2511 = -390*w for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*y + 2*y - 2*y)*(0 + 1 - 3) + 0*y + 2*y + 9*y)*(-2 + 0 + 0) to the form w*y + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269330295.\nAnswer: 3, 5, 13, 239, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181 - -1265\/7. Let k be 0 + 1 + 1 + -4. Which is smaller: k or a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/15 + 566*d**4\/15 + 15642*d**3\/5 + 919106*d**2\/15 - 1062736*d\/15 - 129032 = 0. Calculate d.\nAnswer: -127, -30, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 640802623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let a(g) = 482*g**2 + 1127*g**2 - 355*g**2. Determine v(a(s)).\nAnswer: -1254*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 778 + -776. Let r(b) = -2*b - 11. Let z be r(-4). Let w be 21\/(-7) - z\/1. Solve 0 = -w*p + t*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -80. Which is greater: f or -5\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41\/738*16\/142*27\/6.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -130, 96.\nAnswer: -130, 3, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let x(m) = -m**2 - m - 1. Let s(n) = 10 - 18*n + 19*n - 5*n - 3. Let h(w) = v*s(w) + 4*x(w). Find the first derivative of h(u) wrt u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32292375 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32275147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 + 31 + 7*r**2 - 15 - 14.\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 303, -43, 183, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12\/79, -0.1, 0.2, 5?\nAnswer: 12\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from aiaiaiiaaiaiaaai?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 113192\/8 + 3*-1. Let q = o + -707407\/50. Find the common denominator of q and -99\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 - 5*f + 1. Let d(h) = 3*h - 3. Let i be d(3). Let x be k(i). Let -11*y + y**2 + x*y + 4 + 0 = 0. Calculate y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5.3. Let g = -79.921 + 80. Let d = -0.921 - g. What is the nearest to d in s, 0.5, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 673, 1590, 2745, 4138, 5769, 7638, 9745?\n\"Answer: 119*b**2 + 560*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + (0 - -3) - -29026563. Suppose d - l = -4*x + 11773441, 5*d - 51000000 = -5*x. Round x to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 491, 4, -3, -1, -11, -2 in increasing order.\nAnswer: -11, -3, -2, -1, 1, 4, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 269 + -1875\/7. Let w be 2 - 1\/(4 + -1 + 0). Let g = w + -2. Which is the fourth smallest value? (a) -4\/3 (b) g (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 + 60)\/(-3*1\/(-2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(126\/(-8))*(-7)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-168))\/(153\/(123012\/(-201)))?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 1)*-2 + (sqrt(144)*-2)\/sqrt(8) - (sqrt(288)*-3*2 + -3).\nAnswer: 1 + 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 h when three letters picked without replacement from prhpufpfhrppqqufrp.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*2*sqrt(84)*-1)\/(sqrt(63)\/(-6*sqrt(36)\/sqrt(4)) + -3*(sqrt(7) - (sqrt(7) + -2*sqrt(448)))).\nAnswer: 144*sqrt(3)\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + j - 273, 5*s - 2*j + 267 = -3*j. Let p = -179 + 307. Let m = p + s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0.3, 0.12, 1\/8, 4 in ascending order.\nAnswer: 0.08, 0.12, 1\/8, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119*n**3*z**2 + 4*n**3 - 233*n*z**5 + 86*z + 23 wrt z?\nAnswer: -238*n**3 - 4660*n*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 7 = 2*o. What is the highest common divisor of 325 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in -1\/4, -385\/2, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-11 + 10) - (4 - (12 - 16))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263.2 + 263.1996742. What is y rounded to 5 decimal places?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5, -3*h + h - 4*i = 24. Let x = 0.5837 + -0.0837. Which is the nearest to h? (a) x (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f**2*j**3*x - 5*f**2*j**2*x + f*j*x + 12*f*j - 18*j**3*x wrt f.\nAnswer: 58*j**3*x - 10*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 3*w - 6. Let d be l(2). Suppose -17*k + d*k = -86. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(11)*-1)*-4)\/((-2*sqrt(1152))\/sqrt(6)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w - 4*k - 19, 10 = 2*w - 4*k. Let u = 4 + -4. Which is the third biggest value? (a) u (b) 26 (c) w (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2 and -45\/71?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -5 + 9 + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 10369252?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 7*a + 12. Let o be l(-8). Suppose 5*q = -g + o, 26 + 9 = 5*q + 4*g. Let d be ((-5)\/q)\/(2\/6). Let w(c) = c**2 + 7*c + 3. Calculate w(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and 0.350699806964.\nAnswer: 13.350699806964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**4 + 105*a**3 - 366*a**2 + 258*a. Let z(h) = 17*h**4 + 212*h**3 - 733*h**2 + 515*h. Let r(t) = 11*d(t) - 6*z(t). Factor r(f).\nAnswer: -3*f*(f - 2)*(f - 1)*(f + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110446 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-14)\/(-4))\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 2:15 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1383 and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*t + 23 - 71, -b = -4*t + 101. Suppose 67*r - 72*r = -t. Suppose -26 - 24 = -2*d. Calculate the highest common divisor of r and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 232*j - 201. Give f(-39).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1272, 1253, 1244, 1251, 1280, 1337?\nAnswer: 1428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7291883 nanometers?\nAnswer: 0.0007291883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(128) - 6*sqrt(128)*-1) + sqrt(128) + sqrt(128) + 5*-1*sqrt(128)).\nAnswer: 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53325 - 53265.718. Let b = 9.437 - w. Let r = -50 - b. Round r to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2413 and 916.\nAnswer: 2210308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*i - 14 = 0. Solve i*o = -2*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4\/2 + 45843*g**3\/2 - 458097*g**2\/2 - 503943*g\/2 = 0.\nAnswer: -1, 0, 11, 15271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (7 - (-6 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by (-12)\/2*64\/(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-94)\/6 + -1 + 121\/(-363). Sort n, 1, -1 in ascending order.\nAnswer: n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1488, -0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54738535.5 rounded to the nearest one hundred thousand?\nAnswer: 54700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/141 + -437\/1974. Let x be (5\/(-1))\/(10 - 7). What is the biggest value in x, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (60 - 49)) + -1 + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.8 in 2\/11, 0, 3, -8, -1\/4, -983?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 23. What is the third biggest value in 2, m, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -145, -294, -433, -556, -657, -730?\n\"Answer: a**3 - a**2 - 153*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 3. Let k = -1423 + 1416. Determine o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v + 21. Is (-428)\/(-4)*(-3)\/(2 + v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbfbbbfbppbpbfbp. Give prob of sequence bpbp.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1) + 14 + -29 + 36 + (-2 - 21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqllfe. What is prob of sequence ql?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0352 and 0.2.\nAnswer: 0.1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2704.5271 times 2?\nAnswer: -5409.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 15 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*f - 13 + 13)*((f - 3*f + 4*f)*(f**2 + 3*f - 3*f) + 0*f**3 + 2*f**3 + 0*f**3).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50\/3623 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 9. Let j = 111 - 61. Suppose -q + j = 4*q. Calculate the least common multiple of m and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 496. Let i(l) = -2*l + 9. Let j(a) = -a**2 - 14*a + 63. Let z(v) = -14*i(v) + 2*j(v). Determine z(h(r)).\nAnswer: -8*r**2 - 3968*r - 492032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - 2*y**5 + 3*y**2 + (2 - 3 - 4)*(y**5 + y**5 - 4*y**5).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1021*u**2 + u - 1. Let q(o) = -255*o**2. Let g(t) = -2*p(t) - 9*q(t). Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -24 + 104. Suppose t + u = 3*a, -5*a - 5*t = -3*a - 4. Let b be -1 + (-16)\/a*1*-6. What is the highest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 676, 1516, 2692, 4204, 6052?\nAnswer: 8236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 480895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4589 + -2517. Let q be -4 + (-1824 - (-17 + 10)). Let g = l - q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512659*i + 512695*i - 1224 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12746 greater than or equal to 12773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**2 + 4*z - 4*z)*(5 - 42 - 63) + (20 - 20 + 29*z)*(-5*z + z + 2*z) to x*z**2 + i*z + c and give x.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -26*h**2 - 4640*h + 23693184 = 0.\nAnswer: -1048, 11304\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3302, -3301, -3300, -3299, -3298?\n\"Answer: c - 3303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11119\/3 + 3708. Which is the fourth biggest value? (a) 0.012 (b) m (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238? (a) 3 (b) -4 (c) 3\/4 (d) -70 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36712471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-49)\/140)\/7*15\/6.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 116 - 38. Suppose x = -0*a + 2*a + 5*b, 5*b - 9 = -a. Let c(u) = u**2 - 2*u + 5*u - u**3 + a*u - 2*u - 2. Determine c(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-seven fifths of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 68.37. Let n = 0.19088 - g. Let a = n + 0.18. What is a rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3358424220 - 2*m**3 - 3358424220.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 571, 5, -4, 4 in decreasing order.\nAnswer: 571, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i**(1\/10)*i)\/i*i*i))\/(i\/(i**(5\/6)*i*i)*i*i))\/(i**2\/i*i)**(3\/8) assuming i is positive.\nAnswer: i**(-181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 153 = 5*x, 0*x = 3*x + 3. Let r = z - 315. Let y = r - -839\/5. Sort -2\/5, 0.1, y, -1\/2 in increasing order.\nAnswer: -1\/2, -2\/5, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/532180 and -41\/8?\nAnswer: 1064360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.84 - 2.1. Let z = -0.04 + r. What is the closest to 0.1 in z, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 582043?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008062066 rounded to seven dps?\nAnswer: 0.0000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*c - 3 = 0, 4*c - 32 = -2*n - 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + -1 + (15\/(-9) - -2). What is the second smallest value in 1.3, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*a**3)*(-3430*a + 1673*a + 1715*a) - 2*a**4 - 3*a**3 + 3*a**3 to the form y*a + s*a**4 + f*a**3 + r + q*a**2 and give s.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 135 = 405. Let f = 38 - 36. Suppose -f*o = -a + 73, -5*a - 8*o + 7*o = -409. Calculate the greatest common divisor of g and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 13 - 97 = 0. Suppose 0 = -4*k - 2 + r. What is the third derivative of 2*h**2 - 5*h + k*h + 2*h**5 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + 135. Suppose 5*b - p = 0, 3*w + 5*b = 6*w + 7. Solve 15 = -w*c + 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 coocjccj. What is prob of picking 1 c, 1 o, and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3495424*c**2*k**3 + c**2*k**2 + 58*c**2 - c*k**3 - k**3 + 3*k**2 + 42 wrt k.\nAnswer: 20972544*c**2 - 6*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m**2. Let r(k) = 1110*k**2 - 84*k. Let n(v) = 2*v. Let t(p) = -42*n(p) - r(p). Determine t(z(c)).\nAnswer: -54390*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 1. Let m be x(10). Let t = 19\/2 - m. Which is the nearest to t? (a) 0 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b - 12. Suppose y = 2*d + 4 + 16, -72 = -b*y + 3*d. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231212023 - -10?\nAnswer: 231212033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 151885248708.741 and -0.2.\nAnswer: 151885248708.541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w**2 + 4*w - 1\/3*w**3 + 2. Differentiate f(p) wrt p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = 3*p, 0*p - 4*t + 26 = 3*p. Suppose -g = 2*g - p. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.89781684 to 2 decimal places.\nAnswer: 35.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-417)\/297 + 1 - 6\/(-33)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 129. Suppose -58 - i = -5*v. Suppose v = 5*c - 5. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 1005.\nAnswer: 3, 17, 1005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + 9*z - 18. Let w be o(2). Suppose 20*x - w*x + 12 = 0. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154489091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/893898 and 39\/1241525?\nAnswer: 22347450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 44. Suppose -4*d = -3*d. Suppose d = 4*x - 2*x - t. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.1. Let f = 6175\/4 + -1543. What is the second smallest value in p, -4\/7, f, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 225060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218939.883 rounded to the nearest 1000?\nAnswer: 219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 5*l + u - 10, -10 = -5*l + 2*u. Suppose 3 = 5*w - l. Calculate the common denominator of 43\/27 and (-47)\/3 + (-2)\/(-6)*w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-42)*9*(-42)\/36?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -22*k + 71 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfuy when four letters picked without replacement from wyuuyyuywuuuwf?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/408 and -11\/612?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143191654 to the nearest integer?\nAnswer: 11966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10095 is divided by 917.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 4 + 0)*(1 + i - 1) + 2*i - i + i + (-4*i + i + i)*(-19 + 42 + 140))*(2*i**4 - 2*i**4 + i**4).\nAnswer: -322*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 8 - 4)\/(-3). Suppose i = -3*z - 27 + 159. Let g = 78 - z. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**3 - 9 - 30 + 12 - w**3 - 2*w**2 in the form n*w**2 + o + q*w + l*w**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {r: 3, k: 2, u: 3, s: 5}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {z: 12, b: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 6\/5, -2\/309, -3, -2\/13, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(7) - (sqrt(7) + sqrt(252))))\/(sqrt(6) + sqrt(18)\/sqrt(3)*-6).\nAnswer: sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhthhhhctc. What is prob of sequence cc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.331 + 0.061. Let x = s + 3.299. What is the closest to x in -5, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11308715 to 4 decimal places.\nAnswer: 0.1131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271285*t**6 + 28594*t**2 wrt t.\nAnswer: 32554200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1001120110212120 (base 3) to base 16\nAnswer: -e7b451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let c(w) be the second derivative of -3 + 4*w + 0*w**3 + 17\/12*w**4 + 0*w**2. Determine h(c(r)).\nAnswer: -68*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 321604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16829.\nAnswer: 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a - 3*a + a + 7*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*x**3 - 2 + 2.\nAnswer: -288*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*i - 5)*(4*i - 2*i - 8*i - 2)*(10*i - 6*i - 6*i).\nAnswer: 36*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9975, -20196, -30417, -40638, -50859, -61080?\nAnswer: -71301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25771 = -4308*g - 29324 - 248297 - 114330 for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (3 - 11)) + (0 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.18 - -12.91. Let s = c + 4.27. Sort 0.4, 2\/23, s, -0.2 in increasing order.\nAnswer: s, -0.2, 2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772 divided by 63?\nAnswer: -772\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 442, 443?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 244*h**2 - h + 2. Let q be t(1). Let v = 135171\/286 + -5923\/26. Let y = v - q. What is the smallest value in 1\/5, y, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1. Let k(a) = 27*a + 136. Let y(g) = k(g) + 3*s(g). Let m be y(-5). Put m, -4, -2 in decreasing order.\nAnswer: m, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1*2*(-23)\/46\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.2 + 2.2. Let f = -30 + p. Let q = -29.9999945 - f. What is q rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4532 - -21333532?\nAnswer: 21342504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -25236?\nAnswer: -25241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 54*j + 499. Calculate q(-8).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -3, -6.\nAnswer: -6, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41419 - 22689. Suppose 5*v + w - 5630 = 0. What is v rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.39 and -0.31369?\nAnswer: 0.4360291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (32*(-21)\/(-24))\/(432\/(-24))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(17))**2 + 1*sqrt(68).\nAnswer: 2*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7\/8*(-4 + 238\/49)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 163 and 815.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3283 - 3*f**2 + 7*f**2 - 2*f + 1626 + 1727.\nAnswer: 4*f**2 - 2*f + 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -18. Let c be -39*(-3 - w\/(-12)). Suppose 0 = -4*q - q + c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 2*z - 8, -98794 = 5*p + 4*z - 98804 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 4 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 12 = m, -14 = 4*o - 3*o + 3*m. Let n = 411 + -414. Let a(t) = t**3 - t**2 - 2*t - 2. Let i(v) = -2*v**3 + 2*v**2 + 3*v + 3. Give n*a(d) + o*i(d).\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Let q be (-6 - -4) + 0 + 7. Let s = q + h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (-6 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 31703 and 31703 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39761916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9.9, -0.243, 0, -55?\nAnswer: -0.243","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/(-150))\/(11\/110))\/(564\/15).\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -61 and -32210\/519 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/28 and 59\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:08 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3793, 3794, 3795, 3796?\n\"Answer: a + 3792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4 + x + 43*x**3 + x + 5 + x. List the prime factors of a(2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/16192 and 27\/161?\nAnswer: 113344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 - 1. Suppose 0 = 133*x - 131*x + 338. Let c be (-364)\/x + -2 + 0. What is the third smallest value in -2\/25, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 11. Let w(o) = 15*o + 1. Let z be w(3). Let l = i + z. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*k + 86*k - 25 = 0. Suppose k*s = 5*z + 5620, 0 = 2*s + z + 696 - 2935. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1727 - 3451\/2. What is the nearest to f in -5\/4, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -156. Which is the closest to k? (a) 1.3 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 33. Let t = -595\/2 + 297. What is the second biggest value in t, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5203 divided by 31?\nAnswer: 5203\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose 0 = i - c + 38. Let b = -20 - i. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002210 (base 3) in base 16?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-125)*-6*(-5)\/123?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 579045 and 810663.\nAnswer: 4053315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 11684.77064 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -30, -31, -16, 21, 86, 185, 324?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(78)\/sqrt(54) + -4 - (sqrt(13) + -4 + 0 + sqrt(13) + 3 + -2).\nAnswer: -5*sqrt(13)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + f**2 - 15*f\/2 - 18.\nAnswer: (f - 4)*(f + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1751646985 to the nearest integer?\nAnswer: 41853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1133444 (base 6) to base 5.\nAnswer: -3343030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3484 - 3485 = -6964 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 9*n + 10. Let d be -1 + 3 - (-10)\/(-1). Let h be b(d). Let k be (2 + -5)\/(h\/(-82)). Round k to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(3) + sqrt(3))*2 + sqrt(108)*-6).\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*c - 10, -2*c = 4*f + 46. Let y(j) = j**3 + 9*j**2 - 2. Let l be y(f). Let z(m) = -9*m**3 + m**2 - 4*m - 4. What is the units digit of z(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 15 = -3*h, -6*h + 3*d + 10 = -4*h. Suppose -m - 2*b + 6 = 0, 4*m - 5*b + 41 = -0. Let f(x) = x + 4. Let r be f(m). Solve r = 5*j - 0 - h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463679\/180 + 2576. Let m(g) be the third derivative of -s*g**5 + 1\/360*g**6 + 0*g + 2*g**2 + 0 + 0*g**3 - 1\/36*g**4. Find c, given that m(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(119)\/(sqrt(21)\/sqrt(3)))**2 + 2.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 + 199. Which is bigger: -22 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1.302, 0, 109, -7, 0.3.\nAnswer: -7, -1.302, 0, 0.2, 0.3, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -l - 12, -3*l - 8 = 2*l - 2*n. Let a be -1 - l - (-3 + 2). Solve a*q + 5 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35947 (base 13) to base 10.\nAnswer: -98248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(31*c**5 + 10 - 10)*(3 - 5 + 1) - c**4 - 3*c**5 + c**4.\nAnswer: -96*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(1\/6))*m)\/(m*m**(2\/13)\/m))\/(m\/((m\/(m**(-1\/2)\/m))\/m*m)*m)**(-43)*(((m\/m**5)\/m)\/(m*m**(-5\/4)))**(-22) assuming m is positive.\nAnswer: m**(6553\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydd when three letters picked without replacement from {s: 3, y: 6, d: 3, a: 5}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3487, -3494, -3501?\n\"Answer: -7*q - 3480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/15 - 187293152*s\/15 + 4384840598261888\/15 = 0.\nAnswer: 46823288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 30*s**2 - 3*s + 11. Let g be y(-15). Suppose 4*m + v = 7*m - g, -66 = -4*m - 3*v. Solve 4*b - m - 14 = 4*p, 0 = b - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/3*b - 1\/3*b**2 + 1\/3*b**4 + 2\/3*b**3 + 0 = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.974804 litres?\nAnswer: 6974.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44982\/(-1836))\/((3\/(-18))\/((-1)\/(-3)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.585389 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 147.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 154\/166027 or -1?\nAnswer: 154\/166027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3708353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(6)\/sqrt(3)))\/(sqrt(256) - sqrt(256)*2).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 + 274 = -8*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3660606, 7321211, 10981816, 14642421, 18303026, 21963631?\nAnswer: 25624236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-24) - 37\/222. Solve 3*s + z*g = s + 16, -2*g + 19 = 3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3985, -8118, -12249, -16378?\n\"Answer: k**2 - 4136*k + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (284\/355)\/(-7 + (-77)\/35)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 31*j**2 + 43*j**2 + 2*j**3 + 1 - 2*j. Let x be a(-6). Let l be ((-10)\/x - -3) + 4. Let r(t) = t**2 + 3*t - 2. Determine r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v - 25*v + 66*v - 24*v - 660 + 88.\nAnswer: 2*v - 572","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2711, -2743, -2775, -2807, -2839, -2871?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -166*a + 2612. Determine h(15).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*78\/91)\/(1\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -243, -232, -207, -162, -91, 12?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:06 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 16*h**2 + 2296012*h + 6313912 = 0.\nAnswer: -143498, -11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 26, -16, -126, -328, -646, -1104?\nAnswer: -1726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -448, -3749, -12748, -30295, -59240, -102433, -162724?\nAnswer: -242963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2015 + 2020 = 15*x. What is the remainder when 545 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182271 - -796271. Round o to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) 0.4 (c) -0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*(sqrt(228) + -1*sqrt(228) + sqrt(228) - sqrt(228)) - (2*sqrt(228) + sqrt(228))*5))\/((-3*sqrt(48)*-1)\/(sqrt(144)\/sqrt(4))).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 118374*o**2 + 2*o + 3. Let n be a(-3). Suppose 65*z = 537472 + n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 696239.2900444 + -696241.4. Let h = a - -2.11. Round h to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -30. Let h be ((-6)\/(-5))\/(1 + (-17)\/k). Calculate the lowest common multiple of (h\/(-12))\/(2\/(-3)) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 + 2.26. Let u = -2.3 + o. Which is the nearest to 3? (a) 0.2 (b) 0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*h + 1225 = 0, 3*f - 339 = -h + 1505. List the prime factors of f\/25 + (-2)\/(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337478 rounded to the nearest 1000?\nAnswer: 337000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.1. Let j = 0.18 - -0.07. Let c = -1.25 + j. What is the nearest to c in 4, -2\/17, a?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.41 in -1.7, 0.2, -2\/9, -79, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = 5, -4*o - 17 = 3*j. Let a = 3 + j. Suppose m = -a*m. Solve -2*c + 2 + 4 = m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18418 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 15. Let v = a - 6. Let j = -0.9 + 0.5. Is v < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 - 2*v + 1. Let t(r) be the second derivative of 11*r**4\/12 + 3*r**3\/2 - 2*r**2 + 14*r + 7. Determine 9*o(n) + 2*t(n).\nAnswer: -5*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 113 = 4*l, 4*n - 67*l - 34*l + 112*l - 331 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 385776\/702 + 30\/65. Calculate the greatest common divisor of 4250 and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 24 = -4*d, d - 8 - 1 = 2*b. Calculate the common denominator of d + 3\/(66\/(-155)) and -15.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(177450\/169))\/((-3)\/(-72)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40252 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: Solve -7*t - 244 = i - 354, t + 15 - 41 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1322 to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 9. Let p be (-31)\/w + (-2)\/(-11). Suppose q + 3*c = 2*q - 31, 3*q - 33 = -p*c. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -146, -343, -630, -1013, -1498?\n\"Answer: -g**3 - 36*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -34 (c) 5 (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**3 + 3*h**2 + 8*h + 9. What is the thousands digit of r(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206605341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 6*u**2 + 3*u - 4. Let l(o) = -o**3 - 8*o**2 + 9*o - 6. Let x be l(-9). Let z be x\/1 + (-6)\/(-3). What are the prime factors of n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, 4, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 124, 266, 438, 640?\n\"Answer: 15*a**2 + 97*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0154 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w + 21. Let u be o(4). Suppose -5*b - 2*i = -u, b + 9 - 19 = -i. What is the least common multiple of b and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -14800*t**2. Let s = -29 + 19. Let b be q(s). Round b to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Suppose 0 = 5*w + 25, -3*w - 6 = s + 5. What is the first derivative of -2*g - z*g + 2*g + s wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.589 + -0.189. Which is the smallest value? (a) g (b) -0.7 (c) -2\/15 (d) 2\/9 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 + 735*y - 1450 = 0.\nAnswer: 2, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30972 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20536 is divided by 3612.\nAnswer: 2476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 5*x**2 - 7*x - 14. Let u be z(-5). Solve 5*d = -5*i + 20, -5*i = 4*d + 3 - u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b. Let a(z) = -9*z**2 - 8. Let g(m) = 3*m**2 + 3. Let k = 25 - 17. Let x(r) = k*g(r) + 3*a(r). Give x(h(o)).\nAnswer: -243*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0 + -1)**2*-2.\nAnswer: -16 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016866639 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.636 + -0.01\nAnswer: 2.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.3 (c) -1 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1. Let s = -18 + 16. Put 1, s, t in descending order.\nAnswer: 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2 + 58*k - 23. Let q be o(9). Let s(n) = 15*n + 4*n + q*n. Let i(c) = -8*c**2. Determine s(i(f)).\nAnswer: -256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64490?\nAnswer: 2, 5, 6449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from cccnnnccccccnccnncc.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**3 + y**3 + y**3)*(-5*y**2 - y**2 + 18*y**2).\nAnswer: 24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 358*m*n*x - 2*m*x + 2*m - 11*n**3*x + 2*n**2*x - 9657*x wrt n?\nAnswer: 358*m*x - 33*n**2*x + 4*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1642317 * -6\nAnswer: 9853902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 11:30 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.357 - -379.357. Let f = 384 - t. Which is the smallest value? (a) f (b) 1.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/3873 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-18*a - 5*a + 7*a) + (-5*a - 7*a + 5*a)*(-3 + 4 - 2)*(2 + 0 + 1).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*o**4 + 453301*o**2 + 206 - 14*o - 453301*o**2 wrt o.\nAnswer: 16*o**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 41. Let y be j(-19). Let o(p) = p**2 + p. Calculate the remainder when 19 is divided by o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15271 divided by 6\nAnswer: -15271\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3352 - -53655\/16. Suppose -3*w + 3*p = 0, -2*p - 3*p = 3*w + 8. What is the common denominator of g and (-47)\/(-10) + w + -1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 146*i**2 + 3*i + 3. Let x = -22 - -21. Does 12 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 35*l**2 - 2*l + 1. Let b be o(1). Suppose -2*g - 2*u = u - 17, b = 3*g - 4*u. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07287 - 2.92713. Which is the nearest to 0.125? (a) 5 (b) f (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1624 and 13608.\nAnswer: 394632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 2, -29, -98, -217, -398?\n\"Answer: -2*h**3 - h**2 + 12*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(637)*-6)**2.\nAnswer: -91728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01831554 to four dps.\nAnswer: 0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 29*q + 115*q - 30*q + 17 + 90*q + 13*q**3 + 33*q.\nAnswer: 13*q**3 + 179*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - t. Let a be w(0). Let s = -4 + 8. Suppose -2*d - 2*d - s = 0. Do d and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25*(-44)\/(-2310))\/(-6*(-1)\/(-14)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -856*f**3*s**3 + 336*f**3*s + 7603*f*s**2 - 4*s**3 wrt f?\nAnswer: -5136*f*s**3 + 2016*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -4, -3, 5\/549, 3\/5, 2\/15.\nAnswer: -52, -4, -3, 5\/549, 2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*sqrt(5) + (sqrt(5) - (sqrt(15)\/sqrt(3)*-1)**2) - (5 + sqrt(125)*1*-3).\nAnswer: -10 + 46*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 23*z**6\/360 + 7*z**4\/12 - 4*z**3\/3 + 3. Let s(x) be the third derivative of f(x). Differentiate s(o) with respect to o.\nAnswer: 46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 6*a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 7*q + 15. Let i(l) = 4*l**3 + 7*l**2 - 5*l + 9. Let b(k) = -k**3 - k**2 + 2*k - 1. Let z(t) = 5*b(t) + i(t). Is 6 a factor of z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-4)*(-6)\/4. What is the lowest common multiple of 4\/8 - (-19)\/2 and 92\/8 - n\/(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 15*v - 12*v - 7, 3*f = 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002433252 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 248 = -3*m. Let z be m\/9*2\/4. Suppose 0*d - d = -3*v - 8, 0 = 3*v - 4*d + 23. Sort -3, v, z in increasing order.\nAnswer: z, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.461791m to millimeters.\nAnswer: 2461.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 - 2. Let c be g(-5). Let h be (c\/5)\/((-5)\/75). What is the third derivative of 13*k**h - 19*k**6 - 3*k**2 + k**5 - k**5 wrt k?\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a**3 + 56*a**2 + 142*a - 99. Let r(c) = -19*c**3 + 84*c**2 + 214*c - 148. Let o(d) = -5*r(d) + 8*s(d). Is o(23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5)\/w)\/((w**(-1\/12)*w)\/w) assuming w is positive.\nAnswer: w**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, i: 3, o: 1}. Give prob of sequence oii.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -185254809266145 and -4?\nAnswer: 185254809266141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059684001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 - 9*u - 6. Let k be a(8). Let n = 15 + k. Let c be 2\/(-12*(-10)\/75). Which is bigger: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91027934.\nAnswer: 2, 73, 151, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-87 - -36) + 56?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.006936 grams in micrograms?\nAnswer: 7006936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2 + 6*b - 2*b.\nAnswer: 4*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73 - -70) + (2 - 2 - (10 + 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2964?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795, 1588, 2381, 3174, 3967?\nAnswer: 4760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*t**4*v + 15*t**3*v + 2*t**3 - 756*t*v - 2*t wrt t?\nAnswer: 252*t**2*v + 90*t*v + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 3*k + 0*k - 3 + 3 + 2*k + (0 + 1 - 2)*(0*k - 2*k + 3*k) - 8 + 2*k + 8 to the form d + u*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:00 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 1371*l + 2730 = 0.\nAnswer: -455, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*w - 202*w - 10421 + 1601 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/15)\/((-10)\/15) - -5. Let h(f) = -3*f**2 - 2*f + 2. Let x be h(2). Sort 1, r, x in increasing order.\nAnswer: x, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*l + 3*y = -435*l - 22, 4*y = -4*l - 12*l - 176 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-47 - (-11 - -8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*t - 820 = 0, 4*o + 1374 = 9*o + 3*t. Which is smaller: o or 280?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17149\/168 + 716\/7. Let m = -1\/24 + n. Put -0.4, -4, m in descending order.\nAnswer: m, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcr. What is prob of sequence wr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*c = 5*n + 22, 0 = 4*c + n - 22. Suppose -2*r + c = -2. Suppose 0 = 2*g + 2*g - 44. Sort 3, r, g.\nAnswer: 3, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9168*i = -9173*i - 4*j - 18, 3*i = 3*j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -151. Suppose t + z = 3*q, q + 15 = 3*t + 2. Solve -v = -k - 2 - 6, 2*v = t*k + 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 769*z**3 - 4*z**2 - 2. Let v(a) = 1538*a**3 - 10*a**2 - 5. What is 5*l(r) - 2*v(r)?\nAnswer: 769*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.8, 0.01, 2\/11, -3 in descending order.\nAnswer: 2\/11, 0.01, -2.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - t**4 - 8 + 0*t**4 + t**2 - t**4 as y*t + w*t**4 + o*t**2 + d*t**3 + j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0016564495 rounded to 7 decimal places?\nAnswer: 0.0016564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*q - 36*q - 21*q.\nAnswer: 143*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -30*s**2 + 7025*s. Let r(t) = -2*t**2. Give l(r(b)).\nAnswer: -120*b**4 - 14050*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 174144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 61 = 58 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 6*c**2 + c - 4. Let a be d(6). Suppose 2*v + a*t - t - 34 = 0, v - 20 = t. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32211 (base 4) to base 14.\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + 886. Let o = q - 630. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.044 + 217.664. Round h to zero dps.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 - 4.07. Let q = -1.9871 - 0.0129. Sort p, -0.4, q.\nAnswer: p, q, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**3 - 86384*n**2 - 148136*n + 49376.\nAnswer: 2*(n - 6172)*(n + 2)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940 is divided by 44?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 9*r**2 + r + 6. Let w be t(-6). Suppose -10540 = 4*n - w. Round n to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**5\/3 - 231385*x**4\/3 - 13384638859*x**3\/3 + 13385795789*x**2\/3 + 53538555452*x\/3 - 53539480996\/3 = 0.\nAnswer: -115693, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-1183))\/((-36)\/(-195)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1270 and 48514.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -23*n + 18*n + 2690, -2*n + 1084 = 2*j. Is 2 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 4*s - 12. Let y(k) = -3*k**2 + 3*k - 11. Let w(m) = 3*g(m) - 4*y(m). Find the first derivative of w(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 242*f**3 - 1246*f**2 - 1758*f - 756.\nAnswer: 2*(f - 126)*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 15*s + 3*v + 23, 4 = s - 4*v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16252502.\nAnswer: 2, 7, 1160893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wnnwnnisbniwnbinww. What is prob of sequence wwn?\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.01 + 20.8. Let b = h + 0.21. What is the second biggest value in 10, 3\/4, -2, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, -19\/5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -222445515 + 15?\nAnswer: -222445500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1758d4 (base 16) to base 12.\nAnswer: 619558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/((-15778)\/138)*((-20)\/12 + 2)\/(-7)?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qul when three letters picked without replacement from {u: 2, q: 1, p: 4, l: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let i(r) = -r**2 - r. Let o(c) = 2*c**2 + 3*c - 522. Let a(t) = -3*i(t) - o(t). Calculate a(k(b)).\nAnswer: 4*b**2 + 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167 (base 12) to base 4.\nAnswer: 3133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 40*n**2 + 7*n - 8. Let f(d) = 80*d**2 + 13*d - 15. Give -6*f(q) + 11*k(q).\nAnswer: -40*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 9. Calculate q(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:42 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + t + 7, 3 = m - 3*t - 10. Suppose 335 = m*w - k, w - 5*k + 6*k - 85 = 0. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -5 (b) 7.421 (c) -0.2 (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -62*j + 5. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1992 and 111380273?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 2036*x - 518162.\nAnswer: -2*(x + 509)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 11*k**2 - k. Let p be s(-1). Let o be (10\/p - 15\/(-90)) + 8. Solve 0*j + j - 2*c = -o, -5*c = -2*j - 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-75)\/10*8\/(-5). What is the remainder when 86 is divided by (80\/m)\/(-1 - (-5)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g + 12. Let x be 34\/2 - (-1 + g). Suppose 4*k - 9 = -q + 2*q, -q = -5*k + x. What is the least common multiple of q and 19?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2819136 divided by -6?\nAnswer: 469856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = n + 3*m, 7*n - 2*n + 4*m - 168 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1657, 1673, 1679, 1669, 1637, 1577, 1483?\n\"Answer: -k**3 + k**2 + 20*k + 1637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92917, 371656, 836221, 1486612?\n\"Answer: 92913*n**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*d**2 + 9*d - 13?\nAnswer: -196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c - 3292 + 10858. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11912 + -1?\nAnswer: 11911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:49 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -94728971?\nAnswer: 94728968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1377 is divided by 300?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 4 (b) -1\/4 (c) -1 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61898476.\nAnswer: 2, 1223, 12653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 31. Let o(m) = 12*m - 57. Let c(n) = 3*j(n) - 2*o(n). Let t(x) = 2*x + 5. Give 6*c(v) - 26*t(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -920*w**5 - 252*w**3 - 141*w**2 - 64*w**4 + 256*w + 916*w**5 + 205*w**2 = 0.\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -3309, -7637, -13685, -21447?\nAnswer: -30917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5023 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 2. Let w = y - 6. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 20 = 0, -2*v = 4*a + 10. Let n be a\/(1 - 0)*1. Let b(l) = l**3 - 4*l**2 + 4*l - 4. Let r be b(4). Solve n = 4*m - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -2*v - 6, -2*y - 5*v = -6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.1 - 17.1. Which is the third biggest value? (a) f (b) 14 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/l**(1\/28))\/l*l*l))**(-1\/10) assuming l is positive.\nAnswer: l**(27\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -109*l**4 - 12*l**3 + l - 6403.\nAnswer: -1308*l**2 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, m: 1, v: 2}. What is prob of sequence vmf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5148 a factor of 244910952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 27. Suppose -v = l - f - 5, -4 = 2*l - 5*v. Suppose 2*x = 3*x - 4*n - 591, l*x = -3*n + 1743. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2 - 17, -y = b - 74. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2768 - 801 - 4581 = -3910*t + 3747*t for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by 67?\nAnswer: -58\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141.629 + 142. What is d rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/37)\/((w**(23\/2)\/w)\/w)*w**(-11)*w\/(w*w*w\/w**(9\/7)) assuming w is positive.\nAnswer: w**(-11031\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 4*i**2 - i + 2. Let w be u(-3). Let v be 7\/(-252)*-8*(1 + -4). Which is the nearest to 1? (a) w (b) v (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.7. Let z be (-3 - -2)\/(44\/(-8)). Let q = 1.096601 - 0.096601. Which is the second biggest value? (a) 17 (b) v (c) q (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1083 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 2 - 6 - (-11 - -10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - (-11 - -2)) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/480*(18 + -22)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/20 and -115\/744.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521865254?\nAnswer: 2, 3, 7, 13, 2787299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -358\/21 - -52\/3. Let w = 20 - 16. Suppose o = -w*v + 17, 4*o + 3*v - 1 = 2. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -611 - -606. List the prime factors of (-15 - 3\/1)\/(u\/25).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2643200 divided by 15104.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 47*s - 1. Suppose -2*m - 6 = -18. Let f(z) = -z**2 - 6*z**2 + 0*z**2 + m*z**2. Determine a(f(q)).\nAnswer: -47*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand m + 1 - 1 + (2 + 0 - 4)*(-2*m + 0 + 0) + 13*m - 28*m - 11*m.\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -57*z**2. Let s(x) = 4*x**2. Let m(l) = -o(l) - 15*s(l). Let q(b) = 140*b**2. What is q(m(n))?\nAnswer: 1260*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let j(o) = -4*o - 1. Suppose a = 5*i - i, a = 0. Let v(m) = m**3 - 5*m**2 + 3. Let t be v(5). Suppose t*x + x + 4 = i. Give x*j(h) + 6*k(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*g = -17, 0 = -3*g - g - 20. Let f be (b - 1)*1\/(-3). Solve -u + 3*u + 8 = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 - 142. Let n be 2\/4*(-4 - a\/66). Sort -2\/13, n, 2, 2\/11 in decreasing order.\nAnswer: 2, 2\/11, -2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8506 - -1.0506. Put 5, x, -5, -22 in descending order.\nAnswer: 5, x, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -384. Let m = 162 + d. What is the remainder when m is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*h - 1101 = 2511 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3 - 1 = 0, 0 = -5*s + 5*u + 300. Let k be 2*(867\/(-42) - (-2)\/14). Let x = k + s. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1715, 1723, 1731, 1739, 1747?\nAnswer: 1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.105616 + 16.5.\nAnswer: 16.605616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286919326.\nAnswer: 2, 67, 2141189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/492 and -37\/30024.\nAnswer: 1230984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1374 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 40, 5.\nAnswer: 0, 5, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 286, 361, 438, 517, 598, 681?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (2 - (-44 + 53))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v - 343639 - 11*v + 343639.\nAnswer: -39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*3 - (-6 + 6). Solve -4*j - c = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzuzzzuzzuzzzzzz. What is prob of sequence zzuz?\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {t: 2, m: 3, p: 10, i: 1, u: 1, y: 2}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b - 851. Let q(u) = -7*u + 4. Let r(l) = 5*q(l) + v(l). Find the first derivative of r(j) wrt j.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (9 - 9)) + -2 + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -28*s + 1. Let n be k(1). Let d = 1.096 + -1.396. What is the nearest to n in d, 0.3, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**4\/6 - v**2\/2 + 2*v. Let w(n) be the first derivative of d(n). Let o(i) = i**2. What is w(o(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -0.2 (c) -5 (d) 2 (e) -2\/3561 (f) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449031.\nAnswer: 37, 39163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 1212*m**3 + 36256*m**2 + 204048*m + 253440 = 0 for m.\nAnswer: -330, -3, -2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.514 - -0.031. Round a to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7977 is divided by 189.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 5*m - 4. Let n(t) = -t**3 - 4*t**2 - t + 2. Let k be n(-3). Let j be x(k). Let l = -10 - j. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*v**3 + v)*(-4*v - 3*v + 4*v)*(v + 0*v + v).\nAnswer: 12*v**5 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 51*x - 7. Does 50 divide h(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*n - 3*n = -3, -2*y - 2*n = -6. Suppose 5*l - 40 = -35*b + 40*b, l + 7 = -4*b. Solve y = l*q - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4588.08 grams?\nAnswer: 4588080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -3*z**2 - 1\/120*z**6 + 0*z - 5\/24*z**4 - 1\/10*z**5 + 1\/3*z**3 + 0. Is 2 a factor of n(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 258, -1\/6, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -4, 10\/7, -0.2?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -641000 rounded to the nearest 10000?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(36\/6))\/((-18)\/(-387)*(-7)\/14).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**3*p**4 + 8584*g**3*p**3 - 24*g**3*p**2 + 3*g**3 - p**2 + 3*p wrt p.\nAnswer: 24*g**3*p + 51504*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3913 and -28\/423?\nAnswer: 1655199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244144440 - 30?\nAnswer: -244200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 23*u - 931 = 0. Suppose 5*i = u - 54. What is the closest to i in -3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*x**2 + 106*x**2 + 81*x**2 as k*x + g + h*x**2 and give h.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 2:13 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 302559*b.\nAnswer: -3*b*(b + 100853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.28 from -19754333.1826.\nAnswer: -19754332.9026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 820691865 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-8)*(1372\/(-21))\/7)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 590? (a) -3 (b) 1.1 (c) 2.283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 2, n: 2, a: 2, x: 4, h: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqz when three letters picked without replacement from fofaqfzafo.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -o, 2*g + 0*g + 8 = 0. Suppose -j - o = -40. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -309, -302, -295, -288, -281, -274?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 33. Let r(t) = -3*t - 65. Suppose -76*v + 72*v = -3*j - 29, 0 = -5*j - 35. What is v*r(i) + 5*l(i)?\nAnswer: -i + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 3. Let h(n) = -4*n - 13. Let j(i) = -9*f(i) - 2*h(i). Let c be j(-4). Let g = 2 + -1. Sort g, c, -3 in decreasing order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 167, 545, 1169, 2033, 3131, 4457, 6005, 7769?\n\"Answer: -a**3 + 129*a**2 - 2*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p + 0 - 1\/360*p**6 + 1\/72*p**4 + 1\/18*p**3 - 1\/180*p**5 - 11*p**2. Factor t(y).\nAnswer: -(y - 1)*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + t - 16723, 5*u + 20869 = -5*t + 62664. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30926\/(-1974) - (-32)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -30c?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -333702*v**3 - 362056*v**2?\nAnswer: -2002212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 2\/7, 12798, -1, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 934\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 53541522234?\nAnswer: 53541522232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -624 - -882. Let j = -260 + l. Which is bigger: -37\/15 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*x + 126, 0 = 2*s - 5*s + 4*x + 126. Let l be (8\/s)\/((-20)\/6). Let p = -1 + 0. Are p and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 9:28 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/140*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m - 15. Suppose 2*i + 0*i + 4*v - 16 = 0, -2*i - m*v = -11. Which is smaller: 3\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 3*r + 4. What is w(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -859663376 divided by -546512\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {q: 5, o: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24462.533 rounded to the nearest 10?\nAnswer: -24460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18*-0.261\nAnswer: 4.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -67971 (base 10) in base 11?\nAnswer: -47082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3397 + -54407\/16. Calculate the common denominator of 93\/20 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927.3 smaller than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w**2 + 1. Let b(v) = -2*v. What is k(b(i))?\nAnswer: 52*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(132)*2)\/sqrt(3) + sqrt(88)\/sqrt(50))\/(sqrt(48)\/(sqrt(1452) + (sqrt(1452) - (sqrt(1452)*3 + sqrt(1452))))))**2.\nAnswer: 644154\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-3) - -5) + -7. Let n be (2 - (c + 4))*(0 - -1). Let a be (5\/n - 5) + 19. What is the highest common factor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 4 (b) -0.3 (c) 0.48 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 8*t**2 - 8*t - 3. Let d(v) = 2 - v + 0*v + 11. Let p be d(6). What is b(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425814525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 561890 divided by -561890\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4 = q, -15 - 5 = -5*q + 5*g. Find the common denominator of -55\/56 and (q - 3157\/882) + (-6)\/21.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -23*m**7\/105 + 46*m**3 - 250*m**2. What is the derivative of p(g) wrt g?\nAnswer: -184*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o - 5*o + 6*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 4757400.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 94083.286 to the nearest 1000.\nAnswer: 94000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*k - 10 = 0, 0 = -5*k + k - 4. Solve o*j = 3*j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/9 + 2033*o**4\/9 - 1032253*o**3\/9 - 115373*o**2 + 229842*o = 0. What is o?\nAnswer: -2, 0, 1, 1017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 174508337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/19? (a) 1 (b) -0.03 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let d be y(3). Suppose -d*o = -6 + 2. Suppose -4*c + 28 = -5*r, -3*c = -3*r + o*r - 10. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 2. Let m(n) = 7*n**2 + 6*n + 7. Let r(h) = -m(h) + 6*q(h). Let g be 0 + 0 + -8 + 1. Determine r(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 8330355.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, i: 3, h: 7, g: 1}. What is prob of picking 1 h and 1 v?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**4*o + i**4 - 27*i**3*o**2 + 59*i**2*o**2 + 2*i**2*o wrt i?\nAnswer: 240*i*o + 24*i - 162*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3 + 1\/3*a**2 - 1\/3*a.\nAnswer: (a - 2)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 51, -2\/13, -410, 0, 2\/181?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30*d + 4786?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 11:38 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33511 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m + 6. Let h = m - -4. Calculate the lowest common multiple of 8 and 1 + (1 - (-3 - h)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) - (-2737)\/(-35). Let k be v\/30 - (-3)\/5. What is the common denominator of 1\/k*510\/24 and 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuu. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 176.33 + -175.83. Let r = 12 + -17. What is the fourth biggest value in q, 11, r, -2\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-408)\/884)\/((-42)\/39).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*w**2 - 2*w**3 + 3*w**2 + 0*w**3 wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8*(-4)\/3. Let w be (65\/(-70) - -1)\/((-18)\/(-22 + -50)). What is the closest to w in -1\/4, 2, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 10 - 141*u**4 - 515*u**4 + 10 - 335*u**2 wrt u?\nAnswer: -15744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7549 - -7561. Is 2 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17866 - -17855. What is the closest to -0.2 in -4, q, 96?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - u + 9 = 3, 4*j - 26 = 5*u. What is the derivative of -47080*c + 47080*c - 17*c**3 - 8*c**j + 120 wrt c?\nAnswer: -32*c**3 - 51*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 32 = -4*i, -5*i + d = -6 - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 32*m + 62. What is j(-34)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*h - h + 288 = 0, 237 = 4*i - 3*h. Let k be i\/15 + (-12)\/15. Is 3 a factor of 7 - ((-6)\/k - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - -6) + 1182 + -1312.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269374 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (30 - 21) + -96\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -41288 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, h: 2}. Give prob of sequence hah.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = -11*l + 8*l, -5*k - 10 = 0. Let q be (l\/(-4))\/((-5)\/((-80)\/276)). Which is bigger: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 2581.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2 - 5*i - 4. Let q(y) = y + 1. Let z = 38 - 39. Give z*o(f) - 6*q(f).\nAnswer: 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 256234, 512463, 768692, 1024921, 1281150, 1537379?\nAnswer: 1793608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 31)*21\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 2. Let g(v) = -2*v - 1. Determine -4*g(p) + 3*y(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(1053) - sqrt(1053)) + -1 + 0 + ((sqrt(1573) - (0 + (sqrt(1573)*-1 - sqrt(1573)))) + (sqrt(1573)*3 + sqrt(1573))*-1)**2.\nAnswer: -27*sqrt(13) + 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(((-24)\/(-28))\/(-3)). Differentiate -25 + 7 - 3*b**3 + a wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81940.46 grams in tonnes?\nAnswer: 0.08194046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**20*h**(-27)\/h*h)**(3\/10) assuming h is positive.\nAnswer: h**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**2 - 2*p**4 + 2*p**4 + 0*p**5 - 11*p**5 wrt p.\nAnswer: -660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4881?\nAnswer: 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7053*4\/(-3522) + 8. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-127 + 111 - (0 - 9)) + (15 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*f - 615*f + 806 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.5 (b) -0.11 (c) 1 (d) -4 (e) 2\/13 (f) 6122.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.843, -3, 1\/11, 1, 2 in decreasing order.\nAnswer: 2, 1, 1\/11, -0.843, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 341096 and -1758711?\nAnswer: 2099807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 720 by 2446.\nAnswer: 360\/1223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194579 is divided by 597.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069 - 604142247.\nAnswer: -604142246.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1153, -1092, -991, -850, -669?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 10. Let h(i) = 4*i**2 - 4*i + 51. What is h(l) - 5*v(l)?\nAnswer: -l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 0*g**2 - 8*g**3)*((-1 + 4 - 2)*(5 - 5 - 2*g**2) + 0 + 0 - 2*g**2 - 2*g + 2*g + 3*g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*p**3 + 133*p**3 + 277*p**3 - 71*p**3 - 70*p**3.\nAnswer: 410*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-12)\/32*-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(48)*1*-4)**2 - ((sqrt(1200) - (sqrt(1200) - (sqrt(1200) + 0)*-2)) + sqrt(1200))**2.\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2002 and 1887522.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186.32 - 184.88. Which is the third biggest value? (a) -0.5 (b) -0.1 (c) z (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*y - 17. Is 14\/(-49) + 662\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 + -3.5. Let l = m + -0.1. Let o = l - 6. Which is the nearest to 1? (a) 1\/2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3346764.\nAnswer: 2, 3, 151, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3143 - -4?\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582423 is divided by 194103?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 74*q**2 - 576*q + 30793. Give r(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3614 and 103142?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 9:11 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lallllalaal. What is prob of sequence ll?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 9\/31 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55486\/3 + -18496. Which is the second smallest value? (a) -2\/21 (b) -5\/2 (c) p (d) -450 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97368?\nAnswer: 2, 3, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 75*o - 77*o - 4.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 129*d**2 + 3 + 11*d + 120*d**2 - 250*d**2 + 4*d**4 in the form g*d**3 + j*d + h + c*d**4 + s*d**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -635 * 13838.\nAnswer: -8787130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 721 and 40376?\nAnswer: 40376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 15*f + 78. Let b be a(-19). Factor -56 + 3986*i - 3978*i - 2*i**3 + 8*i**b - i**2 - i**2 + 8*i**2.\nAnswer: -2*(i - 7)*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85804 + -28588. What are the prime factors of b?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + v**3 + 1)*(0 - 3 + 5) + (0*v**2 + 4*v**2 - 5*v**2)*(-3 + 3 - 3*v) + 1 - 1 + 2*v**3 + 7*v**3 - 37 + 37.\nAnswer: 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 901.3 times 0.0749\nAnswer: 67.50737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 990880 and 220.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 0*x**3 - 1\/672*x**8 - 7\/120*x**5 + 0*x - 123*x**2 - 1\/48*x**6 + 1\/8*x**4 + 1 + 1\/60*x**7. Find r such that z(r) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 + 8. Suppose 0 = 3*f + 2*b - 0*b - 22, -4*f = -5*b + 9. Suppose 3*m + 46 = 3*p + 7*m, -p + f*m = -42. What is the remainder when a is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = -4*t + 12, 4*t - 2 = -2*n. Sort n, -9, -5, 1 in decreasing order.\nAnswer: 1, n, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*v - 9 - 3\/4*v**3 + 3\/4*v**2.\nAnswer: -3*(v - 2)**2*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(((c*c**0\/c)\/c)\/c))\/c))**37\/(c**(12\/7)\/c*c*c**(1\/3)) assuming c is positive.\nAnswer: c**(-820\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263\/116 less than 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1. Let g(r) = -r - 1. Let o(t) = g(t) + 3*w(t). Let u(l) = 2*l - 3. Calculate -10*o(c) - 6*u(c).\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/30 - 4*p**4\/9 + 65*p**3\/9 - 25*p - 134. Factor f(o).\nAnswer: -2*o*(o - 5)*(o + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 + 109*p - 1079. Give i(-63).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alaaaaaaaaallaaggaaa. What is prob of sequence lgg?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 269 = z, 2*z = -2*d + 4*d - 132. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-20) + ((-1285)\/(-100) - 12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 7*d + 4. Suppose 71*k = 60*k + 44. Let b(u) = -5*u**2 - 6*u - 3. Determine k*y(s) + 5*b(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 519345?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 703 = 21847. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Suppose -6 = s*u, k - u + 28 = -113. Let q = 200 + k. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, o: 2, s: 1, m: 1, w: 1, f: 3}. Give prob of sequence sfm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 55, 5, -5, 2\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 161675731?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 280, -4, -8, 0.51 in descending order.\nAnswer: 280, 5, 0.51, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32520 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18734*k**2 - 14135?\nAnswer: 37468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267093 and 8496.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2, 139, -14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/12)\/(2\/(-87)). Let l = 9 + f. What is the remainder when l is divided by 2 + (-24)\/(-2) + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - ((-18 - -20) + (0 - 5)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - g - 91 = 0, -3*y = -0*y + 3*g - 141. Let s = y - -14. Let p = s - 24. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/5 - 688*c\/5 - 59168\/5 = 0.\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((11 - 22) + 5)*(-12)\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yffmmh. Give prob of sequence mfm.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 0.2118\nAnswer: -0.27534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + 5. Let x = 629 - 626. Suppose 3*m + 5*y = j + 14, x*y = m - 13. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*b - 2 - 2, -5*m - 3*b = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 + 4*o**2 - o - 1. Let a(f) = 20*f**3 - 11*f**2 + 3*f + 3. Calculate 3*a(g) + 8*x(g).\nAnswer: 4*g**3 - g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*g + 636, -27*g - 416 = -2*h - 31*g. Solve 33*v = -50 - h for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3344 and 35\/304.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -100 - -115. Suppose -j*o + 8*o = 77. Let c(w) = w + 15. What is c(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 899 + 2491 = 0. Suppose -129 = -8*w + y. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -18. Solve 3*p + 2*u = 4, -f*p + 6 - 14 = -4*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*(-28)\/(-1064)*-37.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 1144. Let a(j) = -j**2. Calculate a(o(v)).\nAnswer: -4*v**2 + 4576*v - 1308736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p + 6. Suppose 4*x = -3*s - 0 + 32, -2*s - 3*x = -23. Let a be (-112)\/(-20) + s\/10. Let o(b) = -19*b + 13. Give a*o(r) - 13*k(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374*0.5.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d + 3*d - 3 + 2*d. Let b(g) be the third derivative of g**5\/30 - 9*g**2. Give q(b(z)).\nAnswer: -4*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - 2*g)*(-5298*g + 5426*g - 6933*g - 438*g).\nAnswer: -14486*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-505)\/400*4 and -89\/970?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let h be ((-135)\/6)\/((-3)\/t). Suppose -114 = -x - h. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 23*g**2 + 64. What is o(12)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06609 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11532124 to the power of 1\/2, to the nearest integer?\nAnswer: 3396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*k, -5*k - g = 4*g + 5. Suppose k*j + j + 2*f = -36, 5*j = f - 60. Let c(w) = -w - 10. Give c(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*(z\/(((z**3\/z*z)\/z)\/z))\/z))**(-1\/26)*z**(-3)*z*z**(-1\/8)*z assuming z is positive.\nAnswer: z**(-121\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1147646.06 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 8. Let s be x\/1*(-3)\/(-12). Which is the closest to 0.2? (a) 5 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -505 less than -502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1523 (base 8) in base 15?\nAnswer: -3bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28257 - -47847. What are the prime factors of a?\nAnswer: 2, 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 48, 110, 196?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 113 - 257 = 0. Let j be -2*3\/6*-2. Let x be -15*(j + (-64)\/20). What is the highest common divisor of s and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77720 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -14. Is 17 a factor of 0 + 50 - (z - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 5*w**2 + 3*w. Let c = 243 + -471. Let x = 229 + c. Let f(j) = -4*j - 1. Let b be f(1). Let q(h) = h**2 + h. Give b*q(l) + x*n(l).\nAnswer: 3*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31 - 20 + 14)*(-925*x**2 - 3 + 927*x**2 + 3 - 84*x) to the form j*x**2 + n*x + g and give j.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o + 14. Let s = 6 + -14. Let u be f(s). What is the common denominator of (282\/(-135))\/(u\/(-25)) and 43\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p + 55. Let j be g(13). Which is the third smallest value? (a) -5 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8199 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 57\/(-190)*-2*(-30)\/(-9). Let m(w) be the first derivative of 38 + 4*w**5 - 4*w**q + 4\/3*w**3 + 8*w**4 + 0*w. What is x in m(x) = 0?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**5 - 10*q**4 + 36*q**3 - 58*q**2 + 43*q - 12 = 0. What is q?\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4594.332902 rounded to the nearest one hundred?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2863, 5765, 8661, 11551?\nAnswer: 14435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w = -50*w + 32. Let t be (18\/w)\/((-72)\/(-12)). Which is the third smallest value? (a) -0.1 (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 116 = -3*o. Let n be (-248)\/(-14) + 2\/7. Let y = -8 + n. What is the remainder when o is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1842.94 days in microseconds?\nAnswer: 159230016000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10812 + -10244.3. Let t = -540 + g. Let f = t - 28. Which is the nearest to 1? (a) -2\/5 (b) -0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 41 = 3*l - 5*l, 3*l + 4*q - 51 = 0. Suppose 0 = -5*k + 4*m + 41, -2*m - 4 = 4. Calculate the remainder when l is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/((-2)\/(-20)). Let x be k\/18 - 34\/(-9). Solve u = -0*u - 2*o + 3, -o = -x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56.9 - 60. Let b = 3 + h. Let j be (-1 - (-3)\/6)*26\/39. Which is smaller: j or b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c*c\/(c*c**2)))*(c\/((c*c**(-3\/5))\/c))\/c)**(-4\/3)\/((c*c**0\/c*c*c**(-2\/9)*c)\/(c**1)**11) assuming c is positive.\nAnswer: c**(379\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 64, 101, 138, 175?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 31. Solve -y - d = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27253 (base 14) to base 8.\nAnswer: -274371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 43224*q**2\/5 + 43214*q.\nAnswer: 2*q*(q - 21607)*(q - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/4))**(42\/11) assuming u is positive.\nAnswer: u**(21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002613414472 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f - 1. Let r be c(1). Solve 0 = -r*u + 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347076 is divided by 23138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6379103965.\nAnswer: 5, 13, 43, 631, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r**2 - 23*r + 50*r - 16*r)*(0*r**2 + 6*r**2 - 3*r**2) as w*r**3 + i*r**4 + d*r**2 + u*r + n and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 1\/3*l**3 + 0*l**5 + 0*l**6 + 0*l + 0 - 3\/70*l**7 + 9*l**2 + 0*l**4. Differentiate q(o) with respect to o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**5\/2 - 21*t**4\/2 + 35*t**3\/2 + 65*t**2\/2 - 78*t + 38 = 0. Calculate t.\nAnswer: -2, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000151878 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -66, -102, -162, -252, -378, -546?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 16*s**2 + 14*s + 19. Let n be v(15). Solve 0 = 5*y + n + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -77, -123, -169, -215?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -16*d**2 + 155924*d + 936118. Give r(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413*x - 377*x = 0. Solve x = 5*k + 3*u - 25, 39 = 2*u + 29 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-5))\/l)\/l*l\/((l**(2\/23)*l*l)\/l))**(4\/7)*(l*l*l\/(l*l\/l**(-2\/5)*l*l)*l**(-2)*l)\/(l**(-7)\/(l\/l**(-3\/2))) assuming l is positive.\nAnswer: l**(15031\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*o**4 - o**4 + 6*o + 0*o**4 wrt o?\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2132602 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rddx when four letters picked without replacement from {d: 4, r: 1, s: 2, w: 3, f: 2, x: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1166 - 1171. What is the third smallest value in 126, -0.1, l?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**2\/2 - 3*t - 1. Let l be -11*-2*(-3)\/(-6). Let i = 8 - l. Calculate h(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/6))**(15\/4)*(v\/v**(-2\/29))\/(v**(2\/3)\/v))**(2\/57) assuming v is positive.\nAnswer: v**(1411\/19836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -1) + 1 + -7. Let k = 6 + p. Solve -4*t + 0*t - k*a = -10, -t + 4*a = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let n be h(-1). Let g(o) = -o**3 + 2*o**2 - o - 2. Let z be g(2). Sort z, 2, n.\nAnswer: z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -35*f**2 - f - 2. Give r(-1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -0.8, -7\/2, -0.4, -0.073 in descending order.\nAnswer: 4, 1, -0.073, -0.4, -0.8, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*798\/(-1140)*((-18)\/(-84))\/(3\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-10)*17*13\/442. Which is the closest to 0.19? (a) 3 (b) 0.4 (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -7*b**5\/60 + b**2. Let f(v) = -21*v**2 + 11*v. Let w(c) = -4*c**2 + 2*c. Let p(o) = -2*f(o) + 11*w(o). Determine r(p(g)).\nAnswer: -28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12 - -1728) + -6 - -1*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140122 - -22333?\nAnswer: -112234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1340 and -91\/18.\nAnswer: 12060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.493 rounded to one decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/24 + 239*b**5\/6 - 5*b**4\/24 - 1195*b**3\/3 - 2401*b**2. Suppose o(z) = 0. Calculate z.\nAnswer: -478, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3276093738.\nAnswer: 2, 3, 37, 89, 165811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -4. Let v = q - -5. Find o such that -5*o**4 - 7*o**5 + 3*o + 7*o**3 - 5*o + 0*o**v + 2*o**3 + 5*o**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -0.3. Let z = m - -1. Let i = 1 + z. Which is the second smallest value? (a) i (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.981 + 1.84. Let s = 12.559 - b. Let i = -12.700268 + s. Round i to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/8)\/((d\/(d**(5\/6)\/d))\/d))\/(((d\/(d**(-6\/19)\/d))\/d)\/d**(5\/2)) assuming d is positive.\nAnswer: d**(977\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 15*a**2 - 14*a + 35. Let g be p(-16). Suppose g*m + 6 - 24 = -3*r, 4*m - 23 = -3*r. Suppose 0*u - m*u + 465 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 6:45 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/13 (b) 5 (c) -4\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00071329477 rounded to 6 decimal places?\nAnswer: 0.000713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24319999 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -14 - -14\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-83)\/(-4) + 33\/(-44).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -707101\nAnswer: 4\/707101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 11*x + 13. Let d be a(10). Suppose -5*n = f - 6*f, 5*f - 4 = d*n. Solve -3 = n*q + q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, 2, 0, -13, -19, -51 in increasing order.\nAnswer: -51, -19, -13, -5, 0, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233351104 by -174664.\nAnswer: 1336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 186.3 + -200. Let n = -37 + 29.6. Let p = n - r. Round p to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 3*j**3 + j**3 + (2 - 2 - 3*j)*(-4195*j + 340*j**2 + 4195*j) in the form u*j**2 + a + f*j**3 + k*j and give f.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, -18, 0, -4, 5.\nAnswer: -108, -18, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v + 28. Let u be g(-13). Determine d, given that -d + 109*d**u + 9*d - 6 - 56*d**2 - 55*d**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5 + 12 + (4 - 4 - 1)*(2 + 4 - 4))*(-3*l - 3 + 3).\nAnswer: -39*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r + 2. Let a(u) = u - 1. Determine -6*a(q) - 3*n(q).\nAnswer: 33*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9986.403 millimeters?\nAnswer: 0.009986403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 391141785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61596*n - 61588*n = 72 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 + 378\/(-91). Let m = -1649\/3 - -4949\/9. Which is the nearest to -1? (a) m (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 4. Let z be n(0). Suppose -b = -z*b - 378. Calculate the common denominator of 203\/b - 2\/3 and -133\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4*6\/48)\/(56\/98))\/(-1).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1278870 or -1278869?\nAnswer: -1278870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 25, -0.4, 2\/5 in ascending order.\nAnswer: -109, -0.4, 2\/5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3257, -13024, -29305, -52100, -81409?\n\"Answer: -3257*f**2 + 4*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3*z - 6)*(-z**2 - 3*z**2 + 3*z**2)*((-1 + 5 - 2)*(0 + 2 - 3) + 3 - 4 + 2).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 175271, 175086, 174887, 174668, 174423, 174146, 173831, 173472?\n\"Answer: -b**3 - b**2 - 175*b + 175448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -32. Suppose -4*j - 32 = -x. What are the prime factors of ((-8)\/j)\/(5\/165)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 95, 5.\nAnswer: -0.4, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*5 + -8 + 9. Solve -i = -4*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -136962.\nAnswer: -136962, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n. Let c be ((-5)\/10)\/(2\/(-8)). Give j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2 + 7*b**3 + 5*b**2 - 5*b**3)*(-1 + 3 + 5).\nAnswer: 14*b**3 + 28*b**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 7 = 4*v, -390*v - d = -388*v + 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 12:55 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35419818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 272566\/13893 + 22\/1263. Let z(y) be the second derivative of 17\/110*y**5 + 6*y + 36\/11*y**3 - 15\/11*y**4 - 1\/165*y**6 + j*y**2 + 0. Factor z(a).\nAnswer: -2*(a - 6)**3*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + (1 - 2) + (52 - 47).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - -1*sqrt(228))\/sqrt(12) + (-2 + sqrt(2736))**2.\nAnswer: -46*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 11:48 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13208 - -0.40208. Which is the nearest to i? (a) 2\/7 (b) 2\/9 (c) -0.5 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + d + 2. Let k(b) = -2*b**2 + b + 3. Let r(v) = -3*k(v) + 5*o(v). Calculate the remainder when 2 is divided by r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - -3311?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 158, -2\/11 in increasing order.\nAnswer: -2, -1, -2\/11, 4, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101526647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 3*x + 2*x)*(162 - 476*x - 337 + 176) in the form k + h*x + f*x**2 and give f.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 e, and 1 k when four letters picked without replacement from {u: 2, d: 3, e: 6, k: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/117*-9 - 1790\/26. Suppose -4*f - 311 = f + o, 0 = 5*f - 3*o + 307. Let n = f - z. What is the smallest common multiple of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-330)\/268) + 2811 + -2798 + -3*3.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8826.39 to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.23 - 3.47. Let v = -3.9 - r. Which is smaller: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-13)\/52*(-4)\/3. Suppose -m = m + 10, -5*k - 5*m - 25 = 0. Let c(s) = s + 5 + k*s**2 - 3 + 2*s**2 - s**2. What is c(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 55, 67, 79?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 + v**2 + 3*v - 29*v**3 - v - 28 - 35*v**3 + 3*v**4 + 61*v**3 to the form y*v**3 + g*v + l + x*v**2 + r*v**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 4*v**4\/3 + v. Let g(c) be the third derivative of -c**4\/8 - 24*c**2. Calculate g(y(o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*s - 19*s + 240. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252385980 divided by -22.\nAnswer: 11472090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(42\/(-35))*-4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x - y, -2*x + 3*y + 20 = y. Solve -16 = -x*c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(736\/40)\/(-2)*(-20)\/12?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.75 - -1.8. Let y = -0.04 + f. Which is the smallest value? (a) y (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 20*a. Let x(s) be the second derivative of 0*s**3 + 0*s**2 - 1\/6*s**4 + 5 + 41*s. Give o(x(w)).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, c: 1, d: 6}. What is prob of picking 1 d, 1 c, and 1 e?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2104281ng?\nAnswer: 0.0000000000002104281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4836*z - 2722380 = 8972*z + 3357*z + 9525*z for z.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/3 + 4*y + 13. Let r(p) = -6*p**2 + 21. Give -21*o(n) + 4*r(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0957 * -43098.\nAnswer: -4124.4786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from bivqybybbvyqbyiib?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*w - 9*w - 7*w**3 - 11*w.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t = -60*t + 595 + 242 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**18)**(-2\/101) assuming p is positive.\nAnswer: p**(34\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*d - 625, 4*d - 4*c = 5*d - 197. What is the highest common factor of 41 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 22. Let k be o(7). Suppose -4*m - 6 = -7*m. Suppose 2 = -3*a - 5*b, -b = -a + 16 - 6. What is the closest to 0.1 in k, m, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/11, 5, 22, 81, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304 + -217. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 + -30. Let m = 93 + c. Suppose 0 = m*l - 69 - 15. Solve -4*q = -5*v - 15, 0 = 2*v + q - 0*q - l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 30*h**3 - 120*h - 216 + 48*h**2 + 3\/2*h**4 = 0.\nAnswer: -18, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (4 + -3 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c + 74 - 42 + 133 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1280)\/sqrt(4) - ((sqrt(40)\/sqrt(2) + sqrt(20))\/sqrt(4))**2.\nAnswer: -20 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 6\/17, 9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -4 + (1*sqrt(612))**2 + 5 + 5).\nAnswer: 3690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 16 = -9*w. Let r be (1 - (3 - -1)) + w + -64. Let p = 1 - r. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*w - 8 = 0, -w - 71 = 3*j - 75 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*z + 16*z**2 - 18*z**2 - 16*z - z**3 - 7 as v*z + j*z**2 + f + o*z**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from {v: 2, y: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*i + 4*i + 20, 3*i + 4*o + 37 = 0. Let w(r) = r + 1. Let a be w(1). Let u be (9 - i)\/(a\/6). What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.08. Let u = k + -0.01996. What is u rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, -0.3, -1, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 + -88. Solve 4*a - o*a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157237, -156057, -154889, -153739, -152613?\nAnswer: -151517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3116 rounded to 2 decimal places?\nAnswer: -7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -5?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and ((-72)\/(-21))\/((-68)\/(-2380))?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 13. Let r(c) = 2 - 10*c - 9 + n. Calculate r(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16748816.62 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184.635 + -189.3. Let a = r + -0.335. What is the biggest value in -111, 0.5, 0.2, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 4, b: 5, d: 2, x: 2}. What is prob of picking 2 l?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avape. What is prob of sequence eaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, g: 4, y: 2, x: 3, n: 7}. What is prob of sequence xgxx?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5095959372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/5*-5*5684\/490.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1268*u = 1259*u + 2142. What is the greatest common divisor of u and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 31*w + 1039. Calculate f(-37).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 4. Let x(z) = 7*z**3 + z**2 + 2*z + 1. Let s be x(-1). Let j be k(s). Is 12 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - i - 76 - 22, 0 = 3*i - 6. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 8*m + 1188. Does 33 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -56. Let w(l) = -l**2 + 6*l - 6. Calculate the remainder when 2 is divided by w(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8)*-1)*-2 + 4 + 0 + sqrt(5) + sqrt(5) + (sqrt(5) - sqrt(15)\/(sqrt(3) + sqrt(12))).\nAnswer: 4 + 14*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21 = 3*l, 17*l + 52 = -4*v - 21. Let b be (-2)\/5 - (-26)\/(-10). Put b, l, 0 in decreasing order.\nAnswer: 0, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 13 = 4*p - 5*p, -p + 3*j = -11. Let d be ((-8)\/16)\/((-2)\/12). What is the third derivative of s**p + 4*s**d - 3*s**3 + 0*s**2 + 2*s**2 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 8*r - 5. Let d be h(-7). Suppose 0 = 3*z + 2*w - 23, 0*z = d*z - 2*w - 2. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 6*v - 48, -4*v - 402 = 3*l - 434 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -0.05, -1, 0.4 in ascending order.\nAnswer: -30, -1, -0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38938, 41384, 45456, 51148, 58454, 67368, 77884?\n\"Answer: -s**3 + 819*s**2 - 4*s + 38124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1332 and 9768.\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1069892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/64 and 53\/24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0, -1 in ascending order.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 52b0a + 1a?\nAnswer: 52b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/58)\/((-27)\/8*2\/(-3))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -2*k. Suppose -j - 17 = k*o, 4*o + 27 = 5*j + o. Sort 5, -2, 4, j in increasing order.\nAnswer: -2, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c29 (base 15) to base 11\nAnswer: -4659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -65559516 divided by 21853172\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (3 - 13)) + (-7 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from raarrrarararaarraa?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*y - 38 = 2*y, 0 = 5*d - y - 32. Let g = 37 - 18. Let u = g - 12. What is the smallest common multiple of u and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 + 123\/(-205)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 53763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6792985981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1\/2, 51, 591, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25117?\nAnswer: 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**2)**(-28))**(-29) assuming u is positive.\nAnswer: u**3248","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**5 - 36*t**4 + 82*t**3 + 36*t**2 - 80*t = 0.\nAnswer: -20, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xxxxxxjxxjxxxxxxxxx?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -766 + 769.63. Let f = -495.63 - -496. Let t = f + p. What is the closest to -2 in 0.3, t, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*i = 81, 5*r - 97*i = -93*i + 214. Calculate the greatest common factor of r and 364.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*24\/12)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2822383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.33 and -123488?\nAnswer: -3868879.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1793703\nAnswer: 179370.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*13\/91*(-1)\/((-2)\/88*-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/12 - o**2\/2 - o. Let l be (((-8)\/3)\/8)\/(1\/(-3)). Let g(p) = 7*p**2 - 6. Give l*g(r) - 5*a(r).\nAnswer: 2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46147\/360 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, f: 1, l: 2, k: 1}. What is prob of sequence gk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/17)\/((o**11\/o)\/o))**(-21\/8))**(-35) assuming o is positive.\nAnswer: o**(-28665\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/6059151?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.682 to one dp.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/5*z**4 + 3*z**3 + 0*z + 3\/5*z**5 + 0 + 6\/5*z**2.\nAnswer: 3*z**2*(z + 1)**2*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/13)\/y)\/y*y*y*y**(2\/7)*y*((y**(-7)\/y)\/y)**(-48) assuming y is positive.\nAnswer: y**(39457\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31966a26 - 1?\nAnswer: 31966a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 14377?\nAnswer: 23\/14377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 3*y - 6*g, 2*g - 6021 = 5*y - 6016 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 21439 + 369. Is 94 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -148432, -148427, -148424, -148423, -148424, -148427?\n\"Answer: -c**2 + 8*c - 148439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 3*n**3 + 2*n - 1401 - n**3 + 3*n**2 - 4*n**2.\nAnswer: n**3 - n**2 + 2*n - 1401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 267 - g - 500 + 283 as n + d*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 - 504999*u + 1514988 = 0. Calculate u.\nAnswer: 3, 504996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 1045384*h**2 + 7 - 1045443*h**2 + 34*h in the form z + f*h + q*h**2 and give q.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396a18 (base 11) to base 2.\nAnswer: 10011000011000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, -67, -106, -149, -196, -247, -302?\n\"Answer: -2*n**2 - 29*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(3\/(-3))*7\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 802, 802, 800, 796, 790, 782, 772?\n\"Answer: -d**2 + 3*d + 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -182, -4, -0.4, 18.77?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**4*i - 3*d**4 + 6*d**3*i + 180*d**3 + 47480*d**2*i - d**2 - d - i wrt d.\nAnswer: -96*d*i - 72*d + 36*i + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 25*j**2 + 93*j + 9. What is the remainder when o(28) is divided by 62?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/4 in -2, -0.2, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, -0.8, -1\/80, 3\/2, -2\/5 in decreasing order.\nAnswer: 3\/2, 1, 0.1, -1\/80, -2\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 666, 0.058, -1\/2?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.2 + 9. Let s = g + -10.8. Let p = 16 + s. Sort p, -2\/3, 2 in increasing order.\nAnswer: -2\/3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184052 and 2505617?\nAnswer: 4183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.065 and -0.2.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -190*k**4 - 114014*k**3 - 969*k**2 - 2554*k?\nAnswer: -4560*k - 684084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923410233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1221, 2360, 3401, 4332, 5141?\n\"Answer: -2*t**3 - 37*t**2 + 1264*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 10*w - 10. Let y be o(9). Let j = y + 4. Which is the third biggest value? (a) -4 (b) -4\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.75 - -15.71. What is the second biggest value in 0.05, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -1.2. Let j = t + -0.64. Let v = -0.06 + j. What is the closest to 1 in -2\/3, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssaawiirt. Give prob of sequence iar.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 408737 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 220*v. Let n(f) = -55*f. Let j(d) = 15*n(d) + 4*t(d). Let y(i) = -i**2. Give y(j(u)).\nAnswer: -3025*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2550*j**2. Let w(f) be the second derivative of -f**4\/3 + 91*f - 2. Determine i(w(d)).\nAnswer: -40800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 39, -31, 10 in descending order.\nAnswer: 39, 10, 2, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t - 2. Let q = -45 - -40. Let i be v(q). Does 32 divide i + -2*(-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151942868 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5570, -5434, -4950, -3938, -2218, 390, 4066?\n\"Answer: 30*h**3 - 6*h**2 - 56*h - 5538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffa when four letters picked without replacement from hhahhqfqllhffhfqhhqp.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/13*m**2 + 12\/13*m - 16\/13 = 0. What is m?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17595708.\nAnswer: 2, 3, 13, 149, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwa when three letters picked without replacement from awccccaxwa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9288.148 decades?\nAnswer: 92.88148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/51 - -4\/17. Factor 0 + 0*q - m*q**5 - q**3 + q**4 + 1\/3*q**2.\nAnswer: -q**2*(q - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h*n**3 - 2*h*n + 2*h - 18*n**5 + 2*n - 39 wrt n?\nAnswer: 42*h*n - 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x**3 + 207946*x**2 + 1593984*x + 2910600 = 0.\nAnswer: -34650, -14\/3, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 104 + -106 + -1 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -363661 - -214?\nAnswer: -363444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 703343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -26*v**3 - 3*v**2 + 4*v + 6. Let k be (-2)\/9*-6*(-60)\/40. What is the units digit of r(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 11*o**2 + 8*o + 2. Let j be r(-1). Suppose 2*w = 4*w + t - 41, -4*w - j*t = -97. What is the greatest common divisor of w and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(-2*sqrt(5)))**2 - (sqrt(20)\/(sqrt(10)*1) + sqrt(2)))*3 + (-1*1*(-2 + sqrt(162)))**2 + -4.\nAnswer: -42*sqrt(2) + 327\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11836)\/(-58) + 8954\/(-319) + 28. Solve 2*t - d = 6, -5*t + 30 = s*d - 199*d for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006933838 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, 0 in decreasing order.\nAnswer: 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16762 + 8644. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 = -10, -22 = -y - 5*l. Let x(g) = -8 + 0 + g - y. What is the smallest common multiple of x(18) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195896 - -196235.249. Let z = -339 + j. Round z to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from {h: 7, z: 2, n: 2, o: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -83 - 173500\/(-2100) - (-64)\/(-420)\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 2:20 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 12*g + g - 25*g**2 - 2*g. Let a(w) = 69*w + 1516. Let s be a(-22). Let j(p) = -5*p**2 + 2*p. Determine s*z(t) + 11*j(t).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2. Suppose -c = c - 8, 0 = -3*h + c + 2. Let v(l) = -2*l**2 + 3*l**2 + 4*l**h - 4*l**2. What is b(v(g))?\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by 15379\nAnswer: 45\/15379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/(-6))\/((60\/(-369))\/10). Let x = g - 91. What is the biggest value in x, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + 1)**2 - sqrt(81)\/sqrt(3).\nAnswer: sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**7\/280 + z**6\/40 - z**4\/2 + 13*z**3\/3 + 26*z. Let t(i) be the second derivative of h(i). Solve t(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -12, -15, -8, 15, 60, 133?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 - 2*l**2 + 2*l + 2. Let g(z) = 154*z**3 - 63*z**2 + 63*z + 63. Suppose 6*t + 71 = -307. Give t*m(x) + 2*g(x).\nAnswer: -7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 8. Suppose 5*f = -2*p + 117 + 50, k*p - 37 = -f. Find the first derivative of 5 + 33*z - f*z - z**2 wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f\/(f*f**(-22))*f))*(((f*f**(-2\/43))\/f*f)\/f)\/f assuming f is positive.\nAnswer: f**(944\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**3*r**2 + 1747135*a**3*r + 2*a**3 - 213*a**2*r**2 - 2*a*r**2 + 7*a*r + 2*a + 318*r**2 wrt a.\nAnswer: -72*r**2 + 10482810*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45*x - 1772 = -48*x, -348 = -p + x. What is the greatest common divisor of 96 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2. Suppose -12 = -o + 4*c, -k*c - 23 = -4*o - 3. Suppose 0 = -3*u - o*u + 21. Solve 0 = -u*v + v + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 369?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34506 and 1332?\nAnswer: 2553444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/5 + (-8)\/(-20) - -27. Let x be 8\/2 + 0 + 0. Let a be 3\/6 - (-154)\/x. Calculate the highest common factor of a and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 + 70*y + 13 - 60*y + 68*y with respect to y.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + 12343783772*n - 12343783772*n - 4*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 3499 = -3090. Let a = c + -358. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**2 - 197024*v + 2426153536 = 0 for v.\nAnswer: 24628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 40?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjvjjjjjwjjvjjw. Give prob of sequence jwwv.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -62?\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797143 to the power of 1\/2, to the nearest integer?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - (-2 - 1))*(42 - (22 + -63 - -84))\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*6*(-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + 2 - 2)*(3 - 1 + 0) + 8*y + 6*y - 2*y + (3*y - 4 + 4)*(-1 + 2 + 0))*(2 + y - 2).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -675*t**2 - 5779*t - 12025. Determine l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, -4 in increasing order.\nAnswer: -15, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/424 and -89\/7208.\nAnswer: 7208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 20*w**2 - 1\/8*w**4 + 0*w + 1\/6*w**3 + 0 + 67\/20*w**5. Is s(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 60292864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41835314.\nAnswer: 2, 197, 106181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2385, 2386, 2387, 2388, 2389, 2390?\n\"Answer: h + 2384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 3*o - 3*o)*(4*o**3 - 3*o**3 - 4*o**3) as d*o**4 + z*o**3 + n*o**2 + x + v*o and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1314*p + 677*p + 279*p + 746*p - 296*p as a*p + d and give a.\nAnswer: 2720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j*n**4 + 11*j*n**3 - 58*j*n**2 - 2282*j*n + 3*n**4 + 180*n**3 wrt n.\nAnswer: -264*j*n + 66*j + 72*n + 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-37 - -28 - (-4 + 5))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 80.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {q: 5, p: 7, e: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1\/5, 1\/2, 0.047 in descending order.\nAnswer: 1\/2, 0.047, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 10*o**2 + 10*o + 3. Let q = -1 - -10. What are the prime factors of n(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 20 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 166607521?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-4) + 1 - (-5445)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-4)\/((-544)\/(-12))). Let b = -22 - y. Let f be 3*(-3)\/((-27)\/b). Solve -5*a + 24 + 16 = -f*l, -3*a = -4*l - 32 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2391 a factor of 369491655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 559*p + 45181. Calculate t(98).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-64)*38\/(-57).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 966 - 869. Solve 0 = 96*x - f*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 25. Solve 2*u = -4*v - 16, c*v - 5 = -4*u - 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 947610?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-20)*(-1890)\/(-84)*220\/(-90).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 + 267. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.759941 rounded to 2 decimal places?\nAnswer: -4.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-2)\/q))**(17\/2)\/(q\/(q\/(q*q**(1\/4)*q))*q\/(q\/q**(-4\/15))))**(1\/3) assuming q is positive.\nAnswer: q**(1921\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, q: 4}. What is prob of picking 2 f and 1 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/24 - v**3\/2 + 4*v**2 - 4. Let o be 0 + -3 + -2*1. What is z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 214*y - 2353. What is p(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2}. What is prob of sequence ep?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2 + (5 - 1 - 2)*(-1 + 3 + 4))*(3*w**2 - 2*w + w - w).\nAnswer: 30*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 101*j + 1635 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 2, w: 1, m: 4, e: 2, y: 2}. Give prob of sequence hmg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47092.\nAnswer: 2, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*o - 49, 3*o + 3*n - 33 = -0*n. Let l(q) = -q**3 + 10*q**2 - 11*q + 1. What is the remainder when l(o) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10463447.\nAnswer: 409, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0227273*-165\nAnswer: 3.7500045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64169908 by -5833628.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/4 + 2*p**3 - p**2\/2 - 11*p - 1999. Determine v(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Differentiate -2 - 1 - 2*f**3 + l with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -13. Let f(l) be the first derivative of -4\/3*l**b - 1\/18*l**3 + 0*l - 4\/3*l**6 - 1 + 0*l**2 - 11\/24*l**4. Factor f(n).\nAnswer: -n**2*(3*n + 1)*(4*n + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-11 - 2 - (-132 - -109)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 1. Suppose 3*j - 2*r - 1 = -4*r, -4*r + 6 = 2*j. Let c(s) = -4*s + 7. Suppose -4*b - 33 = -5*a, -2*b - 1 - 3 = 0. Give a*i(f) + j*c(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5975, -5986, -6001, -6020, -6043, -6070?\nAnswer: -6101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:27 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3ab3 - 5?\nAnswer: -3ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1571, -1574, -1589, -1622, -1679, -1766, -1889?\n\"Answer: -o**3 + 4*o - 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 201, 204, 209, 216, 225, 236?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -49358 and -49360 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58474635*d**6 - 2*d**2 + 48640017*d?\nAnswer: -7016956200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426.7 - 450. Let w = -5613 + 5637.71. Let q = w + g. Round q to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) -3 (c) -15\/16 (d) 2\/7 (e) 0.4 (f) 95 (g) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**5\/20 - o**4\/12 - o**3\/3 - o**2\/2 + 2*o. Let c be b(-1). Suppose 2*d + 18 = -4*d. Put c, d, -5 in descending order.\nAnswer: c, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1072 and -23\/824.\nAnswer: 110416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2. Let p(o) = 17*o**2 + 3*o - 36. Let b(s) = -p(s) - 2*q(s). Find the second derivative of b(r) wrt r.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1715, -3425, -5137, -6851, -8567, -10285?\n\"Answer: -p**2 - 1707*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/4)*w\/(w**(-4\/3)*w)*(w**(-1\/3))**(-1\/21))**(1\/42) assuming w is positive.\nAnswer: w**(655\/10584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/2 - 598101*i + 119241602067\/2.\nAnswer: 3*(i - 199367)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*z**4 + 97*z**3 - 973279*z**2 wrt z.\nAnswer: 11160*z + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 + -0.04. Let w = -0.77 + 0.8. Let b = w - 0.33. What is the closest to j in b, -1, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 83. Let b be -1*(-1 + -1 - 0). Suppose -5*r - b*p + u + 65 = 0, 3*r = -4*p + 71. Solve -6*d = -d - r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0*v**3 + 35*v - 28*v - 4*v**2 - v**3 - 1. What is n(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + -4 - 2*(sqrt(17) - sqrt(68)))**2.\nAnswer: -30*sqrt(17) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.6361 rounded to zero decimal places?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 6*s**2 - 40*s. What is w(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, q: 1, s: 3, w: 5, e: 2, z: 1}. What is prob of sequence ppwp?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2780240 by -695060.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 817.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:03 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**3 + q**2 - 5 - q**2 + 2*q**3 in the form f*q**3 + t*q + p + x*q**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*o + 227*o - 530*o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 212*c**3 + 416*c**2.\nAnswer: 2*c**2*(c - 104)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476295 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose h - 381 = -t*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -35*j**2 + 6*j - 4. Let p(i) = 34*i**2 - 7*i + 5. Determine -7*o(f) - 6*p(f).\nAnswer: 41*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 793105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336028 and 616?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 5533.53?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/165912 and -21\/304172?\nAnswer: 1825032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 11:19 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 13\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -50941379?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/(-18) - -1)*(-48)\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23042434 (base 5) to base 16.\nAnswer: 324aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = h + q, 12 = 3*q. Suppose -20 = -0*g + 4*g + 4*o, 0 = -2*g + 4*o - 16. Let j = h - g. Solve k = -4 - j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 18*s + 2372 = 2447, -2*i - 40 + 10 = 4*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1102, -4261, -9468, -16717, -26002, -37317?\nAnswer: -50656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11337 is divided by 3746.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 18*h - 40. Let b be (-2 - 11\/h)*(-72)\/(-11034). Is b > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 - 61. Calculate the highest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 393257 and 63 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/4 and -8\/18773631.\nAnswer: 75094524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -6, -71359, 3 in increasing order.\nAnswer: -71359, -6, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/63 + 2\/6. Which is the nearest to 6? (a) g (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14354572.\nAnswer: 2, 227, 15809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 644770426 a multiple of 1947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 905721 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*u**3 - 78*u + 61*u - 7*u**3 wrt u.\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -0.4, 2\/3, 13.36 in decreasing order.\nAnswer: 13.36, 2\/3, 0, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 0*b**4 + 0*b**3 + 0*b + 0*b**7 + 1\/30*b**5 + 5\/336*b**8 - 2*b**2 + 0*b**6. Find the third derivative of g(o) wrt o.\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2688282 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 - m. Suppose -28 - 14 = 7*q. Let w(p) = 25*p**3 - 6*p**2 + 5*p. Let r(b) = q*l(b) + w(b). Find the second derivative of r(v) wrt v.\nAnswer: 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0 (c) -1\/4 (d) -0.0434\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpmpmmwmmpgspmm. Give prob of picking 1 m, 2 p, and 1 s.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 165 = -3*f, 3*f + f - 3*m = 219. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:54 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + w + 0*w - 48590*w**2 + 48583*w**2. Let t(f) = -34*f. Give t(p(v)).\nAnswer: 238*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -1\/5 (c) 0 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -0.1. Let s = x - 3.06. Let u = 14433 + -14434. Put u, 1\/9, s in decreasing order.\nAnswer: 1\/9, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10)*16 + 34\/(-85). Suppose -249 = p*f + 129. Let x = -14 - f. Is 49 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26611816 divided by 6652954.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.1 (b) -2\/165 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*h - 2 = -0*g, g - 2*h = 13. Suppose -g*o + 2*o = l - 48, -3*o = -5*l + 184. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 0. Suppose -36 - 51 = -x. Let t = x - 263\/3. Put t, -0.5, o in descending order.\nAnswer: o, -0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*i*s + a**2*s + a*i - 2*a - 2*i - 10*s + 2 wrt a.\nAnswer: 4*a*i*s + 2*a*s + i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.9 + 12. Let u be 41\/3 - 3\/(-9). Suppose 3*k - 3*r - 1 = u, 4*k - r - 8 = 0. Which is the closest to k? (a) 4 (b) 2\/11 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1183101 (base 9) to base 6.\nAnswer: -21455131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, u: 8, a: 3}. Give prob of sequence yaay.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-112) + (-24)\/(-14). Let m be 2*1 + (-48)\/(-3). Suppose -3 + m = 5*u + 5*q, 0 = -5*u + z*q + 8. What is the least common multiple of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 293054 = 8*o - 15*o, -3*o + 125621 = 4*z. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1731833\nAnswer: 346366.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/4)\/(3\/(-9)). Let x(r) = 3 + 0 + 4*r - 3*r**2 - 2*r - r**3. Let n be x(c). Put n, -5, -1 in decreasing order.\nAnswer: -1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27677 - 27678. Put 4, -5, 210, m in decreasing order.\nAnswer: 210, 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4892353992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 617*j - 30919. What is g(-86)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110111100100010001 (base 2) to base 16.\nAnswer: -77911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 150*q = 58*q - 4344 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let d be (-11)\/(h\/(-1 + 0)). Let a = d + 26. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -3, 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 28*j**2 + j - 1. Let a be k(1). Suppose 2*l = -3*i + a, -i - 24 = -l - 0*l. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 13 - 17*a**2 + 11*a**2 - 3*a**2 + a**3. Let j be t(10). Let o = j - 97. Solve h - 6*h - 15 = o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 4:04 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 17*p - 7*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2112) - sqrt(2112)*-2 - sqrt(2112)) + 6*sqrt(132)\/sqrt(4))\/(5*sqrt(48)*3*-5).\nAnswer: -11*sqrt(11)\/150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 32.8.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -0.0118\nAnswer: -0.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 45. Let c = f + 15. Suppose -2*t + 14 - c = 2*g, 5*t - 5*g = -10. Calculate the least common multiple of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/((((r*r**(-12))\/r)\/r)\/r))\/r)**(-1\/65) assuming r is positive.\nAnswer: r**(-16\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, u: 2, l: 3, i: 1, m: 1}. What is prob of sequence lmi?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 0 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 - (88 - 15\/(-5)). Let r = 112 + z. Does 5 divide 26 + r + (2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -24902?\nAnswer: -2490.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/4, 0.6, -0.011, -3.779?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 100 + -48. Let k(t) = 53*t - x*t - 25 + 28. Give k(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -73 - 6627?\nAnswer: -6722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - (1 + 3 - 1). Let k = d - -3. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -c - 43 + 35, 4*c - 12 = 3*h. Let g be (-176)\/(-198)*(c - 500\/(-16)). Factor 400\/9*t + g + 32\/9*t**3 + 20*t**2 + 2\/9*t**4.\nAnswer: 2*(t + 1)*(t + 5)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/87 and 61\/928.\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/6 + 311*z\/6 - 879.\nAnswer: -(z - 293)*(z - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -7, -1\/271, 1 in decreasing order.\nAnswer: 1, 2\/7, -1\/271, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10*((2025\/18)\/(-25) - -31). Which is smaller: -264 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105055455 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033979 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*1*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, b: 1, w: 2, i: 1, h: 3}. Give prob of sequence wf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -64? (a) -3 (b) 1\/6 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 5*t**2 + 9*t - 7. What is the lowest common multiple of v(6) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -262, 3.\nAnswer: -262, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**5 + 634*a**4 + 668*a**3 - 87436106*a**2 wrt a.\nAnswer: -240*a**2 + 15216*a + 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -55*s. Let y(q) = -1044415*q. Determine y(t(g)).\nAnswer: 57442825*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23586 < 23585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 10*a - 13. Let k be s(-3). Let v = -58 - k. Let z = v + 313\/8. What is the nearest to -0.1 in z, 0.1, -3\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411 - -747. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 20\/(-15)*12\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let d(g) = 293*g**2. What is d(f(w))?\nAnswer: 293*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/9)\/((-600)\/14850)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 39*a - 302. Calculate the smallest common multiple of 154 and j(-12).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -45, -28\/5, -0.6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 6. Let c be k(0). Let h = c - 1. Suppose -2360025 = -4*m - h*g, -m - 2*g + 590010 = -0*g. Round m to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(2) + 4 + sqrt(24)\/sqrt(300).\nAnswer: 6*sqrt(2)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1.6 (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2241 is divided by 187.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 662*l**2 + 750*l**2 + 705*l**2 - 1900*l**2.\nAnswer: 217*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -174417 * -0.1521\nAnswer: 26528.8257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 1. Let j be n(1). Suppose -d - 3 = -j*d. Suppose -u - 2*u = -d. Let b(p) = -6*p**3 - p**2 - p + 1. What is b(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*n + 16 + 46 = 0, 2*a + 3*n - 37 = 0. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 657306*t**2*x**3 - 3*t*x**2 + t*x + 1343*t + x**3 - 17 wrt t.\nAnswer: 1314612*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102938657 a multiple of 1404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -160*q**2 - 11675*q + 365 = 0.\nAnswer: -73, 1\/32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -1\/20*d**5 + 3\/8*d**4 - d + 3\/2*d**2 - 13\/12*d**3 + 11. Factor w(v).\nAnswer: -(v - 2)**2*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16377689*n**2 - 16377689*n**2 - 5*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 9. Calculate the smallest common multiple of 1 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(24\/7))\/(f**(2\/35)*f)*((f\/(f\/(f**(1\/5)*f)))\/f)\/f**(-5) assuming f is positive.\nAnswer: f**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -13\/3 (b) 4 (c) -5 (d) -1.9 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -92 + 107 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 6*h - 9. Let p be t(-2). Solve -75 = 18*w + p*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*d**2 + 0*d + 0*d - 302624 + 302627 to the form j*d + z + u*d**2 and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 23 + -5 + (6 - (-5 + 8))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50.85 (b) -1\/611 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -570*z + 16465 + 25715 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**2 + 25*g**2 - 34*g**2 - 157 to l*g + w*g**2 + p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 7824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 3, b: 1, s: 1, o: 3, v: 3}. Give prob of picking 1 o, 1 r, and 1 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*v + 3*h, -4*v = -4*h - 111 + 123 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8 = -2. Let d be 2\/(-11) - (-189)\/11. Suppose 10 + d = 3*o. Solve o = l + j*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o + 0*o**3 - 4*o**3 + 6*o**3)*(-o + 4*o - o) to i*o**3 + q*o**4 + r*o + y + a*o**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*z + z. Let m be 0 + 29 + z\/(-2). Let y = m + -18. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 47317501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -31. Find the common denominator of 89\/42 and 54*1\/f - -3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.38633696 to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*5\/15 + 2*1. Let k(x) = -x + 6. Let t be k(q). Let l be (-4 + 22\/t)*-2. Which is the second smallest value? (a) 4 (b) -19 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 11*q - 12. Let s(m) = 4*m + 1 + 2 - 3*m. Let y be s(q). Sort 2, y, 3 in decreasing order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 8:25 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - 1*sqrt(70)))\/sqrt(2))\/sqrt(5) - (-1*sqrt(63) - (-2 + sqrt(63))).\nAnswer: -2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - g = 0, 0 = 5*b + g + 6 + 8. Let u(y) = -864*y**3 - 2*y**2 - y - 6. Let p be u(b). Round p to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.27 times 107736\nAnswer: 244560.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 257 = 49*u + 13 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j - 4. Let h be y(2). Let n(q) = q**3 - 4*q**2 - q - 2. Let r be n(h). Is 49*(r\/3 + 3) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -12 - -6) + -10 - (-5 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1857921 (base 12) in base 10?\nAnswer: 5093737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*d**4*z**3 - 3*d**4*z**2 - 24*d**2*z**3 - 2*d**2 - 15*d*z**2 wrt d?\nAnswer: -1464*d*z**3 - 72*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 8:48 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + -3 + (-3 + 0 - -8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (8 - 32) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * 5371\nAnswer: 859.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -468 - -468.4. Which is the second smallest value? (a) -7 (b) -0.1 (c) 0.3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -1.9. What is the nearest to -3 in -1\/6, q, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 4\/9 (c) 0.5 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1546, 0, -94, -65 in descending order.\nAnswer: 1546, 0, -65, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and (-2681)\/(-14) - (-35)\/(-14)?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 92 = 6*l. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 4617097052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 0 + 6 = 0. Let z(n) be the first derivative of 3*n - 2\/3*n**3 + 0*n**2 - w. Find the first derivative of z(u) wrt u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15132 by 1261.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 7*r**4\/24 - r**2. Let h = -63 - -65. Let j(w) = -359*w**h + 717*w**2 - 361*w**2. Give j(k(b)).\nAnswer: -147*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 375212 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(-2)*(k*k*k\/(k*k*k**(1\/3)))\/k*k**9*k*k**(5\/8))**(-1\/35) assuming k is positive.\nAnswer: k**(-367\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 108614740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1070429 is divided by 1070405?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35939413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - ((-2)\/(-1) - 0). Suppose 6 = 3*u - f. Solve 3*g = 4 - 1, -3*g + 6 = -u*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 9:59 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18804 divided by 6\nAnswer: 3134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*w - 6 = 69*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1232 - 800. Suppose 8304 = o*s - 426*s. What are the prime factors of s?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 1 - 6*c**2 + 25*c**2 - 9*c**2 to the form g + b*c + y*c**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(63)*5*-4)\/(6*sqrt(18)\/sqrt(2) + -3*sqrt(36)\/sqrt(4) + sqrt(9))*2.\nAnswer: -1 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 220 - -85. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1139 - -1147. Solve -h*f + 23 = 63 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -118.\nAnswer: 7552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -6.6.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-61)\/8 + -11 + 935\/88?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-10))\/(2\/10). Let s(t) = t**3 - t**2 - 2*t + 2. Let a be s(0). Let l(y) = -7*y**a + 42*y**2 - 38*y**2 - 3 - 3*y. Give l(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.848 in 2\/7, 3, -2\/3, 0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(136) - 1*sqrt(136)))\/(sqrt(72)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -130\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 18*t = -360. What is the least common multiple of t and 19 + (-1 - 8\/(-4))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/8))**(-2\/23)*(f**(-2\/69)*f)\/f*f**(-31))**(-14\/11) assuming f is positive.\nAnswer: f**(59927\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4236 + 10?\nAnswer: 4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*v + 122*v + 858 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646235886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 115 = -5*y + y, -3*x + 2*y = -365. Suppose -4*w + 928 = -a, x = -w + 4*a + 340. Let s = w + -139. What are the prime factors of s?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 30*q + 44970 = 0, 0*q = 5*f - q - 45001. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.16.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 - y**2 + 3*y**2 + (4*y - 6*y - 2*y)*(4*y - 7*y - 9*y + (-1 + 0 - 1)*(2*y - 2*y - y)).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 1, q: 3, p: 1}. What is prob of picking 1 p and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y + 1. Calculate the least common multiple of (-1)\/5 - (-255)\/25 and c(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/8)*j**(-7\/6)*j)\/(j*j**2)**1 assuming j is positive.\nAnswer: j**(-61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/4)*y)**21\/(y**(-1)*y)**(2\/29)*((y*y\/y**(-1)*y)\/y)**(-47)\/(y**(-3)\/y**(2\/3)) assuming y is positive.\nAnswer: y**(-1207\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 4, a: 6}. What is prob of sequence aw?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lljljjlllllljllj. What is prob of sequence ljll?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 4838?\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-5)\/n))\/(n*n**5*n))\/(n**1)**2*((n*(n*n**(-7))\/n*n*n)\/(n**(4\/7)*n))\/(n*n**4*n**(2\/17)*n) assuming n is positive.\nAnswer: n**(-1748\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80127 - -47?\nAnswer: -80080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 times -2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14698*u**2 + 249870*u + 68.\nAnswer: 2*(u + 17)*(7349*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -14*a - 3. Let r be ((-4)\/12)\/(2\/33)*2. Let u(p) = 5*p + 1. What is r*u(m) - 4*b(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 37046.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672052?\nAnswer: 2, 3, 41, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -444*l**2 - 5*l + 187. Let m(o) = 3*o**2 + o - 3. Let n(s) = -i(s) - 5*m(s). Find the first derivative of n(b) wrt b.\nAnswer: 858*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 40 = 4*b, b - 29*i - 30 = -32*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-154)*(-35)\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490 = -7*o + 2*o. Let i = 853 + o. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:30 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 734008 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 938 and 4690.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -26 - (-7 - 17)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -5*v - 54. Let m = -38 + v. Let w = m - -92. What is the greatest common divisor of 6 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 1. Let y(l) = -2. Let u(g) = 6*j(g) - 2*y(g). Find the first derivative of u(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 672 + 677 - 1352 + 55*s**2 + (-66 + 66 - 7*s)*(-s**2 + 3*s**2 - s**2).\nAnswer: -5*s**3 + 55*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -41*s - 329. Calculate the remainder when 3556 is divided by g(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219494.\nAnswer: 2, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159032 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) -67 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -140*t + 491 + 481. Sort 2, -4, t in descending order.\nAnswer: t, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38238431 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {m: 1, x: 1, y: 2, u: 2, j: 1, c: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 33, 53, 77, 105?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q*((q*q\/(q**(12\/13)\/q))\/q)\/q*q))\/q*q)**(27\/4)*q*q*q*q*q*q\/(q\/(((q**18*q*q)\/q)\/q*q)*q*q)*q**16)**(1\/30) assuming q is positive.\nAnswer: q**(799\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2668, -2669, -2666, -2659, -2648?\nAnswer: -2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/3 + 14*i**3\/3 + 2*i**2 - 42*i - 72.\nAnswer: 2*(i - 3)*(i + 3)**2*(i + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - 2*a**3\/3 - 15*a**2\/2 - 34*a. List the prime factors of s(-8).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4\/18 - 1746\/(-162).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -92\/75 and -101\/534?\nAnswer: 13350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = 0. What is the biggest value in 8, 1\/6, t, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f - 16. Let t be -4*10*f\/32. Sort t, 5, 1 in descending order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 563 - -43?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 741 + 747 = -4*y, 3*h = 2*y - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 62 = -t, -3 + 22 = m + 2*t. Suppose 0 = -3*u + m + 15. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - s = -31, 0*s + 2*s + 28 = 3*q. Suppose -4 - q = -2*d. Suppose 3*z + 4*l = 14, -2 = -3*l + 2*l. Solve -4*t = -12, 0 = 2*a + z*a - 3*t - d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 19477178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 0*p**2 + 5*p**2 + 0 - 1 - p**3 - 7*p + 2*p**2. What is a(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 3, c: 3, y: 7}. What is prob of sequence csy?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -376682 from -0.6.\nAnswer: 376681.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34183, -68367, -102551, -136735, -170919?\nAnswer: -205103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 50376*n - 302256. Calculate j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 10. Let w = -84 + 44. Let v = 48 + w. Is r(v) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*(z\/(z\/z**9*z)*z)\/z)*z**(2\/29)*z*z*(z\/(z*z**(1\/7)))**(5\/16) assuming z is positive.\nAnswer: z**(-16161\/3248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3 + 5. What is the smallest common multiple of x and (12\/(-15))\/((-10)\/25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 34*u - 37*u. Suppose 0*r = -4*r - 5*q + 31, -2*r - 2*q + 18 = 0. Let p = r - -4. What is the smallest common multiple of p and u?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 + m - 8. Let r be o(6). Let t(u) be the second derivative of 3*u**5\/20 + u**4\/6 - u**3\/3 - u**2 + 4*u. Determine t(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - (-216 - (9 - 7)). Calculate the highest common factor of 168 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(20\/9)\/((w**(-1\/2)*w*w)\/(w\/(w*w**4*w))) assuming w is positive.\nAnswer: w**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 - 1700591840*c - 144600630313729280 = 0?\nAnswer: -170059184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205234117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780573 is divided by 688.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36322099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2. Let x(a) = a - 2*a + 4*a. Determine h(x(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 - 15*i - 31 + 63)*(5 - 4 - 2)*(1 + 3 - 2) in the form n + q*i and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -0*t. Let g(p) = -p**3 + p**2 - p - 3. Let b be g(0). Is t != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*v**3 + 0 + 0*v + 1\/5*v**4 - 1\/5*v**2 - 1\/5*v**5.\nAnswer: -v**2*(v - 1)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 503067180 and 415758?\nAnswer: 503067180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d. Let c(s) = 2*s**2 + s + 7445. Give c(m(p)).\nAnswer: 98*p**2 + 7*p + 7445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -542091902+-0.4\nAnswer: -542091902.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 975 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -105. Which is bigger: l or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, g: 1, p: 3, x: 5, i: 1}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 44.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-810))\/((-2)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/91*(-154)\/(-154)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -2\/9, 134 in descending order.\nAnswer: 134, 1, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 963.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18568 is divided by 18552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*w - 73*w - 4. Suppose 26*n + w = 27. Suppose -3*v = 2*v - 25. Solve -2*d + 3*y + 2 = -n, 5*y + v = 4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/37? (a) -0.1 (b) 4 (c) 1\/14 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 30.8, -2\/7, 24\/5, 0.4 in increasing order.\nAnswer: -139, -2\/7, 0.4, 24\/5, 30.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2293.\nAnswer: -5\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2.14 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 6\/11, 5\/4, -1.2, -0.3, 17\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 5 + 6\/2. Suppose -f*a + 40 = -0*a. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 388*g. Let y(w) be the first derivative of 1\/3*w**3 + 0*w - 136 + 0*w**2. Calculate i(y(s)).\nAnswer: 388*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*v + 5*o - 26, 0 = -2*v + 3*o - 8. Is 1\/3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5 = 5. Suppose -4884 = -l*k + 7716. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(660)*-2 - sqrt(660))*-6)\/sqrt(11))\/(5*(sqrt(12) + 2*sqrt(48)\/sqrt(4))*-1).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*m. Suppose m = 6*p - 63 - 33. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**5\/13 - 3446*j**4\/13 + 799358*j**3\/13 + 646202590*j**2\/13 + 1289993312*j\/13 + 644593528\/13 = 0?\nAnswer: -311, -1, 1018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/69 + (-3485)\/(-123)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2097 or -1973?\nAnswer: -1973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 142877 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 559970 = -b, 4*b - 2*l - 2*l = 2239928. Suppose 2*j - 4*j - 4*x - b = 0, j + 280010 = 2*x. What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805*v - 901*v - 1311 = 885*v for v.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 716085988?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -11.8. Let z = 24.2 - j. Let d = z - 19. Which is the second biggest value? (a) -1\/3 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxqqxqqxbqxxxqxxx. What is prob of picking 4 q?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 95*w - 11 = -94*w, 0 = d - w - 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 5. Let g(c) = c + 7. Let d(x) = 6*g(x) - 7*t(x). Give d(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, -61, -85, -107, -127?\n\"Answer: a**2 - 29*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -342, -512, -682, -852, -1022?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1523939 or -1523946?\nAnswer: -1523939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -20*o - 3. Give i(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/1 - (-206 + 217).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:41 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 18*h - 18 = 0. Suppose -3 = -j - h*r, -7*j + 2*j = -r + 1. Let w(u) = 6*u - 3. Let k be w(j). Sort 3, 5, 0, k in decreasing order.\nAnswer: 5, 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 8*k)*(-2*k + 0*k + 4*k)*(-k - 3 + 3)*(-6*k + k + 2*k).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3 times -0.4?\nAnswer: -8.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wppppwppp. What is prob of picking 4 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6*y - 481124 = -4*p, -3*p - 9*y + 360843 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 + 1 = 0. Let q = 13 - r. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**6*u + 3*h**5*u + 9*h**3*u + 6*h**2 + 297*h*u wrt h.\nAnswer: 240*h**3*u + 180*h**2*u + 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21475017, 21475003, 21474989?\nAnswer: 21474975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5022 and 1580580.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/4 - 3433*o\/4 - 291195\/2 = 0.\nAnswer: -162, 3595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 810 and -0.044?\nAnswer: 810.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/109 or 0?\nAnswer: -28\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (14 - 15) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95241 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + 87. Let q = g - 124.91. What is q rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/3, 56, 0.1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.17001 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 536816*i**3 + 13*i**2 - i - 68084 wrt i.\nAnswer: 3220896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191230155 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1478*r - 1474*r - 31 = 3*z, 0 = -r + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/3 - 2*j. Let u be -4 - (-64)\/20 - 1\/5. Determine d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*g - 10. Let h = 818\/143 + -72\/13. Let v = 9.01781 + -0.01781. Which is the smallest value? (a) g (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04573 to 3 decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 7:43 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/7)*x\/(x**0*x)*(x**(-2\/7))**(-35) assuming x is positive.\nAnswer: x**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258452 is divided by 109.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 6 = i. Let a be 4\/12 + (-16)\/i. Find the common denominator of (-94)\/10 - a - -3 and -35\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66872765 to the power of 1\/2, to the nearest integer?\nAnswer: 8178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 + 448 + 2\/2. Suppose 4*p = -5*n + p + y, 0 = n - 5*p - 76. Let u be n\/(-195) - 1\/5. Sort -2\/15, u, 0.3 in increasing order.\nAnswer: u, -2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 1019?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-30)*(-5)\/4. Let r(t) be the second derivative of 1\/12*t**3 + 2*t + j*t**4 - 1\/2*t**2 + 0. Find m such that r(m) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(((sqrt(12)*-2 - sqrt(12)) + sqrt(12))*3).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 279*g**2 - 2153*g + 9652. Give v(-131).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -14*r - 4*r**2 + 0*r + 0*r**2 + 2*r**2 - 12 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18280082.\nAnswer: 2, 653, 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 37. Let d be (3 + 45\/(-20))\/(6\/m). Let q be (-1 - d)*(-3 + 32\/12). Sort -1, -2, -5, q in increasing order.\nAnswer: -5, -2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2286238 and 42706.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 0)*(-3 + 2 - 8)*(4 + 2*a + 2 - 3) in the form o + y*a and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -15*y + 19. Let v(l) = -l**2 + 6*l + 2. Let m be v(6). Sort y, 4, 5, m.\nAnswer: m, y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-7)\/(-714)). Let x = g - -54. Suppose 37 = x*f + 5*s, f - 4*s + 6 = -10. Solve f*k - 4 = -16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -25. Let m = -552 + 569. Suppose -m*y + 92 + 44 = 0. Calculate the smallest common multiple of y and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2579230530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*d - 166*d + 334*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/((-24)\/15))\/(3\/(-2)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232820018?\nAnswer: 2, 59, 1973051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*r**2 - 166*r + 73*r + 93*r.\nAnswer: 678*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - z + w + 660, -3*w - 433 = -2*z. What is the remainder when z is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 767 + -5.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 84078895 divided by -16815779\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(17\/4))\/(s**(2\/23)\/s))**(-1\/16) assuming s is positive.\nAnswer: s**(-567\/1472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 142, 99, 38, -41?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*i**6 + 2*i**2 + 142*i**6 + 192*i + 414*i**6 - i**2 wrt i.\nAnswer: 53760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2640536?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(3*sqrt(384)) + 4.\nAnswer: sqrt(17)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbqnnbnnnnnbdbb. Give prob of picking 3 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*g**2 - 9351*g + 9505*g - 24*g**3 + 6*g**3 - 26 = 0 for g.\nAnswer: -13, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 + 19660925.\nAnswer: 19660927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-2)\/24*-3. Suppose 0 = -y + 7 - 2. Let c = d + y. Is 4 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.092573.\nAnswer: 0.0462865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -215441 + 365191. Round u to the nearest 1000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1492*l**3 - 5*l**2 - 2*l. Let p(j) = -2238*j**3 - 8*j**2 - 3*j. Calculate -5*p(a) + 8*w(a).\nAnswer: -746*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 9*c - p - 66028, 65986 = 3*c + 5*p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37107*l*r**3 - 2*l*r**2 - 5*l*r + l - 187*r**3 + 1941*r**2 - 2*r wrt r.\nAnswer: -222642*l - 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 x when four letters picked without replacement from xuosxuxouuuwxxouuw?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 15 = 6*u. Let v = u + 13. Solve v = -2*g - 0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22558247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/17 + 182*w**2\/17 + 1164*w\/17.\nAnswer: -2*w*(w - 97)*(w + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 8) in base 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/15703002 and -11\/42?\nAnswer: 15703002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22 + -8 + (3 - -48497)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3242699 is divided by 1080895.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4*d**3 + 1503*a**4*d + a*d**3 + 3*a*d**2 - 26*d**3 wrt a?\nAnswer: -24*a**2*d**3 + 18036*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from swwaahhwahawsahahh?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 3:55 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6017135 and 123005?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 3 = -4*m + 5*l, -3*m + 4*l = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**6\/16 - 3*u**5\/5 - 9*u**4\/32 + 23*u**3\/2 + 21*u**2 - 72*u - 3362. Determine w so that l(w) = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 157218156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2185, -7480, -12799, -18142, -23509, -28900?\n\"Answer: -12*w**2 - 5259*w + 3086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 68, 178, 344, 572?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qi when two letters picked without replacement from {i: 13, q: 1, h: 1}?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 34*m + 6744*m**2 - 7866*m**2 - 4 wrt m?\nAnswer: -2244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*m**2 + 0)*(-3*m**3 + 12*m**3 - 3*m**3) + 5*m**5 + m**3 - 4*m**5 + 2*m**3.\nAnswer: 13*m**5 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -164*x**4 + 51 wrt x.\nAnswer: -656*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1676.\nAnswer: 5\/1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 4\/(-22) + ((-1176651)\/(-77) - 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-97*(-8)\/(-12))\/(11\/(55902\/(-28))). Is 11735 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((((-288)\/(-20))\/(-18))\/((-2)\/5))*188.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 26)*(2 + 11). What is the remainder when (-6)\/30 + m\/(-10) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 23 = 3*w. Suppose -9*x + 18 = -w*x. Suppose 0 = x*k - 7*k + 320. Calculate the greatest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - (5 + -10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5.2, 1\/3, -2\/11, -0.5, 25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1943 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -18*n**3 - 15 - 3*n + 34*n**3 + 5*n**2 + 12*n - 17*n**3. Let o be t(6). Let f(q) = -q + 5. Let h(i) = -1. Give o*h(v) + f(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 210 (c) 0.3 (d) 1781\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, -3, -12, -25?\n\"Answer: -2*y**2 + y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 10. Let s = 158.9772 - -0.0228. Let m = 159.5 - s. What is the fourth biggest value in m, 3, -3\/8, n?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -5, 2, 4 in descending order.\nAnswer: 98, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - 26\/(-40). Suppose 26559*h - 26561*h - 26 = 2*u, 3*u + 57 = 3*h. Let -168\/5*m**2 + 24\/5*m**4 + 44\/5*m**h + 98\/5*m + j*m**5 + 0 = 0. What is m?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 30*y + 17. Let m be a(12). Let b be (319\/m)\/(1\/(-5)). Suppose 0 = -x - b + 33. What is the greatest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + g - 56 = 5*j, -172 = -5*g - 2*j. Suppose g*d - 23*d = 0. Solve d = -4*q - 0*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 268 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/9 in 2, 1\/64, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {x: 1, d: 2, j: 1, s: 1, i: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19749375 is divided by 68.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -3*a + 27 - 29, -3*q - 5*a - 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/9, -1\/6, 321\/1555?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gihkihggkghihgi. What is prob of sequence hi?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 6*x + 2*x + 5*x + x + 3*x - 2*x + (0 + 0 - 1)*(x + 5 - 5).\nAnswer: 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, 0.023609, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -1108?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1274 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15513.92543 - -15514. Round v to 3 dps.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 90377*a**3 - 58018?\nAnswer: 271131*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000295 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10466 - -10469. What is the nearest to -2\/143 in -1, 0.1, u, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from zazaazazffaafazf?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5373982 divided by 1294.\nAnswer: 4153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12003 + 8445. List the prime factors of f.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 1)*(-10*b - 7*b + 8*b) + 0*b - 4*b + 6*b + (b - 2 + 2)*(-5 + 1 + 2) - b + 0*b + 0*b + 2 - 2*b - 2 + (0 + 1 - 2)*(-b - 2*b + 5*b) + 0 + 0 - b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1028 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2847 + -2578. What is the remainder when 297 is divided by h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.1 + -1.7. Let w = -0.5947 + -4.2683. Let a = s - w. What is a rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**5 + 3151*h**4 - 10*h**2 - 429534*h.\nAnswer: -20*h**3 + 37812*h**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**6 - 156*s**4 + 10*s**3 + 19*s**2 - 757 wrt s.\nAnswer: -240*s**3 - 3744*s + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/10444 and 73\/16.\nAnswer: 41776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 1\/2*i**4 + 17\/40*i**6 + 0*i - 5*i**2 - 4\/5*i**5 + 0*i**3 + 0 - 1\/14*i**7. Solve z(t) = 0 for t.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(-8)))\/(u\/(u\/(u*u*u\/(u*u**(2\/31))*u*u))))**34 assuming u is positive.\nAnswer: u**(-12580\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1793, -3, -15808 in increasing order.\nAnswer: -15808, -1793, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5173 - 5057. Sort -2, k, -3, -3\/2.\nAnswer: -3, -2, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -48211 in descending order.\nAnswer: 1, -4, -48211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1502234 (base 6) to base 9.\nAnswer: -141044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:02 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(972)*2 + -1 + 5 + (sqrt(396)\/(sqrt(12) + -2*sqrt(12)))\/((sqrt(66)*-1 + sqrt(66) - sqrt(66))\/sqrt(6)))**2.\nAnswer: 296*sqrt(3) + 4123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 963.0205 millilitres?\nAnswer: 0.9630205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0110137 to four dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-2)*40\/15. Let k = 0 - -2. Which is the closest to -0.2? (a) k (b) y (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279.33036 rounded to zero decimal places?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*v = -5*n - 3, 5*n = 0. Let f = 2.5 + -3. Let d = -3.5 - f. What is the smallest value in v, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28098 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -25. Solve -8 = b*o - o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.121 + -0.121. Sort 0.3, 5, f.\nAnswer: 0.3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4\/5)\/f**(7\/6))**(-2\/23)*((f*f\/f**(2\/27)*f*f)\/f)\/(f\/((f*f**(1\/14))\/f))*(f**0)**17 assuming f is positive.\nAnswer: f**(94259\/43470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385941 - 14.\nAnswer: -385955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**5\/5 + 18*i**4 + 648*i**3 + 11664*i**2 + 104976*i - 112. Determine m, given that k(m) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.75 take away -0.41?\nAnswer: 48.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 = -33*f + 38*f, 4*f - 3*s = 31 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5341 is divided by 255?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose w + 29 = x*w + 3*b, 2*w - 38 = -b. Suppose -6*v + 4*v + 100 = 0. Calculate the remainder when v is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 455, 1323, 2783, 4847, 7527, 10835, 14783, 19383?\n\"Answer: 2*a**3 + 284*a**2 + 2*a + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1128, -0.041, -2, 5, 0, 1\/5 in decreasing order.\nAnswer: 1128, 5, 1\/5, 0, -0.041, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from {f: 4, n: 4, m: 8, y: 2, s: 2}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 847 + -848.114. Let o = -0.114 - v. Which is the second smallest value? (a) 4 (b) o (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -56507731.\nAnswer: -56507731.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13013406 a multiple of 1791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -74502.92812 rounded to the nearest one thousand?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8 = 0, -2*w = -4*p + 2*w + 56. Suppose -7*x + 4 = -p. What is the third derivative of -4*s**2 + 4*s**x - 6*s**2 - 6*s**2 + 24*s**5 wrt s?\nAnswer: 1440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51+6909.14080731\nAnswer: 6858.14080731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 1. Let o(d) = -4*d**2 - 4*d - 5. Let w(k) = 6*c(k) + o(k). Is 27 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 83362, 166615, 249836, 333019, 416158?\n\"Answer: -y**3 - 10*y**2 + 83290*y + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6) + -3 + sqrt(14)\/sqrt(63) - 2*sqrt(8)*-1*5.\nAnswer: -3 + 64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -623 + 671 + -5 + -1 + 6 + (5 - 2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a**2. Let l(u) be the third derivative of 0*u + 1\/12*u**4 + 0*u**3 + 26*u**2 + 0. Calculate k(l(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, -140717, -0.085?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1882303801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 8*o**3\/3 + 4*o**2 + o - 1. Let d(g) = 3 + 1020*g - 1 + 17*g**2 - 1003*g + 0. Give 6*d(k) - 13*i(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 8*h**3 - 12)*(7*h - 34*h + h) + (-3*h + 3*h - 2*h**3)*(2*h + h + h).\nAnswer: 200*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 946697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 0*v - 3*v - 11, 0 = 3*a - 4*v - 19. Let g(b) = 4*b + 1. Determine g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 326 + -307. Let q(x) = 2*x**2 - 38*x + 3. Let l be q(z). Solve l*b = -7*r + 2*r + 30, -r - 2 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*y - 557 = -13*y - 487, 2 = -w + y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8842?\nAnswer: 2, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-61)\/(64477\/5134))?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6316 divided by -1579.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by 1.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, y: 1, k: 4, u: 4}. Give prob of sequence uyv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -68480 divided by -32?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, 41, -4, 2, 0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 659371*k**6*r**2 + 15*k**2*r**2 - 5601*k**2*r wrt k?\nAnswer: 79124520*k**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**6\/21 - 2*c**5\/35 + c**4\/14 + 2*c**3\/21 + 38. Determine r so that k(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*o**2*z**4 + 20427811*o**2*z + 319235*o*z**5 wrt z.\nAnswer: 552*o**2*z**2 + 6384700*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*a + 42. Let m be (42\/a)\/(8\/40). Calculate the greatest common factor of 189 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3340*j**3*r**3 - j**3*r - 2461*r**3 wrt j.\nAnswer: -10020*j**2*r**3 - 3*j**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, 147 in descending order.\nAnswer: 147, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3) - 14\/(-18) - 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-16)\/6)\/(52\/(-26)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 12. Which is the nearest to u? (a) 0.4 (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13395, 13388, 13395, 13422, 13475, 13560?\n\"Answer: d**3 + d**2 - 17*d + 13410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {x: 3, y: 2, h: 3, p: 3, d: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-3)\/b)\/b*b**(2\/11))**14*((((b\/b**2)\/b)\/b*b)\/(b*b\/(b\/b**(-6)*b*b*b)))\/((b*b**(-1\/12))\/((b**(1\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(-6341\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4811 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1167310 to the nearest ten thousand.\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7\/3 (b) 2 (c) -15 (d) -2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.11 + -0.11. Let l(w) = -w**3 - 185*w**2 - 1593*w - 76. Let p be l(-9). Which is the biggest value? (a) p (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 30 + 497*s - 23 - 16 - 502*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 397856, 1591409, 3580670, 6365645, 9946340, 14322761, 19494914, 25462805?\n\"Answer: v**3 + 397848*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202144380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 444 times 1.194\nAnswer: 530.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4237144 divided by 17954\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 34 = -5*f, -2*x = 3*f + 2*f + 26. Let g be -1*(-2)\/x*4. Let i be g\/(1\/1) - -3. Put i, -3, -5 in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1659753 to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1176 - 1164. Solve -31*m + x*m + 38 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, 2 in increasing order.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqfqyfqfqfqfyyff. Give prob of picking 1 q and 1 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14022 + 310?\nAnswer: -13512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 139\/9 (b) -0.2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9598116263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 25230.\nAnswer: 302760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -11*r + 0 + 0*r**3 + 0*r**2 - 1\/10*r**5 + 1\/3*r**4. Find a such that l(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 2*r + 1. Let y be k(5). Suppose -1791*s - 1745*s = -2936*s - 37800. Calculate the greatest common divisor of y and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14104 - -25343. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkeeqtla. What is prob of picking 1 e, 1 a, and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 224 = g, 2*u - 4*g - 1124 = -3*u. Let y = 81 - -48. Let n = u - y. Is n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r**2 + 111*r - 5. Let k be w(-8). Let p(m) = -m**2. Let d be p(-3). Which is the third biggest value? (a) d (b) -3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**6*q*q**5*((q**(-1\/2)\/q)\/q)**(8\/7) assuming q is positive.\nAnswer: q**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/4 - 29*p**4\/2 + 152722*p**3 + 98053751*p**2\/2 - 610887*p\/4 - 49026861 = 0 for p.\nAnswer: -471, -1, 1, 884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - -3*(-2)\/(-6). Let -2*x**2 + y*x**3 - x**3 - 61 + 63 + x = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 290*r**3 + 132*r**3 + 533*r**3 + 2079*r**3.\nAnswer: 3034*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = -8. Let y = -20 + 36. Suppose 0*l = -l + n + d, -4*l - 4*n = y. Is l less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3)*t*t**(2\/19)*t)\/(t**(2\/9)*t**(-2\/11)) assuming t is positive.\nAnswer: t**(3257\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 233, 307, 381, 455, 529, 603?\n\"Answer: 74*p + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.228 + 0.328. Sort 0.2, l, 3, 4\/5 in increasing order.\nAnswer: l, 0.2, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -327.6374?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s**2 - 2. Let l(y) = 2*y - 12. Let x(b) = b - 12. Let h(o) = 4*l(o) - 4*x(o). Determine m(h(q)).\nAnswer: 224*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 14*s - 8. Determine k(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1284 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.05 (b) -5 (c) 1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 2\/15, 1\/37, -2, 3 in descending order.\nAnswer: 3, 2\/15, 1\/37, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2005*j**4\/4 + 9155*j**3\/3 + 2485. What is the third derivative of y(r) wrt r?\nAnswer: -12030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 2*h. Let c(k) be the third derivative of k**6\/360 + 8*k**3 + k**2 + 28. Let b(r) be the first derivative of c(r). What is u(b(o))?\nAnswer: 7*o**4 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 14*i - 24 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.16 and -258.\nAnswer: -41.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 366020*t**3 - 16745597896*t**2 - 67004719652*t + 753617794410 = 0.\nAnswer: -9, 5, 91507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**6\/540 + 2*x**5\/135 - x**4\/27 - 16*x**3\/27 + 128*x**2. What is g in s(g) = 0?\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6515.302 rounded to the nearest ten?\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38206492?\nAnswer: 2, 19, 502717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 1272845*d**2 + 402593480*d + 31814745700.\nAnswer: -5*(d - 254885)*(d + 158)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 450 + -448. Suppose 13*h - 90584 = -4*l + 12*h, 3*h = -k*l + 45282. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 104 - (6955 - 7038).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmxmllmxxxxlmm. What is prob of picking 1 l and 3 m?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4*(-6 - -2). Put x, 4, 3 in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.493 + -24.493. Which is the smallest value? (a) 0.3 (b) -2\/11 (c) -0.05 (d) 2\/5 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114300 and 228600.\nAnswer: 228600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 2, -4*x - 5*w + 133 = -104. Solve 55*d - 12 = x*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1605 + 1606.15. Which is the third smallest value? (a) 1 (b) k (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**4 + 239*a + 111*a + 3*a**2 + 3*a**3 + 120*a - 1 - 492*a to b + t*a**2 + d*a + l*a**4 + c*a**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from xrrbrkrbxbbxrbribi?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -5*f = 4*k + k - 10, m*k = -10. What are the prime factors of -5 + 2 + 2 + f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*i - 6549*i + 261450 - 11650 = 0 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 3. Let t be j(-3). Suppose 3*v - 5*v + 6 = t. Let q = -1951 + 1959. Solve n = v*n + q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2736) + 1 + 0)*1)**2*-3.\nAnswer: -8220 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -4 + 6 - 14) + -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-11*q - 18*q + 13*q)*(3*q**4 + 0*q**4 + 4*q**4).\nAnswer: -224*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 44*q - 43*q. Suppose -5*s + 32 = -q*y, 4*s + y - 1 = -4*y. Let v be s\/(-6) + 5\/(-15) + 4. Solve 5*l = -5*a - 0*a - 5, 0 = 2*a - v*l - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86685?\nAnswer: 3, 5, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.93 - -0.07. Let o = 462.1 + -433. Let h = 25.1 - o. What is the second biggest value in -2\/5, -0.06, a, h?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -2\/3 (c) -0.163\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 10*d**2 + 12*d - 9. Suppose -2*b + 2*h = -0*b + 30, -3*h + 55 = -4*b. Is n(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -16104410?\nAnswer: -16104415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 1480393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(6) + 5*sqrt(18)\/sqrt(3))\/sqrt(2) - (sqrt(36)\/(sqrt(192) + sqrt(12)) + -1*(-1 + sqrt(3)))**2).\nAnswer: -48\/25 + 38*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Let w = f - 2. Let g be ((-5)\/(45\/(-72)))\/4. Solve w = g*d + 2*t - 5*t - 3, -t = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1949 is divided by 66.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/2306400 and -45\/128?\nAnswer: 9225600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 5*g**2 - 8*g + 8. Let i(j) = -j**2 - 6*j + 5. Let u be i(-7). Let q be (1\/2 + u)*-4. Give b(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-15 + 16) - -17 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/22)\/(((-9)\/(-6))\/((-88)\/(-48))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 1\/5 (c) 7 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3051 and 1469.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 7. Suppose -5*v - 5*b - 40 = 0, 2*b = b - 1. Let a be u(v). Calculate the remainder when (-35 - 0)*12\/a is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*k + 68, 0*k + 5*k = -5*t - 170. Let w = t + 9. Let x = -18 - w. Calculate the remainder when 12 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 3, a: 2, b: 2, g: 1, c: 4}. Give prob of picking 2 t.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 5*w**2 - 2*w**2)*((-2 - 4 - 1)*(-15 + 15 - 2*w) + (w - w - w)*(0 - 3 + 5)) + w**3 - 2*w**3 + 2*w**3.\nAnswer: -23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - j - 4. Let w(t) = -t - 1. Calculate -4*w(c) + y(c).\nAnswer: -3*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*b**5 - 2148114*b**4 + 114353*b**2 - 710 wrt b?\nAnswer: -900*b**2 - 51554736*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 63048 divided by -3\nAnswer: -21016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188067 and 17589.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -22035.5639 to the nearest integer.\nAnswer: -22036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 3868621108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = -98*x + 90 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9796967?\nAnswer: 877, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 756*c**2 - 35340*c - 36100.\nAnswer: -4*(c - 95)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-297)\/935 + (-6)\/(-51).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from -724216.\nAnswer: -724216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-4)*(-20)\/(-14) and 4 + 3\/60*-7*17?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*i, -4*i + 24 = -3*q + 3. Suppose -17 = -p - 3*f, 3*p + 8 = i*f - 1. Suppose -p*b - 25 = -119. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -84.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + -3. Let c be (-3 + 0)\/(-6 - x). Let y be 2\/((-2)\/c) + -2. Solve 0 = 5*q + y + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 38. Let p be j(-7). Suppose 3*n + f = -0*f + 245, 0 = 5*f - p. Does 27 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 18*t.\nAnswer: -t*(t + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkookmwmkkmmmkw. What is prob of picking 2 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*w + 665*w - 1905*w + 783*w.\nAnswer: 176*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12117 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d + 5. Suppose 2*j = -5*m + 48, -j + 2*m + 228 = 258. Let q(k) = 3. Let b(c) = c - 3. Let z(t) = 2*b(t) + 3*q(t). Give j*o(x) + 13*z(x).\nAnswer: 2*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0123110644 to 6 dps.\nAnswer: -0.012311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41425 + 82844 - 41424 - 425*j**3 + 416*j**3.\nAnswer: -9*j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*r - 69*r**3 + 76*r + 54*r**3 - 147*r.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 6)*(-1)\/(-1). Suppose -19 = -8*j + 61. Solve -9*n + 2*z = -5*n - j, -n - 5 = f*z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.28432 and 27303.46?\nAnswer: 27303.17568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.003 and -34260?\nAnswer: 34259.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*n, 0 = 4*y + n - 99. Suppose 6*t - y = t. Let b = 1030 + -1025. Solve -t*p + 10 = -b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 3*i**2 - 2. Suppose 0*c = -4*c + 64. Suppose -2*g = -4*x + 2*g + c, -3*g = x. Suppose 0 = x*p + t - 6 + 1, t = -2*p + 2. Give o(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - -1*sqrt(72) - sqrt(72)))\/(sqrt(36)\/(sqrt(6)*1 + sqrt(6) + sqrt(6)))*5)**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 492 + -471 + -34 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 + 5 + 1. Let q be (-4)\/(-3)*d\/2. Let b(l) = 11*l**2 - 5. Let r(p) = 3 + 2*p**2 - 5*p**2 + 5*p**2 - 11*p**2 + 3*p**2. What is q*b(o) + 7*r(o)?\nAnswer: 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**6*a*a))\/a**(-4\/3))**2 assuming a is positive.\nAnswer: a**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233331*z**2 + 32*z - 31016 wrt z.\nAnswer: -466662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n + 19*n - 360 = -60*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**4 - 4*t**3 + 39*t**2 - 42*t. Let n(c) = 11*c**4 + 8*c**3 - 77*c**2 + 86*c. Let s(q) = -14*i(q) - 6*n(q). Factor s(d).\nAnswer: 4*d*(d - 3)*(d - 1)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*d + 5, -3*d + 5*t + 6 - 19 = 0. Let b be d*2\/(-2)*1. What is the first derivative of 0 + o**4 + 0*o**4 - b wrt o?\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 71*m**2 - 19*m - 7. Let n be u(-2). What is the greatest common factor of n and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*y = -23, 0 = 2*o - 4*y + 6*y + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbdebgxjjbbgxx. Give prob of picking 1 e and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27992\/45 + -3938\/9. Let a = -1048 - j. What is the common denominator of a and -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80*(-3 + (-9)\/(-4)). Let x = s + 30. Is (-295)\/x - 3\/(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvgvvgrgfggftgg. What is prob of sequence vrvt?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497052, -497055, -497058, -497061?\nAnswer: -497064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 32533003 to the nearest one hundred thousand.\nAnswer: 32500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -7\/3 (c) 1594 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32732, -32741, -32750, -32759?\n\"Answer: -9*n - 32723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 40, 60, 98, 160, 252?\n\"Answer: s**3 + s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12705000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52\/3 + 18. Let g = -0.3 - 0. What is the third biggest value in y, g, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -35619030.79907?\nAnswer: -35619030.79907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 100 = -4*k, 5*k + 2*j + j = 101. Suppose -k = -7*r + 83. Let b be 6\/(0 + (-4)\/(-2)). Solve 13 = -u - 4*n - 3, -r = b*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 495662 is divided by 1169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121) + sqrt(121) + 3*(sqrt(121) + 1*sqrt(121)))*1)\/(-2*(sqrt(11) - (sqrt(11) + sqrt(33)\/(2*sqrt(3)) - sqrt(11)))).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -5\/4, -0.06, -0.1, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 67*q + 377. Suppose 15 = 5*y - 0*y, -4*o + 3*y + 447 = 0. Calculate the lowest common multiple of v(6) and o.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3803*k = 3819*k - 400 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000320233635 to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 333734366 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 10*a**2 - 13*a - 8. What is the units digit of u(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2340, -2344, -2350, -2358?\n\"Answer: -l**2 - l - 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y = -16 + 16. Solve 5*p = -4*q, -2*p - 4*q + y - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 5\/3, 5, 0.4, -233\/6, -0.11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 28940*b + 144630. Give z(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 954, 1893, 2798, 3651, 4434, 5129?\nAnswer: 5718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.545 + -3.5449891. Round s to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + h - 3*h)*(249*h + 175*h - 95*h).\nAnswer: 329*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*t + 0*t = 1, 0 = 2*t - 6. Solve 0 = f + d + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 10 = -5*h, -189*h - 4 = 2*b - 190*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 2\/49 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/60)\/(9\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 11*c**3 - 3*c**2 + 3*c**2 - 10*c**3.\nAnswer: c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, -3007 in ascending order.\nAnswer: -3007, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52368.77 rounded to the nearest one hundred?\nAnswer: -52400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5624743 is divided by 311.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9408 + -9312. Calculate the highest common factor of i and 1944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66a1933 (base 11) in base 16?\nAnswer: b3351a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -386 + 693. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -22. Which is the nearest to 1? (a) 2\/7 (b) u (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -733414.\nAnswer: 3667070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.7 - 6. Suppose 7*h - 9*h + 10 = 5*p, 8 = 2*p. Let b = 0.5 + -4.5. What is the nearest to -1 in h, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 8*t + 54. Let k be z(8). Let w be k\/8 + -2 + 438\/136. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1283, -1152, -1021, -890, -759, -628?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(3 + 2) - -1. Sort 0, p, 5, 1.\nAnswer: p, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5. Suppose 4*m - m = x. Suppose 5 + 5 = 2*o, m = 3*q - 3*o - 6. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 14*a - 12. Let r be q(-15). Suppose r*o = -15, -z + 8468 = -0*z + 3*o. Suppose -f - z = -18*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2)\/1) - -53. Suppose 5*m - 175 = 5*y, -156 = 3*y + m - 51. Let n = y + a. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-4)*((-1946)\/(-2085))\/((-2)\/40).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, 4, -3394, -12\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6084 and 676.\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 21 = 5*q, 11*q - 37 = 6*q + 3*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -51, -1, -22, 46, -5, 5 in descending order.\nAnswer: 46, 5, 1, -1, -5, -22, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(-86)*-5*(-2)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2968 is divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 0*s**2 + 2*s - 1\/3*s**3 + 3. Differentiate d(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 15 = o + 2*o, o + 15 = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91379200*g**3 - 27388915*g**2 + 2 wrt g.\nAnswer: -548275200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (3 + sqrt(700)*2) - (sqrt(700) + sqrt(700) + -2)*-4) + 5)**2.\nAnswer: -840*sqrt(7) + 34336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.7961 from -83542951.\nAnswer: -83542949.2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-2)\/4)*-2. Suppose 6*j - z = 71. Suppose -6*q = -0*q - j. Which is bigger: 6 or q?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148486 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, 1\/21, -0.2, -7\/68, 0.4?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, j: 4, o: 4, u: 8, h: 2}. Give prob of sequence ojj.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -370287*i**6 - i**2 + 439389?\nAnswer: -44434440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l**3\/3 - 678710*l**2\/3 - 271481*l\/6 - 6787\/3 = 0 for l.\nAnswer: -13574, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 88, -1991 + 1972 = -2*d - s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + 52. Suppose 0 = -14*v - 20 + a. Solve -15 - 1 = v*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 2, l: 1, b: 4, a: 2}. Give prob of sequence bb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 4:31 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -89*j + 5155. Give p(58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*a + 13*a + 5*a**4 + (-a**2 + a**2 + 2*a**3)*(-5 + 5 - a) + 2*a**4 + 4*a**4 - 4*a**4.\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-4840)\/6)\/(-5))\/((-21)\/(-126)) and 352.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q*w**2 - 154523*q + 524471*w**4 + 36 wrt w?\nAnswer: -2*q*w + 2097884*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3773042 - -31?\nAnswer: -3773011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + -4*-3*sqrt(343) + sqrt(343)*-1*-2*-6)**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387434 a multiple of 614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*68\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -16. Let f(m) = -m**3 + 5*m**2 + 35*m - 148. What is the remainder when f(6) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 130, -2, -1, 6, -11 in decreasing order.\nAnswer: 130, 6, 4, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 42*i + 11. Let l be n(5). Is l at least 246?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 6112130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -40855*n. Let d(p) = 5323*p. What is j(d(i))?\nAnswer: -217471165*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 4*r**2 - 4*r. Let i(x) = x**2 - x + 9. Let n be i(0). Let l be n\/(-3)*(1 - 0). What is the units digit of m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**4 - b + 2. Let k be h(-1). Let x(p) = 3*p + 4. Let c be x(-3). Sort 1, k, c in descending order.\nAnswer: k, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 12 = w, -3*w + 7*w - 17 = 5*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 2. Let q be k(4). Let c(d) = -2. Suppose -3*f + 2*p - 1 + 12 = 0, -5*f = 4*p - 11. Let h(j) = -j**3 - 3. Calculate f*c(g) + q*h(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*r + 9 = 22, 2*t - 3*r = 0. Suppose -8*m = -3*m - 3*b - 322, t*m - 194 = b. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33*t**3 + 80 wrt t.\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-63))\/(1 + 812\/(-792)). Factor -10*o - p*o**2 + 128\/7*o**4 - 288\/7*o**3 - 6\/7.\nAnswer: 2*(o - 3)*(4*o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -17*q**3\/6 - 7*q**2\/2 - 2*q. Let h = -55 - -51. Is s(h) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 - 1) + 1)\/(-2). Let w be ((-1)\/11)\/((-110)\/(-12) + -9). Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/426 and 4 + (-8533)\/852 - (-6 + 8 + -8).\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -206 + 99*r - 205 + 410 + 488*r as n*r + x and give n.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479 rounded to the nearest ten?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/479703 and -101\/2226.\nAnswer: 959406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -105, -223, -337, -447?\n\"Answer: 2*d**2 - 124*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*-8*6\/(-144).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (156\/14)\/((-393)\/917)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.12 + -40.6. Let k = -5.6 + t. What is the nearest to 0 in 0.2, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 951*f.\nAnswer: -f*(f + 3804)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 344 and 33147764.\nAnswer: 2850707704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*q**3 - 59*q**3 + q - q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2218*c - 11337. Determine o(5).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2339530 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.87349 + -0.12651. Which is the nearest to 3\/4? (a) g (b) -9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -99 - 57. Suppose 0 = -3*j + 2*o + 247 - k, -49 = -j - 3*o. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*b = -3*b + 13054, -2*b - 6520 = -v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00589 * -0.7692\nAnswer: -0.004530588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 78738?\nAnswer: 787380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1143468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 7) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 5985. Let x = a - 417. Let w = x + -16780. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24346728?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1033.376994 to one dp.\nAnswer: -1033.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 64, 623, 2176, 5221, 10256, 17779?\n\"Answer: 83*x**3 - x**2 - 19*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49447 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 37 = -5*x, 2*d + 2*x + 31 + 3 = 0. Is (-3)\/(-2) - 54\/d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453 (base 6) to base 7.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/28)\/(((-2)\/(-28))\/((-461)\/(-3227))*-12).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - 3)\/(-10))\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-4 + (0 + sqrt(325) - sqrt(325)) - sqrt(325)) + -3 + sqrt(325) + -2*sqrt(325) + 4))**2.\nAnswer: 240*sqrt(13) + 5236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020010200212 (base 3) to base 14.\nAnswer: -12d9a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -46*b + 7\/2*b**2 + 0 - 1\/6*b**3. Let o be i(-6). What is o rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52743.683 to the nearest one thousand.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 52?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-15 + -50 + 56)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 5625.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18720 + 18736. Solve -i = -28*l + 26*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1800 and 79783200?\nAnswer: 79783200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v = 22*v + 5*x - 40, v - 35 = -8*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.69 - 0.11. Suppose 25*r + 69 = -6. Which is the nearest to r? (a) j (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 435*k + 2 - 445*k)*(620*k + 3*k**3 - 620*k + 5).\nAnswer: -30*k**4 - 9*k**3 - 50*k - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 9*d - 184058. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(224\/(-4)))\/((-14)\/168*3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8683848703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525140727 to the nearest integer?\nAnswer: 22916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w**2 + 2 - 5 + 3.\nAnswer: 35*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-64)*(22 + -10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*l + 3 = -402*l + 289 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, o: 1, p: 2, l: 4, y: 1, c: 4}. Give prob of picking 1 l, 1 y, 1 o, and 1 c.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 0*u**3 + 3*u**3)*(-1 - 1 + 4) + (0 - u + 0)*(5*u**2 - 2*u**2 - 4*u**2) + 2*u**3 + u**3 + 0*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/35394 and 115\/16456.\nAnswer: 17130696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1402*b + 2. Let o(p) = -1173505*p - 1675. What is -6*o(h) - 5025*w(h)?\nAnswer: -4020*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 755 = 3*i - y, -4*i + y + 1008 = -y. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4962 by 397.\nAnswer: -4962\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Let t = n + 5. Solve -2*u = -t*z - 6, -u - 5*z + 5 = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 10*j - 526. Let p = 119 - j. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 599 = -0*h + 2*h - 3*b, -4*h + 1223 = -b. Suppose 11*k - h = 199. Suppose -2 = 2*a - 4*j - 10, 0 = 4*a + 2*j - k. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/6 (b) -1\/5 (c) -106 (d) 5 (e) -4 (f) 3\/8 (g) -37.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3842.1 + -3659.19. Let w = 182 - l. What is w rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.3 - 17. What is the closest to -2 in -1, 3, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130.82 - -2.18. Let b = -7770.86237 - -7903.863. Let r = t - b. Round r to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -34, 133, 46 in descending order.\nAnswer: 133, 46, 4, 0, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 14) to base 16\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by (1 + -6)*(4 + -8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence go when two letters picked without replacement from ssnbgongggsgsgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/((-256)\/144))\/(12\/(-40))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 4\/9, -0.5, -3, 1\/7 in descending order.\nAnswer: 4\/9, 1\/7, -0.04, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 78.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 53. Suppose 5*r - w*b = 197 + 95, 5*r - 5*b = 300. What is the highest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37385 is divided by 18687?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75 - -129. Let i be 6\/(-4) + t\/12. Suppose 0 = 3*k + h - 82, -15 + 133 = 5*k - i*h. What is the remainder when 51 is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.72472t to milligrams.\nAnswer: 60724720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a - 510 = -6*a. Suppose j - 4*j = -3. Is a\/(-225) - ((-54898)\/15 - j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**3 - f**3 + 17*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601779567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/5 + 3*b**3\/5 - 673*b**2\/5 - 135*b = 0. What is b?\nAnswer: -27, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 677503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**3\/2 - 3549*s**2\/2 - 21375*s\/2 - 32103\/2 = 0. What is s?\nAnswer: -3, 1189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2572585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**2 + 12*o**2 + 16*o**2 - 42*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -116. Let c(y) = y**3 + 18*y**2 + 7*y + 6. What are the prime factors of c(j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 at least -17211\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/18)\/((-4)\/6). Let z = -284359 + 284377. Which is the closest to r? (a) z (b) 0.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276*j = 87*j - 1134. Let r(t) = t**3 - t**2 - t + 1. Let u(q) = -q + 6. Let a be u(7). Let m(c) = -5*c**3 + 2*c**2 + 6*c - 6. Determine a*m(z) + j*r(z).\nAnswer: -z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -141 - -82877?\nAnswer: 82736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*w + 10. Let y be w + -1 - ((8 - 13) + 4). Solve 0 = 5*j + y + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*k + 252. Suppose -2*g - 40 = 3*g. What is the remainder when k is divided by g\/(-10)*90\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 1313600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662588644.\nAnswer: 2, 59, 1423, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 12) in base 7?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 15 (b) 0.5 (c) 11\/10 (d) 0 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*k - 6*k - 64, -3*k = -3*v + 48. Let w be (-1)\/2*k\/8. Let m(l) = -5*l**3 + 2*l - w + 2*l**2 + 2 + 7*l**3 - 4*l. Determine m(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7336 and 33929.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 80*d - 47. Let q(t) = 4*t**2. Give y(q(b)).\nAnswer: 320*b**2 - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1722121350 to the nearest 1000000.\nAnswer: 1722000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -7. Let b = -2 + n. Suppose b*u = 5 + 25. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53786.2086 + -2\nAnswer: 53784.2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -25 (c) 0.5 (d) 3\/8 (e) -0.4 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -113 + 13 + 3.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:42 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93 and 167799?\nAnswer: 5201769","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0871335716 to 3 dps.\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, -4, -1\/8, -1\/15399 in increasing order.\nAnswer: -4, -0.5, -1\/8, -1\/15399, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/7 + 172*k\/7 - 232.\nAnswer: -4*(k - 29)*(k - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*f**5*n + f**3*n**3 + 24*f - 2*n**3 wrt f.\nAnswer: -360*f**3*n + 6*f*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = 180. Let c = -34 - b. Is 10 a factor of 24\/(24\/80 + (2 - c))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-3) + (-280)\/84. What is the third biggest value in -21, n, -0.2?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004975 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**5\/2 - p**3\/3 + 2*p**2 - 2*p. Let v be c(3). Let n = v + 1533. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (17 - 31) - (-1 - (3 + -50))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*y + 40 = 7*d, y = 2*d - 13. Suppose 0*u = -u + d. Let h(v) = 4*v + 11. Calculate the remainder when h(-1) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -31*x - 35 - 2. Solve q - b - 7 = x, 106 = 4*q - 3*b + 81 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133430 < -134947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1690228425 divided by -338045685?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-66) - (-567)\/33. Suppose -4*j + x = -t, -2*j = 3*t - 0*t - 5. Solve -5 = -j*y + 9*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8144 + 9667*l + 16607 - 13018 with respect to l.\nAnswer: 9667","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*j - 459 = 0, -5*b + j + 479 = -2*b. Suppose 3*p - b = -4*f, -f + 4*p + 2 + 28 = 0. Suppose 1140 = 41*i - f*i. Round i to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/76 + (-27)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -79.6371 * -18\nAnswer: 1433.4678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -4\/1404379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/(-128)*4\/(-3). Let t be 3\/5*15\/12. Let n = t - b. What is the third smallest value in 3, n, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020677 rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (((-56)\/12)\/7 + 34\/15)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Let m(n) = -n**3 + 7*n**2 + n + 2. Let a be m(6). Suppose 0 = -x - t*x + a. Calculate the highest common factor of x and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169957 is divided by 3026.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34346637?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/16 - 1\/16. Let y(i) = 2*i**2 + 2*i + 1. Let u be y(-2). Suppose 3*s + 5*j + u = 1, -5*s + 14 = -2*j. What is the closest to 2\/3 in 0, s, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 + 3*k**2 + 5*k - 7. Let b(v) = -8 + 6*v + 19818*v**3 + 8*v**2 - 19823*v**3 - 4*v**2. Let n be 2\/7 - 40\/(-7). Calculate n*x(t) - 5*b(t).\nAnswer: t**3 - 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 22204?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, e: 3, g: 1, d: 5, z: 1}. What is prob of picking 2 s and 1 e?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from pmndnzb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 3*f - 33. Let d be b(-5). Let c be (-64)\/288 - d\/72. Factor 1\/8*i**2 - 1\/8*i**3 + 5\/8*i + c.\nAnswer: -(i - 3)*(i + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 + 224*o**2 + 697*o - 46646. Determine m(75).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212\/23*a**2 - 26\/23*a**3 + 60\/23 - 422\/23*a = 0. Calculate a.\nAnswer: 2\/13, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7178011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -35*h**2 - 10*h + 17. Let k be (12\/8)\/((-2)\/4). Let w(i) = -12*i**2 - 3*i + 6. Let b(s) = k*p(s) + 8*w(s). Factor b(v).\nAnswer: 3*(v + 1)*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + -4 + sqrt(98) + -1)**2 + -2)*-3 + 5 + 5.\nAnswer: -380 + 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2 + 5 - 3 + 5*x. List the prime factors of k(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-2)\/(-76)))\/1. Let k = z - -25. Let a = 12 - k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (66*b + 50*b + 48*b)*(6 - 10 - 13)*(2*b + 2*b - 2*b) as y + g*b + k*b**2 and give k.\nAnswer: -5576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(2\/7))\/h)**(1\/5))**44\/(h**3\/h**(-9))**7 assuming h is positive.\nAnswer: h**(-3028\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 381056 divided by -2?\nAnswer: -190528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -26\/113337, 1\/6.\nAnswer: -1\/2, -26\/113337, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 349 - 677\/2. Let s = -11 + v. What is the closest to s in -1, 5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z - 3. Let k(g) = 17*g - 6. Let m(l) = 9*d(l) - 4*k(l). Calculate the remainder when m(8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 + 0*v**4 + v**4)*(5 - 3 - 390*v + 533*v).\nAnswer: 429*v**5 + 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8*h + 33 = -3*h, 79*q - 57 = 74*q - 4*h for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 69523669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 6*f. Let w(n) be the third derivative of -n**4\/12 - 16*n**2. What is q(w(m))?\nAnswer: 12*m**2 - 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7671 = 6*f + 2019. Suppose -12*o - f = -15*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + (-78)\/24?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.34? (a) 22\/3 (b) 17 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 393 = 4*o + a, 2*o - 77 - 114 = 5*a. Let t = -6 - -5. Let y(d) = 15*d**2 + 2*d + 1. Let i be y(t). Calculate the highest common factor of i and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 862841 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59.2 - 15.7. Let s = g + -43. Let v = 4 + -8. Put -0.1, v, s in decreasing order.\nAnswer: s, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - o + 30362 = 0, -9*c + 7*c + 20246 = 3*o. Suppose 156*z + c = 166*z. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 733 - 3101 = -4*v, 4*v + 3810 = 2*c. What are the prime factors of c?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-35)*45\/(-42)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-354)\/14455)\/(((-8)\/4)\/(50\/15))?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182787 + 517035 = 5864*q for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -10. Let r be (-42)\/(-1) + g\/(-3). Calculate the remainder when 22 is divided by 10*(r\/10 + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/2 and 65\/25008?\nAnswer: 25008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 883?\nAnswer: 7947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 957901 and 535507.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u = 22*u - 926. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/4 + 21*m**3\/4 - 27*m**2\/4 - 113*m\/4 - 33\/2.\nAnswer: (m - 3)*(m + 1)**2*(m + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 269c53?\nAnswer: 269c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + 24420322?\nAnswer: 24421101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2000*h**3 + h**2 + 8*h + 9. What is the hundreds digit of b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**3*t**3 - 44*o**2 + 38*o*t**2 - 3179*t**3 + t**2 wrt o?\nAnswer: 3*o**2*t**3 - 88*o + 38*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/117257 and 17\/11725700.\nAnswer: 11725700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4419452?\nAnswer: 2, 263, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {o: 1, k: 2, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -388.65 to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93 - -136. Suppose 0 = -j*q + 48*q - 1245. 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: Factor -h**4 - 1575*h**3 - 14121*h**2 - 42309*h - 42282.\nAnswer: -(h + 3)**3*(h + 1566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16847 and 0.2.\nAnswer: 3369.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -27*(19\/(-76) + (-1246)\/8) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -458 divided by -71272\nAnswer: 229\/35636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-28))\/(5\/(-245)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 967162*c**3*j**2 + c**3*j + 123*c**2 + 20*c*j wrt j?\nAnswer: 1934324*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 - 45549*m**3 + 409758*m**2 - 910476*m + 546264 = 0.\nAnswer: 1, 2, 6, 15174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 605 and 275?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5069971108, 5069971109, 5069971110, 5069971111, 5069971112, 5069971113?\nAnswer: 5069971114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q + 3. What is r(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81210 <= 81231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 + 55*a**4 - 370*a**3 + 480*a**2 = 0.\nAnswer: -16, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-754)*7\/((-4116)\/(-91))?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 + 5*r**2 - 8*r + 15. Let c be n(3). Solve -3*d - 246 = -c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 456. Suppose 3*h - t - 87 = 0. Calculate the remainder when h is divided by (-205)\/(-9) - 2\/(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.61229l in millilitres?\nAnswer: 79612.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 + -4. Suppose 0 = 3*k + 6, i + k = 3*k + 2. Let j be (-16)\/(-40) - i\/(-5). Which is the second smallest value? (a) r (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, d: 5, n: 3}. What is prob of sequence dd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12123648 and 31\/5760?\nAnswer: 60618240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(12)\/sqrt(6) + 5 + sqrt(72).\nAnswer: 7*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0136, 2, -2, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*g + 6*q - 2*q, 5*q - 18 = -3*g. Let m(s) = s**3 - 6*s + 24. What is the hundreds digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-32)\/(-9) + -2. Let d = 712.3 - 712.7. What is the nearest to 0 in -4, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) 0.047 (c) 4 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1038 - 962. What is the remainder when 163 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*11\/(-132) - (-170)\/40\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 27*h**3 - 11*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-6177)\/27 - 1. Let w = i - -226. Let y = 1.3 - 0.9. Which is the nearest to 0.1? (a) w (b) -6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4720667 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 3 + (sqrt(252) - sqrt(252)*1) - (-5 + (0 + sqrt(252))**2 + 0)).\nAnswer: -956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0237216678 to six dps.\nAnswer: -0.023722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 3434430?\nAnswer: -3434410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 964 by -2.\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 41*h**3 + 2*h**2 + h. Let a be w(-1). Let p = -40 - a. Suppose 3*k + 3*x = 132, 4*k - k + 5*x - 124 = p. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*v - 816 = -402*v. What is the fourth smallest value in v, -5\/4, 4, 0.7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -45 (c) 1 (d) -8 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 8*c + 4 = 0. Let l be c\/((-2)\/(-4 - -3)) - -6. Solve -3*b + 3*v - 2*v + 4 = 0, 4*v + l = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-133)\/(-190))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.13 - 40. What is the smallest value in j, -4, 3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23789923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22515 is divided by 130?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*h - 30, -2*w + 51 = h - 0*h. Suppose k = w + 8. Let n = -19 + k. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 3*k + 3. Let d be 2\/(-4) - (-30)\/(-20). What is x(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -226, -966, -2220, -3982, -6246?\n\"Answer: u**3 - 263*u**2 + 42*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 1174951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -36189.\nAnswer: -36189.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -356, -526, -768, -1106?\nAnswer: -1564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 4 + 4)*(46*v - 77*v + 11 + 34*v) as y*v + g + h*v**2 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let w(t) = t**2 - 234 + 247 + h*t**2. Give w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.8730957 rounded to 2 decimal places?\nAnswer: -86.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2951975t in micrograms?\nAnswer: 295197500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/23, -0.4, 0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55090264 + 55090264 + 7079*l**2)*(3 - 3 - 1).\nAnswer: -7079*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -11*b**3\/2 + 3*b**2\/2 + 6*b - 14. Let o(x) be the first derivative of r(x). Differentiate o(h) wrt h.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-8*(-1334)\/40020*(-75)\/2\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/11 - 14*o**3\/11 + 62*o**2\/11 + 14*o\/11 - 60\/11 = 0. What is o?\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 81\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 508 - 506. What is the smallest common multiple of i and 788?\nAnswer: 788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -570379*b**2 - 602786*b wrt b.\nAnswer: -1140758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 + 2*n**4)*(-n + 3*n - 4*n + 1).\nAnswer: -4*n**5 + 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w - 15 = 41*w. Suppose 3*u + 2*m - 4 = 0, 3*u - w*m = -2*u + 32. Which is the nearest to 0.06? (a) 0.4 (b) 0.8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 12. Let j = -160019\/4 - -40005. Put -3, m, j, 0.5 in decreasing order.\nAnswer: m, 0.5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/3*(-12)\/(-16)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from xjxxxxjxxjxjxxxxxx.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202391.\nAnswer: 7, 29, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 746341331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.16 + 291.84. Let y = -294.905 + r. Let t = y - -0.9. Round t to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 824 - 714. Let d(m) = m**3 - 2*m**2 + 1. Let q be d(3). What is the greatest common divisor of h and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -101\/22 less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 757 = -2*z, 229 = r - 2*z + 6*z. List the prime factors of r.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 12) to base 16.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/((r**(-5)\/r)\/r*r*r)*r*r)\/r*r)\/r)**(-2\/61) assuming r is positive.\nAnswer: r**(-16\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1412495380 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4914 and 7182?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*sqrt(78)*3)\/(-2*sqrt(18)\/sqrt(3)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (2 - 3 - 4)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -12596.\nAnswer: -1\/6298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2950.9519661299 and -11.\nAnswer: 2939.9519661299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b5b515 + 4?\nAnswer: 2b5b519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Let f be g(5). Suppose f*w + 2*w = 110. Calculate the lowest common multiple of 16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 447, 835, 1453, 2379, 3691, 5467, 7785?\nAnswer: 10723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) 0.2 (c) -2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.541, 25, 5 in increasing order.\nAnswer: 0.541, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -10*a - 14. Let i(o) = -3*o**2 + 2*o**2 - 1 + 3*o**2. Calculate the smallest common multiple of 6 and i(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89a + -12?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 5*m. Suppose l - 5 + m = 0, 4*z - 143 = -5*l. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2 + 8*g + 4*g**2 - g**2 + 4*g wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 7.53.\nAnswer: 8.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.4 - 8. Let n = -0.4 + z. Let w = 0.7 - 0.7. What is the closest to n in 5, w, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6600735.\nAnswer: 3, 5, 146683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 12) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00652 plus -177504?\nAnswer: -177503.99348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1752 = -2*c - 2*x, 5*c = 4*c + 3*x + 880. What are the prime factors of c?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 203, 1622, 4253, 8096, 13151, 19418?\n\"Answer: 606*n**2 - 399*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j*j*j\/(((j\/j**(-1\/5))\/j)\/j))\/j))\/j)\/j*j**8)**48*(j\/(j\/j**(-2\/7)))**(-30)*j*j\/(j**(1\/3)\/j)*j*j\/j**(1\/4) assuming j is positive.\nAnswer: j**(110287\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:21 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or 19?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3027928873?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*k = -46, -2*k + k + 50 = b. Let w = b + -4. Let m = w - 46. Solve -m*y - 6 = -6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114732959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iistiddiiinnsisdsk. Give prob of sequence kdin.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21001001122 (base 3) in base 8?\nAnswer: 416472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862983 is divided by 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 33*i + 487. Calculate g(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 0.14, -165?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2541 = 5*v - 514. Let f(r) = -6*r**3 + 3*r**2 - 5*r - 4. Let d be f(4). Let j = v + d. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2796 and 667545.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5 = 5. Let b be (-2170)\/(-49) - (-4)\/(-14). Let j = b - 47. Sort j, 12, g in decreasing order.\nAnswer: 12, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20894 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 56 = 4*y + 5*m, -86 + 67 = y - 2*m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36850*h**3*q**3 + 240*h**3*q - 64*h**3 - h**2*q**3 + 2*h*q - 2*q**2 wrt q.\nAnswer: 221100*h**3*q - 6*h**2*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74739 (base 12) to base 3.\nAnswer: -21210001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -39*c**3 + 66*c**2 - 4*c + 12. Let b be o(-5). Round b to the nearest 10.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -32188?\nAnswer: 32182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 231109351?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*sqrt(28) + sqrt(7)))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 + 28. Suppose -3*n = -w - 14, w + 3 = 2*n - g. Let p(i) = -2*i - 4. Let t(z) = -5*z - 9. Calculate n*t(f) - 7*p(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 2 + 2)*(-122 + 17 + 25) - p - 1 + 1 - 2*p - 4*p + 5*p + (-2*p + 6*p - 2*p)*(-2 + 0 + 3).\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one halves of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19204, 19132, 19060, 18988, 18916, 18844?\nAnswer: 18772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + (sqrt(64) - sqrt(4) - sqrt(4))) + sqrt(11) + (3 + sqrt(11))**2 + -4.\nAnswer: 16 + 22*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w + 1\/2*w**2 - 1\/3*w**3 + 5. What is the second derivative of f(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 17 - 3\/2*t**2 - 2*t + 0*t**3 + 1\/4*t**5 + 1\/4*t**4. Let p(f) = -4*f**3 - 2*f**2 + 2. Give 3*p(u) + 2*r(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -4 + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose 3*x = 2*h + 7, -3 - 8 = -3*x + h. Solve 5*i = -c*w + 8, 4*i = x*w - 0*w + 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -63.4999 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -961603\/56 - -17170. What is the common denominator of -85\/18 and l?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - s + 5*q - 11 = 0, -4*s + 3*q = -41. What is the units digit of 94\/s + 6\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*t**4 - 404*t**3 - 620*t**2 - 12*t = 0.\nAnswer: -1, -1\/51, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-6)*((-44408)\/(-549))\/(-26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Suppose 4*j - 3*j = -y + 11, 5*j + 45 = k*y. Let q = 189738 + -189668. Calculate the highest common factor of y and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01582080539 rounded to 6 dps?\nAnswer: 0.015821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(17)*1 - 4*sqrt(68)\/sqrt(4) - (1 + sqrt(1088) + 5 - sqrt(1088)).\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8651, 8561, 8415, 8213, 7955, 7641?\n\"Answer: -28*m**2 - 6*m + 8685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3 - 1 = 0. Let f(z) = 8*z + 4. Let k be f(h). Let l(n) = 63*n + 190. Let u be l(-3). Which is the closest to -1\/5? (a) k (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*r + 1221673 = 1221670, 2*r - 6 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 843527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 w, and 1 p when four letters picked without replacement from {d: 1, w: 2, p: 2, o: 5, q: 2, e: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)*1 + (sqrt(28) + -1)**2.\nAnswer: 5*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 2*g - 3*g**2 - 6*g**2 + 12*g**2 as o + u*g**3 + k*g + y*g**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.9747l in millilitres?\nAnswer: 605974.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n**4 - 158*n**3 - 68*n**2 - 8*n = 0.\nAnswer: -2, -2\/7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*r - 13, 0 = 2*r + r - 4*y - 9. Let x(f) be the second derivative of f**3\/6 + 2*f. Let j(c) = 4*c. Give r*j(b) + 2*x(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*r + 11*i - 73, 5*i + 115 = -5*r - i + 113 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 64 = 2*b - 0*a, -2*a + 96 = 3*b. Suppose -5*n + n - 2*d = -26, 4*n = 4*d + b. Solve -3 = -n*m + 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by (-2)\/(-6)*(-5 - (-5 + -36)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -20*a**5 + 345*a**4 - 745*a**3 - 2255*a**2 - 795*a + 350 = 0.\nAnswer: -1, 1\/4, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10 + 21 + 2*s - 8 + s**2. Let m be p(0). Which is the second biggest value? (a) 1 (b) -3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 + 0*p**2)*(2 - 2 - 1) + 35*p**2 + 15*p + 35*p - 44*p - 8*p + 30*p.\nAnswer: 33*p**2 + 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 3*g + 4. Let n be d(-3). Suppose n*l - l = 0. Let v be l\/1*(-4)\/8. Which is greater: v or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37c8 (base 14) to base 9\nAnswer: 14366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 125\/(-3) + (-3 - -2). Let p = -43 - j. Let a = -1338 - -1337.5. Put a, p, 0.3 in descending order.\nAnswer: 0.3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04344 + 3.04344. What is the nearest to -38 in 2\/17, v, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (900\/24)\/25*22\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, u: 2, q: 1, p: 3}. Give prob of sequence qux.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70226798 to the nearest integer?\nAnswer: 8380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*d - 25715 + 26419 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 - -79. Solve m = -3*m + 2*r - 12, -f*r + 6 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 28, 39, 50, 61?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 51*6\/(-81)*3*6. What is the common denominator of (-234)\/80 - (q - -67) and -95\/22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by ((-36)\/2)\/(45\/30)*504\/(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a**2 + 37*a + 46. Let y be f(-4). Calculate the highest common divisor of 14 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 7*i + 35. Let z be h(-10). Suppose z*p = -t - 17, 0*p + 10 = -p + 2*t. Calculate the least common multiple of (p - (-56)\/12)*36 and 42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 147095897111*n**2 + 147095897052*n**2.\nAnswer: -59*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**3 + 82*l**3 + 12*l**3 + 14*l**3 + 128*l**3.\nAnswer: 279*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.5 (b) 4.7 (c) -274 (d) 166\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1636.3341 minutes to hours.\nAnswer: 27.272235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10749642*x**2 - 2*x - 48187381 wrt x?\nAnswer: -21499284*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8333*f**3 - 2698*f**3 - 2819*f**3 - 2819*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-l + 2*l + l) + 25*l - 15*l - l)*(-27*l**2 + 3*l**2 + 13*l**2).\nAnswer: -121*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - -222?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - -2)) + (5 - (1 + 8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*k - 9*k. What is the remainder when 39 is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290679?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 175 + 4*h**3 - 175.\nAnswer: 4*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**2 - 12*y**2 - 21*y**2)*(105*y**2 - 129*y**2 + 117*y**2).\nAnswer: -2511*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - p + 2. Let k be q(1). Suppose 5*v - 8 - 18 = o, -3*v = -2*o - 10. Suppose 4*w + v = 2. Which is the nearest to w? (a) k (b) -2\/5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21330164 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 - 338 = 7*a. Let r(x) = -x**3 + 462 - 2*x**2 + a*x - 923 + 464. Suppose -3*h = 2*h + 15. Give r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -b2723?\nAnswer: b2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3803543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10104?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 + 3. Let s(z) = -6*z**2 + 1. Let v(k) = 3*q(k) - 4*s(k). What is the tens digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = k - 5*k. Suppose 0*b = -b + k*l - 3, -3*b + 2 = -4*l. Let t be (-3)\/(-6)*5*b. Solve -t*f + 32 = 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5880.512m to kilometers.\nAnswer: 5.880512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1464, -2813, -4048, -5169?\nAnswer: -6176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 266 + -60. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n - 2. Let a be r(4). Let q be a\/(-5) + 6\/15. Suppose -2*c + 3*c - q = 0. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -124. Let g = -6 - m. Which is the second smallest value? (a) 5 (b) g (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = -21*j + 399. Solve -16 = -j*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255727*d*m + 297562*d + m wrt m.\nAnswer: 255727*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-648) + 41589424\/292896?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 337*f**5 + 8*f**4 - 2*f**3 - 4*f**2 - 1105*f + 3284 wrt f?\nAnswer: 6740*f**3 + 96*f**2 - 12*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16439409 to three dps.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14512.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 - 35 + 15)*(-3 + 3 + 1)*(8 + 4*s**3 - 8).\nAnswer: -284*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3297.7 + 3298. Put 1\/6, y, 1\/4 in descending order.\nAnswer: y, 1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352840322 is divided by 2107.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05086092 * -0.3.\nAnswer: 0.015258276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 5*z - 8*z = 3057510. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.03, 24, 2, -0.43, 5, 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 0.44165.\nAnswer: 0.34165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= 233\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 639*v**3 - 2625*v**2 - 4527*v + 6510 = 0. What is v?\nAnswer: -217, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 12893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**4\/7 - 88*l**3\/7 + 10*l**2 + 624*l\/7 + 360\/7 = 0.\nAnswer: -15, -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -0.3, 42\/11 in descending order.\nAnswer: 42\/11, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1805*f - 43430 - 31722 = 1155*f - 2034*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623359917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 36*w**3\/5 - 3*w**2\/5 + 36*w\/5 - 12\/5 = 0. Calculate w.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27245*t + 54573*t - 27278*t.\nAnswer: 50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -964*v**4 - 445*v + 446*v + 1010*v**4 + (2 + 1 - 5)*(-4*v**4 + 5*v**4 - 6*v**4).\nAnswer: 56*v**4 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, 408, 5, 3 in ascending order.\nAnswer: -5, 0, 3, 4, 5, 408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7*s + 5 = 0. Let f be ((-8)\/42)\/(s\/(-3)). Does -2 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 490*h - 488*h - 47, -9*h + 4*w + 194 = 0 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z*(z**29*z)\/z*z*z*z))\/z**26)**48)**43 assuming z is positive.\nAnswer: z**(-121776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s + s + (0 + 3 - 1)*(-s + 0*s + 3*s) - 1 + 1 + 2*s + 1489974 - 1489974 - 1080*s.\nAnswer: -1073*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5825810 by -1165162.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.24 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 137*j**3 - 43*j**3 + 2*j**2 - 8*j - 89*j**3 - 51*j**3 - 1 to the form l*j + i*j**3 + x*j**2 + a and give i.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q + 37. Let k be w(-8). Suppose -34760 = -5*j - k*z, -3366 - 10523 = -2*j + z. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -6*u + 10*u. Let g = -11 - u. Which is the second smallest value? (a) g (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(21\/(-63))\/((-1)\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-13\/4)*u)\/u)*u*u*u*u\/u**(-16))\/(u\/(u*u\/(u\/(((u\/u**20)\/u)\/u))*u)*u*u**27\/u*u) assuming u is positive.\nAnswer: u**(-99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsl when three letters picked without replacement from lllssslllslsl.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -449*p**2 - 12*p - 158. Let u(f) = 112*f**2 + 3*f + 40. Let g(k) = 9*u(k) + 2*x(k). What is the second derivative of g(o) wrt o?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.1 (b) -0.31 (c) -1\/7 (d) 13 (e) 2 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 + 5*l**2\/2 - l\/2 - 5\/2.\nAnswer: (l - 1)*(l + 1)*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cjccjjccjccjjjjcccj.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 17. What is the third derivative of -30*n**2 + 9*n**2 - 36*n**4 + 5*n**q - 9*n**2 wrt n?\nAnswer: -744*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7588 or -6750?\nAnswer: -6750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 188664347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 10*s + 117 = 0. Let w = s - -119. Suppose -3*o - 3 = -0, 0 = w*v - 4*o - 140. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -177697*d + 11372608. What is b(64)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 15 = 7*t. Suppose 4*d = t*n + 28, -2*d - 4*n - 11 = 1. Factor 1 + 1 - 2*r**d + 0.\nAnswer: -2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18200 by -40.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(2)) + (-2*(sqrt(2) + sqrt(4)\/sqrt(2)))**2 + ((sqrt(2) - (sqrt(2)*1 - sqrt(2))) + 4)**2 + (sqrt(96)\/sqrt(3))**2.\nAnswer: 6*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1130 and 2832684.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200222010 (base 3) to base 16.\nAnswer: -1698f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 50. Suppose 7 = 7*l - o. Solve 0 = -0*h + 3*h - 9, -2*p + l = 3*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1576 = -4*u + 56*u + 432 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Let k = 2 - u. What is the remainder when 2 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -125. Let a be (2 + (-6)\/21)*c. Calculate the highest common factor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-8)\/6. Factor 2*l**2 - 2*l**2 - 2*l - l**h + l**3.\nAnswer: l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/(-16)*(-2 - 2). Suppose -j = -z*j + 20. Solve 0*h - j*n = h - 6, 5*n - 7 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**12)**(6\/7)*((d*d**(-40))\/d)\/(d*d*d**6*d) assuming d is positive.\nAnswer: d**(-271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 8. Let a = 379 + -379.1. What is the nearest to a in 0.4, f, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40268.2*-911\nAnswer: -36684330.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1122\/13 + -5051\/65. What is the common denominator of l and (-72)\/352 - 1\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*3\/(-15)*-1. Sort -3\/7, j, 1 in descending order.\nAnswer: 1, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2027 is divided by 68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 1205*o**2 + 3788197*o\/5 + 567547739\/5.\nAnswer: -(o - 6611)*(o + 293)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -108*y**2 - 1080*y + 2. Let w be h(-10). Solve o = -w*l + 2, 0 = 26*l - 29*l + o + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3103 in 1\/5, 4, -405\/31?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/8 + 3\/(-6). Suppose -y*a + 3*j + 15 = 0, 5*a = -5*j + 14 + 21. Let f = 10 - a. Solve -z = -0*w + 5*w + 7, 2*z = -w + f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-188)\/(-60) - 98\/60?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3697.\nAnswer: 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134246553 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 + 4*f. Let h be u(2). Suppose -2*x + 7*x - 235 = h. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1187740 by -296935.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*t - 3*y + 28 = -226*t, t - 22 = -3*y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -16*d**6\/15 - d**5\/20 + d**4\/12 - 4*d**2 - 87*d. Find the third derivative of y(b) wrt b.\nAnswer: -768*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 8*w**2 + 10*w + 13. Let r be f(-9). Solve -5*m + 2 + 3 = 3*p, r*m + 8 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5985 + 5975.159. Round s to 1 dp.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2424*z**2 - 1437*z**2 - 1008*z**2.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 860421*l**4*t**2 + 3*l*t**2 + 23*t**2 + 3*t + 409 wrt l.\nAnswer: 10325052*l**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/7))**40 assuming i is positive.\nAnswer: i**(200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 73.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 940\/(-2784) + 2\/6. Let b(p) = 2*p**2 - 27*p + 25. Let j be b(1). Which is greater: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 489.8211 nanoseconds?\nAnswer: 0.0000004898211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176086014367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p + 48 = -92 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8276948159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.21 and 1223.\nAnswer: 1221.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/7 - 6066\/(-2359)*(-12)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*k - 5533 + 5533 = 0. Solve 9*r - 23*r + 42 = k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222002 (base 3) to base 10.\nAnswer: -704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let c(w) = w + 6. Let m(o) = 5 - 2 - 4. Let b(d) = c(d) + 6*m(d). Calculate t(b(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.55 + 0.5499966. What is a rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823639771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653364179?\nAnswer: 13, 17, 2956399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20762b (base 12) to base 15.\nAnswer: -a148e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*l + 266*l - 1000*l - 91*l.\nAnswer: -1439*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2493*(-4)\/468 - 21.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551759 is divided by 15743?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405191 times -0.28?\nAnswer: -393453.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 304021300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -88. Suppose 0 = 2*b - c - n, -3*b - 4*c = -4*b + 41. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 12 = 0, 2*t = 5*v - 486 + 2050. What is the units digit of 4\/10 - t\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251 + 21.528\nAnswer: 272.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331064 and 6158184.\nAnswer: 412598328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + (7 - -9) - 17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 53 = -4*o, 4*f - 3*o + 26 = 5*f. Suppose f*p - 7 = 10*p. Sort 4, -1, p in ascending order.\nAnswer: -1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-3 - -2) + (1071\/(-85) - -14). Which is the fourth smallest value? (a) -4 (b) -1 (c) -0.4 (d) y (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(90)\/sqrt(5) - sqrt(18)*3*4)\/((sqrt(144)\/(sqrt(8) + -2*sqrt(8)))\/sqrt(3)*-2).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + b - 4*b**4 + 2*b**3 + 2*b**4 - 2*b**3 + (-21*b**3 + 21*b**3 - 4*b**4)*(1 + 1 + 0) to h*b**3 + m*b**2 + y*b**4 + q*b + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120204 and 764790.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -5.3. Let l = 20.9 + -20. Let x = r - l. What is the closest to -1\/3 in x, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 468.4 - -26859.\nAnswer: 27327.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 + 10010110010000101?\nAnswer: 10010110010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 1, a: 6, j: 3, f: 1, c: 3}. What is prob of picking 1 b, 1 a, and 1 n?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -270dc - -3?\nAnswer: -270d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -27. Suppose 2*x - i = 3*w - 2*w, -2*x + 16 = -3*w. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9755 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 4*h**2 + 5*h**2)*(-h**2 + 0*h**2 + 3*h**2) + h**4 + 2*h**3 - 2*h**3 - 2*h**4 - h**4 + h**4 - 385*h**2 + 12*h**4 + 388*h**2 - 3*h**4.\nAnswer: 10*h**4 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -0.405?\nAnswer: 0.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**(-1\/2))*b**(2\/15)*b*b\/b**(-12)*b**(-9) assuming b is positive.\nAnswer: b**(169\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18556, -74234, -167024, -296920, -463916?\n\"Answer: f**3 - 18562*f**2 + f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*l**3 + l + 4 - 1 + 1.\nAnswer: -136*l**3 + l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -502971 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 4, -38, -4, 9, -13.\nAnswer: -38, -13, -4, -2, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, 1, -7, -4, 4 in increasing order.\nAnswer: -96, -7, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**4\/4 + 5*r**3\/3 + 5*r**2 + 3*r - 1. Let m be d(7). Let c = m + 44. Calculate the remainder when c is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30306 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Let b(o) = -38*o - 6. Let u(y) = -b(y) + 5*i(y). What is the tens digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.5383 and 0.037.\nAnswer: -0.1309171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 6*f**2 - 4*f + 7. Let p(x) = -6*x**3 + 2*x - 1. Suppose 4*a + 0*a = 4. Let y be p(a). Let k be h(y). Solve -k*w = -0*w + 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -3*q - 4*j, -q - j - 54 = -2*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -162.\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -6738 in decreasing order.\nAnswer: 4, -1, -6738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8326 - -8?\nAnswer: 8332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47 - -32)*((-99)\/30 + 3). Determine c, given that u*c**4 + 1\/2 - 6*c**3 - c**2 + 2*c = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8413093\/45030 - 1121\/6. Let q = 157649\/165110 + y. Let u = -5\/11 + q. What is the common denominator of 107\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11251421 or -11251422?\nAnswer: -11251422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 12*b**2 - 6*b**2)*(4*b - b + 2*b) + b**3 + b**3 - 4*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 323273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17091 and 49221.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -639 and -20265208.\nAnswer: -20265847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 144619724 to the power of 1\/2, to the nearest integer?\nAnswer: 12026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 5*j + 137, -n = -2*j - 116. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190.044 + -0.156. Let b = o + 189. Do 1\/3 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438410154?\nAnswer: 2, 3, 7, 13, 251, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 48*v**2 - 85*v - 315. Determine u(46).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 25 = 3*v, 0*v - b - 20 = 3*v. Let l(n) = -n**3 - 8*n**2 - 6*n + 7. Let x be l(v). Is x\/(-3) + (160 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 - 15 - -3*1. Suppose -4*z = -20 - q. Let s = -33 - -99. Calculate the greatest common divisor of s and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let z = -35 + 43. Suppose -z*r + 4*r - 4 = 0. Put 6, r, w in ascending order.\nAnswer: r, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**2 + 366*v - 4087. Give d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 5 + (-2*1 - -2). Suppose 0 = -d - 2, 2252 = 2*s - n*d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 c, and 2 t when four letters picked without replacement from otwhctr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*60220\nAnswer: -10839.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3706*d - 109. Let z(k) = -103*k - 3. Let p(j) = 3*l(j) - 109*z(j). Let s(n) = n. What is s(p(q))?\nAnswer: 109*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.195 - 0.095. Let k = 3.11 - 0.11. Which is the closest to n? (a) 5 (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1458\/(-3969)*35\/15\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1\/4, -100, 10, -3, 2\/13.\nAnswer: -100, -3, -3\/2, -1\/4, 2\/13, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/1016 and 97\/39878.\nAnswer: 159512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g**3 - 2*g + 3. Suppose -46*k + 44*k = -4. What is the tens digit of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2074, -0.1, 387?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 23*m - 17. Let l(f) = -12*f + 10. Let i be l(4). Let w = -34 - i. Is n(w) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -19, -4, 38, 3.\nAnswer: -19, -4, -3, -1, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - q**2 + q + 10. Let g(u) = u**3 - 2*u**2 + 2*u - 1. Let r be g(1). Suppose r = -6*h - 25 + 109. Suppose -h*v = -18*v. What is x(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 9 + -5 - (-62 - -56).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 1200*a**2 + 1200*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 - -62. Let j = -10 + f. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 230, 1006, 2344, 4262, 6778, 9910?\nAnswer: 13676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -7381*w + 95858. Determine v(13).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36415 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - ((6 - 0) + 9)) + 5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/(-20)*-5 - 6. Solve -5*y = -4*r - 2 - 14, 0 = f*y + 2*r + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 539*p**2 - 8. What are the prime factors of o(1)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.85 times -3\nAnswer: 26.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -16. Suppose -4*g = g - 60. Let b be (g\/(-4))\/(3\/(-2)). Solve b*j = -4*a - 2*j + 20, -5 = -v*a + j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 270919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47883*m**2 - 143503*m**2 + 47885*m**2 + 47742*m**2.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 54 = 3*r. Suppose 11 = 3*h - 4*f, 8*h = 3*h - 4*f + r. Solve 4*o = -4*k - 24, h*o + 14 = -0*k + 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/((sqrt(6) + sqrt(18)\/sqrt(3) + sqrt(6))*3) + -5 - 6*(sqrt(136) + (sqrt(136)*-2 - sqrt(136))*-4 - sqrt(136))\/sqrt(8).\nAnswer: -647*sqrt(17)\/9 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70779671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*o = 817 - 145 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 143 = w, 0 = -5*w + 3*k + 669. What is the highest common divisor of w and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 19*g**2 + 53*g - 9. Let l(x) = -x**2 + 1. Let c(a) = -2*l(a) - s(a). Let b be c(-13). Is b < 56\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.2, -0.85, -3, 0.1, 74?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.8, 0, 73, -5, 1\/6 in decreasing order.\nAnswer: 73, 1, 1\/6, 0, -0.8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(153) - 4*sqrt(153)*6) + sqrt(153))\/(sqrt(729)*4).\nAnswer: 22*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0122564 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31962*m**4 + 789*m - 6 wrt m?\nAnswer: 383544*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-20)*4\/3 - 0. Suppose x + 3*z = 3, 0 = 5*x - 0*x - 2*z - 32. Suppose x*k - 2 = 4*k. Which is the closest to -0.1? (a) n (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*c - 2*m + 19, 4*c + 4*m + 4 = 0. Let v be 13\/c - 1\/(-4). Let q(i) = -1. Let s(k) = 2*k + 3. Calculate v*q(l) - s(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 4*y - 29. Let k be x(5). Solve k = v + 3*t - 7, -4*v = -t + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 5*o - 4. Let b be g(4). Sort -4, b, 4 in decreasing order.\nAnswer: b, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - (2 - 7)) + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-10)\/(((c**(-1\/7)\/c)\/c*c)\/c))\/((c\/(c**(-35)\/c))\/(c\/c**9)))**(8\/7) assuming c is positive.\nAnswer: c**(-2960\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*h + 10*h - 7*h)*(3 - 2 - 4)*(5*h - h - 2*h + (4*h - 5*h + 0*h)*(5 - 2 - 1) + 0*h - h + 0*h + 0*h + 0*h - 2*h + 5 + 4*h - 5).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 6915264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1440 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 25, -55 = -x + 2*f + 73. Let k be (-230)\/(-25)*10\/4. What is the greatest common divisor of k and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from kukuunnkkndknnngd?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 - 3827.8?\nAnswer: -3828.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/16697 and 17\/7?\nAnswer: 116879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 3244076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/(12\/(-8)). Let u = 1.4 - -0.6. Let h be ((-8)\/(-6))\/(1\/3). Which is the nearest to j? (a) h (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912a (base 11) in base 15?\nAnswer: 7ded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r + 9273 = 74631. Suppose r + 17607 = 14*l. List the prime factors of l.\nAnswer: 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*o + 364, 200 = -3*o - 3*v - 73. Let f = -83 - o. Let j(h) = h**3 - 2*h**2 - 2*h + 2. Let m be j(2). Sort 2, f, m in descending order.\nAnswer: f, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*c = 18, 140 = 29*j - c + 2*c + 57 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i\/i**(-2\/9))\/i)\/i*i\/(i\/(i\/i**(2\/17)*i))*(i**(2\/3))**28*(i**(-1\/5)\/((i\/i**4)\/i))**12 assuming i is positive.\nAnswer: i**(52304\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-11)\/2*6\/9. Differentiate -6*o**3 + q - 1919*o**2 + 1919*o**2 with respect to o.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 31240*x + 47234878. Give p(-1512).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -4?\nAnswer: -51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 1. Let b(r) be the second derivative of r**3\/3 - 2*r**2 - 12*r. Suppose 0 = -3*x + x - 8. Calculate x*o(a) + b(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 1, 0, -14 in increasing order.\nAnswer: -14, -13, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 9*n + 98. Let a(p) = 11*p**2 - 119*p + 151. Let h(k) = -5*k**2 + 60*k - 75. Let w(c) = n*h(c) - 3*a(c). Differentiate w(q) with respect to q.\nAnswer: 4*q - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 55 - 593 = 0. Suppose -5*h - 565 = -5*w - 0*h, -5*w - h + 535 = 0. What is the highest common factor of w and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**2 + 48*a - 48*a)*(-2*a + 0*a + 6*a).\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + 5*x**2 + x - 3. Let w(d) = d - 2*d**2 + 0*d + 3*d**2 - 1. Let u(o) = -3*o**2 - o. Let n be u(-1). Let l(q) = n*w(q) + j(q). Determine l(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 67. Suppose -22*p + 17*p = 75. Let q = n + p. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325254303?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(0*l + 5*l + 0*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 143, -0.4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505598176.\nAnswer: 2, 47, 127, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1173+0.0047\nAnswer: -0.1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*v**2 - 2)*(-3*v + 3*v + v) - 42*v + 5 - 4*v**3 + 22*v + 17*v.\nAnswer: -v**3 - 3*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 41 = 11*v. Let h(u) = -u**3 - 4*u**2 - u - 2. Let b be h(-4). Solve b*j = -4*m + 8*m - 18, 0 = m - j - v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2179 + 2186. Solve 5*s = 18 + l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 68 = -48, 0 = 5*y - 4*n - 26. Suppose 5*i - 15 + 0 = 5*d, 0 = i - y*d - 3. Solve -1 - i = p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*s = 17, -3*d = s + 4*s - 28. Is 7\/(8\/88*(0 + d)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8) - (-2)\/8. Let u = 2 - l. Solve -2*b - 14 = 2*r, u*r - 14 = 5*b - 0*r for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - i + 14 + 83, -2*i - 6 = 0. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 865 and 11?\nAnswer: 9515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**4 + 4*d**2*m**2 + 20*d**2 + 254*m**2 wrt d?\nAnswer: 4*d**3 + 8*d*m**2 + 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnnnnddnnnndd. Give prob of picking 3 n and 1 d.\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g**2 - 15*g**2 - 2*g - g to the form v + n*g**2 + i*g and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3750 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 106\/3*a**3 + 17*a + 16 + 0*a**2. What is the first derivative of i(j) wrt j?\nAnswer: 212*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from paarrraarypyppp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134 or 0.2?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 32, 2*a - 5*p - 10076 - 46508 = 0. List the prime factors of a.\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 9*t**2 - 18. Does 14 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppdwdpdphhpdppdpp. What is prob of sequence wdh?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81838 and 943959.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w + 9*w - 318 + 312 to r + h*w and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*11\/((-3344)\/(-57)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (128\/288)\/(6\/(-108)). Put d, -5.5, -1, -0.5 in descending order.\nAnswer: -0.5, -1, -5.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 6*p**2 + 7*p + 2. Let k be j(7). Let m be ((-8)\/6)\/(k\/(-3)). Suppose 0*r - r + 8 = m*y, -2*y - 4 = 4*r. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6655\/14 + 475. Find the common denominator of -35\/16 and v.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29065 + 29065 + 1728*n.\nAnswer: 1728*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(3*8\/(-24)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u - 4*u + 4 - 5*u**2 - 90*u**3 + 92*u**3. Let m be k(3). Let i = 67 - m. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15528 and 67512.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m + 151*m - 18*m - 21*m - 23*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**3 + 0*u**3 - 5*u**3 + 4*u**3 + 0*u**3 - 7*u**3 + (3*u - u**2 - 3*u)*(5*u - 5*u - 2*u) + 4 - 4 - u**3 to d*u**3 + z*u + o*u**2 + g and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**3 + 1596*l**2 + 51727*l wrt l.\nAnswer: 48*l + 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**3 - 48*t + 53. Factor f(j).\nAnswer: 3*(j - 4)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 13) in base 11?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 53 = -2*d - 13*b, 50*b = -4*d + 49*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18 - 2)*1\/2. Let x = -5 + n. Let r be (-5 + 6)\/((-2)\/(-6)). Calculate the highest common factor of r and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3545*a - 4*a**2 + 2*a**2 - 3544*a)*(-3 - 5 + 6).\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 2*a - 2. Let z(h) = -h**2 - h + 1. Determine -l(i) - 2*z(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 9, l: 4, s: 2}. Give prob of picking 2 i.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 + 11 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/12 - 4*x**3\/3 - 2*x**2 - x. Let j = -21168 - -21202. What is the remainder when j is divided by i(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a. Let v(j) = -328*j + 2. Let u(b) = -2*b - 1. Let l(y) = -2*u(y) - v(y). Give l(h(k)).\nAnswer: -664*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, w: 2, s: 3}. What is prob of sequence wpsp?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -19 - 6. Calculate the remainder when 10\/25 - 23\/m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 345 - 320. Solve -p*b + 19*b = 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - 2*i + 3*i**2 + 5*i)*(0 + i**2 + 0) as v*i**4 + k*i**3 + z*i**2 + f + y*i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0 + 1\/20*w**5 + 0*w + 0*w**6 + 0*w**3 + 0*w**7 + 1\/112*w**8 + 0*w**4 + w**2. Find the third derivative of b(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257123 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -710*l - 3354 = 14486 + 1330 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - 6*y + y + 3*y - y - y + (5*y - 3*y + 0*y)*(-3 - 1 + 2) + 5*y - 7*y - 3*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.298 + 13957636.179\nAnswer: 13957635.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44726\/5 - -8944. What is the biggest value in 0.05, 4\/9, -3, -1, q?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - k - 1. Let a = 9 - 4. Let u(y) = -y**2 - 1. Let z(j) = 2*j**3 + 3*j**2 - 5*j - 4. Let q(i) = -u(i) + z(i). Give a*l(w) - q(w).\nAnswer: -2*w**3 + w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -567 divided by -8887.\nAnswer: 567\/8887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9747*c - 5116*c - 5340*c. Let a(d) = -d**2. Give i(a(f)).\nAnswer: 709*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - 10*h - 9. Let t(d) = -5*d**2 + 20*d + 18. Let l(s) = -9*i(s) - 4*t(s). Let r be l(-4). Find j, given that 4\/3*j - 1\/3*j**2 - r = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 10:16 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 5. Let j be v(-9). Let h = j - -13. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -7483427189?\nAnswer: -7483427189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6270 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/4 (c) 153 (d) 1\/6 (e) 0.034\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 1434*r - 5688.\nAnswer: -3*(r + 4)*(r + 474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -39983 less than -30?\nAnswer: 39953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Let k = 34 - 4. Suppose 0 = -3*f - 3 + k. Let d(p) = 10*p + 0*p - f*p. Determine d(w(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 7. Let u be d(-5). Let q(x) = -x**2 + 8*x - 7. Let j be q(6). Suppose 5*y + 58 + u = 5*r, -2*r + j*y = -44. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -2) + (1 - (2 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 3*j. Let f be o(-4). Suppose 0 = c - 3*d + 12, 0*d = c + 5*d - f. Let y = 2.6 - 0.6. Which is smaller: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 276, 281, 286, 291, 296, 301?\n\"Answer: 5*j + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-12)\/s))\/s**(-3\/13) assuming s is positive.\nAnswer: s**(172\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**0\/f*f*f)**(-2\/91))**26\/((f**1*f\/f**0)\/(f*f**(-2\/3))**(-2\/87)) assuming f is positive.\nAnswer: f**(-6800\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**2 - 70*x - 7. Let k(a) = 3*a**2 - 71*a - 9. Determine -4*k(c) + 5*y(c).\nAnswer: 3*c**2 - 66*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279836544?\nAnswer: 2, 3, 13, 29, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 231038303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (-26700)\/(-540) + -2.\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 10*f + 145. Let s be c(8). Calculate the greatest common divisor of 9 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/60 - n**5\/30 + n**4\/8 - n**3\/6 - 16*n**2 + 6. Let x(v) = -8*v**3 + 9*v**2 - 13*v + 5. What is -9*m(z) - 2*x(z)?\nAnswer: -2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16043*t = -16395*t + 11968 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.49185*-89.\nAnswer: 132.77465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3\/j)\/j)\/((j*(j*j*j**(-1\/6))\/j)\/j*j)*((j\/j**(2\/9))\/j)**46)**19 assuming j is positive.\nAnswer: j**(-3781\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from kksskkkzssz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 5*d + 20, d + 3*d + 16 = 0. Let n be (j + 2)*1\/(-23). Let z = -7\/4 - -1\/4. Which is the third biggest value? (a) 1 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h**2 + 1515*h - 430 = 0. What is h?\nAnswer: 2\/7, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/26 and 109\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20*p + 24*p = -128, -2*p = -8. Let y(s) = 2*s**2 - 3*s + 3. Calculate the lowest common multiple of y(3) and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 35069008*d - 768647076315040.\nAnswer: -2*(d - 43836260)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14972999 is divided by 2199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v - 17. Determine x(10).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pex when three letters picked without replacement from xpeykkpx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 504 + -270ab?\nAnswer: -267a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*w + 2 + 158*w - 2.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2392\/(-529))\/26)\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -629, -612, -593?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*c**3 + 391*c**2 + 9*c + 460474 wrt c?\nAnswer: 30*c**2 + 782*c + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 975\/20*(-688)\/(-6). Calculate the highest common factor of 26 and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -211 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -24. Suppose -z + 36 = 14. Calculate the least common multiple of z and k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2176035, -8705506, -19587951, -34823364, -54411739?\n\"Answer: q**3 - 2176493*q**2 + q + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1179*5.3\nAnswer: 6248.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -129 and 5.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101000111100111000111000 - -100?\nAnswer: 10101000111100111000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 3 + (-7 + 7)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1669448 and 758840?\nAnswer: 8347240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3940628941 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -3*d**2\/2 - 34*d - 29. What is the first derivative of p(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/(c*c\/(c\/(c*c*c**(2\/5)*c*c)))*c)\/c*c))\/c**3)\/(c**(-3)\/c**2))\/((c**(-2\/7))**30)**(1\/4) assuming c is positive.\nAnswer: c**(299\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 757500400 to the nearest one million.\nAnswer: 758000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f**2. Let i(d) be the second derivative of -45*d + 0 + 0*d**2 + 5\/12*d**4 + 0*d**3. Give i(v(y)).\nAnswer: 2205*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/4 - 518\/(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (88\/(-16) + 2)\/((-2)\/68) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15784016 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/855 and 12\/(9 - 309)*-245.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 1075 + 979. Let v(g) = -3*g**2 - g - 4. Let n be v(-4). Let z = w - n. Solve -2*y + 4 + z = 4*h, -5*h - 4*y + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2)\/4*(-12)\/6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-2827)\/11 - (-7)\/1. Solve 39*m - c = -69 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24476581, -24476566, -24476517, -24476416, -24476245, -24475986, -24475621, -24475132?\nAnswer: -24474501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 105*14\/(-168)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -0*r - r. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12123*k**3 + 12123*k**3 - 1212*k**4 + (k**3 - k + k)*(0*k - 4*k + 2*k).\nAnswer: -1214*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/440 and 79\/258280.\nAnswer: 258280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 8562.\nAnswer: -9\/2854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20319 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z. Let u = 7 - 5. Suppose z = x - u*w + 622 - 112, 25 = 5*w. Round x to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 898, 1393, 2086, 2977?\nAnswer: 4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 28 = 3*z. Let l be z\/(-35)*(0 + 5). Solve 0*m = -m - l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 434*t\/3.\nAnswer: t*(t - 434)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/22 - -2\/11. Which is the smallest value? (a) p (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence slue when four letters picked without replacement from pleuffsl.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*2)\/(108\/(-72))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5512, -50, 1\/12, 1, -0.5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + d**4 + d**4 + (-4*d + 3*d - d)*(6*d + 4*d - 86404*d**3 + 86275*d**3).\nAnswer: 263*d**4 - 20*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*z + 24, -o - 2*o - 5*z = 32. Let r = -6.6 - -7.2. Let y = r + -1. Which is the second biggest value? (a) y (b) -0.1 (c) -1\/2 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r - 2*r + 2*r)*(8 - 4 + 3 - 3*r) to the form c + j*r**2 + v*r and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*q - 144 - 3*q**2 + 363 - 222.\nAnswer: -3*q**2 - 119*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)\/(9 + -3 + -7). Let x(h) = 312*h - 21. What is the hundreds digit of x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6 = 4*n - 2, 3*z + 5*n = 61. Solve 79*v = 85*v + z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295514 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-3 + (-60)\/(-25)). Let d = -97 + 97. Suppose d = -8*a + 34 - 2. Sort -6, 0, r, a in descending order.\nAnswer: a, 0, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 172755 and 15.\nAnswer: 172755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gboggbobfogboffbovf. Give prob of picking 1 b and 2 f.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + m - m)*(3*m - 4 + 4*m - 9*m) + 11*m**3 - 15*m**3 + 45*m**3.\nAnswer: 45*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011 + -2001201011112?\nAnswer: -2001201012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 7. Let m = -4 + -3. Let u(w) = -3*w + 4. What is m*u(a) + 4*h(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a6c (base 14) to base 9\nAnswer: 2734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 8. Suppose -14 = -4*d + 2*f, -5*d - 120 + 136 = -3*f. Let n(t) = -t - 49 - t + 110 - 52. Give d*n(j) + 6*p(j).\nAnswer: -4*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f. Let d(o) be the first derivative of o**4\/12 + 15*o**2\/2 - 2. Let p(n) be the second derivative of d(n). Give c(p(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19984664 - 19984664 + 2126*a as w*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10260*t**2 + 4*t - t - 3*t - 118*t**3.\nAnswer: -118*t**3 - 10260*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 3*d - 57, -3*d + 52 = -47 + 36 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*f - 268 = -3*x, 5*f = -4*x + 295. Let d = x - 36. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1048 = -3*f. Let g = f - -7445. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 5*v + 2. Is 9 a factor of d(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0114 in 2\/7, 57, -0.04852?\nAnswer: -0.04852","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b - 2. Give i(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(3) - (-2 + sqrt(12)\/sqrt(4)))*4)**2 - (sqrt(27) - (sqrt(27)*1*6 + sqrt(27)))\/(-2*sqrt(1296)).\nAnswer: -sqrt(3)\/4 + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-3) - -5)*(11 - (-3)\/(-5)).\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 3:25 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 13*j**2 - 48*j.\nAnswer: -j*(j + 4)*(j + 48)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-16)\/(-88) - 92\/22). Solve f + 8 - 5 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:10 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.703268l in millilitres?\nAnswer: 4703.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 4*o - 3*o - o)*(-3 + 0 + 1)*(-4994 - 201*o + 4994).\nAnswer: 1206*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 - 3*f + 10. Let g(b) = -9*b**2 - 5*b + 19. Let a(z) = -4*g(z) + 7*s(z). Let c be a(-6). What is the highest common divisor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2478 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127, 0, 4, 26 in increasing order.\nAnswer: -127, 0, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-112)\/(-6) - 0)\/((-26)\/(-39)). Calculate the highest common divisor of x and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -711377, -711378, -711379?\n\"Answer: -k - 711376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30150 + -3.85?\nAnswer: 30146.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 5089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(1012\/8)*(-110)\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 52720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0624 (b) -1\/3 (c) -5 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14539656.\nAnswer: 2, 3, 421, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h + 0*h + 15*h**3 + 164*h**3.\nAnswer: 179*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y - 170*y = 41*y - 6797226. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*g + 251*g + 249*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1, 8, 13, 8, -13, -56?\n\"Answer: -q**3 + 4*q**2 + 4*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 93*f + 1. Let q be r(1). Let u(l) = -l**2 + 5*l + 14. Let b be u(6). Suppose b*x - 10*x = -q. List the prime factors of x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-53)\/(-35) - 189\/105. Sort -0.1, 5, q, 3\/7 in increasing order.\nAnswer: q, -0.1, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84704, -169420, -254136, -338852, -423568, -508284?\nAnswer: -593000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 33*s**3 + 180*s**2.\nAnswer: -3*s**2*(s - 15)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-25 + 10 - 21)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 - -76. Let t = -6\/5 + 13\/15. What is the closest to t in -4, 6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56446 + -4233541\/75. What is the common denominator of 5\/27 and h?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/8*-10*-1. What is the second biggest value in -2\/13, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -24. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i - 0*i. Suppose -20 = 2*t - 6*t + i*o, -3*o = -5*t + 25. What is the nearest to 1\/2 in 1\/2, -0.4, t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 509.84 - 513. Let g = s - -5.16. Put -9\/4, g, -3 in increasing order.\nAnswer: -3, -9\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + x = -6, 70*x - 71*x - 7 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 180641470.5\nAnswer: 180641503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = 170*a + 165*a - 342*a - 2*j, 0 = j + 3 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f - f + 4*f)*(-4 + 4 - f**4) - f**5 - 2*f**5 - f**5.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2256 and -127\/394308?\nAnswer: 74129904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, -6\/5, 1439?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5 + sqrt(1216)*-2)**2 - (2*sqrt(1216)*-1)**2) + (2 + sqrt(1216) + sqrt(1216))*-5 + sqrt(1216) + 1 + (sqrt(1216)*-1)**2.\nAnswer: -1032*sqrt(19) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 4 (c) 3\/14 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -53*a**7\/210 + 2*a**4 + 27*a**2 - 10. Let x(c) be the second derivative of b(c). Find the second derivative of x(m) wrt m.\nAnswer: -636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-13 + 15 + -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -41704 (b) 3 (c) 2\/15 (d) 5\/2 (e) 1\/6 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17160\/160 + -55)*(-24)\/(-33)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 941226a?\nAnswer: -9412268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/9, -1\/2, 3\/7, -1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 4*b**2 + 97. Let o(w) be the third derivative of -w**4\/8 + w**2. What is p(o(i))?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2260, -9021, -20292, -36073, -56364?\nAnswer: -81165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297409161 is divided by 356?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 times 8\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**6\/360 + g**5\/120 - g**4\/8 + 5*g**3\/3 + 23*g**2. Let u(b) be the first derivative of z(b). Calculate u(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**3 + 2923311*z**2 + 4907308*z wrt z.\nAnswer: 18*z + 5846622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 0*y)*(7*y - 5*y + 0*y - 93).\nAnswer: -2*y**2 + 93*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902 a factor of 23750274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54642 by -5.\nAnswer: -54642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -201 + 203, -5*a + 2*l = -574. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15716*t + 15503*t - 6816 = 0 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 - 288 + 288 + 0*x**2 - 2*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48165215207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 16*u + 61. What is the second smallest value in -1, u, 0.0282?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 250?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + (0 - -12) + (-26 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3622128 and 1043664?\nAnswer: 61576176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0321754 and 427.26?\nAnswer: 427.2921754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2340 and 9100.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 20256386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 64\/(-10))\/(161\/825 + 80\/(-440))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15174)\/3042 + (-104)\/8788.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4091556 and -145\/1608.\nAnswer: 8183112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 66 = 2*d. Let p = 43 + d. Solve 3*a + p = -5*z, -2*a + 5*z = a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4022 = 33*l - 6365. Suppose -2*j + 262 = 2*v, -4*j + 527 = 4*v - j. Let n = v - l. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -17, -35, -59, -89, -125?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30702839*h**5 + 21045592*h - 2.\nAnswer: -614056780*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(54\/(3564\/4818)).\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-81)\/(132354\/6278)*-19\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0517, 1, -11\/3, 0.2, 5 in descending order.\nAnswer: 5, 1, 0.2, 0.0517, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (2 - (-6 + 7)*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 25*m**2 + 27*m + 36. Give y(-24).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/(n**(-2\/9)\/n)))**(1\/26)\/(n*(n\/(n*n**6\/n*n))\/n*n**(-7)) assuming n is positive.\nAnswer: n**(3013\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 54*i - 1. Let b(x) = -178*x - 238. What is b(t(w))?\nAnswer: -9612*w - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 48?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -z - 3, 3*h + 3*z - 5 = -11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -7. Suppose v = 5*p + 4*x + 20, 2*p = -5*x + 9. Let m(h) = 5*h**2 - 8*h + 14. Let g(a) = -3*a**2 + 5*a - 9. Give p*g(f) - 5*m(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -566861140454 and -58.\nAnswer: -566861140512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*f - 858 = -3*r, -f - 1 = 0. Differentiate -25*t**2 - 26*t**2 + 38*t**2 - 30*t**2 - 53 + r with respect to t.\nAnswer: -86*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -7 - 5 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -4*z**7\/21 + 7*z**6\/5 - 37*z**5\/10 + 4*z**4 - 4*z**3\/3 - 4*z. Determine n so that x(n) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/4))**(13\/3)*(r**0)**(-2\/11) assuming r is positive.\nAnswer: r**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*t - 65*t = -5*m + 45, 3*t + 4*m = -7*t + 42 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*b + 3*t, -9 + 50 = -4*b + 5*t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/26, -26, 0.2 in decreasing order.\nAnswer: 0.2, 3\/26, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65555*o + 65547*o + 128 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 688 - 29 = -62*r - 1573 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/413202 and -41\/22037440?\nAnswer: 66112320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 145*j**3 - 7*j**2 - 32*j - 44. Let h(a) = 72*a**3 - 3*a**2 - 14*a - 24. Let t(z) = -3*f(z) + 5*h(z). What is the second derivative of t(u) wrt u?\nAnswer: -450*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 34*k - 19*k = 8*k - 31, 13 = -4*d - k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -22*l + 2918. What is the greatest common divisor of 28 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b40 (base 13) to base 10.\nAnswer: 39260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4 + (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) + -2*sqrt(77) - sqrt(77))*-6))))\/sqrt(7))*-1)**2.\nAnswer: 2880*sqrt(11) + 40176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6407 times 30711\nAnswer: 19676.5377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 2. Let j(r) = -12*r + 9. Determine 2*j(b) - 9*s(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*b - 217*b - 19 = i, i - 2*b - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/228 and -19\/168.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v, k - v - 3 = 0. Let u = -3 + k. Suppose u = -2*q - 2*q + 88. Calculate the remainder when 42 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 649 and 19116.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 18 = 22. Suppose -j - i*j = -60. Let s(c) = -c + 23. Let o be s(j). What is the highest common factor of 130 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from finqciqa. What is prob of picking 1 n and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4*(sqrt(1078) + sqrt(1078)*-2)*-5)\/((sqrt(2178) - (sqrt(2178) + (sqrt(2178) - sqrt(2178)*2)))\/(sqrt(72)\/sqrt(2) + sqrt(36))))**2.\nAnswer: 7840000\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, i: 11}. What is prob of sequence iiic?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55970 and 13317.\nAnswer: 3861930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 8*x + 5. Let o = -3916\/19 - -206. Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 112994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 7:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (138725\/(-350))\/(-31) - 19 - -2*3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-28)\/126 + (-1172)\/(-90). Let n = 66\/5 - q. Factor 1\/5*i**2 + 0 + n*i.\nAnswer: i*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435049*-0.3.\nAnswer: 130514.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1211, -1500, -1789, -2078?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 24*a - 143. What is v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mym when three letters picked without replacement from mmmmmmmmymymmyymmym.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 4\/(5\/80*4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*s**3*x**3 + 2*s**3 + 6673*s*x**4 + 223446*s wrt x?\nAnswer: -6*s**3*x**2 + 26692*s*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = -3*h - 4*b, -2*h = -2*b - 10. Suppose -5*k - 9125849 + 125849 = h. Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135 + 133.93. Let c = 0.48 + f. What is c rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378709.\nAnswer: 17, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d**2 - 1. Let s be p(1). Let x = s + -6. What is the second derivative of 2*u + 5*u**4 - 2*u**4 - u**x + u wrt u?\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclllclcllhcllh. What is prob of sequence cll?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3724101.\nAnswer: 3, 43, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((3\/(-2))\/(-2 - 1))\/(-2). Which is the nearest to -4? (a) l (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-3))\/(26\/8*5392\/(-2022)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = u - 6*u. Let r(j) = 0*j + 7*j + j**2 + j**2 - 8*j**3 - 5*j. What is the smallest common multiple of u and r(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 327471903*z**3.\nAnswer: 3*z**3*(z - 109157301)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1539) - (sqrt(1539) + -2)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 208 or 209?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-3 + 0 - -6) + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a. Suppose a = -2*v + 341 - 1601. Round v to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*c)*(-2*c**3 + 4*c**3 - 3*c**3)*(-2 + 5 - 1)*(-2*c + 8*c - c) + c - 2*c**5 - c.\nAnswer: 38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*c**3 - 2*c**3 - 4*c**3 + (3*c**2 + c**2 - 2*c**2)*(2 - 2 + c) - 4*c**3 + 2*c**3 + 3*c**3 + c**3 + 0*c**3 - 2*c**3)*(0 - 2 + 3).\nAnswer: -30*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (118 - 6)*2 - 6?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3721, 7392, 10981, 14446, 17745, 20836?\n\"Answer: -7*y**3 + y**2 + 3717*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwqw when four letters picked without replacement from {w: 5, q: 8}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Let x(z) = -4*z - 2. Calculate the remainder when x(-4) is divided by (-7 - -13)*(m - (-8)\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15\/2552 - 3044641\/17864. Let u = -171 - z. Which is the third biggest value? (a) -5 (b) 7\/3 (c) -0.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5 - -2) + (2 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u. Suppose 9*v - 19 = -1. Let p(j) = -2*j + v*j - 39*j**2 - 9*j**2 + 0*j. Give g(p(d)).\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -61 + -20 + 136?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*(-32)\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2264645*i + 4. Let r be v(2). Let y be 2\/(-8) + (-63)\/(-12). Suppose -9970706 = -y*h + r. What is h rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 133*y - 63. Let b be t(8). Suppose -b*c + 1004*c - 135 = 0. What is the remainder when 110*8*2\/20 is divided by c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(19))**2 + -2 - sqrt(1539)*-2) + -2.\nAnswer: 32 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 1 + 7 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*n = 128*n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 137, 301, 531, 827?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*c = -36*c - 40. Let s = 66 - 73. Sort s, -9, c, -5 in increasing order.\nAnswer: -9, s, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - -3)*2\/(-3). Let n be (7 - 17)\/i + 1. Let b(j) = j - 2. Let g(r) = r - 2. Calculate n*g(o) + 5*b(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 12*s**2 + 3*s - 6. Let k be y(-11). Suppose 6*u + k = 202. Is 20 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23854 is divided by 6109.\nAnswer: 5527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358542020 and 12840?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -681 * 2.\nAnswer: -1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756315489 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 -19, 77, 0.08?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34381479 divided by 13?\nAnswer: -34381479\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeyeeeeyekeyyeeyyyy. What is prob of picking 3 y?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 bigger than 243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**4\/8 + i**3\/2 + 5*i**2 + 3*i. Let m(f) = -f - 1. What is 11*m(a) + 4*y(a)?\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*f + 32, 0 = 4*x - 6*f + 8*f - 42 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 650 - 609. Suppose 10310 = b*u + 1249. Calculate the greatest common factor of u and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1640*i**2 + 239430*i - 1455. Calculate j(-146).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3893 is divided by 682?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i - 47 = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 5. Let h be p(6). Let y be (0*11\/253)\/(-1 + 0 + -1). Put h, -4, y, 19 in decreasing order.\nAnswer: 19, h, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -128*m**2 + 3*m + 2. Let s(q) = 43*q**2 - q - 1. Calculate 3*d(o) + 8*s(o).\nAnswer: -40*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {b: 3, m: 1, i: 7, k: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 6*v**2 + v - 4. Let w be j(6). Let z(b) = -2*b**3 + b**2 - 2*b**3 - w - b**3 + 3*b. Does 12 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*l + 344 = 0, 0*l = -3*g + 4*l - 335. Let p = -90 - g. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 3*k)*(-3*k**3 - 2*k**3 + 6*k**3) - 2*k**4 - 6*k + 6*k + (-105 + 49 + 97)*(-2*k**4 + 4*k**4 - 3*k**4) - 2*k**4 - 3*k**4 + 6*k**4.\nAnswer: -43*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8250*k - 4363. Is y(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 15*o**7\/28 + 8*o**6\/5 + 143*o**5\/100 + 4*o**4\/15 + o**3\/60 - o. Factor p(s).\nAnswer: s*(s + 1)**2*(15*s + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31550299.\nAnswer: 11, 761, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 6*q**4 - 2*q**4 + 2*q**4 - 3*q**2 - q - 305 + 306 in the form d*q**3 + t*q**4 + m*q**2 + i + r*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 - -85. Suppose -x*h + 35*h - 1280 = 0. What is the highest common factor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -124856 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 plus 56.7?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let g(d) = 21 + 24 + 10*d - 19 + 9. Let k be g(-4). Put 1, k, 2, r in decreasing order.\nAnswer: 2, 1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c - 3*f = 52*c + 53, 4*f = -4*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r - 17. Let u be l(-6). Let n be u\/4 - 1\/4. Solve t + 3*t + d + 9 = n, t + 3*d = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 457428300 a multiple of 1757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbc when three letters picked without replacement from {j: 2, b: 6, c: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009396 to seven decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 39 = 15. What is the remainder when 206\/l + (-2)\/(-8) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128502 is divided by 564233.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 + 10*a - 17. Let j be m(7). Solve -j*q + 2*q + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58711 and -8.\nAnswer: -469688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.643935 from -0.02187.\nAnswer: 1.622065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 447253879*j**4 - 363281537 wrt j?\nAnswer: 1789015516*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 + 3*l. Let n be d(2). Let a be 1 + 4\/n*-3. What is the first derivative of i**3 + 0*i**a - 2 + 0*i**3 wrt i?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000185961 rounded to six dps?\nAnswer: 0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9297366 by -18338.\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 11*i + 30. Let l be n(-5). Solve j + j - 4 = l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12559\/4 + -3159. What is the common denominator of b and ((-6)\/(-8))\/((-3)\/(-170))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012248566 rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281446?\nAnswer: 2, 11, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 55 + 25 = 2*l, 4*l + 5*y = -72 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 115*o + 1 + 113*o + 97*o**3.\nAnswer: 97*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:59 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -44240365 (base 7) in base 12?\nAnswer: -1337984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9.807 + 3\nAnswer: -6.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2)\/(3*sqrt(294) + sqrt(294)).\nAnswer: 5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - -14 - (3 + -1). Let l(j) = -3. Let i(c) = -c**2 - c + 1. Let m(p) = s*i(p) + l(p). Give m(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14582*a**3*o + 2176*a**2*o + 161860150*o with respect to a.\nAnswer: 43746*a**2*o + 4352*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 21 = -11. Let n be (10254\/(-20))\/(o\/(-65)). Let j = 4164 + n. Find the common denominator of j and -13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*b = 5310, 3*b - 5308 - 10616 = -3*m. List the prime factors of m.\nAnswer: 2, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a = 6 + 30. Let x be a*(-3)\/(-15) - 17\/5. Are -22 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/11)*w)\/(w\/(w\/(w*w\/w**(-2)))))\/(w**(-5\/3))**44 assuming w is positive.\nAnswer: w**(2318\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4161 - -4140. Which is the closest to 1? (a) -5\/2 (b) t (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 5*m - 4. Is 2 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/6)*d\/(d\/(d\/(d*((d**(-2\/3)\/d)\/d)\/d))))**(-13\/2)\/((d**0\/d)**(-13\/8)\/(d**(-2\/23)*d**(-2)*d)) assuming d is positive.\nAnswer: d**(-4685\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97562219 is divided by 649?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1171022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 6*p**2 - 5*p + 2. Let y(z) = -1. Let h(b) = u(b) - 2*y(b). Let l be h(-5). Let t(j) = 7*j - 13*j + l*j. Let c(d) = 2*d. Determine c(t(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11219 - 4369. List the prime factors of s.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -91 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -701 + 3507\/5. What is the second biggest value in 0, -17, w, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-1\/10))**(5\/3) assuming p is positive.\nAnswer: p**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, 4, 7, 0.5, -214?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*i. Let u(f) = -8*f + 0*f + 15 - 4*f**2 - 8*f + i*f**2. Let l be u(15). Solve 0 = -l*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 6812.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -2145.\nAnswer: -407.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*b - 4307 - 775 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1465823 and 4230640.74.\nAnswer: 4230640.8865823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 7111074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 111?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 32*t**2 - 40*t - 7. Let u(h) = -16*h**2 - 20*h - 4. Let g(j) = 9*u(j) - 4*v(j). Let g(b) = 0. Calculate b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 5, o: 1, g: 2, u: 2, p: 2, m: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.038017 to one dp.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 14*n**2 + 37*n - 3. Let l(i) = i**3 + 7*i**2 + 19*i - 1. Let a(b) = -5*l(b) + 3*x(b). Is a(-4) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 156 = 2*h. Suppose 1231 + 5903 = h*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 13\/12*q**4 + 27 + 0*q**3 + 0*q**2 + 2*q. Let d(h) = 4*h**2. What is d(i(r))?\nAnswer: 676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -12*m**2 + 42. Let o(h) = -h + 2*h - 3*h. Determine o(z(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 2.517065138.\nAnswer: -14.482934862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1101662 + 20?\nAnswer: 1101702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 9) in base 5?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.1106513829 - 0.3.\nAnswer: 4.8106513829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 - (1 - -26 - (-112 - -117)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than -61.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*o - 1 - 86*o - 1626*o - 1059*o.\nAnswer: -2642*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1)*(-8*t**3 - 4*t**3 - 8*t**3) + 5*t**3 + 5*t**3 - 6*t**3 as b*t**2 + i*t**3 + h + v*t and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 26043782323 - 26043782323.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199438.\nAnswer: 2, 3, 71, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from {m: 2, u: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -15 - (-11 + -11 - -30)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22212110 (base 3) to base 12.\nAnswer: -38a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 = 3*a, -2*a + 21 = -5*c + 54. Suppose -5*k = -y - 74, -3*y + 43 = 3*k - 5. Let v(w) = -6 - 3 + k - 4 + w. Calculate v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 1 - 4 - 7*k + 9. Let p(o) = o**2 + 3*o - 2. Determine 5*p(n) + 2*q(n).\nAnswer: n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 1. Let q be r(0). Let w = -14239.4 + 14240.3. Which is the biggest value? (a) q (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65454 and 130908.\nAnswer: 130908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2)*w*w*w**0*w*w)\/(w*w**(-2\/5))**(-3\/4) assuming w is positive.\nAnswer: w**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/10, 5, 0.2, -2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*w + 2*o, w = -w - 5*o + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3074*z + 9 - 6 - 1020*z.\nAnswer: 2054*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bffb when four letters picked without replacement from {f: 2, k: 7, b: 2}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3400 - 1263. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8342 - 8340. What is the smallest value in -7, w, -0.003?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -97*1*(-2 + 3). Let f = -32 - x. Suppose -3*n - 10*n = -338. What is the highest common divisor of f and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/240 + 5*j**4\/96 + j**3\/6 + 10*j**2. Factor z(x).\nAnswer: (x + 1)*(x + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -de (base 16) to base 2\nAnswer: -11011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*n + 5 + 7, 4*n + 24 = s. Calculate the remainder when 27 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + m**3)*(-11 + 2*m + 3*m**2 + 11).\nAnswer: 3*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) + 19\/4. Suppose -t - 36 = -2*y + t, -z*t = 5*y - 130. Let v = 46 - 26. What is the smallest common multiple of y and v?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 317*w - 456 - 156*w - 159*w - 67.\nAnswer: 2*w - 523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.053, -0.5, -0.1, -4, -4\/185, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 - (8 - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10.66273 * 0.2\nAnswer: -2.132546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)*s)**(10\/3)\/((s**(-2\/3)*s*s)\/s*s)**3 assuming s is positive.\nAnswer: s**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 3:23 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {a: 3, u: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110314 (base 5) to base 4.\nAnswer: -323322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -27936146?\nAnswer: 19\/27936146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3350\/1309 - 453\/238. Find the common denominator of -15\/1792 and x.\nAnswer: 19712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1817.12916 seconds to weeks.\nAnswer: 0.0030045125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19224)\/(-12460))\/(((-42)\/70)\/(21\/(-15)))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, p: 18}. What is prob of sequence pww?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 9, 1\/9, -1, 3.4, 2\/7.\nAnswer: -1, 1\/9, 0.2, 2\/7, 3.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in -945, 3, -26?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + 2*c**3 + 0*c**3)*(-10 + c**2 + 9 - 11*c**2) + 4*c**5 - c**3 + 0*c**5 - 3*c**5.\nAnswer: -19*c**5 - 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 365, 347, 321, 287?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a - 94*a - 122*a + 48*a.\nAnswer: -240*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160420 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.03 (b) 1.26 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b06 (base 12) to base 15.\nAnswer: -27bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -14. Suppose j - 18 = -z*y - 0*y, -72 = -4*j - 5*y. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - 125. Let d(i) = -12*i**3 - i**2 + i - 1. Determine d(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/((b*b**(8\/7))\/b))**(-1\/7) assuming b is positive.\nAnswer: b**(10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -8. Suppose 2*w + w = r. Suppose -w*f = -0*f - 6. Solve u + f*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6*u + 129. Let h = u + 41. Let c = 1 - h. Solve -9 = c*n + f - 1, -5*n = -f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2266482 != -2266623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34153, 68528, 102903?\nAnswer: 137278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*a**3)*(3*a - 3*a + 6*a).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/792*24\/130)\/(2\/(-3))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-6 - (6*(sqrt(99) - sqrt(99)*-2 - sqrt(99) - sqrt(99)))\/sqrt(9)) + -3.\nAnswer: -42*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 7*z**2 + 7*z + 69. Let p be g(-7). Put 0.4, 1, p in ascending order.\nAnswer: 0.4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7507 - 7500. Which is the closest to 0? (a) s (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - b + 2)*(-3*b + 0*b + 2*b + (-2*b - 3*b + 3*b)*(2 - 2 - 2) - 1 - 2*b + 1)*(18658 + 14712 - 37121) to h*b**2 + s*b + n and give h.\nAnswer: 3751","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4418404 to the nearest integer?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4999*w + 628. Let i(q) = -2499*q - 279. Calculate 9*i(j) + 4*y(j).\nAnswer: -2495*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, -1, 0, 8, -125?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 37703?\nAnswer: 68\/37703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289433307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 12 = 3*y. Suppose 4*a + d = 2*d + 42, 0 = 5*a + 5*d - 40. Suppose -y*s = s - a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/37, 1\/2, -2\/5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/846 and -82\/705?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11076 divided by 13?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 538 + -258. Suppose 5*v - 10*v + h = 0. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 - 95680*r**3 - 478366*r**2 - 765368*r - 382680 = 0.\nAnswer: -47835, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/35)\/((-29)\/174).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001679554 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 16*g = -40750. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -16. Suppose 4*q - 2 = -x + l, 2*x + 5*q = -3. Is -13 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26648, 3, 0.5, -2\/515 in descending order.\nAnswer: 5, 3, 0.5, -2\/515, -26648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 6:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133129989 a multiple of 4341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 21. Suppose -3*s + 2 + w = 0. Let t = 34589.94 - 34590. What is the second biggest value in s, -0.4, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (11 - (-4 - -14) - 3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -8*j**2 - j + 3. Let x be d(-1). Put -5, x, 320, 5 in descending order.\nAnswer: 320, 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1758 - 1753. Which is the nearest to 7? (a) q (b) 2\/17 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*d - 27, -56*d = -3*i - 55*d + 71. What is the greatest common factor of i and 2616?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/5 - 3758*f**3\/5 + 745002*f**2\/5 - 1478722*f\/5 + 147496 = 0. Calculate f.\nAnswer: -2060, 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*x - 34, -8*x + 23289*f + 76 = 23286*f for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*l - 3*q - 2, -4*l + 16 = 4*q. Suppose l*b + 2318 = 4*j, -2*b + 510 + 1211 = 3*j. List the prime factors of j.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 10 = -4. Let s(g) = g**2 + 4*g + 2. Let f be s(m). Let o(n) = 4*n**2 + 2*n + 1. Determine o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + sqrt(3)) - sqrt(6)\/(sqrt(4)\/sqrt(2)) - (-3 + sqrt(192) + 0 + sqrt(192)))**2.\nAnswer: -72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22709 - 22712. Which is the third biggest value? (a) 0 (b) -2 (c) -0.2 (d) t (e) 267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1152 (base 8) in base 5?\nAnswer: -4433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 3 (c) 1\/7 (d) -310618\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*l**2 - 41*l**2 + 15*l**3 + 11*l**3 + 420 + 99*l - 27*l**3 wrt l.\nAnswer: -3*l**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a decade in months?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*w + 18, -2*u = -5*u - 3*w + 12. Suppose -k - u*k = 0. Let h be k\/1 - (-3 + 0). What is the smallest value in -2, 4, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3, 1, 28, -1 in descending order.\nAnswer: 28, 3, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)\/m**(2\/13)*(m*m\/(m\/m**(1\/7)))**38 assuming m is positive.\nAnswer: m**(19599\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 107, 359, 847, 1649?\n\"Answer: 13*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*t = 6. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -541*p - 2. Let d(j) = -2787*j. Determine s(d(f)).\nAnswer: 1507767*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 5:57 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1058 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.7799 grams in kilograms?\nAnswer: 0.4487799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*f - 54, 2*x + 4*f + 58 = -0*f. Suppose -166*p + 15 = -4*g - 165*p, -g = 4*p + 25. Let d be (-252)\/(-15) - (0 - g\/x). Which is greater: 19 or d?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 26, 14, 53, 3, 21 in descending order.\nAnswer: 53, 26, 21, 14, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 122152 = 122747 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 8. Let a(m) = 6*m - 17. What is 6*a(c) - 13*j(c)?\nAnswer: -3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccczcchcccccccc. Give prob of sequence cch.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldxnynl. What is prob of sequence ll?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 3 = 3*f, -485*d + 489*d = -2*f + 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 14*u + 533 = -4*p, -4*p + 121 = u. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 7*x + 2. Let l be v(6). Let b be 3 + (1*(0 - 331))\/7. Let a = b + 44. What is the biggest value in -0.06, a, l?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -l + 663. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (sqrt(180) + sqrt(180)*2)**2 - 1*2*sqrt(5).\nAnswer: -1620 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (3 + (-719)\/14). Let q = z - 181\/7. Find the common denominator of 5\/14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 29*k - 55 = 48*k, -3*b - 2*k - 52 + 13 = k for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36539 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.23, -0.2, 1\/14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 13}. What is prob of picking 2 i and 1 r?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/((-3)\/30). Let w = -16 + 33. Suppose w + 53 = x*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 304\/10 - (-12)\/(-30). Let d be 8\/2*45\/t. Find the third derivative of -3*n**2 + 7*n**2 - 2*n**2 + 2*n**3 - d*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 - 224. Suppose f = -6*k + 322. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/6)\/t*t**(-3\/5))\/(t**4*(t*t**(-6))\/t))\/((t**1\/t)**(-2\/35))**13 assuming t is positive.\nAnswer: t**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 21*x**2 - 4*x - 48. What is r(-11)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 14*r**2 + 13*r + 1. Let j be p(13). Let u(f) = -2*f**2 - f + 1. Determine u(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/7 + 61*l**3 - 45793*l**2\/7 + 44517*l\/7 + 90738\/7 = 0?\nAnswer: -1, 2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40785702*v**5 - 3*v**2 + 11*v + 35108 wrt v?\nAnswer: 2447142120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377640 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 0 = j + j + 2*m - 2, -6 = -2*j - m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(36) - -2*sqrt(36)) - sqrt(900)*-2)\/(sqrt(144)\/sqrt(3) + (sqrt(36)\/sqrt(3) - sqrt(12))*6).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 1251\/(-126))\/((-24)\/(-6)*(-87)\/232)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 2*v**2 - v. What is b(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, 0.1, -1416\/7, -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -5*j**4\/24 - 4*j**3\/3 - 3*j**2. Let q be h(11). Does 4 divide 16\/(-12)*q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 + 1)*-1. Let m be 20 + (1 + q)\/3. Solve 0 = 4*t - 0*t + 2*r - 16, -5*t = 4*r - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90490 or -90606?\nAnswer: -90606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + 6*d**2 + 33*d - 73. Calculate i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -7*v**5\/20 - v**4\/6 - 7*v**3\/6 - 3*v**2\/2 + 2*v - 46. What are the prime factors of n(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjvvjv. Give prob of picking 3 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {q: 2, c: 5, u: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 217, 326, 435?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/66 and 350\/(-600)*452\/(-70).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 11*a**3 + a**2 - 5*a - 4*a**3 + 16*a**3 - 4 to g*a**3 + c + t*a**2 + i*a and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 145238243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 3. Let a(q) = q - 4. Let w(z) = 3*a(z) + 4*j(z). Let l(r) = -28*r**2. Calculate l(w(k)).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2519 and 1145.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 2*j**2 + 0*j + 0*j**2 + j**2 - 4*j**2 + (0*j**2 - 2*j**2 + j**2)*(7 - 6 + 6) + 3*j**2 + 2*j**2 - 3*j**2 to the form i*j + w + y*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1983.8 and -16?\nAnswer: -31740.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 153022+-10693244\nAnswer: -10540222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 9*p + 4. Let x be g(9). Suppose 2*w = x*w - 4. Suppose -78 = -0*h - w*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**11\/66528 + u**10\/15120 + u**9\/12096 + 9*u**5\/20 - 10*u**2. Let h(g) be the third derivative of q(g). Factor h(x).\nAnswer: 5*x**3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 6:17 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 n, 1 z, and 1 m when four letters picked without replacement from {o: 1, m: 1, z: 3, w: 6, s: 1, n: 5}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 214*t**2 - 211*t**2 - 2*t**3 + 666*t**2 - 216*t**2.\nAnswer: 3*t**3 + 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/24*(-8)\/(-2). Let b be (5\/5)\/(o\/(-10)). Calculate the highest common divisor of b and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4957847200 rounded to the nearest one million?\nAnswer: -4958000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 12 = -6*y. Let t = y + 0. Sort -4, 0, t in decreasing order.\nAnswer: 0, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 1:12 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Let v(i) = -i**2 - 3*i + 1. Let f be v(l). What is the remainder when -4 + 2 - 3*f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 5*g - 5 + g)*(-2 - 2 + 3) as r + i*g and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddr when four letters picked without replacement from dtxrdadadxx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 703.8222 milligrams?\nAnswer: 0.7038222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6 - (-210)\/(-140). Which is the biggest value? (a) -3\/4 (b) 11 (c) k (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1134, -5, -7, 1.\nAnswer: -7, -5, 1, 2, 5, 1134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-375)*((-135)\/120)\/(3*(-6)\/(-96))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 7 = 7*r. Let b(l) = -5638*l**3 - 2*l**2 - 2*l. Let y be b(-1). Find the third derivative of 3*d**r - y*d + 6*d**2 + 5638*d wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.648 + -851142?\nAnswer: -851169.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -73. Let b be s\/36*(-3)\/4. Let u = -1 + 4. Sort 5\/9, b, u in decreasing order.\nAnswer: u, 5\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*v, -31*v + 29*v + 25524 = 4*q. What are the prime factors of q?\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170781 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-7 + 1 + 4). Suppose 3*x + 255 = 3*q + q, u*x - 9 = 0. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8644*i**2 - 26 - 18 - 8645*i**2 + 9*i + 10*i - 10. Calculate z(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:21 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s - 7. Let x be t(3). Suppose 5*r - x*r + 185 = v, 3*v = -3*r - 165. What is r rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -1 - (16 + -19) - (-74 - -74)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a centimeter?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -177732 greater than -177261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -14, -0.5, 1\/4, -10, 0.17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140578 is divided by 33794.\nAnswer: 5402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - -1.4. What is the second biggest value in j, 2\/13, 2, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 18*w**2 - 18*w + 23. What is the remainder when n(-17) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 15 + 10 = -5*k, 2*k - 4*q = 8. Find the common denominator of 24\/35 and (475\/(-15))\/(16\/k).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o = -15. Let d(g) = 2*g**2 - g - 1. Let i(m) = -m**2 + 5*m - 5. Let b be i(4). Let t be d(b). Solve -o*a + t - 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*p**2 - 106 - 110 - 106 - 106 + 431.\nAnswer: -303*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, 0.3, -4\/5, 74.\nAnswer: -4\/5, -0.11, 0.3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)\/(m*m**(-4)*m) assuming m is positive.\nAnswer: m**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 2\/55, 2 in ascending order.\nAnswer: 2\/55, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000012758142 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 327477 (base 9) to base 11.\nAnswer: 12409a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(12\/9*6\/8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 94. What is i(-29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 616 divide 18134424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 0*q**2 + 1 - q**2 - 7. Let m = -260 + 260. Calculate a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*v - 5*g, -22*g + 4 = 2*v - 19*g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 bigger than 153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 4 - (7 - 5). Let d(l) = q - 87*l + 9 + 89*l. Suppose -27 = -5*u - 12, -9 = 4*p + 5*u. What is d(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y**3 - 2*y + 1. Let a be i(1). Suppose -3*d + 413 + 46 = 0. Calculate the greatest common divisor of d and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 6. Let r be f(-5). Let i = 6 - r. Suppose -i*b + 3*b = 14. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -18*w + 6. Suppose -4*o = 2*o - 2*o. Suppose g + 4*g - 26 = 3*i, o = -4*i - 2*g. What are the prime factors of u(i)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 859653673?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.40853 to 2 dps.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7))**(-8\/7)\/(y\/(y\/(y*(y\/((y*y*(y\/y**(2\/9))\/y)\/y*y))\/y*y*y*y)))**(1\/5) assuming y is positive.\nAnswer: y**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((4 + -7)\/6)\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 570 and 480.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4917 + -2398. List the prime factors of c.\nAnswer: 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -6, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -22.423981?\nAnswer: -17.423981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 10 = 8*b, -2*b + 3*b - 112 + 118 = -5*o + 2*b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 198202903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 711412391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 220608*j**3*z**3 + 70*j**3*z**2 + 9*j**2*z**3 - 143*j**2 - j - 8*z**3 - z**2 - 133 wrt z?\nAnswer: 1323648*j**3 + 54*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - 3*q**2\/2 + 1. Suppose -12 = m, -5*c - 4019 = -m - 4006. Determine p(c).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 66 - 177. Calculate the remainder when o is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18072853*p**6 - 15703950*p**2 wrt p.\nAnswer: 2168742360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21*(4 - 22\/6). Suppose b = 3*v - 2. Find the first derivative of -v - 15*l**2 + 13 + 0*l**2 + 1 wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 75630131\nAnswer: 7563013.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48850974 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)*(-2 - -3). Suppose d = 4*f - 4 - 4. Suppose -b = f*p - 68 + 1, 3*b - 156 = 3*p. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.51 (b) 0.05 (c) 7377\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 9) to base 2\nAnswer: 111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.6*-3.\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -505*w**2 + 5*w - 7*w - 39 + 503*w**2 to the form y + j*w**2 + i*w and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -401 + 403. Suppose -3*g - 2*o + 16 = b*g, -g - 3*o + 11 = 0. Determine q so that -2\/3*q - q**g + 0 - 1\/3*q**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4919 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1252965 and 250593?\nAnswer: 1252965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/2, -687.3 in ascending order.\nAnswer: -687.3, -3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-1) + (-3 - 31). Let x = v - -81. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**4\/6 + s**3\/3 + 2*s**2 + 3. Let i(t) be the second derivative of k(t). Differentiate i(q) with respect to q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65.64548 - 1.9.\nAnswer: -67.54548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4464 and 66681?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyiyoyrrool. Give prob of picking 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dupupxuuuupppucdpp. What is prob of picking 2 d and 2 p?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 0 - 9. Suppose -4*m + 4*a + 7 + 1 = 0, 3*m - 4*a - v = 0. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 89, 88, 87, 86, 85?\n\"Answer: -c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.584 + 1.\nAnswer: 2.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 81226 or 4456?\nAnswer: 81226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -0.024339.\nAnswer: -0.524339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2506*g**3 - 13*g**2 + 13 wrt g.\nAnswer: -15036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -106414 times 0.1\nAnswer: -10641.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194335.\nAnswer: 5, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*u + 173*u + 14*u**3 + 160*u + 16*u**3 + 3.\nAnswer: 30*u**3 + 10*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 6?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 4*l. Let y(t) = 6*t**3 - 2*t**2 - 7*t - 4. Let g(q) = -q**3 + q + 1. Let b(k) = 5*g(k) + y(k). Give b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/198 and 139\/1980.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5575456*g - 3771142*g - 814480*g.\nAnswer: -10161078*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-1\/10)))\/t**5*t**(-1\/2)*t*t*t\/(t\/(t\/(t*(t\/(t\/((t\/t**(-1\/6))\/t)*t*t*t))\/t)*t)*t)*(t**36)**(1\/26) assuming t is positive.\nAnswer: t**(709\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -199*x - 19. Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 76cdd + 5?\nAnswer: 76d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 16*f**2 - 12*f + 57. What is x(-15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:15 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453694, -454363, -455032, -455701, -456370?\nAnswer: -457039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -8 + -12 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321018552.\nAnswer: 2, 3, 165133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j - 4. Let k be c(-2). Let f = -132 - -105. Let h = -26 - f. Calculate the greatest common factor of k and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/m*m**(4\/9)\/m*m)\/(m\/m**(2\/9)*m*m*m**(1\/6)))**(-5\/4) assuming m is positive.\nAnswer: m**(29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/5 and 31\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(u + 3*u - 2*u + (2*u + 0*u - u)*(2 - 5 + 2) + 0 - 2*u + 0 + 0*u + 2*u - u - 2*u - 2*u + 2*u + 0*u + u - 3*u - 12*u + u + 2*u).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = -0*q. Let u = 10 + q. Suppose c = 2*h - 11, u*c + 5*h - 10 = 2*h. Is 0 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/21)*f**(3\/4))\/((f*f\/(f**(1\/4)*f))\/((f\/f**(-1))\/f)))**(-9\/8))**(-9) assuming f is positive.\nAnswer: f**(621\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -383965 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/8 + 8989389*r\/8 + 8989395\/4 = 0. Calculate r.\nAnswer: -2, 2996465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/5, 18, 7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 24.2+-1\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 203 + -32. Suppose 2*y + q = 3*d, 0*y = -5*d + 5*y + 290. Suppose 2*s = 7 + d. What is the remainder when 90 is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:56 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -2, -29, -90, -197, -362, -597?\n\"Answer: -2*r**3 + r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 13. Suppose -r*s - 6 - 6 = 0. Let y = 58 + -58. Sort y, 4, s.\nAnswer: s, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e7e359 (base 15) to base 7.\nAnswer: 162533013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 2. Let n(x) = -x**3 + x**2 - x. Let d(s) = 6*s**3 - 13*s**2 + 3*s + 12. Let m(y) = d(y) + 5*n(y). Let k be m(8). Give u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/3)\/(b\/(b\/(b*b*(b*(b**(-2\/9)\/b)\/b)\/b*b))))\/(b*b**(-3\/10)*b*b**(-4)))**(-9\/7) assuming b is positive.\nAnswer: b**(13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(539) - 5*(sqrt(539) + 2*sqrt(539))) - (4*(-1 + sqrt(539) - sqrt(539))*1)**2).\nAnswer: -588*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1567 + -1559. Solve -12 = o*t - 14*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 26285688?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -328*d + 207*d + 130*d + d**2 - 10. Give q(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3893770\nAnswer: -2\/1946885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - -25. Let t = -27 + p. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/z**(-1\/3))\/z)\/z)\/z*z\/(z\/z**4)*z*z*(z*(z**(-2\/5)*z)\/z)**26 assuming z is positive.\nAnswer: z**(314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 27416*r**3 - 46175524*r**2 - 2747741184*r - 40179400704.\nAnswer: -4*(r - 3456)**2*(r + 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 371 divided by 18.\nAnswer: 371\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 6 = m, 2*m - 13 = 3*u - 21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etvsteetcvcatvv. What is prob of picking 1 t and 1 a?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8680, -17987, -27292, -36595?\n\"Answer: l**2 - 9310*l + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -528*r - 535. Let j be c(-1). Sort -12, j, -4, -22, 0 in descending order.\nAnswer: 0, -4, j, -12, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111540277 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:07 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 10*d**2 + 12*d + 27. Let t be r(-9). Solve -4*b + t*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-20))\/((-24)\/16). Which is smaller: n or 0.067?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 + (-44 + 22 - 26)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310232 + -201301130?\nAnswer: -200330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -11, 5, -7 in decreasing order.\nAnswer: 5, -0.5, -1, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aabb when four letters picked without replacement from {u: 1, g: 4, b: 5, i: 3, a: 5}?\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h - 3*h + 0*h + (-5 + 4 + 5)*(2 - 2 - 2*h) - 6*h + 5*h + 0*h - 26*h + 10*h + 14*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*o*z**3 - 88*o*z**2 + 282513*o*z - 23*z**3 wrt z?\nAnswer: -48*o*z - 176*o - 138*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-11140)\/30*37\/2738?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12436 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -126, -96, -68, -42, -18, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/3)\/((-10)\/(-2595))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212222101001 + -1202?\nAnswer: 12212222022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 4*d + 285 = -7*o, -3*d + 288 = 3*o. What is the derivative of -81 + 173 - 81*y**4 - o - 159 - 6 wrt y?\nAnswer: -324*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/(-17255)*17 - 202\/2310. Which is greater: 71 or f?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11721 - 63?\nAnswer: -11784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*g + 1005, 4*g + 5*w = 2*g + 1035. Let h = g - 329. Suppose 0*b - b = -h. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21) + (-60)\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from {r: 5, z: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, l: 2, e: 1, x: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/z**(-1\/6)*z)\/z)**36*(z\/(z*z\/(z**(-5\/11)\/z)*z)*z)\/(z\/z**(6\/11)) assuming z is positive.\nAnswer: z**(1222\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -0.4 (b) 1\/3 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 789476 divided by -394738\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 15*o**2 + 12*o - 22. Let b be x(-14). Solve -14 = -4*w + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dssssssssssssssssd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20*o = 64 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28464162 to the nearest integer?\nAnswer: 5335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 13907*-0.365\nAnswer: -5076.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g - 5. Let j(m) = 4398*m + 7330. Determine 1466*b(x) + j(x).\nAnswer: 1466*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14 * 14679.\nAnswer: -2055.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 33 = -0*o. Let c(y) = -29*y**3 + 77*y**2 - 34*y - 12. Let k(q) = 465*q**3 - 1233*q**2 + 543*q + 192. Let r(h) = o*c(h) + 2*k(h). Factor r(b).\nAnswer: -3*(b - 2)*(b - 1)*(9*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3 + (0 + 2 - 1)*(-4 + 1 + 1))*((3*z**2 - 2*z**2 + 0*z**2)*(-z**2 - 2*z**2 + z**2) - 2*z**4 - 3*z**3 + 3*z**3).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2756 by 2.\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 22961562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from jjjjjjeejj.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 4*p**2 - p + 2. Let y be w(-2). Let l(m) = -y*m + 2 - 2*m - 1 + 4*m. Let v be l(-6). What is the highest common divisor of v and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24412 (base 7) to base 15\nAnswer: 1d54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) -54263 (c) -1 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-52) - (2325\/228 + -9).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 7595072*x**2 - 7595078*x + 15190148 = 0.\nAnswer: -2, 1, 3797537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 + 265*k**2 + 510*k.\nAnswer: 5*k*(k + 2)*(k + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2*(-22)\/(-24)*-9)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/8 + (-34)\/(-8). Let s = 70 + 10. Suppose -4*o = o - s. Solve -16 = -0*b + 4*b - g*i, 4*b - o = -4*i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (14 + -3 - (-62 - -48))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -31 - (-9 + 30).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181221390?\nAnswer: 2, 3, 5, 7, 179, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**4 - 4*m**2 + 3*m**3 - 54*m**3 + m + 16*m**3 + 16*m**3 + 17*m**3 to the form q*m + o*m**4 + u*m**3 + p + w*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t. Let u(k) = 26484*k. What is a(u(b))?\nAnswer: 450228*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.59 + -2.7. Let f = m - 0.09. What is f rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (2 - (3 - 8)) - -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(76)*1)**2 - (sqrt(2736) + sqrt(2736)*-2 + -3 + sqrt(38)\/sqrt(2)).\nAnswer: 11*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 153 = -0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4584 or -2\/89?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7\/(h\/(h*h**(-2\/5)*h)))**(-29)\/(((h**(-4\/7)*h)\/h*h\/h**3)\/(h\/(h\/(h*h\/((h\/(h*h**1))\/h)*h))*h*h)**(-5)) assuming h is positive.\nAnswer: h**(-8849\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129109 and 164.\nAnswer: 516436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1)\/2*-6. Let l(o) be the first derivative of 0*o**5 + 0*o**v - 2 + 0*o**4 + 0*o + o**2 - 1\/6*o**6. Find the second derivative of l(i) wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = 5*g + 134 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:15 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2028*1*(26 + 160\/(-5))?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - 2*g + 2*g + (0 + 1 + 1)*(-5*g - 3*g + 4*g) + 0 + 2*g + 0)*(226 + 42*g**2 - 226 - 2*g) in the form r*g**3 + j + i*g + z*g**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 711005338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -4*d + 19, -20 = -5*d - z. Suppose -2*i - 2*j - 2*j - 16 = 0, 4 = -i - j. Suppose 0 = 4*s - s - i*s. Sort -4, -1, d, s in descending order.\nAnswer: d, s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289 * 112352\nAnswer: -32469728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -247779 or -247782?\nAnswer: -247779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 58*r + 31. Let o(l) = -21*l - 14. Let w(n) = 2*h(n) + 5*o(n). Let y(d) = 4*d - 3. Determine 3*w(f) - 8*y(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 856 by 214.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**4 + 6*o - 3. Let p(z) = 117*z. What is y(p(n))?\nAnswer: 164268*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52948 - 52948 + 2095*n)*(4*n**3 - 3*n**3 + n**3)*(2 - 2 - 1) to i*n**3 + s*n + x + o*n**4 + r*n**2 and give o.\nAnswer: -4190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(1800) + -1)*3 + 2.\nAnswer: 1 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p - 2. Let a be r(2). Let d(y) = y - 7. Give d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 9:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 205, 227, 249?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -2*w**3\/3 + 83*w**2\/2 + 3*w. Let c be y(20). Solve 0 = c*t + 2*t + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 21. Solve u = 5*w - 12 + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -29. Suppose 11*r - p*r = 3. Solve r*z = 2 - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v)*(-2 + 5 - 2) + 5*v + 1 - 3*v + 10.\nAnswer: 3*v + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2359.4 - 2359.3. Sort 435, -3, l.\nAnswer: -3, l, 435","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9 - 3*k**4 - 7 + 17 + 0*k**4 with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:52 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17197? (a) 2\/11 (b) -0.2 (c) -7.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 x, and 1 t when four letters picked without replacement from siutaxs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36620\/3662 - 1078\/108?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157838 not equal to 157836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244722200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 1:59 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 67 = 34*r - 37*r, -3*o = 3*r - 39. Let y(h) be the second derivative of -h**4\/6 + 20*h**3\/3 - 11*h**2\/2 - h. Is 7 a factor of y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2199, 8796, 19775, 35124, 54831?\nAnswer: 78884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 262582 = -5*w + 135482, 0 = 4*l - 3*w - 398096. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbmmbbbb.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38172479, 76344978, 114517479, 152689982?\nAnswer: 190862487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 4*q + 80, 2*a - 4*q = -q + 42. Suppose -4*l - 2*w + 48 = 0, 2*l = -4*w + 2*w + a. Suppose 2*t - 18 = l. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114329 is divided by 7145.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3, -4335, -5, -4, -10 in increasing order.\nAnswer: -4335, -10, -5, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -619*-2.4.\nAnswer: 1485.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2621.\nAnswer: 23589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.987.\nAnswer: -1.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-75) - 82093\/(-625575).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7847.2551 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 2*z**3 - 2*z**3)*(-1 + 0 - 2)*(1 - 1 - 2)*(12 - 3 - 2)*(5*z + 11*z - 6*z).\nAnswer: 840*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (-1*sqrt(216) - sqrt(216)) + sqrt(216))\/(sqrt(108)\/sqrt(144)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2\/3 + 4*x + 10\/3 = 0. What is x?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639756?\nAnswer: 2, 3, 13, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57963801.\nAnswer: 3, 7, 79, 34939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*w - 8*w - 13*w)*(2 - 2 + 1 + 1 - 1 - 1 + (4 + 3 - 5)*(-4 + 2 + 3)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + x + 1. Let n be s(-1). Solve -5*j = 5, -r + 6*j - n*j + 3 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 2. Let n(b) = 2*b - 3. Let u(a) = 3*n(a) + 5*r(a). Let t(f) = 115 + 118 - 474 + 119 + 116 - 7*f. Calculate -t(k) - 5*u(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/26)*q)\/(((q**10\/q)\/q)\/q*q*q*q*q) assuming q is positive.\nAnswer: q**(-257\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - j = -17*w + 12, 2*j + 12 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 4.\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 7381?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 8*v**2 - 9*v + 3. Let r be i(-9). Suppose 4*z - 13 = -5*x + 3, -3*x - 16 = -4*z. What is q in -r*q**2 + 0 + z + 2*q**3 + q**3 - 4*q**3 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:13 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23270266*q**4 - 405496*q**2 + 5*q wrt q?\nAnswer: 558486384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 82?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**3 - 2*z + 1. Let g be j(2). Let o = g - 24. What is the smallest common multiple of o and 9?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 8. Let p(d) = 1. Let m(u) = 3*j(u) + 24*p(u). Let v(z) be the second derivative of 0*z**2 + 0 + 9*z + 1\/12*z**4 + 0*z**3. Calculate v(m(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 2) + 228 + -234?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201617, 201613, 201605, 201593, 201577, 201557, 201533?\nAnswer: 201505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 240 = n, n - 2*n - 2*m + 240 = 0. Let h = -401 + n. Let s = 324 + h. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 2 + -9 + (61 - -49).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1123314 (base 7) to base 9.\nAnswer: 233580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1097, 1058, 1031, 1022, 1037?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 3549974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 - -43. Suppose -2*v + 65 = 3*v. Suppose v + m = j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (0 + 1 - -1). Let u be 183\/t - (-1)\/4. Find the first derivative of -v**2 - v + v - u + 50 wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 761873.\nAnswer: 7, 127, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2468 - 2078. What is the least common multiple of g and 52?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = p - 5*p. Let r be (3\/(p\/(-8)))\/1. Let j = -32 + 27. Put 2, j, r in increasing order.\nAnswer: j, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9537192*h**6 - h**2 - 5383197*h.\nAnswer: -1144463040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 l when four letters picked without replacement from ldddddldlddddddddld.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 13. Suppose -f = 4*q + q - 127, 4*f = -3*q + 491. Let n = -120 + f. Sort 0, n, d in ascending order.\nAnswer: 0, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/3 + 22*a**4\/3 + 40*a**3\/3 - 2*a**2\/3 - 41*a\/3 - 20\/3.\nAnswer: (a - 1)*(a + 1)**3*(a + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 + 2925*c**2\/8 - 88938*c - 89304.\nAnswer: -3*(c - 488)**2*(c + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 + -22 - 17) + (3 - -52)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7225, -57781, -194987, -462163, -902629, -1559705?\n\"Answer: -7220*w**3 - 5*w**2 - w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.83672 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3) + -3 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 182 = -33*p - 19*p + 9*p, 2*p - c = -3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/4653 and -32\/1089.\nAnswer: 51183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320030 (base 10) to base 2.\nAnswer: -1001110001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 14 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -33, 88206 in increasing order.\nAnswer: -33, -8, 88206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {p: 6, v: 8, l: 1, z: 1, e: 2}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1 + 3*s**2 + 1 - 3 + 5*s. Let h(y) = 17*y + 7. Let b be h(0). List the prime factors of z(b).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1559 - -2088.2. Let s = 526 - i. Let o = 3.2 - 3. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29\/3 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4918.0145638 + 0.1.\nAnswer: 4918.1145638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*a - 4*j, -3*a + 4*j = -0*a - 28. Calculate the highest common divisor of 32 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -24. What is the remainder when w*(30\/(-4))\/(-5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - q - 4. Suppose -4*f + a + 13 = -0*a, 2*a = f + 2. List the prime factors of l(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 7*s**2 - s + 9. What is v(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x**2 - 6. Determine k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f. Let y(u) = -10554*u. Give y(q(w)).\nAnswer: 94986*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/44 and -79\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 27*l - 56 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4478 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/11, -5747, -0.03, 2\/3?\nAnswer: -5747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccatdatctptx. Give prob of picking 2 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -18. Let g be 3\/12 + (-14)\/24. What is the third biggest value in h, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*n + 7784 = -59809 + 13208. Solve 0 = 18*c - n + 113 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 6899.\nAnswer: -1\/6899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26904?\nAnswer: 2, 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58 - -17. Let q = r - -41.00031. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**3\/11 + 11090*c**2\/11 - 23700*c\/11.\nAnswer: -2*c*(c - 790)*(7*c - 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 139.3 and 7355596.\nAnswer: 7355735.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-2))\/1)\/((442\/17)\/26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701160 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2639 or 2637?\nAnswer: 2639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.89 + 0.11. Let i = -0.5 + -3.5. Sort i, s, 2, -1\/4 in decreasing order.\nAnswer: 2, s, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-10)*-10*(-14)\/(-56).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yczc when four letters picked without replacement from pkzpzcdykzcdkdzp?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**2*l)**(2\/47)\/(l*l\/(l**0\/l)*l**(-2)) assuming l is positive.\nAnswer: l**(-39\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0677 and -8322.\nAnswer: -8322.0677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1064966, 1064973, 1064988, 1065011?\nAnswer: 1065042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + c = 0. Let f = -0.75 - -0.8. What is the nearest to c in -4, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 27*j**2 - 5*j - 4. Let t be r(-1). Solve -3*v - 21 = -4*x, 0 = -t*x + 26*x - v + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-6)\/(-54)*(-102)\/((-8)\/(-4)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-6))\/(1\/18). Suppose -3*g - x = -8*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((33 + -1)*1)\/2. Let f be -9 + 10 - 6*(-5)\/2. Suppose -7*t + f = -6*t. What is the greatest common factor of t and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*l - 44, 0 = 3*s + 6 + 6. Let v = l + -25. What is the first derivative of -2*b**4 + v*b**4 - 15 + 16*b**4 wrt b?\nAnswer: 76*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (52 - 45) + 0 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.56623 microseconds in seconds?\nAnswer: 0.00002256623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (108 + 18*d**3 - 108)*(14 + 32 - 1)*(-4 - 1 - 5) to the form l + x*d + a*d**2 + o*d**3 and give o.\nAnswer: -8100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 124*p**3\/3 + 142*p**2 - 270*p. What is the derivative of j(n) wrt n?\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 1. Let x(l) = -7*l + 4. Let o = 1447 - 1441. Determine o*b(c) + x(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -355*t - 28 + 2403*t - 30 + 55 + 72*t to the form p + o*t and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {e: 2, r: 6, z: 4, l: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 + (-6 + 2)\/(-4) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1103*t - 429 = 960*t. Let c(p) be the first derivative of 0*p - 12*p**2 + 31\/3*p**t - 3. What is the second derivative of c(q) wrt q?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u - 27. Calculate the remainder when 70 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k + 8. Suppose 2*p - 20 = -d - 2*d, -k*p - 4 = 0. Let z be 3\/2*d\/3. Calculate the greatest common factor of 44 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -14*l**3 - 8*l - 24. What is n(4)?\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 not equal to -107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034654 is divided by 4976?\nAnswer: 4622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192 and 2064.\nAnswer: 8256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = -19*x + 195 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/5500528 and 119\/2680.\nAnswer: 1842676880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7*b - 2*b = -32, -5*b = -5*n + 40. Is ((-198)\/(-24))\/(3\/n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-13))\/(267\/6942)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38, 27, 16, 5, -6, -17?\n\"Answer: -11*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/(-2))\/5)\/(((-36)\/15)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 34*x - 6885 = 36*x. What is the closest to x in 0.1, 3, -0.4, -1\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10485855 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let j(r) = -24*r. Let l be 1\/2 - 8325\/(-150). Calculate l*c(a) - 2*j(a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38904 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Let u be (-44)\/(-3) - (-12)\/(-18). What is the least common multiple of d and 1*(u\/2 - 0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (93002\/584 + -160)*((-104)\/(-3))\/2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -359 > -359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 547755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 15 - 1. Suppose -d + 3 = i + u*i, i = 5*d - 15. Suppose -4*l + 102 = -6. What is the greatest common factor of d and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -22. Let x(f) = -6*f - 4. Let r be x(-6). What is the highest common factor of r and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4761 + -5686. Round a to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 2*w + 3. Let r be d(3). Suppose 2*i = -r*i. Let o(k) = -37*k - 71. Let s be o(-2). Sort 8, s, i in decreasing order.\nAnswer: 8, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s**2 + s**2 + 5 - 8 + 214*s**3 - 177*s**3 - 3. Let u(p) = -1849*p**3 + 301*p**2 + 301. What is -6*u(x) - 301*y(x)?\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.4 (c) 1.23 (d) 1\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 7072.\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99701.\nAnswer: 7, 14243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*f - 196 = 4*f, 0 = -79*a + 74*a + f + 249 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, o: 1, g: 1, f: 5}. What is prob of sequence gff?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 + (-7 - -2) + (2 - 2). Suppose 29 = i*j + 33. Does 1\/384 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*t + 132, 3*l = 5*t + 23 + 63. Is (-12 + (12 - -5))*(l - 1) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2714366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775428246 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let n(d) = 57*d + 52*d - 98*d. Calculate n(g(v)).\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/(-210))\/((-2)\/(-8)). Let u = 0.3 + -0.4. Let x = u - 0.9. Which is the smallest value? (a) 0.5 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 16. Let k(o) = 5*o**2 - 9. Is k(q) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -492 + 489. Sort 2, j, 12 in descending order.\nAnswer: 12, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/15 - (-1144)\/(-10). What is b rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -54, -60, -68?\n\"Answer: -j**2 - j - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/5 + 3984*y + 4960080.\nAnswer: 4*(y + 2490)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -134*p**2 + 149*p - 10. Let y(c) = 201*c**2 - 224*c + 16. Let o(h) = -8*j(h) - 5*y(h). What is the second derivative of o(t) wrt t?\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:35 PM?\nAnswer: 229","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 85 - 1 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0.9, -88, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from aibgbbanibiabii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in 2, 0, 1, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 5. Let r(f) = f - 5. Let s(x) = 3*j(x) - 2*r(x). What is the tens digit of s(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) -2\/13 (c) -0.6 (d) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15314 times 655\nAnswer: -10030670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0086765335 to four decimal places.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 2, b: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 19*s**3\/3 - 281*s**2\/2 + 186*s. Calculate the remainder when 61 is divided by n(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 4*l - l**3 - 3*l**3 + 3*l + 5*l**3. Let d be r(4). Is 1 + (-1 - d)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655008 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -647179 + -46561. What is j rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, k: 3, d: 1, w: 1, j: 5, y: 3}. What is prob of sequence skkk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2025*l - 2942. Let i(g) = -2023*g - 2852. Let r(o) = 5*i(o) - 4*y(o). Differentiate r(p) wrt p.\nAnswer: -2015","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let d be y(4). Let o(f) = 2*f**3 - f**2 + 2*f + 3. Let w be o(0). Suppose 4*m - 9 - w = 0. Solve 1 = -m*r + d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1521002240 - 5?\nAnswer: 1521002231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -35515?\nAnswer: 35543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 3*r**5\/20 - r**4\/12 + r**3\/3 - r**2\/2 - 5*r + 2. Calculate z(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - j - 22, -4*w + 2*j - 452 = -472 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*b**3 + 6*b**4 + 43*b**3 + (3 + 1 - 3)*(-b**3 + 3*b**3 - b**3)*(3 - b - 3).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -401, 4 in decreasing order.\nAnswer: 4, -1, -3, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6 + f**3 - 10*f**2 + 0*f**3 + 15*f + 9 - 2. Let p be g(8). Solve -2*z + p + 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((2 - 3) + 70)\/(-1). Let f = -41 - i. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -2*(-26)\/(-44). Put i, 1\/2, -1\/3 in decreasing order.\nAnswer: 1\/2, i, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2 - 2255*m**2 + 2293*m**2 - 1. Let x(c) = -c**2. Determine -w(i) - 4*x(i).\nAnswer: -34*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -153, 1, 3 in descending order.\nAnswer: 8, 3, 1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 divided by -3?\nAnswer: -311\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.783576 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 102 = -5*o - 22, 0 = 2*o - 8. Let j = -145 + 161. Let w = b - j. Calculate the remainder when 39 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 2:44 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47 or 23?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 0*g + 8*g = 8. Suppose 4*y - 4 = 4. Solve 3*w - y = g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 260*r**2 - 1. Let f(n) = -2*n. What is f(l(i))?\nAnswer: -520*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 + 132*h**3 + 2128*h**2 + 7872*h - 25344.\nAnswer: 2*(h - 2)*(h + 12)**2*(h + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3 - 121\/(-24) and -15\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*4 + sqrt(9)\/sqrt(3)*-4)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 16 - 0. Let v(i) = i**3 - 4*i**2 + 2. Let q be v(4). Suppose 0 = -z - q*r + o, -2*r = r - 6. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6507379 litres to millilitres.\nAnswer: 650.7379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucu when three letters picked without replacement from {u: 7, c: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -15. Suppose -605 - 583 = -22*k. Suppose i*y - k = 12. Calculate the lowest common multiple of y and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/12 - 11*w**3\/6 + 7*w**2 - 2*w + 17. Determine m(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 881762181 to the nearest integer?\nAnswer: 29694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1920288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -80*p**4 - 124532*p**2*v**3 - 152*v**3 + 3*v**2 - 5*v + 652 wrt p?\nAnswer: -320*p**3 - 249064*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from dppvpwvpwpwz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 12*p + 0*p**2 - 16*p to the form i + b*p**2 + n*p and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 783930 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 3*v**2 + 12*v + 1. Let z(o) = -3*o**3 + o**2 + 12*o + 1. Let j(l) = 4*t(l) - 5*z(l). Is j(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 203.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**3 - 3*l**2 + 168137*l - 168137*l + 3*l**2.\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/73 (b) 0.2 (c) 3 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 14652?\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(57)\/(1*sqrt(3))*6 + (-1*sqrt(133)*5)\/sqrt(7) + 3)*-3.\nAnswer: -15 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let v(x) be the first derivative of -2 + 3*x**2 + 4*x**2 - 5*x**2 - 3*x**2. What is u(v(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68617 - -112120. List the prime factors of s.\nAnswer: 3, 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214 and 130219.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1824, 14178, 47572, 112524, 219552, 379174?\nAnswer: 601908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + z**3 + z - z**3 - z**3 - 7*z**2 - 1. Let c be i(-4). Let p be (7\/c)\/((-2)\/3). Is p bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m*x**5 - 26139398*m*x**3 - 3148670*m*x + 20*x wrt x?\nAnswer: -40*m*x**3 - 156836388*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0 - 4. Let t be (2\/38)\/(q\/4). Which is the smallest value? (a) -2\/17 (b) t (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 4 = -k, 5*p + 8*k = 10841 - 10765 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 105*d**2 + 595*d + 495.\nAnswer: 5*(d + 1)*(d + 9)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*u**3 + 2*p*u**2 + 2*p + 141088*u**3 + 86*u**2 - 5*u + 4 wrt u?\nAnswer: -12*p + 846528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1483908, -1483905, -1483902, -1483899, -1483896?\nAnswer: -1483893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1286788*p - 1286803*p = 75 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, -5*q - 2*n - 91 = -6*q. What is the greatest common divisor of 51 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1122156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 12*t**2 - 14*t - 10. Let x be r(-13). Let s be (((-2170)\/x)\/7)\/((-1)\/3). Suppose -2*j = -s + 4. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**4\/24 + 5*y**3\/6 - 14*y**2 - 3*y - 145. Let s be 1\/((-2 + 0)\/8). What is m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m**2\/8 + 91*m\/8 = 0. Calculate m.\nAnswer: 0, 91\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*o**3 + 71*o**3 + 38*o**3.\nAnswer: 52*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -38. Suppose 2*q - 16 - 4 = 0. Let n = q - 8. Which is the nearest to -1? (a) 0.2 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = -140. Suppose 3*g - 4*g - 2*p + m = 0, -g + 4*p = -22. Suppose 3*r = r + g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(7\/4)))\/(f**5\/f*f) assuming f is positive.\nAnswer: f**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose 5 = -5*u + 2*i, 4*u + 2*i + 0*i - 14 = h. Suppose u = 3*b + w - 22, -4*b = -2*w - 34. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 30*b**2 - 55*b - 14. Let f be x(28). What is the lowest common multiple of 4 and (-92)\/322 + (1 - (-4)\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (739 - 678) + -2 + -16 - -16?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9840156.\nAnswer: 2, 3, 67, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhphhhhph. Give prob of sequence pphh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3977336314 + 3977336314 + 84*f.\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/9*-734 - -7. Calculate the highest common divisor of u and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 117 + -94. What is the third derivative of -b + 33*b**4 + u*b**5 - 6*b**2 - 3*b**2 - 33*b**4 wrt b?\nAnswer: 1380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5860 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 135, 319, 581?\nAnswer: 921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3378525393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.4, 0.2, -2\/53?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 0. Suppose -3*a + 5*x - 2 + 26 = 0, -3*a + 4*x = -21. Solve -8*w + a*r + 9 = -f*w, -w = 4*r - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 441 + -230. Does 64 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.81 - 0.29. Let i = 1.9 - v. Which is the closest to -1? (a) 0.2 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veb when three letters picked without replacement from {v: 1, b: 3, f: 1, e: 2, s: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 5 + -1 - -3. Let f be ((-4)\/6)\/((-3)\/p). Find the first derivative of 0 - 8 + 6*a + a - f*a wrt a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n = -28*n + 34. Let s be n*(56\/(-7) - -8). Solve 4*o - 5*j = -3*j + 16, s = 5*o + j - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -6*o - 16. Suppose -5*f + l = -l - 23, 2*l = -o. Does 4 divide ((-3)\/1)\/(f\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 12165268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(14192\/(-62090)*(-2)\/332*7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u - 12*u**2 + 28*u + 2*u**4 + 17 - 44*u + 3*u**3 in the form r*u + y*u**3 + w*u**4 + s + c*u**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005126149 to seven decimal places.\nAnswer: -0.0000513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 34*x + 31*x**3 - 4*x + 43*x - 4*x + 3*x**4 - x**2 - 3*x as j*x**4 + u*x**2 + b*x**3 + l*x + t and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*j - 6 = 0. Let h = 453 - 451. Solve 0 = -2*v + j*o - 4*o + h, -7 = -v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 58 + 17*p**2 + 28 + (-6*p + 3*p + 4*p)*(0*p - 2*p + 3*p) in the form g*p + s + m*p**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4305 + -4335. What is g rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1231 divided by -6438.\nAnswer: -1231\/6438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - -50. Suppose -5*j + 470 = -5*x, 4*x = 2*j - 64 - k. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1728 and 106176.\nAnswer: 955584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 10. Suppose -2*t = i*t - 480. Suppose -4*s = 8 - t. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258773?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -208522946 and 2.\nAnswer: -208522944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-30) - 102\/210*-2. Which is the third smallest value? (a) -1 (b) -2 (c) 1.2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533282139.\nAnswer: 3, 13, 19, 239893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 + -163d?\nAnswer: -1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/99 + (-8996)\/6228.\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272951 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g**2 + 7*g + 4. Let t be n(-6). Suppose 0 = -5*o - 48 + t. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {y: 2, u: 1, x: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2550 and 1950.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 1. Let n be i(-7). Suppose -3*a = -4*f + n, f + 2*a = -2*f + 6. Find the first derivative of 6 + 7*o + f - 3 wrt o.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v - 344 = 38*v - 20*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.17. Let m = h - 2.93. Let c = 3.00000003 + m. What is c rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 33*x + 45. Let d be 9\/((-135)\/6) - 14\/(-60). Sort -3, d, 9, x.\nAnswer: -3, d, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -31. Let h(w) = -w**3 + 9*w**2 + w - 4. Calculate the least common multiple of h(b) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -900 = 30*z - 45*z. What is the greatest common factor of 75 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a822 (base 12) in base 8?\nAnswer: -356432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5466 or -5473?\nAnswer: -5466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/6)\/(((-4)\/12)\/(-1)). Let f(l) = l**3 + 7*l**2 + 2*l + 15. Let i be f(o). What are the prime factors of 126 + -1 + i + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/17, -1\/7, 5, -6, 0.2, 1\/20, 4\/291?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021 = 372*l - 7907 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iziziizi.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 55 = -25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 113745\nAnswer: 113745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 0 - 0 - -5. Let s be (4 - 6)\/((-1)\/4). Suppose 4*o - 15 = 3*j, j + s = 2*o - j. Solve o*d - 9 = b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13104 - -1334?\nAnswer: -11220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -23619\/155 bigger than -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - -4)) + (-4 - (16 - 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13251349 divided by -3?\nAnswer: -13251349\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/35055 and 58\/954275.\nAnswer: 8588475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q**4 + 4 + 3*q**2 - 4*q**2 - 40*q**4 - 102*q**4 - 6 + q in the form o*q**3 + d*q + i*q**4 + r + s*q**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-551*w - 2 - 473*w + 918*w)*(-2 + 2 - 2)*(-2 + 5 + 0).\nAnswer: 636*w + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 415.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(20))**2 + sqrt(5) + -3 + ((sqrt(40)\/sqrt(4))\/sqrt(2) - (sqrt(15)\/sqrt(3) + -5)).\nAnswer: -38 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*58628700\nAnswer: 117257400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -395146 and -13\/17 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-7 + 15 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247 (base 14) in base 12?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - 70\/32*1 and 87\/152.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 8*j + 141 = 45*j. Suppose -6 + 2 = -2*a. Suppose 0 = a*v - j - 3, 0 = -2*q + 5*v + 521. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 + 460*r**2 + 11825*r + 55470 = 0?\nAnswer: -43, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -375*n**4 - 8175*n**3 + 10170*n**2 - 4116*n + 552.\nAnswer: -3*(n + 23)*(5*n - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99605476 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000109861 rounded to seven decimal places?\nAnswer: -0.0001099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 335 = 5*r + 311, 4*q - 16 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -233*y**2. Let h(d) = 2*d - 571 - 578 + 1149. What is h(m(i))?\nAnswer: -466*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1*(-16)\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 4*((-1*sqrt(80)*4 - -5*(-1 + sqrt(80) - sqrt(80))) + -6*(sqrt(80) - (3 + sqrt(80)*1 + sqrt(80))))).\nAnswer: 228 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -93091850 to the nearest one hundred thousand.\nAnswer: -93100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 399134753 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8379\/735 + (-7 + 3)*1\/10. Solve 0 = -g*h + 235 - 169 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a + 363 = -5199. Let m = -300 - a. Solve -29 = 4*t + 4*o - m, 2*t - 4*o = 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224520 and 258720?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -3\/2*o**2 + 121*o - 149\/20*o**5 + 0 + 0*o**3 - 1\/4*o**4. Find the third derivative of m(v) wrt v.\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105142583?\nAnswer: 7, 13, 165059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -2)**2 - sqrt(19)) + 4.\nAnswer: -9*sqrt(19) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**2. Let g(u) be the first derivative of 10 - 3 - 3*u**2 + 2*u**2 - 3. What is n(g(y))?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**2*q**3 - 2*m**2*q**2 - 2*m*q**3 - 622*q**3 - q**2 - 126 wrt q?\nAnswer: 6*m**2 - 12*m - 3732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/12*(56\/(-30))\/(1\/5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -2, 24, 2 in decreasing order.\nAnswer: 24, 2, 1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -2. Solve -2 = j + g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48643 (base 13) to base 11.\nAnswer: 90929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1020985 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) 1.9 (b) -3 (c) -8 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1599841\/11 - -145566. Let n = a + -55939\/440. Find the common denominator of n and 57\/28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7}. What is prob of sequence gg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 - -210. Suppose -v + 1 = 2. Which is the closest to 2\/5? (a) i (b) -17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2592 and 1380888?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 + 2*p + 1. Let o be u(-1). Let i(m) be the second derivative of m**5\/20 + m**4\/12 - m**3\/3 + 68*m. What is i(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 554990525 to the power of 1\/3, to the nearest integer?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115991, -231981, -347971, -463961?\nAnswer: -579951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**7\/840 - c**6\/45 - c**5\/120 - c**4\/4 + 73*c**3\/3 + c**2\/2 - 170. Let j(i) be the third derivative of l(i). Give j(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 436097142 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 4*a - 7. Let w be l(5). Let q(t) = -t**2 - 5*t - 2. Let o be q(w). Suppose 3 = -3*x, h - 11 = -3*x + o*x. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - r)*(-1 - r + 1) + 2*r**2 - 3*r**2 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67039949 or 0.2?\nAnswer: -67039949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, 73, -1, -4, 1 in increasing order.\nAnswer: -4, -3, -1, 1, 30, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5*t**2 - 36*t - 21. Let y(p) = -2*p. What is k(y(r))?\nAnswer: 20*r**2 + 72*r - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 2*d + 27. Let m be s(-6). Suppose 0 = 4*z - 1 - 7. Suppose 1737 = 11*c + 1726. Sort -4, z, c, m.\nAnswer: -4, c, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -3 + 12 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116c0b (base 13) to base 10.\nAnswer: 415075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 - 11 = f, -3*f = -4*w + 33. Let n = 39 - 18. What is the remainder when n is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20182.81 - 20324. Let l = b - -369.13. Let n = -226 + l. What is n rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c - 4 - 7*c + 0*c**2 + 4*c**2 + 5*c**2. Let k(z) be the second derivative of -z**4\/4 + z**3\/6 + z**2\/2 + 17*z + 4. Determine 2*d(v) + 7*k(v).\nAnswer: -3*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -991*h**4\/4 + 7*h**3\/3 + 5*h**2\/2 + 4*h + 1. Let o be u(-6). Let q = 124282 - o. What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + 27. Let z(s) = 22*s**3 - 2*s**2 - s - 1. Let p be z(2). What is the greatest common divisor of p and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22976485 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -94 - -95 - (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/40*(-18)\/(-21)*-1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g\/g**(1\/4))*g)\/g*g)**(-4\/17))**(-46)\/((g*g\/g**(-1\/14))\/(g*(g\/(g**(6\/11)\/g))\/g))**(1\/11) assuming g is positive.\nAnswer: g**(699701\/28798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111221 (base 3) to base 2.\nAnswer: -101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 534, 533, 530, 525, 518?\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((5 + sqrt(1377)*-1)*3 + ((-2*sqrt(85) - sqrt(85))*-3)\/(sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4) - sqrt(5))*-5))**2.\nAnswer: -3060*sqrt(17) + 45117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 4*s**2 - 6*s - 4. Let a be h(-5). Let q be -46*a\/(-1*2). Solve 2*j - q = -5*m, -j - 4 + 5 = -m for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/16*(-8)\/(-6) - 1. Solve c*g = k + 13, -17 = -g - k + 4*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2*j - 3. Let y = 788 + -786. What is i(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5666686.\nAnswer: 2, 2833343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2175832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1033. What are the prime factors of r?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(612))**2 + (sqrt(833) + 1)**2.\nAnswer: 2*sqrt(17) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Let u = 69690 + -69689.8. Which is the smallest value? (a) u (b) r (c) -0.01 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, 0.86 in decreasing order.\nAnswer: 0.86, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(11\/6) assuming a is positive.\nAnswer: a**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89271 or 89241?\nAnswer: 89271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 45*q**3 + 105*q**2 + 95*q + 30.\nAnswer: 5*(q + 1)**3*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15422410 to the nearest ten thousand.\nAnswer: -15420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*o - 1 + 1)*(o - o - 9*o).\nAnswer: -18*o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1340, 3\/2, 136, -2\/3 in descending order.\nAnswer: 1340, 136, 5, 3\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f. Let v(p) = -3374431*p**2. Determine v(s(y)).\nAnswer: -215963584*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(128) + 4 - sqrt(128)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82698 - -149745. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87415244.\nAnswer: 2, 7, 3121973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 1:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62134955 greater than or equal to 62134957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13533131 (base 6) to base 14.\nAnswer: -c0c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.94633878 to two decimal places.\nAnswer: -17.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from {u: 2, b: 5, h: 4, y: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 445 * 0.4.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 70\/(-42) + (-620)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25*z + 1019. Let k be s(69). Which is bigger: 10 or k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.081456 and -89?\nAnswer: 7.249584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4555, 9109, 13663?\nAnswer: 18217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -284, -622, -1094, -1700?\nAnswer: -2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329583?\nAnswer: 3, 61, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*q - 40 - 14, -4*q = -5*z + 33. Suppose z = -r + 12. Suppose r*w + 15 = -2*w. Which is the third biggest value? (a) -0.3 (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/9503 - -37998\/66521. What is the fifth biggest value in x, 2, -3, 1, 8\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/130 - m**4\/26 + 4*m**2\/13 - 1084*m - 1. Let w(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882883704.\nAnswer: 2, 10343, 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 3 = p, -5*z = p + 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 5742. Let i(v) = 118*v**2. Give a(i(j)).\nAnswer: 236*j**2 + 5742","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 69*r - 4. What is u(-1)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f + 11. Let h(k) = 232*k + 232. Suppose 35 = -2*n + 163. Let q(w) = n*r(w) - 3*h(w). What is the remainder when q(5) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 13\/5 of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*w = 25, -2*b - 2 + 14 = 2*w. Let d = b + -5. Let c(l) = 5*l**2 - 2*l**2 - l**d. Let v(m) = -3*m. Give v(c(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -0.8. What is the nearest to -1 in 0.4, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10693*o**4 - 107*o**3 + 25*o + 387 wrt o.\nAnswer: 128316*o**2 - 642*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25290?\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8707.139mg?\nAnswer: 8.707139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20906*g - 2842*g + 23554*g.\nAnswer: -194*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28312, 2, 1.\nAnswer: -28312, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2127 = -5*w - 2046, -3*z - 3*w + 12519 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*x + 553 + 1180, -q + 2*x = 349. Let y = 100 - q. What is the remainder when y is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -10) + -14 + (3 - 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7103.347 days in nanoseconds?\nAnswer: 613729180800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1016 is divided by 334.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 10*t + 19. Let b be x(-8). Suppose -1 = -z + b. Put 3, z, 0 in descending order.\nAnswer: z, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556333 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 42*h - 13956. Let y be n(-141). Let q be 12\/9*3*-1. Sort -1, q, y, -2 in decreasing order.\nAnswer: y, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -38. Let u(c) = 18*c + 5. Let k be u(-6). Let f = r - k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 5.5. Let k(g) = -g**2 + g. Let l be k(2). Which is the third biggest value? (a) -4 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*f + s, 0 = -4*f - 212*s + 211*s - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let g be (-4 - 88\/(-24))*(-5)\/((-15)\/9). Which is the second biggest value? (a) g (b) -0.1 (c) p (d) 0.86\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -47. Suppose -3*c + c = -3*l - h, -5*c = -25. Is l at least as big as 1\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from illibillibibii?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2\/25, -0.3, -506 in decreasing order.\nAnswer: -2\/25, -0.3, -18, -506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -t - 2559, 2043 = 4*d - 12*t + 7*t. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l. Let f(c) = -2*c**2 + 17*c + 21. Let a(z) = f(z) + 4*w(z). Let j be a(-2). Solve -j*n = -2*y - 1 - 6, n = -5*y - 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/2*97\/(41613\/990).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, 106, -2623 in increasing order.\nAnswer: -2623, 58, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 7*x**2 + 5*x - 3. Let h(g) = 4*g**3 + 34*g**2 - 24*g + 14. Let f(c) = 6*h(c) + 28*s(c). Solve f(k) = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:03 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471015378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 7*z + 12. What is m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -54.181 and -9.41241?\nAnswer: 44.76859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujjjujgujjuuuw. Give prob of sequence gu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s**0*s)*s)\/s))**(-44)\/(s**5\/(s**4*s)))\/((s**(2\/7)\/s)\/(s\/(s\/(s*s**(-6)*s)*s)*s))**13 assuming s is positive.\nAnswer: s**(-607\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/122 and 7\/17354744?\nAnswer: 17354744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644046 = -21*q + 3*j, 23*j - 2 = 21*j. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -168 + 186. Suppose -b*p + p = -561. Calculate the highest common factor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01453702392 to 5 decimal places.\nAnswer: -0.01454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (93\/18 + -5)*-12. Which is the fourth smallest value? (a) -1094 (b) -0.5 (c) m (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 241*t**2 - 475*t**2 + 233*t**2. Let d(n) = -215*n. Calculate d(o(i)).\nAnswer: 215*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7036 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/440)\/(23\/5 + (-10 - -5)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9968, 19563, 29134, 38669, 48156?\nAnswer: 57583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 99968300*x**2 - 499683050244500*x.\nAnswer: -5*x*(x - 9996830)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 22 = 5*u. Let y = -595 + 602. Put 4, 3, u, y in descending order.\nAnswer: y, 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 5.1665742.\nAnswer: 1.03331484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20 + 23 - 27 - 64*d**4 wrt d.\nAnswer: -256*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -8?\nAnswer: -57\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1110000111010101111110001100?\nAnswer: -1110000111010101111110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 11*i + 132 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, c: 1, u: 1, k: 1, a: 1}. Give prob of sequence uau.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41558, 82686, 123814, 164942, 206070, 247198?\n\"Answer: 41128*d + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004429063 to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from {g: 8, f: 5, m: 1, b: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 0.8. Let u = y - 2.2. Which is smaller: 2\/9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6)*0 - 0. Suppose 0 = 3*o + r + 31, 0 = -o - b*o + 5*r - 37. Let i be 16\/(-126)*(-9)\/o. What is the third biggest value in -1\/10, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + y - 12 = -19, -5*l + 5 = -3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(54\/450*(-2)\/(-6)*1\/(-2))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -93 - (0 + ((-3620)\/(-121))\/(-5))?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 divided by -41?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose -j + 4 = g*m, 2*j + 2*j - 5 = -5*m. Is 1 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j - 47 + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*u + 260 - 314 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 31 = 1. Calculate the highest common factor of 305 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 226962?\nAnswer: 1588734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*l - 14. Let p be -10 - 42\/(-6) - 7\/l. What is q in -1\/4*q**2 + 3\/4*q - p = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*5)\/((sqrt(48)\/sqrt(6) + sqrt(8))*-2).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l = 35*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m + 74*m - 4705 = -5*o, 0 = -3*o - m + 2830. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-110))\/((-5)\/(-10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 3*h)*(3*h + h - 2*h) + 0*h**2 - 2*h**2 + 0*h**2 + (h + 0 + 0)*(-1 + h + 1) as x + j*h + a*h**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 133*f**4 + 8*f**2 + 66*f. Let q(x) = 44*x**4 + 3*x**2 + 22*x. Let g(n) = -8*q(n) + 3*z(n). What is the second derivative of g(h) wrt h?\nAnswer: 564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*s + 51, -2*s = -0 + 2. Let f = a + -19. Let p(c) = 18*c**2 - c - 1. Let v be p(f). Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 6)*(2*m + m - 7*m)*(3 - 1 - 1).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 83 - 98 - (-3 + (3 - 1))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 - 4 + w**2 + 6*w**2 + w + 5. Let z(n) = 9*n**2 - 2*n + 11. Let g(x) = 2*a(x) + z(x). Differentiate g(k) wrt k.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0608478275 to five dps.\nAnswer: -0.06085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k. Let m(v) = -10*v. Determine p(m(j)).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {w: 1, i: 5, d: 7}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1019*m**3 - 1878*m**3 + 858*m**3 + 904.\nAnswer: -m**3 + 904","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + 23*c - 4. Let x be f(-6). Let m = 228 + x. What are the prime factors of m?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104130 and 6770?\nAnswer: 70496010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-2*v**2 + 4 - 4)*(-v + v - 2*v)*(84*v + 5310 - 5310).\nAnswer: 672*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569928 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4641)\/(-208))\/51*2)\/((-189)\/(-12)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/((-46)\/(-1564)*85)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -1681?\nAnswer: -1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/180 and 103\/2114568.\nAnswer: 10572840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15*6\/36*(-1 + 3). Let f(i) be the third derivative of i**5\/30 - i**4\/3 - 2*i**3 + 2*i**2. Let h be f(d). Put 3, h, 0 in increasing order.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 0 - 1\/6*l**4 + 0*l**2 + 4*l + 0*l**3 + 1\/10*l**5. What is the third derivative of p(r) wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/193 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43\/6 + 181\/24. Which is the nearest to 10\/9? (a) -0.3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**9*h**(-1\/4)*(h\/h**1)\/h**6 assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97993328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (2 - (-8)\/(-2)). Sort 0, q, 5 in decreasing order.\nAnswer: 5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k + 2. Let p be s(2). Let h be (75\/(-6)*-4)\/1. What is the highest common divisor of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118555 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39008 and 43291566.\nAnswer: 2438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**4 + o**3 + 53*o**2 - 212*o - 319718?\nAnswer: -8*o**3 + 3*o**2 + 106*o - 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*p**3 + 68*p**2 - 560\/3*p.\nAnswer: 4*p*(p + 28)*(2*p - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7160061, 7160060, 7160059, 7160058, 7160057?\n\"Answer: -w + 7160062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from llllfffflll?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/(-54))\/(45\/(-108))*(-6)\/(-412))\/(-1)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 + 82. Suppose 0 = 4*l - 4*i + 34 + 18, 95 = -5*l - i. Let k = 32 + l. Solve 3*a = -4*z + c*a + k, -z = a - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 88*k - 1. Let n(d) = d + 23. Let o(f) = 16*f - 138. Let h(c) = -6*n(c) - o(c). What is r(h(w))?\nAnswer: -1936*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) -26 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3253\/11 - 296. Let w = -2729.6 - -2730. Put w, 0, a in ascending order.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1210 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 1\/43 (b) -3\/13 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 35*j**2 - 145*j + 9. Give d(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1124041 - -4?\nAnswer: -1124034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22705? (a) -1\/6 (b) 0.13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q - 114. Let h(o) = 28*o - 229. Determine 3*h(x) - 5*u(x).\nAnswer: 4*x - 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2430))\/sqrt(6).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/105*-44 + (-8)\/(-12). What is the closest to 1\/2 in -0.07, 2, f?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 415\/(-190))*(-16)\/28?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 9*f**5\/2 + f**4\/24 - 149*f**3\/6 + f**2 + 16*f. What is the second derivative of x(d) wrt d?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1 = 4*f - 33, 2*f - 2 = 2*i. Suppose 4*x - 27 = 3*a, -9*a + 11*a = 2*x - 14. Calculate the remainder when x is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/2 of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.2 - 0.075.\nAnswer: -18.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/20 and -53\/330420?\nAnswer: 330420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 4626*i + 24820520\/9.\nAnswer: -2*(i - 21397)*(i + 580)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15.5 in 3, 7, -6, 0, 2\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6)\/((-4 + 5)*-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - -5 - (-298 + 9). What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(288)*-3).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}