diff --git "a/data/dm_maths/full_data_2/10487_11255.jsonl" "b/data/dm_maths/full_data_2/10487_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10487_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 1073920 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -709493\nAnswer: 709497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(1\/16)*p)\/p)\/p*p)\/p**(-9\/5))**(-17) assuming p is positive.\nAnswer: p**(-2533\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/21 (b) 1\/309 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/13)*p**(-7)*p\/p**(1\/37)*p*p*p**(-1\/40) assuming p is positive.\nAnswer: p**(-73521\/19240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:55 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103264 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*6\/(-12))\/(-20*12\/4848)*-2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 1778. Let y(x) = 11*x**2. Determine m(y(l)).\nAnswer: 55*l**2 + 1778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -2\/3*r**2 - 3*r + 1\/18*r**4 + 0 + 1\/9*r**3. Let y(v) = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - o - 4. Let m(f) = 2*f**2 + 5*f**2 + 4*f**2 - 3 - 10*f**2. Let j(p) = 2*d(p) - 3*m(p). What is j(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1560.0866083 - 1558.3766. Let z = u + -1.71. What is z rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1938060843 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x. Let k(t) = -64*t**2. Give a(k(w)).\nAnswer: -192*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1976\/(-468) + (1 - -3). Put -10, -8, 3, a in decreasing order.\nAnswer: 3, a, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1300715?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -9*r**3 - r**2 + 2*r - 1. Let q be a(1). Let c be 20*(-5)\/(-40)*2. Let u(y) = y**2 - 3*y - 19. Let n be u(c). Do n and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000392129823 rounded to seven dps?\nAnswer: 0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6290 and 4588.\nAnswer: 389980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10692983.\nAnswer: 7, 17, 59, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 0.1 (c) 5 (d) -0.3 (e) -638 (f) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098771163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 7*l - 15. Let m(b) = -11*b + 23. Let z be (-2)\/((-1)\/(-2)*(-12)\/(-24)). What is z*r(t) - 5*m(t)?\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00983 to 4 dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -26*j**3\/3 + j**2 - 6*j + 6. Let u be o(4). Let m = u - -637. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:32 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 41*z**6\/30 - z**5\/20 + 43*z**4\/3 + 143*z. What is the third derivative of k(g) wrt g?\nAnswer: 984*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 a when three letters picked without replacement from aaaaaaaalaalaaal.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0277092 to 4 decimal places.\nAnswer: 0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1952 = -2*w + 3*w. Let r = w + -625. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x. Let j be p(-1). Is 14 a factor of 4\/(j + 26\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1403 - 21?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52.821 from -3128.\nAnswer: -3075.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 1:40 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.184.\nAnswer: -1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/4 - 17*x**2\/4 + 4*x = 0. Calculate x.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = 7*n. Let g be (1 + -2 - -4)*-9. Let w be (n\/9)\/(18\/g). Put -1, w, 1\/2 in ascending order.\nAnswer: -1, w, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.0033 + 0.0033. Sort 23, -1\/5, u, -2\/3 in descending order.\nAnswer: 23, -1\/5, -2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 1565694?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3676 by 4.\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*o + v, 0 = -2*o + 2*v + 11 + 1. Suppose -3*i - o = -18. What is the third derivative of 3*z**i + 17*z**2 + 0 + 0 - 26*z**2 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 + 5 = 0. Let t(i) = 6*i**2 - 4*i + 13. Let s(h) = 5*h**2 - 4*h + 12. Let v(y) = 7*s(y) - 6*t(y). Determine v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 3*i + 20 = 4*t, -4*t - 3*i = -20. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5057\/6764 + 4\/1691. Let w = 95.7 + -104. Let a = w - -8. What is the second biggest value in x, a, -3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - ((-45)\/(-25) + 2)*35. Sort g, 1, 3 in decreasing order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*-10*(-9)\/90.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from izivvvvivi.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47914 is divided by 9579.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/22*4*(-3)\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*((-567)\/108)\/((-30)\/40).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 27513261 divided by -3\nAnswer: -9171087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 25541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*p + 26, 0 = -p - 3*p + x - 26. Let c = 69 - 71. Sort c, 3, 2, p in increasing order.\nAnswer: p, c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1\/33, -3.1, -1\/2, -2, 0.3 in descending order.\nAnswer: 0.3, 1\/33, -1\/2, -2, -3.1, -16","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19*f**4*j**2 + 2*f*j**2 + 663*j**2 wrt f.\nAnswer: -76*f**3*j**2 + 2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4956 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68, 0.3, -3, -2\/7, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1646 divide 215711592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 957412269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/12)\/((-2)\/(-6)) + 3. What is the third derivative of -2*n**2 + 6*n**2 + 21*n**3 + z*n**2 - n**3 wrt n?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 536 (base 11) to base 5\nAnswer: 10034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 903 plus 0.079986?\nAnswer: 903.079986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 3*k**2 + 3*k + 57. Calculate g(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.46 - 5.1. Let j = -0.26 + n. Let f = j - 1. Which is bigger: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 7*u**4 - 29*u**3\/3 + 30. Find the third derivative of l(z) wrt z.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tckckcccek. Give prob of sequence ct.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x = -239 + 335 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39785\/8 - -4973. Which is the fourth biggest value? (a) g (b) 0.1 (c) -6 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 254160323 + 7?\nAnswer: 254160332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -98\/13?\nAnswer: -98\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 11*z**2 + 5*z**2)*(-4*z**3 + 2*z**3 + 3*z**3).\nAnswer: -11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s - 57 = 0. Suppose -k + 34 + s = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 72 = -3*q, -28 = -0*v - 2*v + q. Suppose -36 = -3*w - 6*w. What is the least common multiple of w and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgsggfnsggjssgn. Give prob of picking 1 n, 1 s, and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 15*v**2 + 19*v + 44. Calculate the remainder when i(16) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 3*o + o**2)*(51353 + 52756 - 105355)*(1 - 2 + 3)*(3*o - 4*o - 2*o)*(-5 + 4 - 1) to q*o**3 + x*o + w + h*o**2 and give q.\nAnswer: -14952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u - 40 = 0. Suppose 1350 = -3*i + u*i. Suppose -4*b - 5*z + i = b, 0 = b - z - 50. What is the highest common divisor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 2\/27 (c) 1 (d) -0.902 (e) -0.5 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u**2 + 22. Let h be a(0). Let b be 626\/(-10) + 8\/(-20). Let c = -30 - b. Calculate the highest common divisor of c and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaa when three letters picked without replacement from urjaxaaamxxa.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1399 + -41589. Let t = -40166.201 - y. Let m = t - 0.099. Round m to zero dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22347506 plus 0.2?\nAnswer: 22347506.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 99*r + 54*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2004984694 to the nearest integer?\nAnswer: 1261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -1 + (0 + sqrt(17) - sqrt(17) - sqrt(17)) + sqrt(17))*3)**2 + (-1*sqrt(2057) + sqrt(2057))*-4.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16214647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.74076 millilitres in litres?\nAnswer: 0.00974076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2018 - 1956)\/((1 + -2)*1)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 27. Suppose -r = 3*m + 2*m + 5, -2*m = 4*r + 2. What is the closest to 2\/7 in m, o, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1341, 5390, 12301, 22206, 35237?\nAnswer: 51526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8608994 is divided by 1434830?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-18)\/63 + 5\/7 + -1. Let l = -2.51 + 2.4. Let o = l + 5.11. Which is the third smallest value? (a) v (b) o (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*r - 105*r - 3 - 236*r in the form m*r + b and give m.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -113311223 (base 5) to base 2\nAnswer: -10000000010111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7212*i**3 + 7233*i**3 - 20859*i**3 + 6840*i**3.\nAnswer: 426*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 3\/7 (b) -7 (c) -34 (d) 1 (e) -3.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 11*d**2 - 4*d + 14. Determine w(-11).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006408062 rounded to 7 decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424733 or 35?\nAnswer: -424733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -117? (a) 0 (b) -0.06 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*f + 207891421 = -960591. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414296380 times 2\nAnswer: -828592760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313527 to the power of 1\/2, to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3)*o)\/o**2)\/((o**8\/o*o)\/((o\/((o**(-4)*o*o)\/o))\/o)))**(-20) assuming o is positive.\nAnswer: o**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -0.908, -0.2, 2\/5, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1618 - 1160. Is 460 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -199 + 204. Suppose -9*h + v*h + 12 = 0. Solve 0 = -5*f - 5*r - 15, -h*f - 6 = -r - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -14*d - 1. Let z(l) = l**3 + 2*l**2 - 5*l - 2. Let w be z(-3). Suppose -2*f + 16 = -2*s, 12 = w*s - f + 38. Let x = s + 5. Calculate i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 15 = -2*g, 0*y - g = -2*y - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645 = -30*l + 168*l + 42*l - 4245 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 6 + -11 + (3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7) + (2 - 6) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4 - 31*y**3 - 264*y**2 - 684*y.\nAnswer: -y*(y + 6)**2*(y + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (5 + (-3 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 36.12. Round r to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = 72*h - 1484. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 + 3)*(o**4 + 0 + 0) - 2*o**3 - o**4 + 2*o**3.\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -304*h - 2076. Let n be c(-7). Solve -88*l + 36*l = n for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let z(t) = 11*t + 4. Let a(q) = 33*q + 11. Let i(h) = 4*a(h) - 11*z(h). What is i(k(d))?\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 10:51 PM?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -0.05*317.6\nAnswer: -15.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (-8 + (13 - 19) + (10 - 0))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 34*z**2 - 28*z**2 + 2 - 159*z.\nAnswer: 6*z**2 - 159*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 298 - 661. Let n = 361 + d. Which is the biggest value? (a) n (b) -212 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*r + 11*r. Let c(s) = -19617 + 19606 + r*s + s - 4*s. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245912?\nAnswer: 2, 59, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76, 309, 700, 1249, 1956, 2821, 3844?\n\"Answer: 79*d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/1)\/(40\/60). Suppose -3 = 4*v + c*p, 8*v - p = 7*v + 8. Solve 5*n = -2*j - 24, -3*j + 4*n + v = -7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/5))**(-11)*(d**(1\/2))**(-1\/75))**29)**(6\/5) assuming d is positive.\nAnswer: d**(9541\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o, 2*u - 4*o - 4 = -2*u. Let s be 0 - ((-8)\/(-14) + 0). What is the nearest to 0 in -2\/7, u, 5, s?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (0 + (-8 - -2 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123111 (base 4) in base 2?\nAnswer: -10011011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -8*t**2 - 20*t - 7. Let c(z) = 3*z**2 + 7*z + 2. Calculate -11*c(r) - 4*k(r).\nAnswer: -r**2 + 3*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 140181 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**2 - 16*h + 26. Let f(y) = -3*y**2 - 3*y + 5. Let d(v) = -11*f(v) + 2*l(v). What are the prime factors of d(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 7*y + 6 + 13*y)*(26*y**2 + 16*y**2 - 41*y**2).\nAnswer: 14*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2036, -2054, -2074, -2096?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -q + 4*p, 2*q + 6 = 3*p - 6*p. Suppose 4*t = 5*s - 5092 - 428, q = -2*s - 3*t + 2185. Round s to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11 - 1 - (-40)\/(3 - 13). Solve -b = -5*g + 6*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0 + (-1)\/(-3)). What is the fourth smallest value in 1.2, 0, g, -0.5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 8*m**2 - 5*m + 21. Calculate g(10).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498*v + 1710 = -495*v. Suppose 14*g - 8452 = -v. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 764?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -15*j + 11. Let r be x(5). Let b = 248 - 154. Let p = b + r. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002550435 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 4. Let y be x(2). Let i be (-48)\/y*(-42)\/12. Is 6 a factor of i\/(-54) + 436\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23872025 to the power of 1\/3, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58017?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2039 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265739122, 531478247, 797217372, 1062956497?\nAnswer: 1328695622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fft when three letters picked without replacement from ffoatrr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -59. Let m(u) be the third derivative of 1\/3*u**d + 0*u + 0*u**4 - 1\/20*u**5 + 3*u**2 + 0. What is the first derivative of m(q) wrt q?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15649 - -15683. Let c(o) be the first derivative of 0*o + 3*o**2 + 0*o**3 + 9\/2*o**4 - k. What is the second derivative of c(j) wrt j?\nAnswer: 108*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l = -4*l - 50 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-32))\/(((-72)\/48)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 7. Let d = c + -4. Suppose d = y - 4. What is the remainder when 11 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 65*h**2 + 4*h - 6. Let a(i) = 3*i**2 - i + 1. What is -4*a(y) - t(y)?\nAnswer: -77*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a**5 - 1971*a**4 + 20544*a**3 + 17019*a**2 - 5508*a = 0. What is a?\nAnswer: -1, 0, 1\/4, 12, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -37, -65, -95, -127?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.031 in 1\/4, 2\/3, -2\/3, 0.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634478540 to the power of 1\/2, to the nearest integer?\nAnswer: 51327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (25524\/(-54))\/(4\/(-24762)). Let x = t - 5261043. Round x to the nearest one hundred thousand.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 604210 rounded to the nearest one thousand?\nAnswer: 604000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 3*w + 23, -77*x + 79*x = -30*w - 238 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107757, 107771, 107807, 107871, 107969?\nAnswer: 108107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 4*d**2 + d**2)*(2 + 0 - 1)*(7*d - 4*d - 16*d)*(-2 + 2 + 1).\nAnswer: 13*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 14*v + 5. Let z(d) = 22*d - 2. Let x be z(-1). What is the remainder when c(-6) is divided by x*(-4)\/32*6?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3476094 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -843, -1476, -1643, -1110, 357, 2992, 7029, 12702?\n\"Answer: 39*s**3 - s**2 - 903*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 11, 6, 3, 2, 3, 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*w - 4*p - 4, 0 = w + 3*p - 8. Let f be w\/(-4)*(-712)\/4. Let i = f + -65. Calculate the greatest common factor of 192 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.6107 to one decimal place.\nAnswer: -104.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 158 = 2*v, 2*q - 5 = -16*v + 69. What is the remainder when 1009 is divided by q?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74181257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 3299173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2. Let f(s) = -3653*s. Give f(w(z)).\nAnswer: 14612*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8\/3 (b) -2\/3 (c) -0.05 (d) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 7*l - 7. Calculate q(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 42*y - 41*y + 9086 = 0, -y = -4*u + 36353. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*k + 5*k. Let w = k + 0. Suppose -17 = -w*z + 1. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101010?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -15. Solve -3*w - y = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111629859.\nAnswer: 3, 11, 1483, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946*v + 936*v - 2989*v + 973*v.\nAnswer: -134*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5907.111 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 4) to base 8\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408 is divided by 66?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(32) + 2)*4)**2*-4.\nAnswer: -3072 - 2048*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 2. Let t = -37 + c. Find the common denominator of (-2)\/(-10) + (-1564)\/320 + t and 81\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.11 - 30. What is p rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1770, -10009, -31148, -71637, -137926, -236465?\nAnswer: -373704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 1, y: 1, s: 1}. Give prob of sequence by.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*4\/8*-1. Solve 0 = a*b - 36 + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*f**2 + 6\/5*f.\nAnswer: f*(f + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbszqsqqqqzqssqzsqqz. Give prob of picking 1 s and 2 q.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f - 3 - 2*f + 5)*(-4*f + 4 + 6*f + 0*f + (-7 + 3 + 2)*(-15 - 8*f + 15) - 3*f - f + 3*f) to g + s*f**2 + o*f and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 11029 = 160*h + 11210, -8 = 2*h for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1624 - 14395\nAnswer: -12771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/5, 2, -1\/1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444939 divided by 3.\nAnswer: -148313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-9)*k**14 assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 30 = 2*d. Sort d, -1, 2\/7.\nAnswer: -1, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3122068845 to the nearest integer?\nAnswer: 55875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/4, -7\/18, 94?\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26497745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110993317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -41 - -13 - 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99 - -65) + 69 + -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -81503, -81818, -82129, -82436, -82739, -83038?\n\"Answer: 2*h**2 - 321*h - 81184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5356\/(-412) + (-26)\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - (264 + -140) - (0 + 7)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 1657007.\nAnswer: 4971021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, l: 1, f: 2, k: 2, j: 1}. Give prob of picking 1 j and 1 e.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 3*s + 3*s + 10*s + 8*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/14 + (-6)\/21. Suppose -2*l + 5 = h, -p*h = 3*l - 5*l - 10. Calculate the greatest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**4 - 7*a**3 - 8*a**2. Let f(c) = 20*c**4 - 36*c**3 - 40*c**2. Suppose -4*h + 80 = h. Let z(v) = h*o(v) - 3*f(v). Factor z(k).\nAnswer: 4*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 32*i**3 + 8*i**2 + 17*i - 98. What is the units digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-5)\/(-10))*-12. Suppose -3 = h - c. Solve 0 = -g - h*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let m be w\/2 - 22\/(-60). Sort -3, -0.1, m in increasing order.\nAnswer: -3, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from lblnjljlljllnlllzzl?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*x + 51, -x = h - 4*x - 15. Differentiate -1 - 2*j + 2*j - h*j**3 + 6 with respect to j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 5:04 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 156, 0.5 in decreasing order.\nAnswer: 156, 0.5, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*z + 18 = 0, 0 = 3*r + r + z + 12. Does 22 divide (-24)\/(-1) - (r + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7597 + 242*g - 7597)*(5 - 1 - 3) - 2*g - 3*g + 3*g + 0*g - g + 2*g)*(4*g**3 - g**3 - g**3).\nAnswer: 482*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3 (c) -1 (d) 116 (e) -0.31 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.4 - 1.2. Which is the second smallest value? (a) z (b) 2\/9 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 0\/(2\/(-2)). Let n = -36.6078 + 41.6078. Sort 35, n, r.\nAnswer: r, n, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000690085353 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -8794177\nAnswer: -8794177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.3162\nAnswer: -1.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 4, -2\/17, 0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 653 and 53.\nAnswer: 34609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 7:35 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 68310?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -781882 * 0.062.\nAnswer: -48476.684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 315, 255, 185, 105, 15, -85?\n\"Answer: -5*h**2 - 45*h + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f. Suppose f = -p - 4*p + 1150. Suppose 2*l - c = p, -4*c - 222 = -2*l - c. Calculate the greatest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*n - 500 + 446 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*q - 2*q**3 - 1062*q**2 + 1062*q**2)*(4*q + q - 3*q).\nAnswer: -4*q**4 - 220*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 178056299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7170903 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36330 divided by -2422.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 28, 4, -5, 6, 2 in decreasing order.\nAnswer: 55, 28, 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -10\/3, 168, 72\/11, -2, -1\/4, 1?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.82 - -1.58. Round o to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6*u + 74. Let x be z(5). Let w = 65 + -9. Let s = w - x. 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: Three letters picked without replacement from mfffmmmmmfm. Give prob of sequence mmf.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.71875 - 1.4.\nAnswer: -29.11875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 3 (c) 8\/3 (d) -20 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*l = -0*l + 1766, 2*q = l + 1184. Is 33 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60948, -121896, -182844?\nAnswer: -243792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**2 + 67*w - 12. Let c be g(-17). Let y be (3\/5)\/(1\/c). Solve -1 = 2*i - 5*n - 0, 5*i - 7 = y*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23758 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 5*a. Let l be g(-4). Let f = 64018\/7 - 9148. Which is bigger: l or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558.237 + -0.02.\nAnswer: 558.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 + 2 = -5*m, -k = 4*m - 20. Let h be (((-2178)\/(-15))\/6)\/(m\/30). What is the greatest common divisor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(110) + sqrt(110))\/(sqrt(360)*-5).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 126*y - 12. Let a(d) = -5*d + 1. Let w(b) = 24*a(b) + l(b). What is w(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**2. Let z be -12*(-20)\/(-60) - ((-4 - 1) + 1). Let w(d) be the second derivative of 0 - 12*d + z*d**2 + 0*d**3 - 2\/3*d**4. Give w(o(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zozcocccczoz. What is prob of sequence cccc?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96 - 7. Let s = -57 + o. What is the remainder when s is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 12*q = f, 0 = 2*f - q - 55. Suppose 865 = 10*n - 1885. What is the highest common divisor of n and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23400*p*r**3 + 2607*p*r**2 - p*r - 17*r**2 wrt r?\nAnswer: 140400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 0.49?\nAnswer: -0.0784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 61. Let h = -0.4 + 0.3. Let j = h + 0.1. Which is the closest to j? (a) x (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/248 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*p + 76*p - 779 = 0. List the prime factors of p.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91120013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 7 = y, -3*g + 4*g + 5*y = 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27854605 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**3\/6 - u**2 - 2*u. Let k be l(-6). Suppose -18 = s - k*s. Solve 5*w = c + 3*c - 11, -3*c + 3*w = -s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/5 - 412*t**2\/5 + 2102*t\/5 - 1688\/5 = 0. What is t?\nAnswer: -211, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a06 (base 12) to base 13.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234.5849 millennia to centuries.\nAnswer: 2345.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 33 = u, 5*c + 164 - 5 = 4*u. Let d = 30 - u. Is ((-182)\/d)\/((-2)\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26406, -13814, -1222?\n\"Answer: 12592*x - 38998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76004?\nAnswer: 2, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*i - 52, r - 4*r + 138 = 3*i. Calculate the highest common divisor of 80 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 23 = 4*y. Suppose 4*f - 12 = y. Let r(a) = 21*a + 1. What is the least common multiple of r(1) and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxdxz. What is prob of sequence xz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3260, 6369, 9492, 12635, 15804, 19005?\n\"Answer: f**3 + f**2 + 3099*f + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/(-8) + 0 - ((-855)\/(-76) - 10). Solve -4*u - 17 = q*m - 20, -5*u = m - 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-8) + 1\/(-4)*1. Suppose -82 = -3*d - 1. Calculate the greatest common divisor of c and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -6, 20, 76, 174, 326?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/14, 20, -2, 3 in descending order.\nAnswer: 20, 3, 3\/14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (105\/63)\/((-2)\/(6*-1)). Let q(i) be the first derivative of -4*i**3 + 5*i**2\/2 - 2*i - 87. Let r(g) = 18*g**2 - 7*g + 3. Calculate t*r(a) + 7*q(a).\nAnswer: 6*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1714 (base 8) to base 15.\nAnswer: 44c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c)\/c*c*(c\/((c\/c**(-3\/11))\/c))\/c*c**(2\/7)\/(c*c**(-1\/15)))**(2\/15) assuming c is positive.\nAnswer: c**(-146\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:35 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 49. Let s be 4\/(-10) + (-170)\/p. Suppose -4*h - 138 = -2*f, -f + 0*h + 64 = s*h. What are the prime factors of f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 11 - 693. Let l = 344 - k. Let a be -1*(-1 + -1 + 2). Solve 2*p - l*n + 19 = a, -p + 2*n = 2*p + 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18685270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eea when three letters picked without replacement from {e: 3, x: 1, l: 7, a: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 21*n**2 + 5*n - 5. Suppose 7*d + 203 - 56 = 0. Let z be y(d). Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**6\/120 - x**5\/30 - x**4\/24 - x**3\/6 - 8*x**2. Calculate y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.3. Let p = -0.041 - -0.031. Let i = 0.31 + p. What is the closest to 0 in i, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.267 + -3.267. What is the second biggest value in r, 2, 4\/9, -0.1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (2 - 2) - -83.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*q - 4*b - 436, -2474*q + b = -2477*q - 130 for q.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*q**3 + 89915*q - 43*q**3 - 89915*q - 38*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 172*d - 3491. What is u(-13)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -2201?\nAnswer: -2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.37. Let v = 0.0282 + 0.1018. Let s = w - v. Is s >= -0.001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 136 + 124 = 0. Suppose 2*h = -x*f + 778, 3*h - 146 = -4*f + 893. What is the highest common factor of 32 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1416\/(-240) + 6\/((-3)\/(-3)). Which is the nearest to 0? (a) 3\/5 (b) 2 (c) h (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6314 + 9977. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = 3*i. Let w(l) = -l**2 + 2. Give w(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -366859.7, 0.1, 15?\nAnswer: -366859.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/168 and 5\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o + 11. Suppose o*z = 2*x + 276 + 34, x = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -f - 70, -19*o - 5*f = 23*o - 38*o - 82 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 10965.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 135\/30*(-32)\/(-36). Solve 4*s + 8 = -p*d, -3*s = 59*d - 61*d + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9482848*r + 10236*r**2 - 10240*r**2 - 9482848*r.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220 + -10102022?\nAnswer: -10022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Let z be ((-2)\/(-4))\/(3\/18). Suppose 0 = 7*c - z*c. Solve f*w + 4*v = c, 0*w + 12 = -5*w - 2*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17266040 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 61*b**6\/3 - 1251*b**5\/20 - 3884*b**2. Find the third derivative of w(g) wrt g.\nAnswer: 14640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -44. Suppose -o*g = -2*g - 12. Factor -3\/5*c**g + 12\/5*c - 12\/5.\nAnswer: -3*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46113716 divided by 11\nAnswer: 4192156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 9*c + 4. Let k be h(9). Suppose -k*j + 53 + 29 = 2*a, -2*j - 157 = -5*a. Let p be 41\/44 - 6\/a. What is the closest to 1 in p, -3, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6658, 6657, 6656, 6655, 6654, 6653?\n\"Answer: -d + 6659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(54\/17805) + -15 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5377a8 (base 14) to base 16\nAnswer: -2b1b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21927 is divided by 359?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 1. Let d be l\/102*(-37229)\/(-414). Let h = d - -14\/1173. Calculate the common denominator of h and 43\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6771 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11155030 and 100.\nAnswer: 111550300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60963 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 7832?\nAnswer: 54824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 5:13 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-1)\/(-1))*-1. Suppose 0 = 2*l - g - 300, 5*l + 0*g = 4*g + 756. Suppose -q*s + l = -14. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*q = -62 - 948, 2*q - 10 = 0. Calculate the smallest common multiple of 884 and o.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4) - 3\/(-6). Let a(g) = -4*g**2 - 4*g + f - g**3 + 4*g**2 + 5*g**2. Let x = 11 - 7. Calculate a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(6)\/sqrt(3)))\/(sqrt(8) + (sqrt(64)*1)\/sqrt(8)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1420607894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263689391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -625850, -625866, -625882?\n\"Answer: -16*t - 625834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1585 divided by -66472\nAnswer: -1585\/66472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a + 90. Find the common denominator of (a\/15)\/(1\/(-30)) and (2\/8)\/((-23)\/(-2093)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/3 - 9550*w**3\/3 + 105232*w**2\/3 - 95720*w = 0. Calculate w.\nAnswer: -4786, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1995088 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8525962823609 - 52102158650032646\/6111. Let m = s + -189053\/7. Let v = m + -2\/291. Is -1\/2 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97955252 + 0.7.\nAnswer: 97955252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b. Let i(h) = -9*h**2 + 8. Let r(o) be the first derivative of -2*o**3 + 5*o + 2. Let c(f) = 5*i(f) - 8*r(f). Determine c(v(z)).\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 86.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 q when three letters picked without replacement from aaaqaaaaaaaaaaaaaaaa.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3394 a factor of 1112050580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 4:05 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -4 + 4 + (-3 - (9 + -9)) - 5.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 less than -0.132?\nAnswer: -16.132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-1 + -4 - (-3 + -1))) + -38.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260605899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (594\/(-924) - (14\/(-4) - -3))*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -83.905 * 0.1\nAnswer: -8.3905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4144164?\nAnswer: 2, 3, 367, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10*s**3 - 102*s**2 - 30*s + 494. Determine v(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1596, -12618, -42528, -100770, -196788, -340026, -539928, -805938?\nAnswer: -1147500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4762 + 4764.97. What is the fourth smallest value in 0.3, x, -1\/6, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 2*o. Let s = o + -7. Suppose -3*h - s*l - 4 = -28, 0 = -2*l. Solve h = 2*m + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/(-6)*18*9\/216.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -p - 3*s - 1880, -3*p = -5*s - 1421. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61389856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -10924?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -3. Find the second derivative of -v*b - b**3 + 10*b + b**3 - 4*b**5 wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 57*c**2 - 222*c + 168.\nAnswer: -3*(c - 14)*(c - 4)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2179*1612.\nAnswer: -3512548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 61 - 70 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r. Suppose 4*l - 8 = 0, -3*l + 3 = 3*n - 9. What is the second derivative of 0*c + r*c**n - 2*c**2 + c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 3*g - 279. Let v = g - 209\/2. What is the common denominator of v and (-41)\/(-5*(4 - 5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 + 108*d - 897 = 0.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2 + 237194*j - 474384 = 0. What is j?\nAnswer: 2, 237192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 151*x + 2. Let i be m(8). Let f = -2321\/2 + i. Find the common denominator of -3 - -1 - 12\/5 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -88 + 3*a + 88. Let p(g) be the second derivative of g**7\/1260 + g**4\/2 - 3*g. Let h(r) be the third derivative of p(r). Calculate h(t(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23269643*y**2 - 35687304?\nAnswer: -46539286*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 1040, 1549, 2050, 2543, 3028, 3505?\nAnswer: 3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/7 (b) 589\/6 (c) -1 (d) 6 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 206620.8t in milligrams?\nAnswer: 206620800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:35 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 - -1066?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 215 + 215. Let y(w) = -111*w**2. Determine f(y(p)).\nAnswer: 111*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6734\/(-1443))\/((-1)\/((-3)\/(-1)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 89*f. Which is the nearest to 7? (a) -0.1 (b) -1 (c) f (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -803501362*w + 553272925 with respect to w.\nAnswer: -803501362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128 + -44. Does 21 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/148353 and 10.\nAnswer: 148353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 99796?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12088949 is divided by 616.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 + 4*r - 517. What is d(0)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-12.4.\nAnswer: -260.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2058713 is divided by 382?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(3*i - i - 4*i + (4 - 1 - 5)*(4*i + 5*i - 4*i) + 118*i + 126*i - 107*i).\nAnswer: -250*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/((-1200)\/(-1962))*(4\/30)\/((-72)\/(-240))?\nAnswer: 109\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9427 + 9444. Put -3, 4\/3, c, -1, 4 in ascending order.\nAnswer: -3, -1, 4\/3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6669323818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a. Let k(g) be the second derivative of 10*g**4\/3 + g**3\/6 - 2316*g. What is k(t(o))?\nAnswer: 1000*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 53. Let v = 39 - 122\/3. Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/(-6240))\/((-9)\/(-15)*-1).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9806, -19612, -29418?\nAnswer: -39224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v + 8302 = 2791 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1306 + -3916\/3. Which is the third smallest value? (a) m (b) -0.32 (c) 3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5900033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 17 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 846047521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -5. Let h be 6 - 10\/(-21)*-12. What is the nearest to h in -4, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.064 and 5.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*k**3 - k**4 + 194*k - 194*k - 2*k**2 to the form t*k + l*k**4 + y*k**3 + c*k**2 + b and give y.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 640\/35 + -1 + (-20)\/(-28). Calculate the least common multiple of 7 and ((-8)\/s)\/(-2) + (-1144)\/(-198).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**4 + 22*y**3 + 7*y**2 - 148*y - 132 = 0.\nAnswer: -2, -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/16)\/((-12)\/(-32)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2*a - 40. Let y = a - -43. Suppose -5*i + 14 = y*l + 35, 0 = -l + i + 1. Put l, 4, -10 in increasing order.\nAnswer: -10, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 6, l: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 - 27124*v - 91963922 = 0. Calculate v.\nAnswer: -6781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 2*a**2 - a + 1. What is y(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/((-117)\/(-416)) + 70. Factor -5202*a + 88434 + r*a**2 - 2\/3*a**3.\nAnswer: -2*(a - 51)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000105747419 to seven dps.\nAnswer: -0.0001057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64862*g**3 + 45785*g**2 wrt g.\nAnswer: -389172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*n - 20, 187*n + w + 14 = 184*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/312 and -113\/60954.\nAnswer: 3169608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6054024 (base 7) to base 10.\nAnswer: -719289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omymjdx. Give prob of sequence mox.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15001.\nAnswer: 7, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 87 = -5*v, -110 = -4*h + v - 17. Suppose 0 = -2*a - 0*a + 322. Calculate the greatest common divisor of h and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*(2\/(-4))\/(54\/(-108))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + f + 147 - 2341 = 0, -5*f = 3*x - 1312. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*6\/27 - 0. Suppose 0 = 3*l + 2*l - 20. Suppose -3*b = 2*v + l + 12, -b - 17 = 3*v. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33460063 (base 7) to base 11.\nAnswer: -1704841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -7 - (0 + 1) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 983635 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 h(a) = 97*a**2 - 32*a - 13. Let v(g) = -16*g**2 + 5*g + 2. What is 6*h(r) + 39*v(r)?\nAnswer: -42*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1101000 (base 3) to base 6\nAnswer: 4343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-16 + 48)) + 41 + -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2403169 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30112130203 (base 4) to base 2\nAnswer: -1100010110011100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1092 divide 73414068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 5*y - 36 = -5*m, -5622*m + 5624*m + 5*y = -4 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -7. Let h = o - -50. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162 and 2.1?\nAnswer: 340.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 2, h: 3}. Give prob of sequence kh.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (0 - 8 - -7). Suppose -147 = -3*j - 3*v, -v - d*v - 117 = -3*j. Calculate the remainder when 127 is divided by j.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zg when two letters picked without replacement from zlggsslzgzlzzlgsggz?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g**3 + 5*g**2 - 6*g. Let m(c) = 13*c**3 - 6*c**2 + 7*c. Suppose 2*r + 4*f - 5 = -35, -f - 20 = 3*r. Give r*m(t) - 6*o(t).\nAnswer: 7*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/33137 and -49\/78.\nAnswer: 198822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.368909963 rounded to two dps?\nAnswer: 4.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226079, -226092, -226119, -226166, -226239, -226344?\nAnswer: -226487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1062 - 3017 = -5*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 11344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*60\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q + 2*q + 10*q)*(-2*q + q - q) + 13*q**2 - 32*q**2 + 15*q**2)*(0 + 2*q + 0).\nAnswer: -64*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 + 17612\/374)\/((-21)\/11*-1).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-3)*b*b)\/b**(-4))\/((b\/(b\/(b\/(b*b**(2\/7))))*b)\/(b\/(b\/((((b*b\/(b**4*b)*b)\/b)\/b)\/b)))))**28 assuming b is positive.\nAnswer: b**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7544, 15061, 22562, 30047, 37516, 44969, 52406?\nAnswer: 59827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*l = 16, -2*j + j + 13 = -3*l. Put 4, -2, j in ascending order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -768 + 242 + 263 + 263 - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 != 818\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t. Let d(p) = 288*p**2 + 1. Calculate d(w(b)).\nAnswer: 10368*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1777413, -1777412, -1777409, -1777404, -1777397, -1777388?\n\"Answer: g**2 - 2*g - 1777412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2*(-10)\/(-220)) + 6. Suppose 4*a = -2*r - 3*r + 15, -4*a - 6 = -2*r. Sort a, -1, b, -7 in ascending order.\nAnswer: -7, b, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 55 + 30 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5978 - -6018. Solve 26*k - j = -14*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/32452 and -109\/2660.\nAnswer: 162260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1182*n**2*q**4 - 1955*n**2 wrt q?\nAnswer: 4728*n**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21621050 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 - 1. Let h(k) = k**3 - k**2 + k. Let a(n) = -2*h(n) - r(n). Let b(p) = -p**3 - 5*p**2 + 5*p - 2. Determine 5*a(w) + 2*b(w).\nAnswer: 3*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k - 12*k + 3*k. Let c(n) be the first derivative of 0*n**4 + 0*n + 3\/5*n**5 + 4*n**2 + k*n**3 - 5. What is the second derivative of c(h) wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 18 = 3*f, 5*p = 5*f + p - 28. Let s(y) = 4*y + f*y - 11*y. Let o(j) = 2*j**2. What is s(o(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 2*r**3 - 2*r**3 + 51*r - 14255*r**4 + 14228*r**4 to w*r**2 + m*r + f*r**3 + a + t*r**4 and give m.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 26*m + 29 - 5\/12*m**4 + 0*m**2 - 5\/2*m**3. Let t(k) be the first derivative of c(k). Let t(b) = 0. Calculate b.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:12 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12250 = 2*q + 1570, -5*q = 2*m - 21360. Suppose 12*p - m - 75372 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + d + 4, -2*d + 7 = 3*r - 13. Let c(w) = w + 7. What is the remainder when 151\/r - 22\/(-88) is divided by c(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -125. What is the second derivative of -11*z**3 + 291*z**2 - 117*z - 291*z**k - 137*z**5 + 11*z**3 wrt z?\nAnswer: -2740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -15*w + 1. Suppose -1 - 3 = -4*k. Determine r(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10028 - 10028.2. Let q = -0.13 - -1.33. What is the nearest to -1 in p, q, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14 = 41. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012151997 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2225378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312232, 312233, 312236, 312241, 312248, 312257, 312268?\nAnswer: 312281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 6*c + 2. Let p be i(6). Suppose -p*k + 42 = -0*k. Is 21 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 - -110. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -570, 2, -1 in increasing order.\nAnswer: -570, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 11:31 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 - -1589\/5. Let t = p + 161\/55. Let h be ((-24)\/30)\/(((-28)\/5)\/2). What is the nearest to h in -2\/15, t, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 14*o = 3*r - 2, -3 = -2*r + o. Let g = -41.7 + 1.7. Let x = g - -44. What is the smallest value in x, -3\/5, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13856662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3*5\/5)\/(-1 + 2). Suppose -3*y = f - 16, -h*f = 2*y + y - 24. Let 5*g**5 - 3*g**3 - 2149 - 10*g**f + 8*g**3 + 2149 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 3\/7 (c) -1\/2 (d) -21 (e) -1246.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 356406082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/4)*a)**26\/((a*a\/(a**4*a*a))\/(a*a**(-2\/27))) assuming a is positive.\nAnswer: a**(2723\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**3 + 52*q**2 + 58*q + 276. What is u(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.084, 2, -5, -4\/7.\nAnswer: -5, -4\/7, 0.084, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 2:37 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**39*n)**(15\/8)\/(n**44\/(((n*n\/(n*(n*n**20*n)\/n*n)*n*n)\/n)\/n*n*n*n*n)))**(-3) assuming n is positive.\nAnswer: n**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11628572225612479\/22003345964873490 - 110\/12628400377. Let p = g - -2\/24891. Find the common denominator of 13\/22 and p.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from ciijnc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3*-3*-1. What are the prime factors of (-125)\/i + (-2)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*p + 5, j + 8*p - 1 = 10*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 28*j**3 + 124*j**2 - 152*j = 0.\nAnswer: -38\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 - 9*m - 65. Calculate the least common multiple of 695 and f(-5).\nAnswer: 7645","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let k(q) = -2*q - 6*q + 6*q - 14. Give k(s(l)).\nAnswer: 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 16. Let k(f) = 0*f**2 + z + 5*f - 1 + f**2. Determine k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppcppc. Give prob of picking 3 p and 1 c.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 20834.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013338 to 5 decimal places.\nAnswer: 0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6223*l - 3118*l + 4652*l**2 - 3105*l. Let v(p) = -2*p. Calculate h(v(u)).\nAnswer: 18608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(30)*2)\/(-6*sqrt(12)\/sqrt(2)) + -5*(sqrt(125) + 4 - (2*sqrt(125))**2).\nAnswer: -80*sqrt(5)\/3 + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = -s + 21, -5*f - 30 = -s. Let o be 8*s\/((-40)\/54). Let n = -154 - o. What is n rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 8130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.8261 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnmnnnnm. Give prob of sequence mmn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-186)\/(-16))\/(((-32)\/(2176\/187))\/(-22))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12*27\/(-18))\/(-4)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 12*r - 10*r - 6113, 4*c + 4 = 0. Suppose -4*w + 5*v = -0*w - 3061, -4*w = -3*v - r. What are the prime factors of w?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and (393 - (2 + 8)) + (2 - 0)?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*v - 1 = 2*v, 4*a = -v + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 + 223*p + 3. Let l(t) = -14*t**2 - 335*t - 5. Give -5*l(c) - 8*o(c).\nAnswer: -2*c**2 - 109*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/19 smaller than 15327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-4 + 12))\/((-1)\/8). Which is bigger: t or -1\/4341?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8 - 6.5. Let k = v - -2.683. Let b = k + -0.823. What is b rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + -2 + -2 + 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5539*h**2*l**3*y - 2*h**2*l*y - 90*h*l**3*y + h*l**3 + 2*h*l**2*y - 954*h*l**2 - l**2*y wrt l?\nAnswer: -33234*h**2*y - 540*h*y + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*q + 6 = 4*b, 0 = 4*b - 4*q - 12. Suppose -m + 6*m = b. Solve 5*h = -m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 54 = 5*s. Let p be (-9)\/(-6)*138\/s. Let d = p + -25. Put -4, 0, d in decreasing order.\nAnswer: 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 - 3*n - 16. Determine v(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/4 + 5*v**3\/3 + 18*v**2 + 2474. Solve n(o) = 0 for o.\nAnswer: -4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 68 + 53 - 148 + (-4*h + 0*h + h)*(1 - 5 + 2) as d*h + q and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 + 121 = 4*w. Let r = w - 45. Let a(x) = x**3 + 7*x**2 + 5*x + 4. Let h be a(-6). What is the highest common factor of r and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2206 + 2229.03. Let c = i - -5.07. Which is smaller: c or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence boob when four letters picked without replacement from bbbbobbbbbbbbbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 14 + 1. Let f(x) = x - 2. Let z be f(5). Sort z, s, 0 in ascending order.\nAnswer: s, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.22 + 14. Let y = 0.08 - n. Let h be (1\/(-18))\/(1\/4). What is the biggest value in h, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 3*a = -7, 0 = -5*a + 13*a - 24 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmt when three letters picked without replacement from mgltgmmtgym?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 21.401043 months?\nAnswer: 0.00178342025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/169 + -848\/507. Let h(m) = m**3 - 6*m**2 + 5*m - 1. Let r be h(5). Let s be (-1)\/(-3) - 2\/6. Which is the closest to r? (a) s (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222289989 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18 (b) -26 (c) 0.1286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 26. Let j be (6\/12 - 0) + 2\/4. Let s(c) = -1. Let u(y) = j*g(y) - 3*s(y). Differentiate u(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 94, 158, 222, 286, 350, 414?\n\"Answer: 64*r + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*m + 4, -6*m = -4*d - m + 6. Suppose -4*g = d, 0 = -6*w + 3*w + 5*g + 2570. List the prime factors of w.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6226 - -6257. Calculate the remainder when 524 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 = -18. Suppose 2*y - 4 = 3*y, -m*i - 12 = 3*y. Is 0 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 33.6, -0.5, 5, 0.4 in descending order.\nAnswer: 33.6, 5, 0.4, -0.02, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11183961 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 + 4220680*k - 1113383728900.\nAnswer: -4*(k - 527585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:09 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 7)*(2*c**3 - 2*c**3 + 6*c**5 - 2*c**5 - c**5 - c**5 + 3*c**5 + c**5 - 2*c**5 + (-2*c**3 + 2*c**3 + c**3)*(2*c**2 - 2*c**2 - c**2)).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 3\/612)*192\/(-216). Is a less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 35186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + r + 16. Let f be u(-3). Suppose f*c - 2*i = -1636855 - 201563143, -3*c = 2*i + 152400002. What is c rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**2 + 37283880*v + 86880481740900 = 0.\nAnswer: -4660485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -68241485, -68241478, -68241471, -68241464, -68241457?\n\"Answer: 7*w - 68241492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7 + (-51)\/(-9)). What is the third biggest value in 0, 54, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 145 = -9*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 992971\/14*-2 - 3. Is q\/(-24) + 5\/((-15)\/(-1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1024 and 26224?\nAnswer: 1678336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -6. Let w(p) = 2*p**2 + 6*p + 5. Let g be w(-5). Suppose -4*z - 2*f + 5*f = -v, -4*z - 3*f + g = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 6 = -2*k. Let t(w) = -w**2 + 6*w + 5. Let r be t(k). Solve 9 = -r*a - 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -13)*30\/20. Let s(d) = d + 23. Let v be s(x). Suppose 285 = v*t - 3*w, -t + 40 = -3*w - 17. Calculate the highest common factor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 96.14051 centimeters?\nAnswer: 0.9614051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1958277 and -131\/384.\nAnswer: 250659456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 8:34 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 - 1) - (3 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from rjrrdrrrrnrrrrrrj.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*d - 3278 = 0, -2*d + 1597 + 1667 = 4*b. Suppose 4*c - i - b = 0, 4*c = -c + 3*i + 1016. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.024879 and 0.3?\nAnswer: 0.324879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39552553\/377 + 104914. Find the common denominator of c and -89\/232.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = 5*k + 94. Let s be k\/(-25) + (-2)\/5. Let h be s\/12*-2*0. Solve 2*u - u + 3 = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 - -14)\/((-2)\/998) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 141. Suppose 4*b + 15 = -5*o - b, 4*b - s = 5*o. Let d be (0\/o)\/((-2)\/1). Let k(c) = -c + 10. Calculate k(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - 0) + 119\/136)\/1. Let t be (-6)\/4*4\/(-6). Is g at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513888367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a decade in months?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4726 - -264559\/56. Calculate the common denominator of w and (21 - 23)\/(10\/46).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 24, -9 in descending order.\nAnswer: 24, -9, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 5*g**3 + 4*g**3)*(3*g**2 - 4*g**2 + 5*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - o - 2)*(-2*o + 2*o - 2*o) - 25691*o + 51378*o - 25685*o + 38 + 2*o**2 to n*o**2 + b*o + d and give d.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/45, 1\/2, -8402?\nAnswer: -8402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnzv when four letters picked without replacement from vznnvzvvvvvnvn?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.9 - -19. Let c = 0.1 - o. Let q = 99.53 + -104.53. What is the third smallest value in 0, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + 60\/(-6) + (11409 - (-10 + 3)). Calculate the highest common factor of i and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 4:03 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 301\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 1625441?\nAnswer: -1625435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (54\/4)\/3*2. Suppose a + j = -3. What is the common denominator of (-70)\/a - (3 - 1) and -19\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l - 1225 + 637 + 656 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + 0 - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 5566\/97?\nAnswer: 5566\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12871 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -24297335.\nAnswer: -12\/24297335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 4. Let v(w) be the second derivative of w**3\/6 - w**2\/2 + 4*w. Let z be 0 + (-2 - (-1 - -3)). Determine z*v(m) + t(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12705 + 5?\nAnswer: -12700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t - 3. Suppose -37 = 3*a + 5*c, -3*a = -4*c - 4 - 4. What is the remainder when p(a) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 341\/385 - 6\/10. Let d = 3 - -19. Let f = 17 - d. What is the third biggest value in 2, v, 4, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwcbywwwwwwy. What is prob of picking 1 y and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1108*h**2*r**4 + 272*h**2 - 55*h*r**2 + r**5 wrt r?\nAnswer: 26592*h**2*r + 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -79*i**5\/15 - 857*i**3\/6 - 812*i**2. Find the first derivative of y(z) wrt z.\nAnswer: -632*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48760 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*t - 594*t - 366*t + 48363 = 0 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266136 (base 7) to base 8.\nAnswer: -141752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 18 - 3 - 7 + 0*p - p - 5. Let w(z) = -z + 3. Suppose 5*r - 2*i - 2*i - 14 = 0, 5*r - i = 26. Let l(h) = r*q(h) - 7*w(h). Calculate l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -9234?\nAnswer: 2\/4617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-8)*1)\/(13\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 547\/1 - (-7)\/(-21)*-15. Suppose -3*s + v + 129 = 0. List the prime factors of s.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a microgram in nanograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 7*x**2 + 30*x + 6. Determine j(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 469480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at most -42\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-24)*(-93)\/((-6975)\/(-200))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1584)\/(-308))\/((-504)\/(-3234)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 360*c**5 + 13432*c**3 - 428*c - 35998 wrt c.\nAnswer: 7200*c**3 + 80592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -39\/1157360 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 178\/13? (a) -0.3 (b) -2 (c) -1\/3 (d) 7.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.708, -41\/4, -39\/8, -0.4 in decreasing order.\nAnswer: 0.708, -0.4, -39\/8, -41\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 10*j**2 + 10*j - 6. Suppose -15 = 3*o + 33. Let y(v) = v + 11. Let c be y(o). Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-334815)\/(-808))\/(-221))\/(9\/84)?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -372?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 - 2*u + 19. Let z be r(9). Which is the second biggest value? (a) -452\/5 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 2)*(11*a**3 + 15*a**3 - 15*a**3 + (-3*a**2 - a**2 + 5*a**2)*(4*a - a - a) - a**3 + 2 - 2).\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from dpxxxxxpd.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 56087a21?\nAnswer: -56087a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-756))\/((-4)\/24*-2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*v**2 + 3*v**2 - 539 - 50*v + 3*v**2 + 603 + 1801 wrt v?\nAnswer: 16*v - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.23 - -58.77. Let d = p - 58.75. Put -2\/19, d, 0 in increasing order.\nAnswer: -2\/19, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*c - 4 = 14, -4*b + 2*c = -12. Suppose b = g - 1. Solve 23 = -g*m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 3 + 3 + 4 + 5*i**2 - i**3. Let v be h(5). Which is the nearest to -1? (a) v (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4000)*1)\/sqrt(2)*2 - (2*sqrt(2880) + sqrt(45))\/((sqrt(54)*-2)\/sqrt(6)))**2.\nAnswer: 47045\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/(-3) + -11)*(76\/(-28) + 3). Let t = -1 + 3. What is the fourth biggest value in 1, y, t, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 7*z**2\/2 + 21*z - 14561. Let w(l) = 8*l + 20. Calculate -6*n(j) + 5*w(j).\nAnswer: -2*j - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*q - 5*h - 55 = 147*q - 23, 2*h = -4*q - 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 10*f - 9. Let o be l(-8). Which is the nearest to -1? (a) -0.4 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152100?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b1c9 + 0?\nAnswer: -2b1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*y**2 + 443*y**2 + 14*y**2 - 495*y**2 + 18*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77325.\nAnswer: 3, 5, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**24)\/((f**21*f)\/f)*(f**(-3))**(-9\/2) assuming f is positive.\nAnswer: f**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -2. Suppose 51*x = y*x. Solve 2*v - 2*j = x, j = -2*j - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 plus 692?\nAnswer: 691.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 6*y**2 - 4*y + 2. Let u be g(-6). Suppose -8*b = -38*b - 60. What are the prime factors of b\/((-4)\/u)*5?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 4620\/495 + (-235425)\/25200\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1089 + -265. Let i = l - 501. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7385736327 + 1.2\nAnswer: 7385736328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**2 + 68*x**2 - 31*x**2 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1216)*1 + 1)**2 + 2 - ((sqrt(2736) - (2*sqrt(2736) + -2))**2 - (sqrt(2736) + -5*(sqrt(2736) + (sqrt(2736) + 3)**2))).\nAnswer: -5518 - 312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 4 + 76*p**2 + 17*p - 10*p + p.\nAnswer: 76*p**2 + 19*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 6660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 13*x**3 + 28*x**2 - 7*x**3 + 9*x**3 - 38. Find the second derivative of n(d) wrt d.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z**2 + 11*z. Let t(n) = -748*n**3 - 3*n**2 + 51*n + 20. Let f(c) = -3*k(c) + t(c). Find the second derivative of f(x) wrt x.\nAnswer: -4506*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((1 + -1*sqrt(475) + sqrt(475) - (sqrt(475) - (-1 + sqrt(475))*5 - sqrt(475))) + -5 + sqrt(475) + 4*(sqrt(475) + 0) + -1)*-5)**2.\nAnswer: -24000*sqrt(19) + 1189804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((-3)\/(-27) - 0). Let l be -3 + 1 + 3 + -2. Which is the third biggest value? (a) g (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131346791 to the power of 1\/2, to the nearest integer?\nAnswer: 11461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a + 16*a + 10*a + 0*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/136 and -101\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/10)\/((-393)\/786). Is a > -176.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1715) - -1*sqrt(1715))\/(sqrt(252) + -2*sqrt(252)) - (sqrt(240)*5)\/((3*sqrt(96))\/sqrt(8)))*-5.\nAnswer: 85*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-10))\/((-3)\/(-6))*51\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -4*j**2 - 7*j - 7. Let i be x(-9). Calculate the greatest common divisor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(800) - -2*sqrt(800)).\nAnswer: sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 2:28 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46284 and 120.\nAnswer: 462840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5455 by -5.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, 2\/7, 14\/9, 5, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5731\/4 - 1415. Let d be 2 + (27552966\/550520)\/(-7). Let q = 2\/13763 - d. Calculate the common denominator of t and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 160. Let y be (i\/(-10))\/(2\/(-10)). What is the second derivative of -17*u**3 + 2*u + y*u**3 - u wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 1, e: 6, b: 4, y: 5}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:42 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16811*r**3 - 16811*r**3 + 169*r**5 + (0 + 0 + r**2)*(-4 + r**3 + 4).\nAnswer: 170*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-756)\/(-144)*(-1064)\/98\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398434 is divided by 26468?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/90)\/((-5)\/(-25))*2199. Does 367 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.97 (b) -0.3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 8*q + 7*q + 1304, 266 = u - 5*q. What is the greatest common divisor of 90 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 7*j**2 - 30*j - 71. Give y(-9).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(1\/11)*u)\/(((u\/u**4*u*u)\/u)\/u))\/(u**2)**(38\/3) assuming u is positive.\nAnswer: u**(-635\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-21)*(-90)\/4. Solve 28*o = u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1334814 and 3052?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3707*g - 7440. Give p(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 22*m**2 + 1186*m + 21374. Calculate t(-18).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -a + 11. Are -2\/5 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*80\/25.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 8*n + 10*n - 3*n - 49.\nAnswer: -n - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**6\/40 - f**5\/20 - f**2 + 7. Determine b, given that q(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106927 is divided by 2430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saa when three letters picked without replacement from {k: 1, z: 3, s: 7, i: 2, a: 7}?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c. Suppose -r + 6*r - 25 = c. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.25 (b) -1\/2 (c) -0.4 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**2 - 12*q + 12*q - 2 + (-101 - 15*q + 101)*((5*q - q - 2*q)*(2 + 0 - 4) + 4*q - 4*q + q).\nAnswer: 39*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 5, l: 2, z: 3, s: 1, f: 3}. What is prob of sequence zooz?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24420138 and 1746.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -198.3118 to one decimal place.\nAnswer: -198.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*s = -70*s - 132. Suppose 0 = -7*y + 3*y + 120. Let w = -7 + y. What is the remainder when s is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 1. Suppose 0*g + 2*g = k. Suppose -2*f = -2, -5*f + 63 - 13 = g*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78566 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: (5\/10)\/(-18*(-14)\/672*(-8)\/354)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 1:20 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h + 2*h. Let y be -1 + -26*h\/(-1). Let r = -14 + y. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 90*g**2 - 96*g - 455. Let i be j(-91). Let m(a) be the first derivative of 9 - 2\/27*a**3 + i*a**2 + 8\/9*a. Factor m(o).\nAnswer: -2*(o - 2)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.1 (b) 13 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874470.\nAnswer: 2, 3, 5, 103, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 38. Let j(q) = -q + 7. Let h be j(s). Which is the nearest to -1? (a) 3\/7 (b) 12 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136428854 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 781129 or 781214?\nAnswer: 781129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, j: 1, u: 1, l: 2}. What is prob of sequence luj?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -6, 188, -3\/8, 3.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 135 = y. Suppose 0*l = l - y. Let u be (-26)\/(-3) - (-28)\/84. Calculate the greatest common divisor of l and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let p = -10 - -6. Let k be i(p). Let j = 1 + k. Sort j, 3, -3 in increasing order.\nAnswer: j, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 53*d - 1187. Does 6 divide c(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 5*s - 1. Give w(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z + 16050 = 16601 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, 5, -1.66, 6?\nAnswer: -1.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**5\/3 - 376*t**4\/9 + 224*t**3 = 0.\nAnswer: -36, 0, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2007 and -0.177346.\nAnswer: 2006.822654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -2. Let n be (-278)\/12 - (-1)\/2. Let m = -23 - n. Is m <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*n**3 - 2*n + 25?\nAnswer: -78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43335915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173287871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94.9 + 95.1. Which is the fourth biggest value? (a) k (b) -0.1 (c) -0.001 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171)*-2 + sqrt(2736) + sqrt(2736)*-1)**2 + sqrt(19)*5*3 + sqrt(19) + (sqrt(304) - sqrt(304)*-4).\nAnswer: 48*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 0*v - 4*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 5*h + 5*g + 10, 12 = 3*h - 3*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*p - 54 + 234 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:54 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 5*u**4\/12 + 2*u**3\/3 + 42*u. Let j(i) = 4*i**2 + 3*i. Suppose 0*a = -a - 3. Give a*p(h) + 4*j(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94684131 smaller than 94684131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*s**2 + 41 - 23*s**2 - 39.\nAnswer: -69*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3332, -6724, -10130, -13556, -17008, -20492?\nAnswer: -24014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/9 - (-4)\/(-18). Let q be (-4)\/t*1*-3. Suppose -150 = -7*f + q*f. Calculate the highest common divisor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10010680 < -10010680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*t**2 + 32*t**2 - t**5 + 23*t**2)*(-8 + 1 - 5) - 6*t**5 + 0*t**5 + 4*t**5.\nAnswer: 10*t**5 - 492*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b - 18*b - 14*b)*(4*b - 2*b + 4*b) to p + v*b + j*b**2 and give j.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrrrrrrrrrrkrk. What is prob of sequence rk?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-22)*231\/(-42). Let k(s) be the first derivative of 4*s + n*s**2 - 1. Find the first derivative of k(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29*i - 6. What is the tens digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3356068 or 65?\nAnswer: 0.3356068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 6. What is t(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.11 + -4.93. Round y to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 8 = -12*u. Suppose -4*l + 5*d + 13 + 8 = 0, -2*l + u*d = -12. Let g(o) = -o**3 - 3*o - 1. What is the remainder when g(-2) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/1)\/(-4))\/((-35)\/15)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847 - 847 + 753430*w**2.\nAnswer: 753430*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + sqrt(108)*1)*-6)\/sqrt(6))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.31 + -27.\nAnswer: -22.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1102 + -1101.6. Let t(j) = 2*j - 7. Let k be t(6). Which is the second biggest value? (a) 0.5 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-22521.9721\nAnswer: -90087.8884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 20*q**3 - 59*q**2 - 11*q + 145. Let g(s) = -4*s**3 + 12*s**2 + 2*s - 29. Let a(i) = 11*g(i) + 2*k(i). What is the derivative of a(p) wrt p?\nAnswer: -12*p**2 + 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/96 and 7\/66.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1157180 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = 2. Suppose -5*t - 8 = -3*a, -2*t + z*a = -0*t + 5. Let k = t + 1. Is k > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/5107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 513.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/440 and -71\/105.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**3 - p**2 + 2*p - 1. Give v(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 9097.6?\nAnswer: -9097.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25102 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 12*x**2 - 9*x + 10. Let s = 18 + -9. Let w be l(s). Let q be 1\/(-6) - 7\/(-6)*w. What is q rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 99.62. Let n = 0.18 + q. Let k = -2.8 + n. Which is the nearest to -6? (a) k (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*p = -64287 + 64651 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcjccmggcaccnngaam. Give prob of picking 1 a, 1 g, 1 n, and 1 m.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + h**2 - 11*h + 14. Let d be q(2). Is (1 + (-2)\/d)*5678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8685856?\nAnswer: 2, 71, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 195, 403, 623, 861, 1123, 1415?\n\"Answer: b**3 + 201*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -3)*1\/(-2). Suppose x = 4*n - 3*s + 19 + 8, 4*n - 5*s + 37 = 0. Let d(t) = -t**2 - 5*t - 1. Calculate d(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 9 = -2*l - 37, 1358*z + 540 + 1273 = -3*l + 7101 + 5582 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1665 - -0.3.\nAnswer: -1664.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5 + 1. List the prime factors of 5*3*(-5 - k).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.53 (b) 26.98 (c) -1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 84*d**2 + 120 - 237*d + 9\/4*d**3.\nAnswer: 3*(d - 2)*(d + 40)*(3*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-57 - 9*x + 57)*(1 + 0 + 1) - x - 3 + 3)*((-3*x + 4*x - 2*x)*(-3 + 1 + 0) + 2*x + 2 - 2 + 4*x + x - 2*x).\nAnswer: -133*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53573 + -31326. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2392*w - 520 = 2256*w + 1656 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-64)*(-184)\/92.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibih when four letters picked without replacement from ihifthb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49832 - 23530. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -284 by -557.\nAnswer: 284\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 135\/(-18)*(-4)\/6. Let m be (-1)\/g - (-8)\/20. Factor 0 + m*o**5 - 1\/5*o**4 + 0*o - 1\/5*o**3 + 1\/5*o**2.\nAnswer: o**2*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, -8 = -3*o - 4*q - 2. Let d be (-4)\/6*-6 - o. Suppose -35 = -d*b + 9. What is the remainder when b is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 + 685880*w + 2743488.\nAnswer: 2*(w + 4)*(w + 342936)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -360, -1421, -3476, -6855, -11888, -18905?\nAnswer: -28236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1059538.\nAnswer: 2, 67, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35147249 and 401.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n + 7. Suppose -w - 12 = 3*i, -w = -0*i + 2*i + 9. Let x be r(w). Let o = x - -39. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*a*h + 427*a + 143*h + 1059 wrt a.\nAnswer: -59*h + 427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*u**3 + 20*u**3 + 68*u**3 + 5*u**3 - 63*u**3.\nAnswer: 221*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2400499 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y**2 - 6*y + 6. Let u(z) = z**2 + z - 1. Let s(j) = -o(j) - 6*u(j). Let g(w) = -3 + 3 + 3*w. Give s(g(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 9*r = -16. Let f = r - -18. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23489 - -24253. What is the highest common factor of v and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22862*n**2*y**3 + 4*n**2 + 5*n*y**3 + 20716 wrt y?\nAnswer: -68586*n**2*y**2 + 15*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 3*w**3 + 2*w + 3*w - 2*w**3 in the form l*w + c*w**3 + j*w**2 + k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12446 (base 9) in base 11?\nAnswer: 6333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 18*y**2 + 4*y - 42. Calculate w(18).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131\/12 - -53\/4. Which is smaller: l or 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119\/24 + -37\/8. What is the nearest to -2\/9 in 2, -10\/11, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184.4944 + 0.4056. Let h = 185 - y. What is the closest to h in 5, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2254)\/21413*(-19)\/(-10) + (-231)\/(-1005).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -60a3481 (base 11) to base 5\nAnswer: -10224432332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68027 - 68029.8023. Round x to 2 decimal places.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.38 or -2?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2 + 2*p + 1. Let x be q(-1). Which is bigger: 4 or x?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6182.14616 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36396339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 11*m**2 + m - 8. Let l be b(11). Suppose l*v = v + 18. Solve -r - 4 = -v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60052 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 753 = -j + 85, 15 = -5*r. Suppose 4 = 6*f - 5*f. Suppose f*z - 8*z = -j. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:53 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**7\/13860 + z**6\/3960 - z**5\/330 - z**4 - 49*z. Let q(k) be the third derivative of r(k). Solve q(a) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 174. Is 16 a factor of 9\/((z\/(-10))\/(144\/120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**9\/(t\/t**(-1\/14))*(t**0)**(6\/7))\/(t\/t**(-2)*t*t**(-1))**9 assuming t is positive.\nAnswer: t**(-267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5235 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -46. Let f be 1*-5*(-3)\/3. What is the nearest to -2 in -2\/5, n, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233150 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/78 - (-22)\/(-66)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 6*o + 1. Let v(x) = -5*x**2 + 5*x - 1. Suppose -3*w + 10 = -4*y, 6 = -2*w + 2. Calculate y*s(k) - 5*v(k).\nAnswer: k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -2*v**3\/3 - 9*v**2\/2 - 4*v - 2. Let i be g(-4). Suppose j + i - 7 = -z, 3*j - 39 = 3*z. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/28 and 83\/312028?\nAnswer: 2184196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 + 22*a**3 - 226*a**2\/5 + 114*a\/5.\nAnswer: 2*a*(a - 1)**2*(a + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u**2 + 6*u**2 + 11*u**2 + u as i + t*u**2 + w*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/5 + 2\/(-5). Find the common denominator of -6 - ((-462)\/(-40) - (-5 + (-261)\/(-45))) and (w\/12)\/(3\/226).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*x + 6 - 291*x - 1 - 5.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.0217661 minutes to days.\nAnswer: 0.002792893125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -79*x + 12. Let d(f) = 237*f - 35. Let c(s) = -4*d(s) - 11*z(s). Let a be (2 + -5)\/(0 - 12\/(-8)). List the prime factors of c(a).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3901 + 4?\nAnswer: -3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/90)\/(2\/28)*786\/917?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/(-84) + 10\/1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 45\/7. Let r = 1\/3 - -1\/3. Which is the smallest value? (a) i (b) r (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622014 is divided by 2826?\nAnswer: 2716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3168*m**3*o**2 + 370*m**3 - 5*m**2*o**2 + 629469*m**2 + 2*m*o**2 wrt m.\nAnswer: 19008*o**2 + 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 19*b - 17*b + 15 = 0, 3*b - 331 = -49*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -75?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66378368 by 92.\nAnswer: 721504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5479417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23141 > 23143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 1856265?\nAnswer: 9\/618755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 6 - c - 6*c + 11*c.\nAnswer: c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((-270)\/(-24))*5\/(-1). Let t(d) = d**3 - 7*d**2 - d + 7. Let c be t(7). Let s(h) = -h + g + c - h. What is s(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(h**2 + 0 + 0)*(0*h - 5*h - h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 330*o + 215*o - 622*o**5 + 113*o wrt o.\nAnswer: -12440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*y + 63381 - 55781 = 0 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 414274105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -140 + 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3111*y + 1. Let x(q) = -6220*q + 1. Give -5*c(v) + 3*x(v).\nAnswer: -3105*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*v - 414*v - 2361 = 12467 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2109668*o**2*x + 467503*x wrt o.\nAnswer: -4219336*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbbb when four letters picked without replacement from {g: 17, b: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2941 + 2938. Let d = -4.6 - -6. What is the third biggest value in d, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210391528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 645493700 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: In base 8, what is 2743241 - 0?\nAnswer: 2743241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfsfqqfsqsfqs. What is prob of sequence ss?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.705224 millennia?\nAnswer: 705.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**3 - 11*r + 11. Let i(j) = -j + 3. Let s be i(-3). Let w(q) be the first derivative of -q**4 + 3*q**2 - 6*q - 1. Give s*m(y) + 11*w(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 22355 - -4?\nAnswer: 22359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -328?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*c - 105 = 0, -2*a + 3*c = -c + 34. Suppose o + 4 = 4*s + 20, -3*s + 1 = -4*o. Let l = o - a. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 51351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 10419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106277129*t*v**5 + 4*t*v - 50*t + v**2 + 23085 wrt v.\nAnswer: 6376627740*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 8*g + 5*i - 5, 6 = -3*i for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (-3 - -5)) + -4 + 1. What are the prime factors of (-122 + -6)\/(i + 3 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 - -0.6. Let r = -3 + o. Let s = r + 1. Is s bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*v + 10, 5*v = -2*l - 11. Let j(c) = -c**3 - 10*c**2 - 9*c + 5. Let m be j(-9). Solve p = m*i - 10*i + 19, 0 = l*p + i - 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**4\/6 - 7*o**3\/2 - 29*o**2. Suppose -r + 11 = -0*r. Is l(r) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -9, 180 = 4*t + 2*z + 10. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3979 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 105, 214, 319, 420, 517, 610?\n\"Answer: -2*z**2 + 115*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 131*n + 1412. Let p be d(10). Solve -p*c + 22 = -3*g, -5*g = -2*g + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37510*g - 37510*g - 146*g**2 + (0 + 0 + 2*g)*(-4*g + 11*g + 8*g) to the form h*g**2 + v + f*g and give h.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:55 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -9, -21, -37?\n\"Answer: -2*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*t = -33 - 201 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-2)*k)\/k)\/k)\/k*k)**0\/(k**(-2)\/k**(-1\/7)))\/((k\/(k**(1\/10)*k))\/(k\/(k\/k**1)))**31 assuming k is positive.\nAnswer: k**(2517\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4 + w - 1 - 2. Let s be i(3). Let l(n) = 3*n**2 + 3*n**2 - 5 + 2. Let m(k) = 2*k**2 - 1. Give s*l(b) - 11*m(b).\nAnswer: 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.516 and -6321896.\nAnswer: -6321896.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -251569.8062 rounded to the nearest 100?\nAnswer: -251600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 179, 430, 781, 1232?\nAnswer: 1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122\/15 - -25\/3. Factor 0 + d*w + 2\/5*w**2 + 1\/5*w**3.\nAnswer: w*(w + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 1. Let b = 43 - 48. What is o(b)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2 = l, f + 3*l - 69 = 0. Suppose m - 60 = -3*t, 0 = -2*m - 4*t + 51 + f. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 836, 1663, 2490?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*v - 5*i**2 - 306835*i*v - 2*i - 1902*v - 525 wrt i.\nAnswer: 6*i*v - 10*i - 306835*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*w**3 - 28*w**3 + 60*w**3 + 2.\nAnswer: -60*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2\/2 + 10*c + 1. Determine v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 59 = -2*f, 2*f - 3*f = -3*m + 31. Suppose 0 = -y - 6 + m. Suppose -y*b + 42 = -4*b. What is the highest common divisor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 45624 = -5*a - 45628, o + 3*a = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12 - (-24)\/(-4) - -480. Suppose -x = -3*h + 3*s, -3*h - s + 435 = -71. Does 21 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, d: 2, i: 6, w: 1}. Give prob of picking 4 e.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16693205 and 192152.\nAnswer: 133545640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 632 and 882164.27?\nAnswer: 881532.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2268*h**5 + 272016*h**4 + 8147404*h**3 - 532328*h**2 - 418560*h - 28800 = 0 for h.\nAnswer: -60, -1\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-50)*0*(-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 114 + -208 + 1 + 0 + -15\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*w - 25*w - 16*w - 17*w**2 - 22 wrt w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452b3 (base 12) in base 9?\nAnswer: -568480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, o: 1, s: 5}. Give prob of sequence so.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**4\/2 + 3*k**3 - 3*k**2\/2 - 2*k - 45. Let g be c(4). Solve 0 = -4*r - 12, g*q = -2*q + 5*r + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = f - 2*s, -5*s + 0*s = -4*f + 41. Let z = -35 - -38. Sort f, z, -0.5 in increasing order.\nAnswer: -0.5, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31c - 213?\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -27*u - 402. Let q be a(-15). Let f(k) be the third derivative of -10*k**2 + 0*k + 0*k**q + 0 - 1\/40*k**4 - 1\/100*k**5. Factor f(x).\nAnswer: -3*x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (-8 - -2) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6 (b) 0.5 (c) 0.019 (d) 6.43 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -30. Let s = 45 - k. What are the prime factors of 573\/s - (-1)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3574*u = -3579*u - 10, -4 = 2*l - 5*u for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-6)*(-2 - -23).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a. Let m(h) = h - 1. Let p be m(5). Let d(t) = 0*t**2 + 4*t**2 - p*t**2 + 5*t**2. Determine d(c(z)).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28977426971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4522593*h**5 - 8*h**3 + 9038*h**2 + 2*h - 701.\nAnswer: -271355580*h**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-21667)\/(-9220)*(-4)\/(-1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2\/27, 0.2, -2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -2\/27, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -4347be?\nAnswer: 4347bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -129, -130, -133, -138, -145?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-646)\/(-646))\/((-7)\/(-280)*-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, -1, -3, 2 in ascending order.\nAnswer: -284, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571286 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/5))\/g)**42\/((g*g**13*g)\/(g\/g**(-16))) assuming g is positive.\nAnswer: g**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 13*l**2 + 29*l + 14. What is g(15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgrrrmwggga. What is prob of picking 1 g and 1 r?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let q be 208\/39*354\/(-4). Let p = -472 - q. Give d(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*o - o - 5*o)*(-7 + 1 + 3 - 4*o**3).\nAnswer: -28*o**4 - 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1280.\nAnswer: 7\/1280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/11 + 164*l**2\/11 - 3362*l\/11.\nAnswer: -2*l*(l - 41)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -1379, -2381, -3383, -4385?\nAnswer: -5387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 2\/5, -5, 1.51?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 3 + 6*x**3 - 2*x**3)*(-2*x + 2*x + 3*x).\nAnswer: 6*x**4 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-1881)\/264*8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27c (base 15) to base 14\nAnswer: 2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 1. Calculate p(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13470, -26403, -39336, -52269, -65202, -78135?\nAnswer: -91068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -0*n. Let p(m) = 16*m**3 + 12*m**2 - m + 7. Is p(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1931 - -424. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 41256.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) -19 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in -589\/10, -11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*h - 3 + (-3 - 1 + 5)*(17 - 17 - 2*h) - 31*h - 2*h - 80*h.\nAnswer: -111*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - k + 3*k - 4, k = 5*y - 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5474889 + -995111. What is q rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-1 + d + 1)*(23*d + 5191 + 3*d - 2389 - 2010).\nAnswer: -52*d**2 - 1584*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -394 and 110745?\nAnswer: -43633530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6608841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49347840 divided by -384.\nAnswer: -128510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93279436 divided by -2454722.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2825 = i, -3*i - 7060 = -5*q - 5*i. Suppose -8*v + 2*v = -q. What are the prime factors of v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 5*d + 5. Calculate the remainder when 31 is divided by m(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -727*r - 166*r + 1595 = 2150*r - 174899 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**3\/3 - 5*k**2\/2 + 2*k. Let b be (-1)\/1*5 - (-42 - -41). What is v(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 - 3*j**2 + 3*j**2 + (-2*j**2 + 4*j**2 - j**2)*(15*j + 9*j - 48*j).\nAnswer: -23*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 1991.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**2*z**3 - 2*r**2*z**2 - 2*r**2*z - 1506*r*z**3 - 3*z**6 + 2143*z wrt z.\nAnswer: 6*r**2 - 9036*r - 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.08, 0.13 in increasing order.\nAnswer: -0.08, 0.13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 = -42*t + 16*t + 61 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + 0 + sqrt(72) + sqrt(72) + sqrt(72) + (sqrt(72) - 1*sqrt(72) - sqrt(72)) + -5 - (sqrt(72)*-1 + 5)*1) + 5)**2 + -3.\nAnswer: -9360*sqrt(2) + 14590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 24*k - 14*k - 12*k)*((4 + 2*k - 4)*(2 + 3 - 7) - 3*k + 0*k + k) to the form h*k**3 + z + p*k**2 + g*k and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 5*h + 488698, -5*h + 977306 = -14*n + 18*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6910 = 2*p + 1292, -5633 = -4*h + p. Let s = h - 357. Is 50 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 54. Let k = p + -35. Let u(t) = t**3 + 14*t**2 - 2*t - 18. Let i be u(k). What is the greatest common divisor of i and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2055.7 + 2056. Let f = 0 - -13. What is the closest to f in 1\/3, s, -0.3, 2\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29562263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -1\/5, -4, 2\/9, -0.02, 1\/216, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1107 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/10 and 43\/22786704.\nAnswer: 113933520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, j: 6, q: 6, s: 3, b: 2}. What is prob of picking 1 j and 2 b?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 4*o**2 + 4*o + 2. What is the units digit of i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m, -2*o + 4*m = -0*m - 30. Put -4, o, 5 in descending order.\nAnswer: o, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f\/(f*f**(8\/7)))**(-38) assuming f is positive.\nAnswer: f**(-494\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45606 divided by 15202?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -1 - (33 + -39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 664 and -2.\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -879 - -1581. Suppose n = 4*h - c, -h = -c - 167 - 7. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*c + 2 = 0, 312*t + 3*c + 3 = 317*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.31 - 25.31. Let i be -2 - ((-32)\/9 - -2). Is s less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-55)\/50 - 4\/10)*-8. Let g = -2 + -10. Let v = 18 + g. What is the highest common factor of v and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 - 492*x**2 + 21424*x - 109968.\nAnswer: -4*(x - 29)*(x - 6)*(x + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116671685 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14791 + 84058 = -11*n. Is (-4)\/(-16) + (n\/(-12) - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 3*b**3 + 8*b + 15*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3146))\/(sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(10)\/(sqrt(25)\/sqrt(5))))).\nAnswer: -33*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -75. Let f = z + 0. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/20 and 37\/125.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) -3 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3 + sqrt(80))**2 + sqrt(80) + -1 - (6*((2*sqrt(80))**2 + sqrt(80)) + sqrt(80))).\nAnswer: 48*sqrt(5) + 1832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1888 + -681. Let y = c + -16985\/14. Let m = -2310 - -78559\/34. Find the common denominator of y and m.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - -1 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8836912 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**3\/3 + t**2 - 3*t. Let v be s(-2). Solve v*x - x = 2*o - 29, -o - 13 = 3*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17409\/(-10494) - -2 - (-4)\/(-12). Let s = o + -45196\/1749. Is s < -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-81)*6\/(-10). Put -9\/2, f, 1\/5, -4\/5 in descending order.\nAnswer: f, 1\/5, -4\/5, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*(-5 + (-16530)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 586047.2kg?\nAnswer: 586047200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45196176 is divided by 11568.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 times 19855?\nAnswer: -8259680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 443 + -442. Let y(i) = i**3 - 8*i**2 + 7*i - 4. Let g be y(7). Sort 0, -1, t, g in increasing order.\nAnswer: g, -1, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54294, 108571, 162860, 217167, 271498, 325859, 380256?\nAnswer: 434695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/2898 and -53\/3474840?\nAnswer: 72971640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 1.1. Let t = 3 - 3.2. Suppose 0 = 4*k + 14 - 2. Which is the third smallest value? (a) w (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 8:46 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/25)\/((-2)\/10). Suppose -3*i = x*i. Let c = i + 24. Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 = -6. Let c(m) = -m**2 - m + 4. Let j be c(-3). Let h be j\/6 + (-4)\/6. Sort 1, w, h.\nAnswer: h, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8143749 is divided by 370168.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.765 and 0.22?\nAnswer: 10.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 334177656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/323840 and -41\/5019520.\nAnswer: 10039040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89525*d**2 + 86122*d**2 - 175626*d**2.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 15 (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*b + 8, 2*v + 5*b = -2*v + 10. Let d be v + 4 + 0 + -3. Suppose -d - 35 = -f. Calculate the highest common divisor of f and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k**2 - 9*k + 9. Suppose -g = 5*j + 19, -4*j - 12 = 10*g - 6*g. What is the remainder when 128 is divided by n(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4*w**2 + 5*w + 2. Let g be m(5). Solve -5*h + o = 6, -h + g = -2*h + o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-162))\/((-12)\/(-27)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 3*y**4\/4 - 2*y**2 - 4. What is the second derivative of s(w) wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 16*w**3\/3 + 12. Let i(y) be the first derivative of -y**2\/2 - 7. What is i(r(s))?\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680778?\nAnswer: 2, 11, 19, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 449 or 897\/2?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4741836*k**2*w**3 - 4864*k**2*w**2 - 460*k**2*w - 26*k*w**3 wrt w?\nAnswer: -28451016*k**2 - 156*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0*b + 5*s + 25, b - 55 = -s. Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64922 + 524*i + 27718 - 2*i**3 + 32630 - 3*i**4 wrt i?\nAnswer: -12*i**3 - 6*i**2 + 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 222, 220, 216, 210, 202?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**3\/3 + 3*r**2 - 3*r - 1. Let f be s(4). Suppose 5*u - 20 + f = 0. Solve 0*p = u*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*z + 154*z = 300 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 + 4*o + 8\/3*o**2.\nAnswer: 4*(o + 2)*(2*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20826, 41622, 62408, 83178, 103926?\n\"Answer: -u**3 + u**2 + 20800*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b4fa - -130?\nAnswer: -6b3ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/3408 and (63324\/2556 + -24)\/(-1 + 1 - -42).\nAnswer: 23856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*l**2 - 28*l**3 + 4*l**2 + 25*l**3 - 6*l in the form c + q*l**3 + d*l**2 + y*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - 0) + (5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**3\/3 - 3*p**2 + 20. Find the second derivative of f(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1098.3 - -1098. Let n = -4.7 + 5. What is the second smallest value in n, -3\/11, q?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 34, 68, 106, 142?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-24))\/((-4)\/6)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/4 - 22*d**3\/3 + 23*d**2 - 34*d - 37. What are the prime factors of s(-24)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**6\/360 - s**5\/120 - s**4\/6 + 4*s**3 + 7*s. Let v(a) be the second derivative of w(a). What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 156.\nAnswer: -5, -3, 5, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 7. Let y = -3 - b. What is the units digit of 4 - (y\/(-1) + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/3))**24)**(3\/23))**(4\/9) assuming j is positive.\nAnswer: j**(-64\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038000 rounded to the nearest 10000?\nAnswer: -1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 6 + (1 - 3). Let p = i + -4. Solve 4*d - 3*d - c - 3 = p, 5*c + 15 = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24767 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 18*l**4\/7 + 7348*l**3\/7 - 52031958*l**2\/7 + 27858034080*l\/7 + 6193243800\/7 = 0?\nAnswer: -2118, -2\/9, 855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 2*u - 48 - 16*u + 0*u - 41 + 189 - 53.\nAnswer: -18*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d - 419 + 359 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 + -186 + (9 - -24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28166, 28121, 28076?\nAnswer: 28031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007499 to 4 dps.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 w when three letters picked without replacement from {p: 7, w: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4653 - 4651. Factor -1\/5*f + 1\/10*f**p + 0.\nAnswer: f*(f - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(242) - (sqrt(242) + (-3 + -1 + sqrt(242))**2) - (0 + (-2*sqrt(242))**2)) + -5 - (-4 + sqrt(242)*1*5)*5).\nAnswer: -1206 - 187*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 + 214.5.\nAnswer: 214.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 18*a**2 - 22*a - 36. Suppose -76 = 30*g - 26*g. What is the remainder when 62 is divided by r(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*2*(-2735)\/(-1094). Solve i - 28 = -0*i - t*a, 4*a - 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 9 + -4 + (10 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006703327 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689210342?\nAnswer: 2, 1181, 291791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 6)*(6116\/(-1320))\/139.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y + 26. Let c be 4\/26 - 256\/y. Suppose -c*u = -8*u - 26. What is the greatest common factor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27, 46 in decreasing order.\nAnswer: 46, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-280))\/((-26)\/2470) - 10?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -60, -0.065, 1, -13, 2\/13?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 110*x - 456. Give u(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22559 millennia in decades?\nAnswer: 22.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 11*c + 10. Let v be d(10). What is the units digit of v*1\/3 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10273 > 3418?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -85, -116, -141, -160, -173?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, s: 8, x: 1, w: 2, e: 3}. What is prob of sequence ess?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -314 <= -312?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-4)\/392*7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3927688*n + 0 + 3927582*n + 0.\nAnswer: -106*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-3))\/(4\/12). What is the first derivative of -5 + l + 4 + 14*g**3 wrt g?\nAnswer: 42*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*f**2 - 2940*c**3 + 512*c**2*f**2 + 14*c**2*f wrt c?\nAnswer: -12*f**2 - 17640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l + 10 = -61*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 350 - 305 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 977 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*r*x + 142773*b**2*x - 40*b*r + 31*b - 3*r*x - 13*x wrt b?\nAnswer: -2*r*x + 285546*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2912 is divided by 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l - 5. Let r(g) = -3*g**3 + g**2 + 9*g + 11. Let w(b) = -b**3 - 119*b**2 - 343*b + 582. Let s be w(-116). What is s*r(x) + 5*v(x)?\nAnswer: -x**3 + 2*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**3*o - 27*i**3 + 136*i**2*o + 523*i**2 + 19*i*o - 3*o wrt o.\nAnswer: i**3 + 136*i**2 + 19*i - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14530 and 7510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35001978 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Factor 25*x**4 - 1210*x**3 - 744*x**2 + 442*x - 49.\nAnswer: (x - 49)*(x + 1)*(5*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 12:19 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -6\/5, -0.012, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - 4. Suppose -z - 2 = -k. Suppose z*u = -5*m + 65 - 7, 0 = -4*m + 4*u + 24. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 2)*(-1 + 2 + 0)*((-4 + 4 - 1)*(589*b - 1326*b + 1031*b) - 1 - b + 1) in the form f*b + l and give f.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(-3) - (-125)\/350.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (6 - (1 - (-15 - -7))) - 25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let y(w) = 9*w**2 - 4*w - 4. Let f(o) = -125*o**2 + 55*o + 55. Let s(h) = 4*f(h) + 55*y(h). Calculate l(s(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, -1, -7, 1 in increasing order.\nAnswer: -7, -1, 1, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 + (35\/14)\/(9\/(-27)). Factor 0 + x*w**2 - w + 1\/2*w**3.\nAnswer: w*(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 17416655?\nAnswer: -17416654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (7090 - 13364 + 7265)*(0*f + f + 2*f) as h + l*f and give l.\nAnswer: 2973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 149*j**2 - 791*j - 2201. What is t(-69)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*s - 30, 0*f + 3*s - 15 = -f. Suppose 0 = -4*n - 3*o - 15, -f = n + 3*o. Suppose -l = -5 - n. Solve 5*i = -q - 1, i + 3*q - 16 = -l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/291 in 9.9, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 9.1. Let s = j + -4. Let q = -9.04 + 3.04. Which is the third smallest value? (a) q (b) 0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446325843.\nAnswer: 13, 188178911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 663, 2128, 4913, 9444, 16147, 25448, 37773?\nAnswer: 53548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 170734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2) - -6 - 2. Let m = t + -3. Suppose -2*f + 21 = -o, 42 = 3*f + 2*f + o. Solve -m*u = -w - f, -w - 3*w = 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.74 - 23. Let w = -4.26 - m. Let l be (-4)\/5*1\/(-4). Which is the third biggest value? (a) 0 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/(-112))\/(3\/(-21)) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93 (b) -2\/5 (c) 13\/3 (d) 0.1 (e) 0.3 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-94)\/6 + 2\/(-6). Let a be ((-4)\/(-3))\/(p\/(-24)). What is the third derivative of -2*i + 3*i**a + 2*i + i**4 - 7*i**4 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + k - 8. Let a(r) = -4*r**2 - r + 8. Let l(s) = -4*a(s) - 3*n(s). What is l(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 16*j**2 - 14*j + 2. Let b be u(-14). Let f = b - -138. Let i = -1 - f. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9108.7992 to the nearest 100.\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*-5*(-3 + sqrt(2057) + sqrt(2057) + sqrt(2057) + 0)*-2)**2 + 3 + -3.\nAnswer: -79200*sqrt(17) + 7408803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748512307?\nAnswer: 179, 4181633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962 bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(120\/220)*(-13)\/((-169)\/39)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 796816 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 140?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5917 + z**2 - 3*z**2 + 11826 - 5908 - 43*z - z**2 in the form d + f*z + g*z**2 and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2806, 11103, 48848, 122345, 243510, 424259, 676508, 1012173?\n\"Answer: 1986*w**3 + 2*w**2 + w - 4795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 28. What is the greatest common factor of z and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45062 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99697034?\nAnswer: 2, 191, 260987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23432 + 4?\nAnswer: -23424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-15)\/(-30))\/((-10)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, f: 11, h: 8}. What is prob of picking 2 f and 1 q?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -216579.05 and 0.2.\nAnswer: -43315.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 20*g**2 + 19*g - 41. Let k be (-1)\/(-3) - (-23)\/3. Let u = -4 + k. Calculate the lowest common multiple of x(-21) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62460.\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9 + 16\/3. Suppose -1 - 6 = -l + 3*c, 0 = -n*c + 25. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -280, -330, -380, -430?\n\"Answer: -50*w - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 4*b**2 + 3*b + 3. Let h(w) = 2*w**3 - 3*w**2 - 2*w - 2. Let v = -263 + 265. What is v*r(n) + 3*h(n)?\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1)\/(-6 - (-6 + 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43510.92 decades in months?\nAnswer: 5221310.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55512 and 257?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -251, -512, -887, -1382, -2003, -2756?\nAnswer: -3647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60.84879 + -19.\nAnswer: 41.84879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(366\/2196).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -740 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 5 + 6)*((-2 + 2 - 2*v)*(0 + 1 + 1) - v - 2*v + 4*v)*(-4 + 1 + 1).\nAnswer: 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of 0*p**2 - 4*p - 4 - 1\/3*p**3 - 1\/6*p**4. Let c(n) be the first derivative of z(n). Find the second derivative of c(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5665 - 16967\/3. Let l(j) be the first derivative of b*j**3 + 7\/4*j**4 + 0*j + 0*j**2 + 25. What is the third derivative of l(h) wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*3\/(-28)*-4\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/2 + 13\/22. Let z = -875 - -876. Are z and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**8\/480 + 13*c**7\/420 - 59*c**6\/1200 - 17*c**5\/120 + 13*c**4\/60 + c**3\/3 + 1274*c**2. Determine p, given that u(p) = 0.\nAnswer: -10, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(160))\/sqrt(10))\/sqrt(8) - (sqrt(242) + -1 + sqrt(242) + -1 + sqrt(242)).\nAnswer: -32*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 58*l**2 + 64*l - 70. What is the smallest common multiple of t(57) and 517?\nAnswer: 3619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 24. Let c(f) = -22*f - 271. Let w(g) = -7*g - 85. Let q(h) = 6*c(h) - 19*w(h). Calculate q(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -180, -359, -538, -717, -896, -1075?\n\"Answer: -179*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33321101 - 11122?\nAnswer: 33303313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1010149, -1010134, -1010117, -1010098, -1010077?\n\"Answer: a**2 + 12*a - 1010162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*l - 1 = -0, -2*l = -3*j - 14. Sort 5, 3, j in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 10*r**3 - 8*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - y**2 - 41*y + y**3 + 21*y + 19*y to l*y**3 + k*y + f + m*y**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 979*m**2 + 151898*m - 307720.\nAnswer: (m - 2)*(m + 196)*(m + 785)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose 2*q = 3*k + 122 - 306, h = 4*q + 8. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.4 + 12.8. Let m = 3 - 4.6. Let n = m - q. Sort n, -4, -0.2 in decreasing order.\nAnswer: -0.2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 14 + 138 = 0 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 6*a - 45.\nAnswer: 3*(a - 5)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by 30.\nAnswer: -82\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 8:45 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18908.\nAnswer: 2, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 2*r + 6*l - 1, 2*r + 5*l = -31 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 0 + 0)*(-4 + 3 - 1) - r + 5 - 5 + (3 + 2 - 3)*(-r + 0 + 0) - 300*r - 313*r + 343*r as z + j*r and give j.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5896, 5717, 5538?\n\"Answer: -179*j + 6075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 32202 - 125856 = -1661*i - 1249*i for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxcxycxccxcccylcc. Give prob of sequence yyl.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 12.8077?\nAnswer: 9.8077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z - 19 = 111. Calculate the common denominator of -24\/5 and z\/8*(-180)\/(-63).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62*l**5 + 74*l?\nAnswer: -1240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000125557 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 66\/18 - (-6)\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/6)\/(62\/(-6045)). Let t = 62 + p. Let z be (1\/t)\/((-2)\/(6\/5)). Which is the second smallest value? (a) z (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1220 + 1086. Sort 5, -3, r in decreasing order.\nAnswer: 5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 - 846*g\/5 + 31696.\nAnswer: (g - 566)*(g - 280)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-6)\/9*-3). Suppose -5*p - 7 + 2 = a. Put -4, 3, p in decreasing order.\nAnswer: 3, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/5 + 1192*q**3\/5 + 466674*q**2\/5 + 57167968*q\/5 - 1112664059\/5 = 0?\nAnswer: -403, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((sqrt(1872) + (sqrt(1872) - (-3*(1 + sqrt(1872) - sqrt(1872) - sqrt(1872)) + sqrt(1872)) - sqrt(1872)) + -1 + -3 + sqrt(1872))*-2)**2).\nAnswer: 768*sqrt(13) + 119836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203771, -203833, -203921, -204035, -204175, -204341, -204533?\nAnswer: -204751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 - 5 - (-3 + 0 + 1). Solve -m = -3*m + 2*q, -3*q + 21 = v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2232084*y**4 - 1426964*y?\nAnswer: -26785008*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-5 - -10) - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/56 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c - 1. Let j be (1\/(-1))\/(7\/7). Give r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 207.4641016546 from 59.\nAnswer: -148.4641016546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - 33*a + 1496. Determine c(0).\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 7. Let o(n) = -49*n**2. Calculate o(m(q)).\nAnswer: -49*q**2 + 686*q - 2401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 14832544253.\nAnswer: 14832544226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9 (b) -2\/25 (c) -5 (d) 0 (e) -1043\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 6:28 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k - 13. Let h be l(6). Which is bigger: -8 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 112*g + 189. Give d(-11).\nAnswer: -1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let v = 2\/23 + 36\/115. What is the smallest value in r, v, 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1220*y - 263 = 1243*y + 82 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 853951653 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/16434 and 40\/19173?\nAnswer: 115038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 19*d - 89. Suppose 0 = -2*j + l + 106, 3*j + 4*l = -39 + 176. Calculate the smallest common multiple of j and v(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -t + 3*t - 28, 0 = -3*w - 2*t + 23. Suppose 0 = -w*b - 19 + 1934. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3348423g to tonnes.\nAnswer: 0.0000003348423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 4*i**2 - i + 2. Let v be u(-4). Suppose -v = -4*c + c. Let t(o) = c*o - o + 0*o + 4. Give t(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**8\/3360 - o**5\/20 - 2*o**2. Let k(c) be the third derivative of x(c). Let v(s) = -s. Calculate k(v(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 5) in base 8?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5)*y)\/y)\/y*y**(-5\/6) assuming y is positive.\nAnswer: y**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - f - 9. Let m(l) = 9*l + 3. Let p(h) = -4*h - 1. Suppose 0 = -3*j - 1 + 22. Determine f*m(c) + j*p(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/33)\/(2\/(-6)). Let l be ((-10)\/4)\/(g\/8). Suppose 0*d = d - l. Put d, -2, -4 in descending order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/20 - (-740)\/(-100))\/(10\/(-11675)) is divided by 58.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2227*x**2 - 131*x wrt x?\nAnswer: 4454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -467*a**4*o**3 + a**4 - 2*o**3 + 62 wrt a?\nAnswer: -1868*a**3*o**3 + 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 27*l + 135. Determine s(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -34*n - 177. Is m(-31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -263 and 0.18.\nAnswer: -47.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, x: 3}. Give prob of sequence lxll.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 5 + 5)*(z + 4*z - 6*z)*(-5804*z - 14437073 + 14437073) to t + x*z**2 + a*z and give x.\nAnswer: -11608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**3 + 8*l**2 - 10*l + 15. What is the tens digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-45)*124254\/(-6136)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123787048 divided by 8.\nAnswer: -15473381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/12474 and 26\/127323.\nAnswer: 25209954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**5\/120 - 3*f**4\/8 + 5*f**3\/3 + 1. Let a(t) be the third derivative of s(t). Give a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -32. Let h be 1 - (u\/(-14) + (-40)\/35). Suppose -108 = -h*l + 3*o + 32, 0 = -5*l - 5*o + 325. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713?\nAnswer: 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -47*j**5\/5 + 3*j**4\/4 + 999*j - 978. What is the first derivative of n(t) wrt t?\nAnswer: -188*t**3 + 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 114\/(-36) - (-3)\/9 and 73\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -35*l + 30*l + 28 + 52 - 11, -4*o - 3*l = -23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 - 0.14. Let c = 0.6 - -1.4. What is the smallest value in w, c, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34c + 1193?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 - 84*t - 88. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 52 = 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 4. Let g be y(-6). Let s(v) = -v**3 + 2*v**2 - v - 1. Let m be s(-2). What is the first derivative of g - 17*k + k**2 + m*k wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 405 and 1552500.\nAnswer: 4657500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3)*b**1*b)**(5\/6) assuming b is positive.\nAnswer: b**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.159 + -1.759. Let b = -4.44 - f. What is b rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37506, -150048, -337622, -600228, -937866, -1350536?\nAnswer: -1838238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -584184098*o**2 - 479345855.\nAnswer: -1168368196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5110, -5281, -5550, -5917, -6382, -6945, -7606?\nAnswer: -8365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8856 = -6*l - 3102. Suppose l = 4*h - b, h - 5*h = -5*b - 971. What are the prime factors of h?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 - -102. Suppose 0 = 2*l - z*m - 112, 9*m - 4*m - 62 = -l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*n**2 - 54*n**2 - 60*n**2 - 52*n**2 - 52*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 745 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*h**5*x - 2*h**3*x + 279*h**2*x wrt h?\nAnswer: 6660*h**2*x - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(2\/17)*i*i*i*i)\/i)\/i)\/i)\/((i\/(i**(-2\/3)*i))\/i)*i**(-1\/3)\/i**(-5) assuming i is positive.\nAnswer: i**(121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 156, 230, 302, 372, 440?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -182.2 - -5\nAnswer: -177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2931*s - 17524. Determine v(-6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13803, 23250, 38997, 61044, 89391, 124038?\nAnswer: 164985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 + 3*u - 16*u**2 + u**2 - 2*u. Let c(s) = -s**3 - 3*s**2 - 4*s. Give -c(l) - 3*x(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by -93.\nAnswer: 218\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 110 = -6*k + 5*t, 4*k + t - 73 = 0. Suppose p - 861 = -h, -3*p + 2 = -1. Suppose h - 5 = 5*q. Calculate the highest common divisor of q and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9*n**2. Let y = 1522 + -1011. Let u(g) = -y*g + 506*g + 2 - 2. Calculate j(u(k)).\nAnswer: -225*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1. Let c(l) = -5*l + 4. Let d(p) = c(p) - 2*o(p). Suppose 11*q - 44 = -0. Suppose -5*g = -4*k + 8, q*k - 4*g + 7*g = 8. What is d(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 29 + 12*h - 11 + h + 0 + 0 - h + 3*h - 4*h + (-6*h + 2*h + 3*h)*(2 + 2 - 3) - 10 + 10 - 17*h to the form f*h + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 16) + 83440\/5364.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558660, -558659, -558658, -558657?\nAnswer: -558656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*m = -1, 2*m = 5*m - 9. Which is greater: -8 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4.48. Let o = -0.02 - y. What is the smallest value in 0.4, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -5\/3, 2\/17, -1, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = i - 4*y, y = -3*i - 0*y + 14. Let a(h) = 3*h**2 + h + 2. Give a(i).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3149491?\nAnswer: 61, 51631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/12 - 247\/(-52). Suppose 0 = 3*c - t - 148, o*t - 159 = -5*c + 101. What is the greatest common factor of 50 and c?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i*k**3*x + 2*i*k**3 + 30*i*k**2*x + 3*k**3*x + 3*k**3 + k + 40*x wrt k?\nAnswer: -54*i*x + 12*i + 18*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4981 is divided by 416.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-1\/6)*s*s))**(-15\/8)\/(s*s**3)**(-9\/2) assuming s is positive.\nAnswer: s**(353\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-1*sqrt(192)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48021 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2. Let t(j) = -1. Let f(v) = -6*s(v) - 10*t(v). Let z(g) = -g**3 + 7. Give -7*f(b) - 2*z(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 10:14 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 41. Let d be (40\/(-6))\/(14\/42) - 2. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 34*a**3 + 5*a**2 - 3. Calculate w(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2 (c) -0.1 (d) -1 (e) -38 (f) -73188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -149, -1\/4, -0.3, -0.025 in ascending order.\nAnswer: -149, -0.3, -1\/4, -0.025, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -19*l + 28*l. Do l and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -3133302?\nAnswer: -3133232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 128*t - 147*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r - 4*r - 7*r - r - 23. Let x(n) = -21*n - 47. Let y(s) = 5*j(s) - 2*x(s). Let b be y(-5). Solve 5*c + 2*q = b, 0*c + 12 = 2*c + 3*q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 3. Let c = 107 - 106. Put 2, c, i in descending order.\nAnswer: i, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121 or 1697\/14?\nAnswer: 1697\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -4*b**5\/5 - 5*b**4 + 68*b**3\/3 + 258*b**2 + 720*b + 374. Determine n so that t(n) = 0.\nAnswer: -4, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 = 4*k, k + 2 = -2. Let r be ((-8)\/(-20))\/(1\/5). Find the second derivative of 2 - 4*x**r + 12*x**2 + g*x - 2 wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46379412.\nAnswer: 2, 3, 47, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 + ((1 - 0) + -40 - -19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -339390*p**3 + 58*p**2 + 2190*p wrt p.\nAnswer: -2036340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 293.0679m to nanometers.\nAnswer: 293067900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:40 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4 + q**5 + 4) + 86*q**5 - 35*q**5 - 44*q**5.\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 837 = 19*r - 94. Solve -r*y = -177 + 79 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2476, 18019, 60100, 141991, 276964?\nAnswer: 478291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (28185\/(-131530))\/(1*1\/4)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29095 to two dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 60618376.\nAnswer: -5\/60618376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + -8) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 539148756091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4360 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/297)\/(((-785)\/2826)\/((-15)\/2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -14458*t + 43312. Calculate g(3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 42*b**5 + 900985*b**4\/2 + 455771*b**3 - 445130*b**2 - 455813*b - 10725\/2 = 0. What is b?\nAnswer: -10725, -1, -1\/84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -197*h + 179*h - 90. What is the second smallest value in 3\/2, h, -1, 4, -18?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/15 + (-418)\/(-30) + 23\/(-69). Solve l*q + 10*q + 96 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37277\/2*y**3 - 2381045\/2*y**2 - 515217625\/4 - 461\/4*y**4 + 1\/4*y**5 + 89923925\/4*y.\nAnswer: (y - 145)**3*(y - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.016353893865 and 3?\nAnswer: 3.016353893865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 7\/5*q**5 - q**4 - 60*q + 0*q**2 + 0*q**3 - 46. Find the first derivative of z(p) wrt p.\nAnswer: 28*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 8*h**2 - 8*h + 2. Let p be g(7). Let s = p - -9. What is the second derivative of 2*j + j**s + j**4 + 0*j wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13592107\/80171 + 2204\/13. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 - (1 - 50). Suppose 5*m + 9 + 6 = 0. Let q = r - m. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z + 3. What is the smallest common multiple of 24 and b(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -270756 divided by -4?\nAnswer: 67689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4\/7 + 776*b**3\/7 - 12052*b**2\/7 - 2481648*b\/7 - 40908816\/7 = 0.\nAnswer: -26, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 - v**3 + 8*v**3 - 7*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 21*w = 5*s - 16417, 2*s - 2*w = 6554. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 7*m - 15 = -11*m, 0 = -3*h - 5*m + 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - 75*r + 320. Suppose 2892 = 5*p - 878. What is the remainder when p is divided by x(4)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -20*u. Let t = 292 + -289. Let k(h) = -3 - t + h**2 + 6. Give a(k(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1288297, 2576606, 3864931, 5153272, 6441629, 7730002?\nAnswer: 9018391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 883683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360325659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(4020\/5427*21\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3565426046 + 1?\nAnswer: -3565426045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -10111011001100?\nAnswer: 10111011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqrqtrttqttr. What is prob of picking 1 r and 1 q?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110110 (base 2) to base 14\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0626 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 25. Is (2 + 1)*5968\/c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lel when three letters picked without replacement from {e: 1, l: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 100 = -860. Let s be ((-2)\/(-3))\/((-32)\/p). Solve s = k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14521 + -3?\nAnswer: 14517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 22*d - 37. Let h be a(-20). Calculate the highest common factor of 30 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 8695*u + 146081. Give y(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 19*c = 0, 2*q = -4*c. Suppose -2*g - 5 = 19. Put q, g, 3 in ascending order.\nAnswer: g, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, i: 1, k: 1, f: 1}. What is prob of picking 1 k and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - n**2 - 4. Let w(u) be the first derivative of -u**3\/3 - 3*u**2 + 4*u - 2. Let m be w(-7). Calculate the remainder when x(m) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -67 - 98. What is the least common multiple of 22 and (-2)\/11 + (-72)\/n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53616, 104805, 153564, 199893, 243792?\n\"Answer: -1215*k**2 + 54834*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*d**3 - 1276*d + 1276*d)*(-3 + 1 + 0)*(3 + 2 - 4) to b + z*d**2 + o*d + l*d**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 689053499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - b - 3. Let d be f(3). Let h(r) be the second derivative of 2\/15*r**3 - d*r + 1\/30*r**4 + 1\/5*r**2 + 0. Factor h(g).\nAnswer: 2*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 36. Calculate z(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4528293 to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/97 + -203\/873. Which is the closest to -1? (a) -0.3 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12157 greater than -5846855\/481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -72697 in -41, -0.3, -0.1?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {b: 1, m: 1, d: 5, z: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 206510574*k**4 + 20*k - 1472195.\nAnswer: 2478126888*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1572038, -1572022, -1572006, -1571990?\n\"Answer: 16*x - 1572054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s + 1 = 0. Suppose m + l + 1 = -s, m - l + 10 = 0. Does 3 divide (9\/m)\/(2\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-795)*(-42188)\/(-398).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**4 - 6*d**3 - 27*d**2 + 54*d = 0.\nAnswer: -3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19065 by 31.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 7020?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/114 and 49\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 9. Let j be b(-4). Let z = j - -9. Let l be (106 - -2)\/2 + z. What is the highest common factor of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 25*z**3 - 21*z**2 + 18*z - 1. Let j(y) = -6*y**3 + 5*y**2 - 4*y. What is 9*j(r) + 2*u(r)?\nAnswer: -4*r**3 + 3*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/72 and -43\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11602.601 + 11602.98300184. Let r = w + -0.382. What is r rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 3. Solve 3*a = 2*k + 10, n*a - 5 = 2*k + k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -458 + 457.9. Which is the smallest value? (a) 2\/9 (b) -1\/63 (c) 1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 292*d**2 + 9307*d + 96. Give k(-32).\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 292\/1071 + 2\/153. Let j = 0.252 - 0.052. What is the closest to j in -1\/4, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 0, -5, -2, -1181\/59?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 = u + 7, -z = 5*u + 11. What is the nearest to -0.1 in 0.4, 1\/4, u?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**6 - 1313*w**5 + w**3 - 25587*w**2.\nAnswer: 360*w**3 - 78780*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*d - 132, 4*r + 3*d - 256 = -97. Let a = -4 + 4. Suppose a*v - 2*v = -r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2208*x**3 + 4*x**2 - 2*x + 2. Let f(z) = 13393729*z**3 + 24266*z**2 - 12133*z + 12133. What is -2*f(c) + 12133*o(c)?\nAnswer: 2206*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 3*l**3 + l**4 + l**4 - 2*l**4 + 2*l**4 + (-5*l**2 + l**2 + 2*l**2)*(2*l**2 - 2 + 2) + l**4 + 0 + 0.\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 4. Let v = -6 + 0. Let m be n(v). Suppose 0 = w + m*w - 72. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67533439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:29 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10011000111?\nAnswer: 10011001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 11\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 15 - 7 - 6*h**2 + 4*h**3 + 23 + 2*h**3 - 4*h**3 to the form c*h**2 + y*h**3 + a + q*h and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -167*a + 10197. Let j be s(61). What is the highest common factor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 1 + 1. Let z(p) = 7*p**2. Let d(f) = -5*t(f) + 2*z(f). Let w(q) = -184*q**2 - 1 - q + 185*q**2 + 0. Determine d(c) - w(c).\nAnswer: -2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4956)\/(-4130) + 2*(-124)\/190?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938 at least as big as 6928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -39?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p - 175. Let c = p + -21. Suppose 5*q - 10 = 0, c = w + 3*q + 4. Solve 16 = 2*s - 2*r, -3*r - w = -2*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e7 - -7?\nAnswer: -e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 106*j - 528. Determine b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/242 and -59\/220?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 9 = 0. Suppose 5*r - 9 = 2*y + 6, f*y + 15 = 5*r. Suppose -t - 3 = -5*p, 4*t - 9 = -p - y*p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 14*q**2 - 5. Let s be m(-13). Let v = 7935 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -628*m + 418*m + 2520 = 0. Let w(r) = 2*r**2 - 18*r + 9. What is w(m)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -58*m**3 + m**2 - 4*m - 4. Let o be b(-1). What is the third derivative of -2 - 21*u**6 - 2*u**5 + 0*u**5 + u**4 - o*u**2 - 5*u**4 + 2*u**5 wrt u?\nAnswer: -2520*u**3 - 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3) + -4*(1*sqrt(3) + sqrt(3) + sqrt(3)))*-2 + sqrt(192)*-1)**2.\nAnswer: 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4742 + -640?\nAnswer: 4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400833 is divided by 902?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*c**3 + 5*c**3 + 3*c**2 - 10*c**3 in the form j + w*c + q*c**2 + p*c**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 398000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-2) + 259111\/(-11026)?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 7*p + 2*p + 138 - 8*p.\nAnswer: -13*p + 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30316991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-5) + (-1082)\/120 and 12989\/(-620) + -1*(-18)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -87 (b) -1\/3 (c) 0.3 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of 7*r**6\/15 + r**4\/12 - r**3\/6 + r**2. Let w be g(1). What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1399, 17483, 44289, 81817, 130067?\n\"Answer: 5361*m**2 + m - 3963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68.6 - -90.96. Let f = 48 + -26. Let g = v - f. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 2340*z\/7 - 4688\/7.\nAnswer: 2*(z - 2)*(z + 1172)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2432568 divided by 4?\nAnswer: -608142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 127?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 25*c**4\/12 + 4*c**3\/3 + 5*c**2\/2 - 7*c. Is v(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20721983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20425 divided by 19\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (3 - 5)) + 24 + -13 - 28.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p = 3513686 - 3511985 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -171.34?\nAnswer: 34.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 41694\/1 + 0 - (-12 - -15). Suppose -5*c + w = 10111. Suppose -25*a - c = -29*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -173, -2 in increasing order.\nAnswer: -173, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114929746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2922*c**2*d**2 + 203*c**2*d*g - c**2*g**2 + 3*c*d*g**3 - 3*d**2*g**3 - 14*d*g**2 + 2*d*g - g wrt d?\nAnswer: 5844*c**2 - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 14, -3, -18, -31?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402 = -2*d - 390 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -774, -826, -878?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13*3\/6 - ((-273)\/(-26) + 10 + -19)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14571*p**2 + 29150*p**2 - 14577*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*g - 19 + 25*g + 25*g - 112*g + 21 + 29*g.\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 4.4323?\nAnswer: 4.4323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143204140 (base 7) to base 4.\nAnswer: 210002121013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(1 - -2)\/9. Suppose -4*h - 5*d = -0*h - 44, w = h + 5*d - 11. Let y be 3 + 2 + h + -2. Solve 7*x - 2*x = -z - 8, 2*x + y = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 1 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, f: 3, l: 8, c: 2}. Give prob of sequence fl.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(10\/(-90)*6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487, 495, 509, 529, 555, 587, 625?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.1 + -56. Which is the biggest value? (a) -0.5 (b) -2 (c) -8 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1\/3 + 113\/3. Calculate the greatest common divisor of 57 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 7:31 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 2186 and 338 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + x)*(-53 - 52 + 212).\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 9*w + 3. Let r(x) = 16*x**2 - 39*x + 13. Let j(o) = 6*r(o) - 26*t(o). Let n(m) = -3*m**2. Calculate n(j(k)).\nAnswer: -192*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-26)\/((-520)\/60))\/(2\/(-50))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135936091.\nAnswer: 97, 1401403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 689, 5531, 18671, 44255, 86429?\n\"Answer: 691*i**3 + 3*i**2 - 4*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -12. Suppose -32 = -w - z. Suppose 0 = 5*b - 4*r - 54, 0*r + 15 = 2*b + 5*r. Calculate the highest common factor of b and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 - 4*c - 40. Let b(i) = -19*i**3 - 17*i - 161. Give -4*b(d) + 17*v(d).\nAnswer: -9*d**3 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -14*t + 16*t. Let j(q) = -7*q - 7. Let u be j(t). Suppose -u*y = -88 - 59. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.13523 meters?\nAnswer: 3135230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(242) - (4 + (sqrt(242) - (sqrt(242) - 2*sqrt(242))))) + sqrt(242) + (sqrt(242) - (-3 + sqrt(242)*2)) + sqrt(242)*-2*4 + 3)**2.\nAnswer: 198*sqrt(2) + 19603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -920*f**5 - 378172*f**4 - 21204*f**3 + 69048*f**2 = 0.\nAnswer: -411, -21\/46, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1273 - -1829. Let s = g + -26557\/48. Calculate the common denominator of 11\/56 and s.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-7) - (-138)\/14. List the prime factors of k + 2 + -1 + 1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 2*u**2 - u + 6. Let j(k) = -9*k**3 - 20*k**2 - 9*k + 62. What is -21*h(z) + 2*j(z)?\nAnswer: 3*z**3 + 2*z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -3*a - 16 - 1, 5*a + t + 17 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11810 and 18?\nAnswer: 106290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a65 (base 15) to base 5\nAnswer: -33340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15145523 (base 6) to base 8\nAnswer: -2006133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54090 and 1290.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 10*y + 94. Let n(q) = -q - 10. What is 10*n(v) + u(v)?\nAnswer: 5*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-264)\/(-10))\/((-45)\/(-300)). What is the highest common divisor of 64 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 + q - 4. Let g(n) = -1. Suppose a = -2*j - 8 - 5, 5*j + 25 = 0. Give a*g(f) + l(f).\nAnswer: 4*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 12.9. What is the nearest to 0.3 in -8, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2716 - 2716. Sort -5, 64, i in ascending order.\nAnswer: -5, i, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83 + -15?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-69)\/(-12))\/((-1)\/(-68)). Let s(q) = -7*q + 591. Let j be s(82). Calculate the greatest common divisor of l and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(-2*r**2 + 0*r**2 + 4*r**2) - 2*r**3 + 3*r**2 + 0*r**3 - r**2.\nAnswer: 2*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 34\/9 - 226\/(-1017). Suppose 3*x - 15 = -2*x - 3*w, 3*x = -2*w + 9. Suppose 5*q + 6 = x*q, -h*t + 455 = -5*q. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169300157?\nAnswer: 13, 47, 277087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7350 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -427 + 425. Which is the closest to 0.1? (a) o (b) 3 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*j + 0*j - 86 = 0, -5*u = -4*j - 106. Let s = 22 - u. Suppose s*i - 2*i + 124 = 0. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.243 from -151802.\nAnswer: -151801.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7522 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: Express (-2 + 2 + 2*w**2)*(-1003*w + 1742*w + 1 - 857*w) in the form g*w + k*w**3 + q*w**2 + x and give k.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40174117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 831937538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**6\/120 - 17*n**4\/24 - 17*n**3\/6 - 143*n**2. What is the hundreds digit of v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5056 + 2890. Let s be (-1225)\/1173*o\/52. Let z = 2\/5083 - s. Find the common denominator of z and -39\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 2. Let c = 3 - 14. Let v(d) = -17*d - 11. Let q(w) = c*b(w) - 2*v(w). Let h(m) = -60*m + 1. What is q(h(n))?\nAnswer: -60*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114234.31 + 114729. Let q = v + -487. Round q to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2280.192 + -0.23?\nAnswer: -2280.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 10 = 2*o, -4*s + o + 8 = 3. Suppose s*b + b = -a + 4, -4*b = 5*a - 20. Suppose 0 = -u - b + 1. Sort 4, u, 5 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/2)\/(-18))\/(3\/54)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2275577834 + 413.\nAnswer: 2275578247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/360 - b**5\/15 + b**4\/12 + 7*b**3\/6 - 31*b**2. Let u(d) be the first derivative of p(d). Calculate u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-5 - (2 + 2 + -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -1249, -2800, -4971, -7762, -11173, -15204?\nAnswer: -19855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.1 (b) -100510 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -256 - -245 - (5 - (3 - 23))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18109 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -3*(0 + sqrt(3))) - (((sqrt(60)\/sqrt(4) - sqrt(15))*3)\/sqrt(5) + -2))**2.\nAnswer: 660*sqrt(3) + 1159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i - 18*i - 13*i**3.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49, 194, 435, 772, 1205, 1734, 2359?\n\"Answer: 48*y**2 + y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-360)\/84*2688\/480.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2510 - 1110 = 0. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 16\/3 (b) -4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by 140?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 0*i**5 + 0 + 0*i + 5\/24*i**4 - 1\/60*i**6 + 0*i**3 - 5*i**2. Find the second derivative of s(j) wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5*o + 34327 - 34372, -2*d = 2*o - 0*o + 18 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c + 9774 - 38525. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 744 and 192.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 9*d - 13810. Suppose -4*y + 6864 = -2*k - d, -k = -1. Suppose 3*h - g + 698 = 2131, -y = -5*h - 3*g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060 (base 7) in base 6?\nAnswer: -1441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {u: 1, v: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 5*p + 0 - 4 + 0*p - 9*p**3.\nAnswer: -9*p**3 - 11*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/364 and -95\/16.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**2 - 12101 + 12101.\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 48 = -4*x. Let m be 9 + (0 - 3) + -2. Suppose -m*l = -88 + x. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-115 + 113).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let h = -145 - -67. Let a = -550\/7 - h. Is a at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 5*d**2 + d**2)*(-1 + 3 + 1) + 5*d**2 - 2*d**2 - 5*d**2 - 2 + d**2 + 2.\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 7, l: 2, z: 1, p: 2, s: 1}. What is prob of sequence pz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2\/3, -0.5, 34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21855323?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - ((8 - 4) + 2 - (-7 - -5 - -4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 97) + (138 - 40).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**2 + 11*f - 8. Let x(u) = -5*u**2 - 5*u + 4. Let k(n) = -6*l(n) - 13*x(n). Calculate k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0 + 0)*(-3 - 1 + 5) - 26*v - 14*v - 2*v.\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(9\/(3\/(-1)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -55*d + 2693. What is o(49)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58299.7223 rounded to the nearest 10?\nAnswer: 58300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 34*v - 88950 = -7*v. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 564732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*k - 10, 2*p - 10 = 3*k - 3*p. Let h be (-3 + k - -8)*1. Find the third derivative of -15*c**2 + 7*c**2 + 13*c**h - 2*c**5 wrt c.\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(256)\/(sqrt(24)\/sqrt(3) + sqrt(8))*1 + 3 + -2))**2.\nAnswer: 64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + 266. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/180501645 and 52\/33.\nAnswer: 1985518095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -170 + 381. Suppose -207*r = -u*r + 196. What is the remainder when 82 is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 369499, 739018, 1108537, 1478056, 1847575, 2217094?\n\"Answer: 369519*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -86068.038 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11142032 + -2?\nAnswer: 11142030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 + 30*r - 11. Let m be f(7). Suppose -5*w + m*s + 128 = 0, -3*w + s + 0 = -76. Solve 2*y - 7*y = w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7 + 0 + 10)*(-1 - 2 + 5) + 1 + 1 - 1)*(10*y - 11*y + 30*y).\nAnswer: 1015*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10622, -14491, -18360, -22229, -26098?\nAnswer: -29967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -557 - -606. What is the greatest common divisor of 1225 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybiiyiibyy. Give prob of picking 2 y and 2 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 381 and -409.\nAnswer: -155829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 856750540837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70827 + 5?\nAnswer: 70832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.3 - -44.7. Let q = -56.02 + f. What is the nearest to 2 in 4, -0.1, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*j**2 + j + 66*j**2 + 5*j**3 + 2*j**4 - 4*j**3 as q*j + o*j**2 + w*j**4 + u + z*j**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -14\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440297790614459 - t - 440297790614459.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 285 + 0*h + 25\/3*h**3 + 0*h**4 - 2\/5*h**5 - 247\/2*h**2. What is the second derivative of t(l) wrt l?\nAnswer: -24*l**2 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 197 + 108 = -y - 202, 2*l - 4*y + 73 = 21 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*u**5 + 151*u + 1.\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 162. Let f = 29 - g. Let -90*i**4 - f*i**3 - 9*i - 60*i**2 + 8*i - 27*i**5 - 11*i = 0. What is i?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-12)\/(-4) + 2. Suppose -g + 6*m - 3*m = -7, -22 = -t*g + 2*m. What is the remainder when 9 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (174*s**2 + 66*s**2 + 59*s**2)*(0*s - s - s) to p + z*s + g*s**3 + b*s**2 and give g.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 6, k: 5, u: 2, d: 1}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03492826 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**2 - 788*x + 312.\nAnswer: 4*(x - 39)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 368326*g**4 - 153109*g**2.\nAnswer: 8839824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2405*q. Let g(u) = 9*u**2. Calculate i(g(v)).\nAnswer: 21645*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233403\/8 - -29444. Let s = p + -269. Let t = 354 - 352. What is the closest to -2\/7 in s, t, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3)*(28\/8)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -69.856. Let c = r - -0.086. Let k = c - 0.25. Is k < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**5\/30 + 3*f**2\/2 - 4. Let d(r) be the second derivative of b(r). Let x(k) = -k**2. Determine d(x(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j**3 - 49*j**2 + 49. Let t(k) = -k**2 + 1. Determine -2*c(n) + 98*t(n).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90531, -90540, -90555, -90576, -90603, -90636?\nAnswer: -90675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001 - 2686 + 1391*n + 853 + 832.\nAnswer: 1391*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*s + 23 = 0, -3*i - 4*s = -5*s - 9. Suppose 5*x + 10 = -k, -i*x + 6*x + 48 = 4*k. Let t = 10 + -4. Solve g + 5*z = k, 0*g - 3*z + t = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and -86\/231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 1)*(-21)\/(-1). Let g = 14 + r. Let v(l) = -214285*l**2 + 6*l + 7. Let b be v(g). Round b to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 7. Suppose -72 = -4*m - 5*b, 2*m + b - 2*b = 22. Let y = m - r. What is the remainder when 33 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11347 - 11439 = -23*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -2*l - 23 + 5, -4*l = 4*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 - 387*x**2 - 2*x - 459 wrt x?\nAnswer: -12*x**2 - 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 2*s**3\/3 + 15*s**2\/2 - 52. Let x(p) = 2*p. Determine x(h(o)).\nAnswer: 4*o**2 + 30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {v: 2, w: 12, k: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -17*x**5\/4 + 7399*x**4\/4 - 22851*x**3\/2 + 24499*x**2 - 19742*x + 3432 = 0.\nAnswer: 4\/17, 2, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 145 = -4*j, 4*j - 725 = -29*q + 24*q. What is the remainder when 724 is divided by q?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -100 - -22?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9723 (b) 9 (c) -5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 12751 - 46685. What are the prime factors of f?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 7, f: 1, j: 1, s: 2}. What is prob of sequence jif?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -3898)*7\/(-84)*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) 0.4 (c) -299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*j + 73*j - 66*j to z*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/956624 and 79\/72?\nAnswer: 8609616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.5 - 58. Let j = k - 41.6. What is j rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264684 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21028932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -0.4, -11064682?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551205415 (base 6) to base 12.\nAnswer: -337686b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-4) - 2\/8. Let s = 1351 - 1336. Suppose x*n - 2*m + 4 = 24, 0 = 3*m - s. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7013232?\nAnswer: 2, 3, 113, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + h - 18 = 2*h, h - 2 = 0. Suppose 60 = -w*a + 7*a. Solve 5*f = -0*j + j + a, 3*j = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -15215767.\nAnswer: 1521576.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**4 - 16*m + 2 - 5*m + 0*m + 6*m in the form v*m**2 + j*m + p*m**3 + x*m**4 + d and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -5\nAnswer: 111\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.273?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 904\/107?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*c)*(-2 + 3 - 3) + 1 - 1 - 2*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86 + -19 + 24 + 13 + -3 + -11?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = 34*o - 7. What is the remainder when 46 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/4 - 15*q**3\/2 + 6*q**2 + 120*q - 288 = 0.\nAnswer: -4, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699265807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 193672 + -123831. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 2787.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 344*u - 1965*u - 1124*u - 56*u as q + n*u and give n.\nAnswer: -2801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**2 + 50*f - 599. What is y(11)?\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60563)\/36210 - (-1)\/3*5. Is s > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -308.568592 from -237.149.\nAnswer: 71.419592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 661 - 658. Suppose 0*w - 6 = -3*w. Suppose 3*a - 2*f - w = j, -2*a = 2*f. Is -1\/18 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11967*a**4 + 19*a**2 + 825721 with respect to a.\nAnswer: -47868*a**3 + 38*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 - -1 - 1. Let h(n) be the first derivative of -n**2\/2 - 8*n - 4. Let v be h(-10). Solve c - u*w = 3*c + 2, -w - 6 = -v*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41 (b) 4 (c) -5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f. Let w(k) = -k. Let u(c) = q(c) + 4*w(c). Let n(r) = -r**2 - 4*r**2 + r**2. Calculate n(u(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 536, 1497, 3182, 5789?\nAnswer: 9516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1727*p - 93318. Calculate r(-54).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-4)\/(-42))\/((-200)\/12300)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 80*y - 313. Give n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-four fifths of a tonne?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x**2 + 0*x - 1\/2*x**3 - 1\/2*x**4 + 0.\nAnswer: -x**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7 + 9*d**2 + 3*d**2 + 10*d - 13*d**2. Let h be y(9). Suppose -2*n + 178 = 5*r, 80 = h*r - 0*r + 3*n. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3677, 3639, 3597, 3545, 3477?\n\"Answer: -v**3 + 4*v**2 - 43*v + 3717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87 - -1 - (1 + 0)) + (-3 - -3)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 963 a factor of 884772280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/18*3 + 2)*-38. What is the third derivative of 148*n**4 - 19*n**2 - 17*n**2 + 15*n**4 - r*n**2 + 13*n**2 wrt n?\nAnswer: 3912*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 6)*(-80)\/160. Find q such that -3\/4 - 2*q + 7*q**3 + x*q**4 + 11\/4*q**2 = 0.\nAnswer: -3\/2, -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -336 - -94. Let v = 240 + s. Let b(w) be the first derivative of w**2\/2 + 2*w + 1. What is b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1123 at most as big as -992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10588, -42386, -95386, -169594, -265016, -381658, -519526?\nAnswer: -678626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 10) to base 3.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -3, -2\/71, -0.2?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1038 = 2*t, 3*s = -t - 323 + 1864. Let c = s - 305. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o - 14 = -36*o. Let k(z) be the first derivative of 5*z**2\/2 - 7*z + 27. Calculate k(o).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 + -286. Let c = 21 + -17. Suppose -5*f - o + 26 = 0, -c*f - f - 3*o = -18. Calculate the greatest common factor of p and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 573, 1, 30, 3.\nAnswer: -14, -3, 1, 3, 30, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k + 7. Determine i(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 84 - 66. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11289174 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -113, -131, -165, -221, -305, -423?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 314099, 314106, 314125, 314162, 314223?\n\"Answer: l**3 + 314098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 9399.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 48 - 214*t**3 + 205*t**3.\nAnswer: -9*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.775 - -21. Let a = 0.2 - 0.5. Let v = a + r. What is v rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4509, -17503, -38983, -68949, -107401, -154339, -209763?\n\"Answer: -4243*o**2 - 265*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a factor of 4457642030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1955522, -3911069, -5866616, -7822163?\nAnswer: -9777710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -23*a**2 - 63*a**3 + a - 13 + 41 - 29*a - 7*a**2 + 2*a**2. Let y(u) = -7*u**3 - 3*u**2 - 3*u + 3. Calculate 3*p(i) - 28*y(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84480 and 16236.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d + 75. What is the lowest common multiple of l(6) and (4\/(-6))\/(8\/(-252))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (9 - 10) + (-1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -790 or -74?\nAnswer: -790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 + 1431*s - 1437*s - 119*s**2 - 29 to d + q*s**2 + u*s and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 10.12. Let c = n + -0.14. Let s = 36.1 + -36. Put s, c, -1\/4 in decreasing order.\nAnswer: s, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6005142 and 37\/40034280.\nAnswer: 120102840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 14*q**2 - 2*q + 13. Let r be g(14). Does 37 divide -962*(-4 + r\/(-6) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 278 = -11*p - 20. What is the remainder when 570 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2. Let n(z) = -14*z**2 + 22*z**2 - 7*z**2. Give n(j(v)).\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + (14 - 15))\/(1\/3). Factor -3\/2*u**2 - r + 15\/2*u.\nAnswer: -3*(u - 4)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -396.663096 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 247647789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let l(v) = -6*v + 21. Give 2*l(z) - 6*s(z).\nAnswer: -6*z + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let i be 34\/12 + 3\/18. Which is the nearest to z? (a) i (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 6*y - 1. Let t(b) = -8*b**3 - 13*b - 3. Let g(h) = -6*t(h) + 13*v(h). Let q(z) = -2*z**3 + 2. Calculate -2*g(i) + 5*q(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 43*y - 297. Let f be d(7). Solve -169*h + 172*h - u = -2, -1 = f*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3516779178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) -1 (c) -0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, f: 3, t: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(4\/(-22)))\/(3\/6). Let s(h) = -q*h**2 - 17*h**2 + 27*h**2. Let l(j) = -7*j**2 + 16*j**2 + 4*j**2. Give s(l(w)).\nAnswer: -169*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1628 + 2355. Let x = n + -354. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52320 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0233 + 3108.0364?\nAnswer: 3108.0131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 1, c: 2, n: 1, x: 1, a: 1}. Give prob of picking 1 j, 1 w, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*l**2 - 40204*l**3 + 80867*l**3 + 5*l**2 - 40410*l**3.\nAnswer: 253*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 513 - 473 = 4*w, -3*a + 4*w - 40 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7)\/u**(12\/5)*(u\/(u*u**(2\/5)))**(1\/6) assuming u is positive.\nAnswer: u**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 3*h - 172. Calculate the remainder when h is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/74 in -4\/19, -61, -3\/5?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 7*t + 370. Let j be a(-23). Factor 0*b + 5\/3*b**4 + 0 + 5\/3*b**j - 10\/3*b**3.\nAnswer: 5*b**2*(b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 1. Let w(q) = 2*q**2 + 13*q - 2. Let k(u) = 3*b(u) + w(u). What is the tens digit of k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 - 5*o**2\/2 - 3*o + 16. Let v be a(6). Suppose -v*n = -6*n + 477. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -789, -2, -3, 2?\nAnswer: -789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 51*n = -165, -20 + 8 = -3*n - n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 - 30*r**2 + 77\/120*r**5 - 481\/16*r**4 - 1\/240*r**6 + 0*r - 507\/4*r**3. Determine b so that k(b) = 0.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 3, 6324, -1.1?\nAnswer: 6324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91*g**5 - 6062*g**3*p**3 - 3580484*g**2*p**3 + 2*g*p**3 wrt g?\nAnswer: -5460*g**2 - 36372*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 32079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27129377, 27129378, 27129379?\n\"Answer: t + 27129376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let s(a) = a**2 - 139705*a - 4. Give s(f(x)).\nAnswer: x**2 - 139705*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, s: 3, n: 5, k: 1}. What is prob of sequence snn?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1053 + 9466\/9. Calculate the common denominator of -12\/7 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:45 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a century?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/25)*p)\/p**(1\/4)*(((p*(p**(-7)\/p)\/p*p)\/p*p*p)\/p*p)**(3\/11))**(3\/5) assuming p is positive.\nAnswer: p**(-3189\/5500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3)*(-18 + (-9)\/3). Let i(u) be the third derivative of -u**5\/60 - u**4\/3 - 5*u**3\/6 - u**2. Give i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = -0*p. Let b(k) = -k**2 - 9*k - 2. List the prime factors of b(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4.5. Let w(z) = -z**3 + 16*z**2 - 18*z + 22. Let o be w(15). Let n = 20 + o. What is the nearest to 1 in t, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2869, -2877, -2885?\n\"Answer: -8*j - 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 293575*a**3 + 42*a**2 - 2*a + 287.\nAnswer: 1761450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 14. Let x be n(4). Which is the closest to x? (a) -5\/6 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53564 - 53564 + 8*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -350*x**5 + 5759605*x**4 - 34631480*x**3 + 69586360*x**2 - 47047040*x + 658000 = 0.\nAnswer: 1\/70, 2, 16450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.117825 and -8?\nAnswer: 8.9426","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 8113, -1\/2 in descending order.\nAnswer: 8113, 10, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181219527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**5\/10 - 19*j**4\/6 - 83*j**3\/3 - 65*j**2 - 1352*j. Factor t(k).\nAnswer: -2*(k + 1)*(k + 5)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*q = 17, 5*q + 1 = 4*l - 16. Let c(j) = -12*j**2 + 13*j**2 - 1 - 1 - l - 5*j. Is c(-7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 5*g = 2*s + 19, 3*s + 6*g + 61 = 22*g - 21*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:30 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 1. Let v = -58 + 57. Let u(o) = -4*o**2 - 76*o - 244. Let q(z) = v*u(z) + 12*r(z). Solve q(g) = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.1 + -2.44. Let o = f - 0.16. Put 4, 2\/5, o, -1\/5 in ascending order.\nAnswer: o, -1\/5, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = w - 0, 5*w - 7 = 2*q. Let x = 10 - w. What is the least common multiple of 2 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -66415619.\nAnswer: 66415619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17. Suppose g = 2*x + 6 + 8. Put 4, -4, x in increasing order.\nAnswer: x, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 4 = 0. Let p = 5 - m. What is the third derivative of 5*d**2 + 2*d**2 + 0*d**2 + d**p + 3*d**4 wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 = -520*u + 439*u + 186 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/12)\/((23\/(-1932))\/((-6)\/(-28)))?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*b + 10 = 0, -j + 5*b = 16 - 3. Suppose -4*u + 1 = -3*t + 5, 5*u - 6 = t. Let f(o) = -j*o - o + u*o. Let i(n) = -3*n**2. Determine f(i(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1128 * 2.77.\nAnswer: -3124.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 4:17 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -13, -3\/14, 3\/5, 0.13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 8. Suppose -2*a - 2*d = -316, -352 - 112 = -3*a + 2*d. Let j be (87 + -84)\/(-2 + -1 + 6). Let b be 2 + j - a\/13. Determine m(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 2*t - 2. Let x(w) = -w + 9*w + 6*w - 17*w + 88. Let a be x(28). What is o(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 255 and 9?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(405) + -1)**2*-4 - (-5 + (sqrt(10)\/sqrt(2)*-2)**2 + 4).\nAnswer: -1675 - 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1788302206 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(1596\/805) + 6)\/(3\/(-6))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138453382 is divided by 18662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 51\/45 - (-12)\/(-90). Let f be -3 - (-62 + 1 + i). Let a = f - -7. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + 8160 + -8228?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 4 - 4)*(2 + 3 - 2 + (4 - 1 - 1)*(1 - 1 - 2) - 5 + 5 - 1 + 0 + 2 - 3) in the form r + w*i and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -8, 4*v = -5*m + 9*v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (2 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 4, -1, 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**3 + 2*v**2 - 2*v**2 - v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1300)*1.\nAnswer: -10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*1*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/50 - 28\/(-45))*(-8820)\/(-10780).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*x**2 - 112*x**2 + 24*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let n(o) be the second derivative of -11*o**2\/2 - 39*o - 1. What is -2*d(h) - n(h)?\nAnswer: -2*h + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1644147.6771 to the nearest 10000.\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(1573)*2 + sqrt(1573) + -4*(sqrt(1573) + 0) + 4*4*(sqrt(1573) + (sqrt(1573)*1 - sqrt(1573))))**2.\nAnswer: 127409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f - 58 = 2*s, 2*s = 2*f - 60. Let b = 131\/10 + -1243\/30. Let u = s - b. Is 2\/7 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -74401069?\nAnswer: -74401069.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*u - 9 - 41*u - 46*u - 46*u - 43*u.\nAnswer: -u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 5.30169, 3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -914592 divided by -21776.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minus 93184825?\nAnswer: -93184472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 10*q - 5*q - 25, -5*a - 3*q + 15 = 0. Solve a = -2*r - 21 + 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z + 3588 = 5*z + 111*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 144*r**2 + 291*r + 146.\nAnswer: -(r - 146)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 12:45 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Suppose -v*l - 3*l + 20 = 0. Suppose 2*r + l = 0, u - 3*r + 18 = 4*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -8. Let m(h) = 4 + h - h**3 + 2*h**3 + 0*h + 0*h**3. Let q be m(0). Solve z + q*f - 9 = 2*z, -9 = 2*z - d*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 0.1 (c) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 34, 48, 46, 22, -30, -116, -242?\n\"Answer: -l**3 + l**2 + 28*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 2352*o + 3090*o - 738*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*m**4\/7 + 424*m**3\/7 + 8*m**2 - 1696*m\/7 - 768\/7 = 0.\nAnswer: -12, -2, -8\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Let p = h + 5. Which is the third biggest value? (a) p (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 104*o + 1038, 2*o - o - 4*o + 82 = -l - 11*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0293, 2, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025130345 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000272531716 rounded to six dps?\nAnswer: -0.000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950939 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:10 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 894*w**2 - 66*w - 80. What is q(-1)?\nAnswer: 880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22941070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) 26\/11 (c) 0.0298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270 - -275. Let h(o) = 3*o**2 - 6*o - 26. Calculate the remainder when 208 is divided by h(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-1701 + 0)*-7681. Let j = 285\/7 - r. Put 2\/5, -4, -5, j in descending order.\nAnswer: 2\/5, j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5481 by -609.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1*(-3)\/6. Let g be ((-6)\/l)\/(4 - 2). Let w(o) = 37*o - 2. Is w(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 3*l - 21, 3*l - 6 = 3*u + 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4160 = 2*g, 3*g + 2*y - 2466 - 3774 = 0. Suppose 13*a = 3*a + g. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 73 + 3*y + 129 to the form b + s*y and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 - 3*v + 3*v + (4*v - v + 0*v)*(-2*v + 0*v + v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 3, l: 2, k: 6}. Give prob of sequence lj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (10 + -1 - (-2 - -10))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:59 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, r: 4}. What is prob of sequence wr?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 - 143. What is the second biggest value in 0.5, z, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 + 344 + 515 = 195*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*o = -10 + 500. Solve -4*h + 16 = -2*h - 4*i, 2*i + o = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 219 (b) -2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:31 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 24*-1 - -1. Let z(t) = -t**2 + 9*t - 6. Let w be z(9). Let u be (-2)\/(8\/w)*2. Solve p = 4*b - u*a + 5, -4*a = 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -88. Let x be -3*4\/3*(-19)\/p. Let h = 9 + -9.5. Which is the closest to x? (a) h (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28350*d = 28363*d - 169 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 14*m + 4. Let k be (3 + 2 - 4)*7*m. Let c = k + 19. Calculate the highest common factor of 65 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6 - 6*j + 5*j + 8 + 3*j. Let l(x) = 3*x + 2. Give 4*l(c) - 5*v(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j + 4. Let k be (-48)\/(-120)*j\/(-8). Which is the second biggest value? (a) k (b) 0.5 (c) -1\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-10 + -2) - (5 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21112120100 (base 3) to base 10.\nAnswer: -148401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2656 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*b, 0 = -2*s - 14*b + 12*b + 2. Let r = -20 - -23. What is the smallest common multiple of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let t = -100 - -100. Let o(v) = 3 + 8*v + 5*v + t + 5 + 1. Give o(l(w)).\nAnswer: -26*w + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -57. Let l = r - 26. Find the third derivative of 9*u**5 - 11*u**l + 16*u**5 - 14*u**5 wrt u.\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.399645 - 7.37777.\nAnswer: -7.777415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (w - 15*w - 18*w)*(93*w**2 - 1080*w + 1080*w) in the form g*w**2 + a*w + d*w**3 + c and give d.\nAnswer: -2976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -16 (c) 6 (d) -143 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 24. Let a be h(-18). Suppose v = -v + a. Calculate the remainder when 125 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4 - 0. Let s be (-5)\/10 + 473\/x. What is the remainder when s\/(-2)*(-8)\/(-12) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 7*d + 2*d - 5*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 43479105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -220352448 divided by -192?\nAnswer: 1147669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.422, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12936 and -0.4.\nAnswer: -5174.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1482187514.\nAnswer: 2, 37, 20029561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b + 4. Let a = b - -6. Suppose -2*x = -a*x + 180000. What is x rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -495cc?\nAnswer: 495cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**3 + o. Let s(b) = -21*b**3. Let p(n) = -5*h(n) + 6*s(n). Find the second derivative of p(g) wrt g.\nAnswer: -126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2378 - -2378.1. What is the third biggest value in 40, b, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3375*q - 1078*q - 1133*q - 1160*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.007, -3\/7, 0.3, 2\/3 in descending order.\nAnswer: 2\/3, 0.3, -0.007, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*v**5 + 2\/11*v + 4\/11*v**2 + 0*v**3 + 0 - 4\/11*v**4.\nAnswer: -2*v*(v - 1)*(v + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 163885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 11880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 5\/9*q**3 - 48 - 4\/3*q - 1\/15*q**5 - 1\/4*q**4 + 1\/2*q**2. What is d in o(d) = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.24 less than 128345723405?\nAnswer: 128345723403.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:44 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95159982*g - 456236695.\nAnswer: 95159982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - -1) + -1)\/((-8)\/8). Suppose 4*x - 5*l + 44 = o, 3*l = -3 - 9. Let d = 25 + x. Solve 0*f + 3*f = -2*h - 11, 0 = 4*f - 3*h + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*x - 29 + 256, 2*g - 397 = -5*x. What is the greatest common factor of 27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 645*g + 7028. Calculate c(-11).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - y - 1154 = 0, 3*k + 2*y = 286 + 409. What are the prime factors of k?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-220) - (536\/(-22))\/2. Is ((-99)\/6)\/((-6)\/y) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-123*b + 111*b - 187*b)*(3*b**2 + 3*b**2 - 2*b**2).\nAnswer: -796*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-11)\/(-4)) + (-39)\/(-260)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.2. Let y = 0.4 - g. Let x = -1.6 - -1.1. Which is the nearest to -1? (a) -4\/7 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1717, -6916, -15613, -27808?\n\"Answer: -1749*l**2 + 48*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/36288 and -59\/5296?\nAnswer: 12011328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.51 - 1.34. Let h = -1.17 + k. Which is the fourth biggest value? (a) -0.2 (b) h (c) -5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 20442692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2*m - 2)*(2 - 3 - 1 + 3*m).\nAnswer: -6*m**2 + 10*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57917, -58116, -58455, -58934?\nAnswer: -59553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + c - 3. Suppose a - 11 + 1 = 3*u, -3*u + 2*a - 5 = 0. Let i = u - -15. Calculate the remainder when z(3) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/64 (b) 0 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.2 + 22. What is the fourth biggest value in -5, 2\/11, 2\/7, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 + -223 + 134 - (-16 - (-2 - -2 - 1))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/60*((-75)\/10)\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/(-4 - -8)). Suppose 0*l + d + 3 = 2*l, -5*l = k*d - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*f - 198 = -35*f. Let y(a) = -4 - a**3 + 10 + 0*a - 5*a - 7*a**2. Calculate y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.4 (c) -0.2 (d) 0.0394 (e) -0.3 (f) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961485 is divided by 2084?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 6) to base 5.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 127?\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = 6. Let y(o) be the first derivative of o**3\/3 - 2*o**2 - 5*o + 1. What is the units digit of y(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2714*q + 26818. Let r(d) = -279*d + 2756. Let u(x) = 253*r(x) - 26*y(x). Let s(w) be the first derivative of 3*w**3 + 3. Calculate s(u(t)).\nAnswer: 4761*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 9*t - 166 = g - 57*t, -4*g + 3*g = 3*t - 20 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, -2\/3, 86?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**6\/120 + z**5\/15 + z**4\/24 + z**3\/2 - 118*z**2 + 2*z. Give x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451096*g - 165 = 5*c - 451091*g, 5*c - 2*g = 45 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11735 times -0.4\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 97935.39 months?\nAnswer: 8161.2825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00661630518 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*48\/(-180)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 9)*29\/87. Let f be 0\/2 - (-4)\/90*u. What is the nearest to f in -0.3, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/229 (c) 14 (d) 96\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c - 13*c + 6*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1. Let l(c) = -8 + 2179*c - 8706*c + 2185*c + 2178*c + 2173*c. Determine l(x) + 6*u(x).\nAnswer: 9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -10*i. Let n(y) = 7*y. Let d(v) = 3*f(v) + 4*n(v). Let s(r) be the second derivative of -4*r - 1\/6*r**4 + 0 + 0*r**3 + 0*r**2. Give s(d(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1068, 17.6, 12, 0.4, -0.1 in decreasing order.\nAnswer: 1068, 17.6, 12, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 351 = 2*v, 4*z - 5*v - 93 = 181. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 4*t**2 + t**2 + (t - t - 2*t)*(1 - 1 + 2*t) + 2*t**2 - 3*t**2 + 2*t**2 + 5*t**2 - 4*t**2 - 4*t**2 - 6130 - 146*t**2 + 6130 + 0*t + 0*t - t**2.\nAnswer: -155*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/9)\/(1\/(-200)). Calculate the highest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 139*z**2 - 11*z - 29. Determine o(-2).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8387 + -8182. What is the remainder when r is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-30)\/(-675)*(22*10)\/(6\/3)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*j**4 + 31*j**4 - 23 + 9 - 18 wrt j?\nAnswer: 176*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2430, -4889, -7348, -9807, -12266, -14725?\nAnswer: -17184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 115975462716.72?\nAnswer: -115975462712.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*z - 5754, 1329*u + 5*z - 1450 = 1328*u. What is the least common multiple of u and 1120?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -24 + -4 + 2 + 2. Let t = -18 - z. Suppose -t*a = -11*a + 10. Solve -u - k = -a*u - 6, 5*u + 2*k = -23 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.306982 months to centuries.\nAnswer: 0.011922485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.3, 2, -3\/8, -4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8811672 bigger than 8811672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {t: 5, h: 14}?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let t = -5 - -19. Let l be (1\/2)\/(t\/4). Which is bigger: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*j**5\/4 - 123061*j**4\/2 - 4199731*j**3\/4 + 9630767*j**2\/2 - 4692945*j - 491526 = 0. Calculate j.\nAnswer: -11703, -21, -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 629160623 divided by 247\nAnswer: 2547209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382210.\nAnswer: 2, 5, 37, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 116 - 175. Let l = z - -355\/6. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84.14 or -0.1?\nAnswer: -84.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 1. Let f = -15 + 10. Let u = -1 - f. Suppose -u*d + 1 = -3. What is q(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 6. Let h(o) = o**2 - 107*o - 18799. Let w be h(202). Calculate the greatest common factor of d and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14419, -56620, -126955, -225424, -352027?\n\"Answer: -14067*u**2 - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7550 - 6521. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 645, 685, 713, 723, 709, 665, 585, 463?\n\"Answer: -m**3 + 47*m + 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.2188 centimeters in meters?\nAnswer: 3.862188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-1 + -2) - -5. What is the highest common divisor of 44 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -15\/92 (b) 21.8 (c) -1\/8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83894 + 119023. What are the prime factors of h?\nAnswer: 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -b + 2*p - 493, 3*p = 5*b + 2501. Let h = 272 - b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3176972220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q + q**3 + q - 25 + q + 27 + 4*q**2.\nAnswer: (q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5 + 8.5. Sort y, 0.2, -2\/11.\nAnswer: -2\/11, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5 = 1. Suppose -k*y + 10 = -8. Solve -2*g = -y, -g - 6 = -4*l - 3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9725 and 3425?\nAnswer: 1332325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17134670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 117*k + 385. What is d(-2)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, -121, -711, -1947, -4045, -7221?\n\"Answer: -36*c**3 + c**2 + 89*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162364518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 37, 54, 69?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*w + 63. Suppose -2*y - 5*k = -6*y + 88, -5*k = 2*y - w. Calculate the remainder when 49 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z + 6. Let i(w) = 8*w - 19. Let u(d) = 2*i(d) + 7*r(d). Let n(h) = 4*h - 3. Let y(q) = -3*n(q) - 2*u(q). What are the prime factors of y(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + 4. Suppose 9*a + 521 = m, m + 336*a - 332*a - 482 = 0. What is the greatest common factor of z and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-49329)\/(-116))\/21 - ((-15)\/(-4))\/3\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 9. Let b(a) = a**3 + 4*a**2 + 3*a + 5. Let p be b(-4). Let n be j(p). Solve -n*w + 5*w = -15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4142875035.\nAnswer: 3, 5, 13, 21245513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*f - 4, -7*f - 12 = -3*f + 4*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (0 - (2 + 18)). Let q = u - 18. Which is bigger: q or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93879.\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 835\/24176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -82*-553264\nAnswer: 45367648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 6. Let a be p(19). Suppose d - a = -2. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose -4*f + 3*h = -16, o*h + 0 = -3*f + 12. Let u be (-3 + 3)*2\/f. Solve u = 4*k - 3 - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48102.\nAnswer: 2, 3, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00602510718 to 4 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(47*(-15)\/(-23970))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124307 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-18) - 41684\/22068\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 75.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/7 - 30*h**3\/7 + 334*h**2\/7 - 762*h\/7 + 460\/7 = 0 for h.\nAnswer: -23, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 579.3846 and 2.\nAnswer: 1158.7692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 21*q. Suppose 0 = 3*k - 3*b - 90, -2848*b + 2846*b = 2*k - 88. What is the remainder when k is divided by p(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*m - 3*m + 2*m)*(3 + 2*m - 3) - 11*m**2 + 2*m**2 - 14*m**2)*(-8*m + m**2 + 8*m) as j*m + p*m**4 + z*m**3 + t + a*m**2 and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1830*f**3*x + 16*f**3 - f*x - f - 12661*x wrt f?\nAnswer: -10980*f*x + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124196*i**4 - 3215*i + 83 wrt i?\nAnswer: 1490352*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/8 + (70 + -71)*-15 - (-11)\/4. What is s in -1\/3*s**5 + 0 + 0*s**x - s**4 - 2\/3*s**3 + 0*s = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**4 + 1 - 1 + (4*q - 2*q - 3*q)*(0*q**3 + 2*q**3 - q**3) + q - q**2 + 441 - 441 + 4*q**4 to a*q**2 + h*q**3 + j*q + t + p*q**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j + 10. What is f(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1080377?\nAnswer: 541, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.0752 milligrams in micrograms?\nAnswer: 844075.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11871 + 11866. What is the nearest to 1 in -554, 1\/2, s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36850 and 5896.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnnnnnncccnggvnvnnn. What is prob of picking 2 g?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 2714479*m**2 + 1842062414347*m - 49737664062243.\nAnswer: (m - 27)*(m + 1357253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(539))**2 - (-2 + sqrt(99) - sqrt(99))**2.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-21)*-2252 + 13*(-34)\/1547. Is -328 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. What is prob of sequence sss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 6167 + 529 = 0. Let a = d - 73. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -559 + 605. What is the remainder when 244 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308 = -5*p + 7793. Suppose -p + 54 = -11*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 - 7*z + 8. Let g be t(-8). Suppose g = -4*q + q, 15 = k - 4*q. Suppose -85 = -5*f + 65. What is the greatest common factor of f and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114787286.\nAnswer: 2, 57393643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1670, 1592, 1470, 1310, 1118?\n\"Answer: k**3 - 28*k**2 - k + 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6*8\/288 + 5957\/6 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - -1) + (9 + -82 - -50).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ip when two letters picked without replacement from {i: 1, y: 1, a: 1, p: 3, d: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (11 - (27 + -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 179312\/28818*135\/12?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -67. Let w be (-8)\/16*6\/g. Which is the fourth smallest value? (a) w (b) -15 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 1. Let f(o) = -1. Let z(r) = 6*f(r) + s(r). Let j be z(3). Which is greater: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 2. Determine x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/5 - 15593*o\/5 + 93522\/5 = 0.\nAnswer: 6, 15587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 4:49 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhmmbmmhhmbbhm. What is prob of picking 2 m and 1 b?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25933052 times -0.3\nAnswer: 7779915.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156 - 254. Let c be (-4)\/k*(12 - 5). Sort -1, c, -4, 0.1 in ascending order.\nAnswer: -4, -1, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -10\/1757081?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 826 and 4508.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let a(o) be the third derivative of -165*o**4\/8 - 3*o**2 - 250*o - 1. Determine r(a(f)).\nAnswer: 495*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2252732 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254040795 by 3.\nAnswer: 84680265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 a factor of 2904341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7742 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -329227 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 281, 569, 897, 1265, 1673, 2121?\n\"Answer: 20*u**2 + 188*u - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-99) - (-4)\/(-22). Suppose r = -5*n + 8 + 657. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1248898 = 54*i + 20*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63726 is divided by 1677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 101?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3 + sqrt(704) + (sqrt(704) - (0 + sqrt(704)*-1)) + sqrt(704) + (sqrt(704)*-2 + sqrt(704))*-1)**2*4.\nAnswer: -1920*sqrt(11) + 70544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 56*x = -66*x - 1740 for x.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 125\/6, 1\/2, -1\/6, 0.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 1. Let u(l) = -6*l + 7 - 20*l + 33*l + l**2. Let x = 0 + -4. Let r be u(x). Give m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.3 + 4.3. Sort o, 1, -0.2, 0.4 in ascending order.\nAnswer: o, -0.2, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*x + 4, 3*x + 3 = 4*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -0.1. Let z = 1.14 - 0.14. Which is the smallest value? (a) z (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 529 + 396 + 81 - 965*w wrt w?\nAnswer: -965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4791.000030644 + 4791. What is a rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m + 67*m - 74*m - 328 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045475 to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0.4, -1, -3 in descending order.\nAnswer: 0.4, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84 - 21*a**2 + 21*a**2 - 76 + 158 - 691*a**3 - 424*a wrt a.\nAnswer: -4146*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/9 - 19594*i**2\/9 + 102278812*i\/9 - 20216550664\/3 = 0 for i.\nAnswer: 678, 9458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*z - 319, 0*z = 2*z - 4*x - 140. What is the remainder when z is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -136, -207, -280, -355, -432?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7904.4 - 7904. What is the third biggest value in -1, -7.03, b?\nAnswer: -7.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 46 = 3*n, -5*n = 5*c - 3*c - 97. Suppose 5*s = -2*y - 1 + c, 8 = 2*s + 4*y. Calculate the highest common divisor of s and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -183000*-4*(-1)\/(-6). What is z rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63040 and 283680?\nAnswer: 567360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -281856 - -281856.0149817. Round j to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2653 is divided by 544?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497199\/44 + 11298. Calculate the common denominator of b and -41\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -297924, -297926, -297928, -297930, -297932?\n\"Answer: -2*m - 297922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n - 6. Let u(i) = -i - 5. Let a be u(-11). List the prime factors of v(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 700 and 1575532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*j. Let w = j - -1. Is w\/((-2343)\/(-1171) + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53540 and -0.34?\nAnswer: -18203.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-5 + (-4 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*c**3 - 6 - 4*c + 1\/2*c**2.\nAnswer: (c - 3)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -253*z - 3149 + 113 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 20 + 1044 = 0. Is v less than -129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*o**5 - 13584*o**4 + 27225*o**3 + 10185*o**2 - 23808*o + 6804 = 0. Calculate o.\nAnswer: -1134, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 1\/6 (c) 2.43 (d) -2\/19 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 5*s - 2. Let w(x) = x**2 - 2*x - 1. Suppose 5*t + 0*t = 15. Let f be 35\/t - (-4)\/12. Suppose 3*b + 3 = -f. What is b*w(v) + 2*g(v)?\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10151729125.00000027 - -10151729060. Let d = s + 65. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 18110\nAnswer: 3440.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/7 and -19\/13.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-20) - 4)*(-1)\/2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 969\/146 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*a = 850*a + 60 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 18. Calculate the remainder when 21 is divided by l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -553112100?\nAnswer: -553112110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(1\/37))*q\/(q*(q*q\/(q*q\/(q\/(q**4*q))))\/q))**(1\/47))**(-7\/9))**(-50) assuming q is positive.\nAnswer: q**(21700\/5217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + -1 - (54 + -57).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 27. What is s(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 1539784.523888\nAnswer: -1539785.023888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 8*b - 14. Let q be s(4). Factor -14*z**3 - 4*z**4 + 15*z**2 - 4*z**5 - 2*z**3 + 12*z**5 - 3*z**q.\nAnswer: 4*z**2*(z - 1)**2*(2*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-7)*(-7)\/2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -5*p + 65*n - 63*n, -5*p - 5*n = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 0.3 (c) -1\/2 (d) -0.027 (e) 128.7 (f) -7.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 79.\nAnswer: 23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -285.86 + 287.86. Which is the nearest to -1\/330? (a) 3 (b) u (c) -0.1 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1485 = 4*c - 9*v, -1869 = -5*c + 2*v. Suppose -4*k = -c - 845. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 5*h - 4. Let d be m(-4). Let o be 9\/(-15) - 51\/15. Let b be (-8 + 9)*10\/(-2). Sort b, d, o in descending order.\nAnswer: d, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*b - 11*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, b: 5}. What is prob of sequence tbbt?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4446\/858 - 5*1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d + 10. Suppose -2*n - 5*n = -49. Suppose -n*x + 1 = 8. Let c be x\/(3*(-8)\/12)*10. Let f(i) = -4*i - 4. Give c*s(z) + 12*f(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 582203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 384 = -74*q - 22*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 3:36 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2062, -2061, -2068, -2089, -2130, -2197?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86040 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 7\/(-2))*(-9)\/(-54)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 501 + -11525\/23. Are a and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = 4*t - 5*c + 3, 15 = -5*t - 5*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 4. Is o(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, w: 1, q: 2, t: 2, n: 1}. What is prob of sequence tn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87816 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-1*2) - -3. Suppose -443 = -p*g - 0*h + 4*h, g + h - 94 = 0. Suppose 5*y - 455 = -3*j, y + 0*j = 2*j + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803 is divided by 137?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 0)*(0*j - 2*j + 3*j + (-3 - 4 + 2)*(60 + 7*j - 60)) as p*j + d and give p.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445, 3536, 11939, 28312, 55313?\nAnswer: 95600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*1*1)\/(-3*-4*sqrt(12)*2).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 81\/15 - (0 + 6\/15). Solve 0 = 5*u + o + 12, 0*o + 12 = -u - y*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**5\/3 - 14*y**4\/3 - 10*y**3\/3 + 86*y**2\/3 + 28*y - 48 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 146929860 divided by 21202\nAnswer: 6930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -5893.\nAnswer: 5\/5893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10685.\nAnswer: 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1231 or 1249?\nAnswer: 1231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -271*z + 1475 - 1947 + 6163 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 902 divided by 198.\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1074989766\/2299 - 467590. Let z = k - 6\/121. Is z less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5662243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**5 + 4*g**4 - 4*g**4 + (0 + 2 + 0)*(-2*g**5 + 2*g**3 - 2*g**3).\nAnswer: -10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 10:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 0.64. Let c = p - 1.14. What is the third biggest value in 0.5, -1, c, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 18*k. Let z be b(1). Find the third derivative of -2*p**5 + z*p**5 - 65*p**2 + 26*p**2 + 4*p**5 wrt p.\nAnswer: 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + j + 92. What is n(-11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 135870379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1670 + 1671. What is the second smallest value in z, 0, -0.5, -19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 14*j**2 - 17*j - 1. What is w(-13)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 370, 368, 366, 364, 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3028 + -3027.99996591. What is h rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(-1\/28))*p)*p**(-21)\/p*p)\/((p\/(p*p**19))\/p**(-6)) assuming p is positive.\nAnswer: p**(-225\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20147 + 20243. Calculate the highest common divisor of t and 1650.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18757, -37552, -56353, -75166, -93997, -112852, -131737?\n\"Answer: -l**3 + 3*l**2 - 18797*l + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x - 27. Suppose -8*s = -0*s - 328. What is the hundreds digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000061221 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1316\/10 - 7\/(35\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*u + 3*i - 13, -3*u - 2*i = 21. Let m = u - -2. What is the third biggest value in 3, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*y + 45 - 13, 4*c + 5*y = 64. Put 2\/19, c, 1 in increasing order.\nAnswer: 2\/19, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4461.071 rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-185 - -188) + (-10 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3*((-3)\/((-9)\/1))\/(-1))\/((-64)\/(-1920))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 - 21 - 21 + 15379*r - 27 to the form m*r + i and give m.\nAnswer: 15379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 7*p**2 - 6*p - 8. Let b be i(-6). Let o = 1 - b. Let u = o - 6. Solve 4*l + u*z + 7 = 0, -4 + 5 = -z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d**2 - d + 17. Give t(3).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*a**3 + 9 - 457*a**3 - 1.\nAnswer: -3*a**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1791604 = 220*m + 155688 - 288644. Is 36 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(4\/11)*q*q))\/(q*q**(-2\/17))*(q**27)**(1\/5) assuming q is positive.\nAnswer: q**(2014\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 times 5197?\nAnswer: 8351579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5304 - -0.53. What is o rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 10*f - 8. Let n be i(3). Calculate the highest common factor of 403 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/3*(-2)\/(-5)*2450\/196\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 846?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**3 + 3*l**2\/2 + 3*l + 9. Let m = -101 - -99. Determine y(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2*(-5)\/2)\/(96\/(-32)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**19)**(-10)\/(u**(2\/11)\/u)**(1\/10) assuming u is positive.\nAnswer: u**(-20891\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j. Let l(g) be the third derivative of -4681*g**5\/60 - 9691*g**2. Calculate m(l(b)).\nAnswer: -14043*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4336*r - 1626593 = 4295*r. What is the thousands digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2205)\/(-126910)*(-148)\/(-333)\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129601836 to the nearest integer?\nAnswer: 11384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 22 = -18. Calculate the lowest common multiple of q and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-12075)\/322.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 5*n. Does 7 divide (34\/(-16)*-2)\/(n\/48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Let k(n) = -5*n + 7. Let h(v) = k(v) + 6*y(v). What is h(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 + 0 = b, -5*b + 25 = 0. Suppose -u*q - 4 + 10 = 0. Solve -s + 4 = g - 3, q*g - 2*s = -2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -310 (base 4) to base 6\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*i**2*t**3 + 24*i**2*t**2 + 15*i**2*t - 6*i*t**6 + 2*i*t**2 - 2*i wrt t?\nAnswer: -1014*i**2 - 720*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 52144.\nAnswer: -156432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**6\/15 + z**5\/5 - 2*z**3\/3 + z**2 + 8*z + 3. Factor s(l).\nAnswer: -2*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 50861706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38456360519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9444\/49581*(-5)\/((-10)\/(-12)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(6\/2)*-2)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(448)*1)**2*-6 + 4 + (-1*sqrt(448))**2 + 4.\nAnswer: -2256 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppiiipipippp. What is prob of sequence iii?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 51709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a. Let t be (-6)\/1 - ((-18)\/21)\/((-108)\/(-1008)). Give o(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6930.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 31 = 5*t - 10, -5*t + 3 = 2*o. Solve -2*i + o = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t = -3*t + 21*t - 37*t + 5568 for t.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3116\/574)\/(-38))\/(2\/658).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t + 21 = -2*d, 2*t - 4*d - 22 = 0. Solve -25*n - t = 20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120 - 73. Let k = n - -188. Sort k, 1\/2, 0.4, 2\/3.\nAnswer: k, 0.4, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(637))**2 - (-3 + sqrt(117)).\nAnswer: -634 - 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1011010 (base 2) to base 9\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -346, -364, -376, -376, -358, -316, -244?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111972*d**2*h**3 - 18*d*h**3 + 2631*d wrt d.\nAnswer: 223944*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -145. Let d(v) = -v**2. Let w(b) = -19*b**3 - 5*b**2 + b + 40. Let n(s) = c*w(s) - 5*d(s). What is the derivative of n(x) wrt x?\nAnswer: -57*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5066099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.2 + -271.\nAnswer: -213.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 773347.9ml?\nAnswer: 773.3479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1306\/21603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16114 + 16114. Which is bigger: 1\/312 or z?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0 (b) 0.71 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -32.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 10:53 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 319*o**2 + 4*o - 59. Let m be l(-8). Let h = m - 487879\/24. Calculate the common denominator of 0 and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 5*x - 4. Let k(m) = -m. Let o be k(3). Let a be p(o). Suppose 278 = 5*y - 2*u, -2*u + u + 113 = a*y. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17261190*y - 50196599.\nAnswer: 17261190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1186*h**3 - h**2 - 6*h + 21. Let p(z) = -237*z**3 + z - 4. What is -11*p(v) - 2*q(v)?\nAnswer: 235*v**3 + 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**1*m)**36*((((m**(-4)*m)\/m)\/m)\/m)\/m**(1\/3)*(m**(-2\/3)\/(m**(2\/7)*m))**(-1\/8) assuming m is positive.\nAnswer: m**(7723\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*c = 1682, -4*c = -4*t - 109 - 1567. Let d = -100 - t. What is the greatest common divisor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.08? (a) -18\/11 (b) -62 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*d**5 + 6*d**5 - 6*d**5 + (0*d**3 + 2*d**3 + d**3)*(-4*d**2 + 4*d**2 + 2*d**2) + (-21*d**4 + 21*d**4 + 12*d**5)*(1 - 1 + 2) + 4*d - 4*d - 6*d**5.\nAnswer: 29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.056637mm in meters?\nAnswer: 0.001056637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 432 + 431. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfp when three letters picked without replacement from {f: 1, b: 2, q: 5, p: 2, y: 2, r: 1}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**7\/2520 + u**5\/8 + u**4\/12 - 3*u. Let k(t) be the third derivative of i(t). What are the prime factors of k(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 12*k**2 + 12*k - 2. Suppose -4*m = 23 - 71. Let u(z) = z**2 - z. Calculate m*u(c) + j(c).\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**4 - 3*i**4 - 10*i**4 + (-2*i + 2*i - 2*i)*(3 - i**3 - 3).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:20 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (16 + -16 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + 11?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)\/a**(3\/17))**(14\/13))**4 assuming a is positive.\nAnswer: a**(56\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 3. Let b be n(1). Solve -3*m = -b*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3146 - 2*b**3 - 10*b + 0*b**3 - 3148 - 5*b**3 + 0*b**3 to t*b + r*b**2 + u*b**3 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/18, 29, -2\/3 in descending order.\nAnswer: 29, -7\/18, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 707212063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 15*a + 9. Let h(b) = -b**2 + 9*b - 9. Let k be h(6). Let v(m) = -4*m + 10 - 7*m - 5 + 19*m. What is k*v(i) - 5*t(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k + 1. Let d be w(1). Suppose -5*g + 3*o + 26 = -7, g - d = 3*o. Suppose 0 = g*a - 2*a - 48. What is the greatest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887.6786um in meters?\nAnswer: 0.0008876786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.2181606 and -1.748.\nAnswer: 4.4701606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j = 25*j + 32. Suppose 0 = p - 2*p + 45. Suppose k + k = -u + 78, -j*u = k - p. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*c + 226*c = -258*c + 76573783. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*b + 1 - 3)*(1 - b - 1)*(-81 - 136 - 56)*(0 + 4 + 1 + 0 + 0 + 2 + (-3 + 4 - 2)*(0 + 1 + 1)).\nAnswer: -2730*b**2 - 2730*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v + 12. Calculate y(15).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 5*s**4\/4 - 11*s**3\/3 + 11*s + 17. Let h(r) = r**3 - 2*r**2 + 2. What is 6*d(k) - 33*h(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -11*v**3 + 2*v**2 + 5*v - 6. Let y(f) = -32*f**3 + 5*f**2 + 14*f - 17. Calculate 17*p(c) - 6*y(c).\nAnswer: 5*c**3 + 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*k**3*s*u**3 - 2058799*k**3*u**3 - k**2*u**3 + 5996213*k*s*u**3 wrt s.\nAnswer: -13*k**3*u**3 + 5996213*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53221 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1567691 and -0.2?\nAnswer: 0.03135382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330538 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 60?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.77894ng in tonnes?\nAnswer: 0.00000000000008577894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1 + 6 - u**3 - 29*u - 1 - 806*u**2 + 827*u**2. Is x(19) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*f - 6*f - 2*f)*(f**4 - 3*f**3 + 3*f**3).\nAnswer: -31*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5675574 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-3470))\/(1\/(40\/176)). Let s = f + -99260\/34353. Are -4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -8\/1205711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1685\/29683?\nAnswer: 1685\/29683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1252 divided by 5\nAnswer: -1252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5320*w**3*x**2 - 41*w**3 + 4*w**2*x**3 + w**2 + 29*w wrt x?\nAnswer: -10640*w**3*x + 12*w**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, v: 1, m: 1, j: 1, y: 2}. What is prob of sequence jyv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 11*n**2 + 3*n - 13. Let y be a(11). Let c be 4\/(-5)*y\/(-104). Which is bigger: c or -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*q - 48*q - d + 7, q + d + 5 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 5*f + 1. Calculate the lowest common multiple of 4 and b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127832899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -5*a - 3*b, 2*a + 2*b = 36 + 30. Let y = a + -39. Let i = -4 - -2. Put 1, i, y in increasing order.\nAnswer: y, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 164309.\nAnswer: 1150163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**3)**(-27)\/((t\/((t*t**(7\/5)*t)\/t)*t*t)\/(t*t\/t**(6\/13))) assuming t is positive.\nAnswer: t**(1816\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 8*i - 11. Let u(r) = -r**3 + 3*r**2 + 3*r. Let j be u(3). Let c be d(j). Let v be -1 + 0 - (-18)\/c. Is -10 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(110)*-1 + ((sqrt(110) - (2*sqrt(110) + sqrt(110))) + sqrt(110))*-4)\/(-5*(sqrt(10)*3 - sqrt(10)) + 3*sqrt(810)).\nAnswer: 3*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zojd when four letters picked without replacement from {o: 1, r: 2, j: 1, d: 3, z: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50*f**4 + 133*f**3 - 49*f**3 - 19*f**2 - 15 - 45*f**3 - 32*f**3 wrt f.\nAnswer: 1200*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -8. Let y be (1 - 4)\/(z\/10). Suppose 2*p + 2 = -4*n, -4*p + 9*p + 5*n = y. Calculate the least common multiple of p and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 89, 362, 929, 1898, 3377, 5474, 8297?\nAnswer: 11954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3000444200 (base 5) to base 13\nAnswer: -12a90b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by (6\/15)\/(-2*(-5)\/750).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*t - 83*t + 153 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 15, g: 3}. What is prob of sequence jgg?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*n = 208*n - 16 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1077 - 1080. Which is the closest to 0.1? (a) p (b) -0.1 (c) -42.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 19 + 17. Factor -9*b**2 + 28*b + x + 3*b**3 - 28*b.\nAnswer: 3*(b - 2)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 22*t - 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -429896*f**3 + 682*f**2 + 62.\nAnswer: -2579376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 114\/5*60\/5427. Let j = -2\/67 + d. Which is the closest to 0? (a) 0 (b) j (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 11*k + 3. Suppose -22 = -2*u + 4*u. Let l be w(u). Suppose 16 = l*j - j. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a second in milliseconds?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**2*n*n))**33*n**(1\/6)\/((n\/n**(1\/4)*n)\/n*n) assuming n is positive.\nAnswer: n**(-1999\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8542778*k*u**3*v + 30*k*u**3 - 217*k*u**2 - 2*k*u - 5*u**3*v**2 - 190*u**3 - u**2 - 2 wrt v.\nAnswer: -8542778*k*u**3 - 10*u**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -34\/479 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, 0, 1 in descending order.\nAnswer: 1, 0, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 - 477 = 111*c - 101*c for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(126) - -2*sqrt(126))*6 - (sqrt(126) - 2*sqrt(126)*6))\/(((2*sqrt(140))\/sqrt(4) + sqrt(35))\/sqrt(5)))**2.\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((42\/(-10))\/(-7))\/((-36)\/40). Which is the closest to 2? (a) -0.3 (b) -2\/13 (c) n (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*u + 36 = 728*u - 364*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:28 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 7. Let l be (1*-4 + 3)*i. Is l*(0 + (-46)\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17174 - 17175. What is the closest to 1 in 47, n, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38115 and 11025.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(22)\/sqrt(11)) - -2*(sqrt(38)*-5 - sqrt(38)))\/((sqrt(16)\/sqrt(72) - (sqrt(14) - (sqrt(14) + 2*sqrt(14)))\/sqrt(7))*1).\nAnswer: -33*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = -2*f. Let g be f*(3\/(-2) + 0). Which is the closest to 0.1? (a) -0.5 (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/49, 9, 54, -10\/7?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 146\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let m(u) = 11*u - 1. Determine m(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2156053?\nAnswer: 2156053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 149611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 137.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 7) to base 9\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -23*g**2 + 6208*g - 184484. Determine m(34).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i - 22. Let p be b(6). Is 3 a factor of (26\/7 - -1) + p\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-49))\/((-1)\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -966 - -989. Suppose 5*w = 4*k + 435, 4*k - 52 = -2*w + 122. What is the remainder when w is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138 + 39 = 56*f + 69 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -224980.\nAnswer: -1\/56245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v + 12*v - 4 - 4*v wrt v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 84535 + 84550 - 169085.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (72\/63)\/(14\/(-49))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 196.69 + -201.69. Which is the smallest value? (a) 3 (b) n (c) 1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -574.723 + 571.7. What is k rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 6, 0.229?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 smaller than 364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10203.0004433 + 10203. What is w rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + -8.98. Let n = v + 10. Which is the nearest to n? (a) -1 (b) 2\/7 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-728)\/(-143)*1529\/278?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p + 111. Let v be g(16). Put 4, v, 2, -5 in increasing order.\nAnswer: -5, v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 424 and 2120?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37341.26 millilitres?\nAnswer: 37.34126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0388931 + -0.134251. Let w = -0.0954 - g. Round w to six decimal places.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1608 + 897. Let v be (-464)\/(-18) - 158\/g. What is the greatest common divisor of v and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 56*l**2 + 0*l**2 + 33 to the form s*l + c*l**2 + t and give c.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 7*o + 13 + 78 = -3*s, 46*o - 2*o = s - 572 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80808 and 66293640?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-12))\/(148\/(-1776))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -4*u - 5*x - 37, -u + x - 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*j + 75 + 45 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8 and -6\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1007*w - 5539*w + 566544 = 572*w for w.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*p - 17 = -2*h, -5*h = p + 20. Let f(v) = 3*v**2 - 6. What are the prime factors of f(h)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c8b (base 15) to base 13\nAnswer: -139a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 19*z - 6. Solve 0*m + 2*m - 9 = -z*b, -12 = -4*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 28 - (208 - 193)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11438*h + 1910491 = -5469*h for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/5 - t\/5 + 4.\nAnswer: -(t - 4)*(t + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**4 - 6*q**4 - 3*q**4 + 5*q**4 + 8*q**4 - 10*q**4 + (-6*q - 3*q**3 + 6*q)*(20*q - q + 20*q) as y*q**3 + h*q**4 + z + t*q**2 + i*q and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 808?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -31898*l**2 + 11075*l**2 + 11010*l**2 + 10695*l**2 in the form p + b*l + m*l**2 and give m.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35.9 - -40. Let p = y + -0.1. Let g = -0.7 - -0.6. What is the second smallest value in 0.4, p, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -0.86 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/6*(-5)\/(-250)*5. Let q = -114 + 118. Which is the nearest to -1? (a) 2\/3 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6215 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/(g\/g**(-2)))\/(g*g**(-2)*g)**(21\/4) assuming g is positive.\nAnswer: g**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 19*v**2 + 20*v - 35. Let q be c(18). Let i(o) = -o**3 - 3*o**2 + 4*o + 3. Let n be i(-4). Suppose -n - q = -h. Solve h*r + r + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 2. Let c = l - -39. Let i = c - 14.9. What is i rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(63\/84)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765690 is divided by 382836.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/1 + -2 + 3. Let v(t) = -3*t**2 + 3165*t + 813*t**3 - 811*t**3 + 1 - 3169*t. What is v(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/31 (b) 0 (c) -0.1 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 11. Let j be h(9). Suppose 1 = -d + j*k, 0*d + 5*d + 2*k = 19. Suppose d*a + 11 - 59 = -r, -3*a + 36 = -3*r. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f - 12. Let z(a) = a + 3. Let x be z(f). Let q = x - -1. What is the highest common factor of q and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1313, -2624, -3943, -5276, -6629, -8008, -9419, -10868?\n\"Answer: -d**3 + 2*d**2 - 1310*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 + 0*w + 10*w**3 - 2 + 8*w**3 + 3*w - 2*w**2. Calculate the remainder when y(2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 2 + 2)*(-r**2 - 2 + 2) + (r**2 - 1 + 1)*(3*r**2 + r**2 + r**2) - 4*r**4 - 3*r**4 + 5*r**4.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1815?\nAnswer: 1\/1815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114.29829 months to decades.\nAnswer: 0.95248575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/2 - 355*q**2\/2 + 5362*q = 0.\nAnswer: -383, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/8, -38\/7, -1.1 in increasing order.\nAnswer: -38\/7, -4, -1.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112382 is divided by 601?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193945 divided by -67.\nAnswer: 193945\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318*h**3 + 633*h**3 - 2536*h**2 + 2515*h**2 wrt h.\nAnswer: 5706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 94*u**2 - 856*u - 1344.\nAnswer: -(u + 2)*(u + 8)*(u + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20e13b (base 15) to base 2.\nAnswer: 101111110011001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -894\/7 + 128. Let w(f) = -52*f - 51. Let l be w(6). Let r = -365 - l. What is the closest to c in -5, r, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 184*p - 146. Let k be o(2). Suppose 237 = w + k. Which is bigger: w or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1130 - -1136)\/(10\/15*1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 7. Let g be q(-8). Let s = 3 - 2. Put -2, s, g in decreasing order.\nAnswer: s, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367275 divided by 1.\nAnswer: 367275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31667 (base 9) in base 3?\nAnswer: -1001202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685*d + 681*d = 4*f, 4*f + 10*d = 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {r: 2, l: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237360)\/61920*(-5 - 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/65621 or 3\/5?\nAnswer: -6\/65621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c*c**(2\/13))*(c*c**(3\/8))\/c*(c\/(c\/((c\/(c*c**(1\/3)))\/c)))\/(c*c*c\/(c**(2\/7)*c))*(c**4\/c**(-3\/5))**(-1\/9) assuming c is positive.\nAnswer: c**(-109339\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15727909 rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y + 8*y + 14*y.\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22752.038071 minus 5?\nAnswer: -22757.038071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 - 5 + 5)*(10*s + 66*s - 28*s + (-4*s + 3*s + 3*s)*(-1 - 1 + 4)).\nAnswer: -208*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 4*l - 5. Let z be (((-9)\/(-3))\/1 + -1)*2. What is v(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 32*q + 96.\nAnswer: 2*(q + 4)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (-9)\/(-4) + (-2)\/4. Let q = 1 + -1. What is the nearest to u in q, 0.3, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*b + 4*b, 0 = -2*b + 2*n + 14. Suppose 2*s - 40 = -b*s. Suppose 5*o - 67 - s = 0. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/70 - d**4\/14 + 4*d**2\/7 + 7*d. Suppose r(i) = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 161 + 16 = -p, 20 = -5*c. Does 39 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 413 and 30037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b + 21\/5*b**5 + 51\/4*b**4 + 1\/2*b**6 + 17*b**3 + 228 + 9*b**2. Factor a(j).\nAnswer: 3*j*(j + 1)**2*(j + 2)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 5*q - 17*q**2 - 5*q. Let w(u) = -2*u**2. Calculate f(w(b)).\nAnswer: -52*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 + 3*y**2 - 48 + 3*y + 0*y + y**2 + 0*y + y**2 + 1 - 1 + (-4*y - 3*y + 5*y)*(-1 + 1 - y) - y**2 + 5 - 5 to the form d + c*y + u*y**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqxrrqq. What is prob of sequence xor?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c - 4. Let a be y(-4). Suppose -2*j - 2*j = j. Suppose j = -a*z - 12 + 76. What is the lowest common multiple of z and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 - 146. Let t = 16 + d. What is the smallest value in -2, t, 5, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/21)\/((432\/(-28))\/(-12)). Do z and 2.46 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 5, 443, -0.01, -8, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 10\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.034 (c) -2\/3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 736311 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/9 - 46*s + 396 = 0.\nAnswer: 9, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2586*t + 168*t + 1157*t - 54*t.\nAnswer: 3857*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14153070 divided by -2830614.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 7011405.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one quarters of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 1968 - 22494 = -s, 3*u - 30798 = -3*s. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -813, -812, -811, -810, -809, -808?\n\"Answer: d - 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005222818934 to 6 dps.\nAnswer: -0.005223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 62, 111, 164, 221?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o + 6. Let a(t) be the first derivative of -t**2\/2 + t - 3. Let x(v) = -4*a(v) + w(v). Differentiate x(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*n - 207*n + 35 = -t - 415*n, 5*n = t + 26 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3\/3 + 23. Let w(q) = 12*q**2. Calculate w(z(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -15) + -30 - -17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23444 - -23186. Which is the nearest to -2? (a) -0.2 (b) 0 (c) 2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.77891268 rounded to three decimal places?\nAnswer: -7.779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4 + (-201 - -202)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*f + 39, 2*v - 185 = 2*f - 173. Which is the fifth biggest value? (a) -0.5 (b) -3 (c) -0.3 (d) v (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -375*u**3 - 34*u**2 + 46*u - 99. Is v(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(360)*1)\/sqrt(8) + 0 + sqrt(495)\/(sqrt(1100)*1)))**2.\nAnswer: 9801\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28288?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.078 and 0.0487.\nAnswer: -0.0037986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 223583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -137.\nAnswer: -137, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 2*h**2 + 2. Let y be q(2). Let s(l) = 2*l**3 - l**y - l**2 + 4 + 0*l**3. Let w = -2 + 1. Let t(f) = 1. Calculate w*s(c) + 4*t(c).\nAnswer: -2*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-214)\/12 - 6\/36. Let v be (j\/(-15))\/(-1*(-6)\/20). Let f(i) = i**3 - 6*i**2 + 3. Let r be f(6). Solve r*o - 15 = -2*o + v*c, -5*o - c = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0\/3)*494*(-74)\/9620.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 3*c - 19, -x - x = -3*c - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x - 263137 = -137651 - 132526 for x.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + l = -35, -28 - 4 = 2*a + 4*l. Let j = 26 - a. Calculate the lowest common multiple of j and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 times -119.2054\nAnswer: 19549.6856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9673569 to the nearest integer?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/60 + 17*u**4\/24 - 13*u**3\/6 + 33*u**2. Is w(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(1236\/5047)\/(16\/(-280))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 o when four letters picked without replacement from {y: 2, k: 5, q: 5, o: 5, u: 2}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*w - 2*z = 2920 - 12967 - 2915, 6*z = -5*w + 175 + 101 for w.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + c**2 + 0)*(-2*c + 2*c + c) + 53*c**3 + 13*c**2 - c**3 - 11*c**2 - 4 to q + y*c + v*c**2 + m*c**3 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11875 is divided by 742.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6 - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/((sqrt(10) - (sqrt(10) - sqrt(40)))*5))\/(-5*(sqrt(98) + sqrt(98) + sqrt(98)*2))*1.\nAnswer: -sqrt(2)\/1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + (-1)\/(-2). Suppose 4*o = 4*l - 44, -5*o + 2*l = l + 35. Suppose -498*a + 12 = -501*a. Sort o, a, v in ascending order.\nAnswer: o, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**2*t)**(-26\/7)\/(t**(2\/9)*t)**(4\/3)*(t\/(t**13*t)*t**(-2))**38 assuming t is positive.\nAnswer: t**(-111548\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -8*u**3\/3 + u. Let o(w) = 785*w**2 - 331*w**2 - 226*w**2 - 235*w**2. Determine t(o(g)).\nAnswer: 112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 151 in descending order.\nAnswer: 151, 19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -4 - -2) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 2\/23, 0, -3\/7, -0.4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9172540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 51*h - 437. Calculate the remainder when 756 is divided by g(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4738, 4747, 4756?\n\"Answer: 9*v + 4729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 3}. What is prob of sequence sa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -12) + 14 + -5 + 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 682 - 656. What is the first derivative of 47*o - 116*o + 71*o + v - 144*o**2 wrt o?\nAnswer: -288*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 120. Let y = d + 36. Is y*(2 - 9\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 16*a - 340. Calculate the remainder when a is divided by (0 - -2) + 10 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 26871595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2403624, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17*q**2 - 4*q - 72. Let o(w) = 17*w**2 + 4*w + 72. Let i(p) = -3*j(p) - 2*o(p). Differentiate i(b) wrt b.\nAnswer: 34*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -988*r**4 + 4*r**3 + 7*r. Let p(f) = 988*f**4 - 5*f**3 - 7*f. Let j(z) = -4*p(z) - 5*v(z). What is the second derivative of j(m) wrt m?\nAnswer: 11856*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12331 + 10?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1 + x**2 + x**2 + (-1 + 1 - x)*(369*x - 174*x - 37*x) + (0*x**2 - 4*x**2 + 2*x**2)*(2 + 1 - 2) in the form h*x + c*x**2 + t and give c.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -534\/3263 in -4, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11543244 + 0?\nAnswer: -11543244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109524*r + 109521*r - 219044*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, p: 2, w: 1, l: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-4) + 2\/(-2). Suppose -3*a + 66 = 4*q, -2*a = -m*q - 22 + 78. Suppose 0 = -5*d + 7*r - 2*r + 5, 5*d + 5*r = q. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 406707356 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -60080 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**3 - x**2 + 3*x + 2. Let k(z) = -z**3 - z**2 + z + 1. Suppose 0 = -27*v + 23*v + 12. What is v*k(h) - j(h)?\nAnswer: -h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 342 - 142. Suppose 286 = -8*b + 302. Suppose b*y + 5*r = 95, -d = -2*y - 3*y - 5*r. Calculate the highest common factor of 35 and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:42 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 532*r - 2123. Determine f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -279\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11923 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 10:44 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*o = 68, 4*n - 6*n + 3*o = -48. What is the highest common factor of 170 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37952 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - f - 5 = 0. Let d be (-166)\/10 - (-2)\/f. Let l be (d\/7 - -2)\/(-1). Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in -80, -2\/5, 5\/6, 2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7478 + -3701. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 1341014*k\/3 - 449579637049\/3.\nAnswer: -(k + 670507)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7181054 weeks in nanoseconds?\nAnswer: 434310145920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose 5*p = -3*d + 335, d + 285 = w*p - 0*p. Let u(g) = -416*g**2 - 2114*g + 5. Let z be u(-5). Calculate the highest common factor of z and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -2693?\nAnswer: 2\/2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 - 6*z + 8. Let b be t(5). Is (b\/(-2))\/((-1)\/6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*h - 262 = 0, 0*h = -2*m + h + 175. Let i(z) = 6*z**2 + 3*z - 1. Let a be i(1). What is the greatest common factor of m and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(180) + sqrt(180) + sqrt(180) + 1) + -3 + 4*-4*sqrt(20)\/sqrt(4) + 5)**2.\nAnswer: 160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 230, -4, 1, -3, 0, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 128*q + 130*q - 21, 0 = -3*b + 4*q - 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2\/2 + 6*i + 4. Let x be t(6). What is the closest to x in 1, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14819685, -14819687, -14819689, -14819691, -14819693, -14819695?\nAnswer: -14819697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 5*w = 9*g + 53, w + 41 = 250*g - 258*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2139 divided by -31.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:33 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {s: 1, o: 1, p: 2, g: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzjygjzmtjjtmttm. Give prob of sequence yt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 8*i - 3. Let t be u(7). Suppose 5*q + t*s - 57193 = 0, 15*s - 18*s - 45742 = -4*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c7a (base 14) to base 2\nAnswer: 1010001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + u - 28 = -4*u, 3*a = -3*u + 24. Suppose 280*y - 212*y = 26044. What is the remainder when y is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*2)\/(1*(-62)\/93)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s + 135. Let p be 38\/(-5) + ((-104)\/(-40) - 3). Determine v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/7 - 1\/7*x**2 - 16\/7*x.\nAnswer: -(x + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tee when three letters picked without replacement from {e: 3, m: 13, t: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -9. Let y be r\/9 + (-4)\/(-3). Suppose -l + 6 = 4*x + l, -3*l = 2*x - 1. What is the closest to y in 0.5, 3, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Suppose l = -q*k + 48, -3*k = -4*l + 2*k + 260. Suppose -3*h + 100 = 4*s - 2*s, -l = -2*h + 2*s. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2f6b43 + 2?\nAnswer: -2f6b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4*m - 25. Let d(x) = -x**2 - 6*x. Let o be d(-5). Suppose -2*z + z + o = 5*s, 4*s = -5*z - 17. What is the greatest common divisor of m and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*o - 15. Suppose o*t = 11*t + 8. Suppose 2*l - 5*h - 56 = -7, -4*l + 68 = -4*h. Solve -3 = b - s + 1, t*s = -2*b + l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*l - 0*l - 8, -2*m = 5*l - 13. Let f be 2\/m + (-408)\/18. Let g = 41 + f. Calculate the least common multiple of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m. Let x be (-4)\/18 + (-8)\/(-36). Let c = x - 1. Let l(n) = 7. Let h(v) = 6. Let j(r) = 6*h(r) - 5*l(r). Determine c*j(z) + 2*y(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**4\/12 - 20*u**3\/3 - 86*u**2. Let p be j(-23). Solve p*z - 2*z + 15 = m, 2*m - 10 = 3*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -242 + 540?\nAnswer: 2ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18325 - 18309.1. Which is the fourth smallest value? (a) -5 (b) 2\/3 (c) 0.3 (d) -4 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 8*v - 69. Let x be i(8). Let j(n) = n**2 - 2*n + 1. Let t be j(3). Let o be (-2)\/(-6)*10\/t. Which is the third biggest value? (a) o (b) x (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3) - 2)*-3. Let q = -2 + h. Suppose -3*n = -q*n + 3. Sort -2, n, 4.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19780 is divided by 3540?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8161643.\nAnswer: 7, 1165949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(15\/40). Suppose n = -g*n + 75. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ibiqbgzzbi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107.1 + 101. Let x = -6 - p. What is the closest to x in 9, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = s + 3*n - 2, -5*n - 2 = s. Solve 11*x = -s*x + 38 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 22 + 10 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*k + 18*k + 42*k + 8*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 278\/7. Let t = -127 - -143. What is the highest common factor of f and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190142?\nAnswer: 2, 95071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 - 121 + 242 + (-2 + 0 + 3)*(-2 - 2 + 2) - 2 - 3 + 7)*(-5*z + z + 3*z)*(-1 - 6 + 9).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 50. Let p = -128 + 134. Is t(p) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4413 is divided by 1395?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o = -83*o + 220*o - 2714 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7365.872 rounded to the nearest integer?\nAnswer: 7366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 218, -4, 2, 5, -302, 1 in increasing order.\nAnswer: -302, -4, 1, 2, 5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1034 - 125348?\nAnswer: -124314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*c - 309 = 320*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253559\/24 - -10565. Which is the second biggest value? (a) 0 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -985 - -987. What is the third smallest value in l, -0.3, -3\/32?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g*g**11)**(-22) assuming g is positive.\nAnswer: g**(-539\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1817 and 74819.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = 0. Let m = -13 - -19. Let v be (-51)\/(-9) - 4\/m. Solve 5*k + 0*p + 10 = -v*p, 3*k + 5*p + 8 = b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1166\/592)\/(19452\/(-51872)).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*i, -3*p = i - 17 - 6. Suppose 17*s - p*s = 3480. What are the prime factors of s?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*g - 4*w - 16, 0 = 5*g - 2*w - 159. Let h be (-2)\/(-8) - (-113)\/(-4). Let t = g + h. Solve -5*y + 8 = -2*s, -4*s + t = -1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -80. Suppose -d = -j + x, x + 97 + 72 = 5*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -781*w**2 - 1177*w + 98416.\nAnswer: -1562*w - 1177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 - 278*i**4 - 51890*i**3 - 3318992*i**2 - 12662144*i - 12459008.\nAnswer: -(i + 2)**2*(i + 184)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(44)*2 + 2)**2 + -2*(0 + 2 + sqrt(11)).\nAnswer: 14*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/(-9))\/((-26)\/(-13))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 106360884 = 2*i - 20*u, 5*i - 3*u - 265902202 = 0. Let k = i - 22680441. Round k to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 495*a**3 - 911285*a**2 + 1802200*a + 36780 = 0?\nAnswer: -2\/99, 2, 1839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -766*g**5 - 3*g - 822*g**5 + 120 - 136*g - 113 wrt g.\nAnswer: -31760*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 8) in base 2?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.25189 (b) 8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1544566 - -0.1021635092. Let s = t + -134.9476793092. Let r = -135 - s. Round r to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 3*i**2 - i + 1. Let a be h(2). Find the third derivative of 4*w**3 - 3*w**3 - 3*w**a + 3*w**2 + 4*w**3 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1280*k + 4820*k - 169920 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(228)*4)\/((1*sqrt(72) + sqrt(72))\/sqrt(6))*-2.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -41. What is the units digit of (-2000)\/75*(-4)\/(8\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 8 + -19 + 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -767*i. Let g(b) be the second derivative of b**3\/6 - 549*b. Calculate g(a(o)).\nAnswer: -767*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a - t, -2*t - 10 = -7*t. Let f(j) = -a + 8 - 636*j - 7 - 4. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 54*r - 56. Let j be n(-26). Calculate the common denominator of 56\/3 and (-654)\/j*-7*9\/(-2268).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 38*v - 60 = 0. Suppose 12*o = v*o - 3512. Suppose -5*x = -41 - o. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*((-7)\/(-210))\/1*3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-322)\/(-35) - 1\/5. Let f(h) = h + 10. Let m be f(-7). Suppose 12 = 4*b, -4 - x = -2*q - m*b. Which is bigger: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222427.\nAnswer: 347, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 3*p**2 - 2*p - 11. Determine v(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 154485, 154474, 154457, 154434, 154405, 154370, 154329?\n\"Answer: -3*v**2 - 2*v + 154490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2449458, -4898915, -7348372, -9797829, -12247286, -14696743?\n\"Answer: -2449457*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n + 11. Let i = -5948 + 5954. Determine h(i).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158933 divided by 310.\nAnswer: 158933\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2518 + -2086. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348*u**2 - 36297*u\/2 + 2274 = 0. What is u?\nAnswer: -1516\/29, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -224\/165 - -12\/11. Which is bigger: c or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/(22035\/5537)*12*(-27)\/(-42)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 39 = 9. Suppose -h = -0*c - 4*c. Let k(j) = -j**3 + 4*j**2 + j - 4. Give k(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.62 + 0.38. Put -1\/6, 2\/31, y in decreasing order.\nAnswer: y, 2\/31, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41 - -1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 218 = 2*q, -7*r = 2*q - 2*r - 216. What are the prime factors of q?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-1\/21)*g)\/g)\/g)\/(g*g**30*g))\/(g*g**(2\/17))**(-5\/4) assuming g is positive.\nAnswer: g**(-43769\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-107696)\/2)\/((-18)\/135). Let j(l) = -135110*l**3 + l - 42 + v*l**3 + 38. Let s be j(4). What is s rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*k - 3*k - 9 = 0, 0 = -3*g - 3*k + 15. Solve 5 + g = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 + -277.9. Let h = z + 40. Let u = h - -4. What is the nearest to u in 3, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 812.7101ml to litres.\nAnswer: 0.8127101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + (-6 - (-6 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500497 is divided by 700.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 29, 49, 75, 107, 145, 189?\n\"Answer: 3*q**2 + 5*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000100611863 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k + 2. Let w = -224 - -213. Let d(r) = -8*r - 17. Let j(y) = 16*y + 32. Let f(a) = w*d(a) - 6*j(a). Give 4*f(z) + 10*q(z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.93 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*k + 102, 97 - 10 = 4*d + 5*k. Let t be -7*(-3 - (-72)\/d). Solve t*i - 2*i = 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 6:27 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34135107, 34135106, 34135105, 34135104?\nAnswer: 34135103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64077421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1697 and 3.21.\nAnswer: -5447.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (21\/(-70))\/((-12)\/(-5)). Let d = -17 + 16. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(((i\/i**(2\/17)*i)\/i*i)\/i)*i*i)**(-1\/41))**(-8) assuming i is positive.\nAnswer: i**(288\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 233138, 233164, 233218, 233300, 233410, 233548, 233714?\nAnswer: 233908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -22 + 3*j**2 - j**2 - j**2 + 0 - 6*j. Let s be w(10). Calculate the greatest common divisor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhi when three letters picked without replacement from {r: 1, q: 3, h: 1, i: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 130*p - 942. What is s(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/8)\/(3510\/(-440)). Does 1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7678 and 572?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -830 or -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1068 - -1152. What is the lowest common multiple of 384 and w?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-24)*(-972)\/(-2700).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 5 = -3*x - 2*d, -4*x + 3*d = -15. Let a be (-1)\/3 - 22\/(-3). Suppose 2*f - 4*q + a = 97, 4*f = -x*q + 202. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 26 = 3*l, -b = 4*l - 3*b + 38. Let x be -1*l\/1 - 0. Suppose -z - 4*w = x, 0 = -3*z - w + 5*w + 28. Solve 0 = -2*i + 4, 3*t - z*i - 9 = -i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 1 (b) 1683 (c) -0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-11)\/(-5) + -2). Suppose -2*v = g, v + m*g = -2*v - 14. Suppose 4*t - 95 = i, 0*i + 5 = 5*i. Solve 3*w + v*d - t = 7*d, 0 = 5*w + 4*d - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -5. Let b(r) = 7*r - s*r - 2*r. Let j(v) = -4*v**2. Calculate b(j(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = 10. Suppose 4 = v*a, 7*a = -r + 4*a + 16. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c2a + b?\nAnswer: -c1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(8) + (sqrt(72) - (sqrt(72) + (sqrt(72) - 2*sqrt(72)) + sqrt(72))))**2*-4 + (4 + -3 + sqrt(2) + sqrt(98) + 1)**2.\nAnswer: 4 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**8\/320 + u**7\/168 - u**6\/120 - 7*u**4\/24 - 12*u**2. Let t(j) be the second derivative of k(j). Factor t(f).\nAnswer: 3*f*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 46*s + 18 = 0. Let o(c) = -2217*c + 2. Let k be o(s). What is k rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in -0.29, -0.11, 2\/9?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (10 - 10 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16215 is divided by 3797?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1819, -1822, -1827, -1834, -1843, -1854, -1867?\n\"Answer: -h**2 - 1818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -fce (base 16) in base 9?\nAnswer: -5485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0535*-0.5365\nAnswer: -0.02870275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*l = 245*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 217120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 63699, 253184, 568457, 1009518, 1576367, 2269004?\n\"Answer: 62894*t**2 + 803*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*x - 5*f, 2*f = -5*x + 21. Suppose 0 = 4*w + 3*o - 17, 8*w - 3*w - 2*o = 27. Put w, 12, x in descending order.\nAnswer: 12, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2650 + -2651. What is the second smallest value in w, 9\/7, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + d**2 + 2*d - 24. Let g be (-6)\/45 + (-14)\/(-105). What is m(g)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10633 is divided by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -2, -4.8, -1\/14, -373?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1350.8391s?\nAnswer: 22.513985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 25*z + 206. Let y(t) = -7*t - 111. Let w be y(-15). Let b be v(w). Solve s + 13*s - b = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/1522299 and -71\/340?\nAnswer: 30445980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5670 and -173\/270?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 175 - 125 = -2*j, -4*q = -2*j + 300. Is 50 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**3*x**2 + 40*i**3 - 4*i**2*x - 200*i*x**2 - 2*i wrt i.\nAnswer: -12*i*x**2 + 240*i - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80845 or -127?\nAnswer: 80845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2868 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1620, 3264, 4924, 6606, 8316, 10060, 11844?\nAnswer: 13674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 822868, 822865, 822862, 822859, 822856, 822853?\n\"Answer: -3*h + 822871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2005421 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)\/z*z\/z**(-9\/2)*z*z)**42 assuming z is positive.\nAnswer: z**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 4. Let p(d) = -2*d - 5. Let l(n) = 2*p(n) - z(n). Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:44 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35995 and 60989615.\nAnswer: 1565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, e: 2, x: 2, l: 4, d: 1}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o + 2. Let d(x) = x**2 + 22*x + 89. Let r be d(-17). Let j = -6 + 10. Solve -h = l + j, o - 5 = l - r*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-136)\/64*8\/(-22) and 53\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 8) to base 6\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77007783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 0)\/(2\/(-1)). Suppose -6*f + f = -k*j - 16, 0 = -4*j - 8. Solve -d - 3*d + 5*b - 20 = 0, -f*b = 5*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 7, -6, -35, -86, -165?\n\"Answer: -y**3 + y**2 + y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 + -64. Let a be -3*(k\/3 - -1). Let l(b) = -b**3 - 8*b**2 - 2*b - 14. Let p be l(a). Solve 2*y + 3*f = -5, -6*y + p*y - 11 = 5*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 212800 = -13*y. Round y to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 28. Let m be 1\/(-3) + 65\/15. Suppose 5*y - m*x - 34 = 4*y, -3*x = 2*y - 35. Calculate the smallest common multiple of p and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/3)\/(((-112750)\/(-4428))\/275)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l + 2*l + (-3 + 3 + 2)*(l - 1 + 1))*(0*l + 2*l - 3*l) + 3*l - 3*l - 2*l**2 + (-2*l - 2*l + 8*l)*(3*l - l - 3*l) as d*l + u*l**2 + y and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3*(-107325)\/50 + -8 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 451 = 11*v. Suppose 5*h - 175 = -5*u, v = 3*u - 2*u - 5*h. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r*r*r*r**19)))*r*r**(-13\/2))\/(r**(-21)*r*r**(-34)) assuming r is positive.\nAnswer: r**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*q + 4, 5 = -0*p - 5*p + 3*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-2) + 261\/(-58). Which is the smallest value? (a) -2\/9 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -3. Suppose -2*j + 3*p - 27 = -21, -3*j + 67 = 5*p. Calculate the lowest common multiple of j and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 147673.849 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 675 = 4*c, 3*b - 4*c - c = 648. Suppose -3*w = 10*w - b. Solve -16*j = -w*j - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16412 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = 0, -88 = -0*f - f + 2*r. Suppose h - f = -h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4576)\/(-19448)*(-1)\/(-2)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 878317999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 5, d: 3}. Give prob of picking 1 d and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6792\/3962)\/((-12)\/(-98)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -9, 4 in decreasing order.\nAnswer: 4, -9, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(1088) + sqrt(1088) + -4 - -1*sqrt(1088)*-1)*4 + 0 + -1)**2.\nAnswer: -1344*sqrt(17) + 17849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let w be h(2). Let s be -118*4\/8*w. Let i = -32 - s. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 12. Let u = -19 + w. Solve -3*f + u = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -291 or -2683?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 19328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -6) + 5 - (-13 + -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.9 - 28. Put o, 24, 0.5 in decreasing order.\nAnswer: 24, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -689 + 1236. List the prime factors of p.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1120*n + 501388. Determine w(-448).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(-2\/7))*x)**(-24)*(x\/(x*x**11)*x)\/(((x\/(((x*x**2)\/x)\/x))\/x*x*x*x)\/x) assuming x is positive.\nAnswer: x**(-461\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2305 + 1737 = -181*k + 3233. Solve -12*m = 15 + k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13405114\/1394748 + (-4)\/2. Let r = t + -1\/38743. Let n = 213907\/20 + -10698. Find the common denominator of n and r.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*q**2 - 2*q**2 - 5*q**2 - 7*q**2 - 4*q**2 to the form g*q + c*q**2 + f and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 divided by 7?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 274791050 to the power of 1\/3, to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 3*y**2 + y**2 + (-y - 5*y + 4*y)*(0*y + 0*y - y) + 32*y**2 - 37*y**2 - 93*y**2.\nAnswer: -95*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4058.3 - -4049.2955. Let w = -21 - -12. Let k = w - o. What is k rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0 - 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 6049*f - 30247. Give m(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -2\/29, -3\/8, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**4\/5 - 12*p**3\/5 - 54*p**2\/5 - 12*p - 21\/5 = 0?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 116.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h + 1. Let d be n(5). Sort 3, 0, d, -1 in ascending order.\nAnswer: -1, 0, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 14*k**2 - 16*k - 2. What are the prime factors of h(-17)?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12337 is divided by 9223?\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let f(p) = -p**3 + 4*p**2 - p + 1. Let d be f(a). Suppose -4*n + 2*n + 28 = 0. Calculate the greatest common factor of n and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.1 + -8. Let o = 0.1 - c. Suppose -32*g + 11*g = 0. Is g at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11828721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2.5, -83, -9\/5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 25c61b (base 15) to base 3\nAnswer: 10102010222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j + 1. Suppose -5*a + 8 = -a - 2*c, 1 = 3*a - 4*c. Let p(n) = 2*n**2 + 3*n + 0*n**2 + 6 + a*n. Suppose h = 5 - 4. What is h*p(i) - 6*b(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43579 is divided by 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10298, 20593, 30882, 41159, 51418?\nAnswer: 61653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-22)*(-24)\/36. Which is smaller: v or -1\/8254?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 6*l + 60. Let k be (-10)\/l*1*-3. Solve 0 = -k*o + 2 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 97 (b) 3\/2 (c) -202 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6*z = 10. Solve k - z = -0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 840, 3381, 7608, 13515, 21096, 30345, 41256?\n\"Answer: -k**3 + 849*k**2 + k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -6*k - 10. Give i(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -172 + 5?\nAnswer: -16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2 - 3*l**5 - l**5 - 27*l + 16*l wrt l?\nAnswer: -80*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*g + 408*g - 251*g = 5432 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + -1.6. Let c = -2 - g. Let z = 12.9 + -13. Which is smaller: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03277764 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 1232?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 3, i: 2, t: 1}. Give prob of sequence iim.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 + 3*j + 2*j**3 - 6*j**3 - 6 - 8 - 9 + 20 as h + f*j**4 + s*j + n*j**3 + c*j**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6 - 5*n**3 - 10 - 3*n**2 - 3*n + 6*n**3. Determine g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.97813 and -0.1.\nAnswer: -3.897813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -2*r + 16. Let s be (930\/10)\/((-3)\/r). Let g = s + -58. Solve 4 = 5*j - g*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63290\/4343 or -14?\nAnswer: -63290\/4343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 16. Let h(k) = -12 - 11 + 8 - k**2 + 10*k**2. Let g(c) = 3*h(c) + 2*i(c). Differentiate g(l) wrt l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*x + 233*x - 9611 = -435. Calculate the remainder when x is divided by 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 12215*q - 68. Let g(n) = 8788692*n - 48928. Calculate -17*g(r) + 12232*l(r).\nAnswer: 6116*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*d = 4*d - 4, 4*d + 20 = -3*k. Let v = 5 + k. Let t be ((-4)\/10)\/((-2)\/10). Solve -t*y = 11 - v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**3 - 66*r**2 - 288*r + 864 = 0. What is r?\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 10. Let k be s(3). Suppose k*v + 5*u = -2, v - u - 10 = -6. Solve -9 = -v*w - 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/196 and 9\/7052482.\nAnswer: 691143236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.945804 + -0.054236. Let a = -1 - f. Round a to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 299 = 671 - 330. Let f be 5 + 2\/(2*1). Let w = b + f. Solve o - 4 = -w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1411606733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-72) + (-32)\/144?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 - 0.74135022.\nAnswer: -980.74135022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -24\/7*h - 3\/7*h**4 + 12\/7 + 9\/7*h**2 + 6\/7*h**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 60.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 12*(-10)\/(-20). Let h be (-10)\/(-24) + 15\/(-20) + 8\/12. Factor 0 - i + h*i**l.\nAnswer: i*(i - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 + 11 - 4*h**4 + 2*h**3 - 13 + (2*h**3 + 5*h**2 - 5*h**2)*(12*h + 11*h + 37*h) + (-1 + 1 + h**3)*(-3*h + h + 0*h) - h**4 - 2*h**4 + h**4.\nAnswer: 117*h**4 + 2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/3 + 2*y**3\/3 + 55*y**2\/3 - 200*y\/3 = 0.\nAnswer: -8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 7919793.9 and 0.04694.\nAnswer: 7919793.94694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - -1)\/((-6)\/3504*-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*r = 177*r + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*j + 59*j + 93*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2165 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose 4 + p = -2*q. What is the remainder when 28 is divided by (-18)\/(1 + -2) + q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50132*1857.\nAnswer: 93095124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1751, -3532, -5327, -7142, -8983, -10856?\nAnswer: -12767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1168*u - 1014*u = -1232 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)\/z**(5\/2))\/(z**(-2\/7)*z)**(-40)*(z**(4\/9)\/(z*z**(-2)*z))\/(z**(-1)\/z*z)**(-26) assuming z is positive.\nAnswer: z**(64\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -58248313?\nAnswer: -58248309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 19 = 4*n. Let w be (0 - 5)\/(2 - 1). Sort 10, w, n in ascending order.\nAnswer: w, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12136605 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 - 2*a - 2. Suppose 0 = g + 4*v + 3, 0*g + v - 3 = -4*g. Suppose -3 = k - g. Is t(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/15))**33 assuming g is positive.\nAnswer: g**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 + -6.01. Let j = p + 11. Let i = 10 + -6. What is the nearest to -1\/4 in -0.3, i, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*j + 425 = -36*j. List the prime factors of (j\/(-10) + 6)*(0 + 2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 42.2. Let h = 11 - 9. Let n = -1 + h. Which is bigger: n or y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444736188 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: Calculate the highest common factor of 640 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 25. Let p be 40\/a + (2 - 4). Let b = p + 22. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 52\/3 + 56\/3*x + 4\/3*x**2 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 15\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42274?\nAnswer: 2, 23, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.4, -0.5, 22, 1\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116 is divided by 175.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 10:26 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56968, -57005, -57042, -57079, -57116?\nAnswer: -57153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.294 + -0.3\nAnswer: -1.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -93*p + 5396. Let t be z(58). Suppose 20 = 6*m - m. Suppose -5*q = -q - m. Solve t + q = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 3.02. Let p = 27.1 + -27. Which is the nearest to -7? (a) p (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -107*m**6\/30 + m**5\/10 - 7*m**4\/6 - m**3\/3 - 1417*m**2\/2 + 188*m + 6. Find the second derivative of i(r) wrt r.\nAnswer: -1284*r**2 + 12*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1257 times -182032\nAnswer: -22881.4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 3 = -12*p. Solve -3*l - p - 3 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 51, 52, 53, 54, 55?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 940814 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.89 and -137.\nAnswer: -133.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6788, 0, -4, -3, -158 in increasing order.\nAnswer: -158, -4, -3, 0, 6788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.069 - -6.131. Let z = 3.2 - l. Let m = -1.2 - -0.2. What is the nearest to m in z, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2549*t + 2551*t - 3*p - 12, -4 = -t + p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/72 + (-7 - 390\/(-54))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 92120 = 134708. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, -0.4, 0.01, -0.044, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + (-16 - -35) + -1 + -16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 2. Let r(h) = 18*h**2. Determine i(r(f)).\nAnswer: -648*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/27 - -9)\/(2\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 - l**4 + 3180*l + 85*l**3 - 402*l + 2*l**4 - 88*l**3 to k*l + o*l**2 + f*l**3 + y*l**4 + m and give k.\nAnswer: 2778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -480.054295 to one dp.\nAnswer: -480.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41210 and 973190.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 102\/7, -21, -2, 37?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19 + (-4 - (1 + -3)). What is the units digit of a\/(-4) - (-5)\/(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444703.7kg to grams.\nAnswer: 444703700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 328 = 2*t - 324, 0 = -5*d + 5*t + 50 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + -1)) + 2 + sqrt(19) + sqrt(19))**2 + (sqrt(19) - (sqrt(171) + 0 + sqrt(19))).\nAnswer: 9*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 4*j**2 - 2*j - 5. Let q = -709 + 714. Suppose q*o = 2*u - 18, 3*o - 6*o - 7 = -5*u. Give n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 4, e: 4, u: 4, o: 3, p: 3}. Give prob of sequence eus.\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.6336 (b) -34 (c) -2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152.199 + -152. Let l = y - 19.199. Which is the closest to 0.2? (a) -2\/5 (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -1, -438, 3, 0 in descending order.\nAnswer: 12, 5, 3, 0, -1, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b (base 12) to base 6.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 26 + 179 = 3*c, 0 = 5*r + 20. Suppose 47*y - c*y = -152. What is the remainder when 56 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 + -58 + -1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zozozdozzzceoo?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(960))\/((sqrt(5) + sqrt(5)*-2)*1).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15157155 by 3031431.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2908 + 3038. Calculate the greatest common divisor of 1898 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.109 + 0.0948. What is s rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 11*q**3\/6 - 2*q. Is b(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (82 - 117 - 107 + 2*u)*(-11 + 9*u + 11) to the form s*u + z*u**2 + b and give s.\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 24. Let n be (-8)\/(-20) - (-18)\/5. Calculate the smallest common multiple of o(n) and (140\/(-21))\/((-2)\/3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1501*n**2 + 388638*n - 388638*n.\nAnswer: -1501*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3 + 4*k**2 + 1 - 6*k + 3 + k**3. Suppose -1 = -3*a + 71. Suppose t = -2*t - 3*b - a, 3*t + 9 = 2*b. Calculate r(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.1, 1\/2, 1\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110030396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/11))**15\/(a**(-21)\/(a\/(a*a*a**(4\/5)))) assuming a is positive.\nAnswer: a**(1731\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*i - 541 = 425 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-4)\/(-2))\/4. Let c be (0 - 2)*(100\/(-48) - -2). Is c at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1206, 1205, 1204, 1203?\n\"Answer: -m + 1207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*x = 8*f - 21, 5*x = -f + 15. Let w = f - 2. What is the first derivative of 4*y**4 - y**3 - y**4 - w + y**3 wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64236 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {s: 3, m: 7, y: 2}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.795013251 + 27.795. What is h rounded to 7 decimal places?\nAnswer: -0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zll when three letters picked without replacement from {v: 4, z: 4, l: 11}.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -689*j**7\/42 + j**6\/10 + 201*j**4\/2 + j**2\/2 - 2081*j. Find the third derivative of n(o) wrt o.\nAnswer: -41340*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 + 27\/5. Suppose 0 = d*j - 1 - 4. Let i be (j\/(-14))\/(3\/12). Which is smaller: -2\/5 or i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxxxxxxxvx. What is prob of picking 3 x and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 2\/15, 2\/3, 6, 0.3 in ascending order.\nAnswer: -2\/17, 2\/15, 0.3, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 746\/3 - 249. Let n = 0 - 0.3. Let v be (2 + -1)*(-2)\/6. Which is the closest to v? (a) -1 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24876 + -5?\nAnswer: 24871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:12 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690 bigger than 2695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwzwwzwwwww. What is prob of picking 2 z and 1 w?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 813149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 476859 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213 minus 2315442?\nAnswer: -2316655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -561 + 1628 + 1551 = -154*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 634.6 + -631.7915. Let t = h - 2.8. Round t to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 31*f - 218 = 10, 3*g - 4*f + 28 = -4*f + 2*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1213*z - 2549*z + 1238*z as r*z + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -69*n. Suppose 2*s - o - 21 = 0, 5*s - o - 36 = -4*o. Let v(c) = 12 - c**2 - s - 3. Determine u(v(r)).\nAnswer: 69*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + z**2 + 29 - 3*z**2 + 7*z**2.\nAnswer: 5*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 435*z - 163. Let n be u(25). Suppose n = 20*j - 5128. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-16)\/(-50))*(-120)\/(-300).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 - 615*k**4 + 18438*k**3 - 81588*k**2 + 125016*k - 61248 = 0. Calculate k.\nAnswer: -232, 1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5556 is divided by 658?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1772 = -18*r - 2132 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -448, -445, -442?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 974 - (120\/12 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - 5805?\nAnswer: -57ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7747271, 15494541, 23241811, 30989081?\nAnswer: 38736351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/((-2)\/42). Which is smaller: x or 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -5, -6 in ascending order.\nAnswer: -6, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, a: 3, m: 1, l: 1, u: 8}. What is prob of sequence my?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l + 42 = 4*k, 4*l = 4*k - 84. List the prime factors of (-6)\/k - 568\/(-28).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**8\/10080 + i**7\/2520 - i**6\/240 - 37*i**5\/60 - 7*i**2 - 8*i. Let p(r) be the third derivative of u(r). Give p(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fydffnfpf. Give prob of picking 1 f and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.333 + 0.067. What is the biggest value in 0.02, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0.05, -2\/77 in decreasing order.\nAnswer: 16, 0.05, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5919009 and 2123197.\nAnswer: 6827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -1021199812.\nAnswer: -1021199817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283371 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**3 + 0 + 2\/3*j**5 + 2\/3*j + 8\/3*j**2 + 8\/3*j**4 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 142\/6*(-12)\/16. Let g = 931\/52 + m. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 16\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.11. Let p = 0.13 - n. Let y = 1.34 + -0.34. What is the nearest to -0.2 in p, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15*39\/(-26)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -17917*(-12)\/(-25) - 5. Let s = -8603 - l. What is the common denominator of s and -17\/35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(1\/11 - (-15792)\/(-172986)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j - 5. Let b be c(5). Suppose 0*q - 3*t + 3 = -b*q, 1 = t. Solve -5*z + q = -10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -t - 3 + 11, 3*s + 9 = 0. Let q(l) = 4*l + 5. Let m(v) = 3*v + 1 + 2*v - 1 + 6. Let p(x) = t*m(x) - 6*q(x). Let h(c) = -14*c. Determine p(h(y)).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37506 by -15.\nAnswer: -12502\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12451301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773787 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, -87, -158, -251, -372?\n\"Answer: -q**3 - 2*q**2 - 42*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.934 + -14.934. Suppose -3*t - 15 = 2*t. Sort 3, t, -1, n.\nAnswer: t, n, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueuueueugeguueu. What is prob of sequence gg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 10*k**2 - 13*k + 11. Let o be a(8). Suppose -5*u = 4*w + 34 + 47, 3*u = w + 33. Let d = o + w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/50740 and -85\/12.\nAnswer: 152220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346598?\nAnswer: 2, 7, 19, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 + 19*v**2 + 628*v - 3431. Give h(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8061, 8060, 8059, 8058, 8057?\n\"Answer: -g + 8062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 1, k: 1}. Give prob of sequence kl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(7*h**3 + 0*h**3 + 5*h**3) - 3*h**3 + 3*h**3 + h**3 - 2*h**3 + 4 - 4 + h**3 + h**3 + 0*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -18. Let h(v) = -2*v**2 + 4*v. Let k(j) be the second derivative of -j**4\/3 + 4*j**3\/3 + 10*j. Let r(x) = n*h(x) - 3*k(x). Solve r(z) = 0 for z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -295*n - 319. What is the thousands digit of i(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1541894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24143*392\/490*15\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-5) + 57\/(-15). What are the prime factors of ((-2)\/6)\/(t\/72)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289264 by -36158.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 46.6. Let i = -10.6 - v. Let g = i + 8. What is the biggest value in -4, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 2*h**2 - h - 4. Let a be s(2). Let p be (-216)\/(-84) - 6\/a - 0. Suppose w = z + 3*z - 99, 0 = p*z + 4*w - 60. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 68529 = 4*h, -6*b = -5*b - 2*h + 22841. What is b rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3\/2 + 21\/4*s**3 - 21\/4*s + 9\/2*s**2 - 3*s**4 = 0.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -294 + 289 - 2*h - 4*h + 4*h. Give x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/12*(-16)\/(-6). Let y be 3\/2 + (-34)\/4. Let g be (-9)\/y + 4\/(-14). Is v > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 4:33 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.22, -3, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/10 - (3 + 31558\/10). What is z rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 96\/18 - (-2)\/3. Suppose b*m = -m - 24. Calculate the common denominator of (-80)\/25 - m - 167\/(-35) and -47\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 806.8865 decades to years.\nAnswer: 8068.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u**2 - 7*u + 16. Is t(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4, 0.52, -6, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 2. Let g be f(-4). Let u(p) = -g*p - 2*p**2 + 2*p. Let d(c) = -16*c. Let q(o) = 13*o. Let h(i) = 3*d(i) + 4*q(i). What is u(h(j))?\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-39)))\/y*(y*y**33)\/y)\/(y**10)**17 assuming y is positive.\nAnswer: y**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9556294cm?\nAnswer: 9556.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*r - 24*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16645*a + 8265*a + 18 + 8355*a - 19.\nAnswer: -25*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*m**3 - 143*m**3 - 86*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (520*x**3 + 570*x**3 - 1658*x**3)*(-5 + 30 - 6 - 8).\nAnswer: -6248*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*r - 159278, 1547*r - 1549*r + 63710 = -2*j. List the prime factors of r.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -575, -864, -1155, -1448?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*k - 35 = 0, 0 = 5*k + 1 - 21. Solve 33 - 22 = l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95684 and 10?\nAnswer: 478420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10074 and 146.\nAnswer: 10074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -537 + 123?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -849*n + 112714. Give i(133).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50267 + -1407153\/28. Let a = n + -45\/4. Factor -4\/7 - a*g**2 + 6\/7*g.\nAnswer: -2*(g - 2)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 15446*x - 15446*x + 20*x**2.\nAnswer: 20*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 479625241 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-65)\/(-15) + 1. Let y(z) be the third derivative of 0*z + 1\/24*z**4 + 2*z**2 + m*z**3 + 0. Differentiate y(a) with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microsecond in nanoseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*m**2 + 165 + 2*m**2 - 207 as r + i*m + b*m**2 and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/18)\/((-44)\/6 + 7). Which is the nearest to j? (a) -0.4 (b) 2\/27 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -121, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.549 + -11.5. Let x = y - 1.379. Round x to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 31\/9)\/(-2 - (-3 + 2)). Which is the third smallest value? (a) -0.02 (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7221*b - 7636*b = 4565 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l**3 + 911929430*l - 911929430*l.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3038385 and 8645.\nAnswer: 39499005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1335, 1294, 1339, 1512, 1855, 2410?\n\"Answer: 7*x**3 + x**2 - 93*x + 1420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/((-18)\/316)*-3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890767 is divided by 889?\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127139034, 127139033, 127139032?\nAnswer: 127139031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 10:56 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6*b. Let m(q) be the third derivative of q**5\/60 - 7*q**4\/24 + 3*q**2. Let g be m(5). Let w be (1\/2)\/((-1)\/g). Determine l(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**3\/6 + 5*k**2\/2 - 4*k + 6. Let v(o) be the first derivative of r(o). Let j(x) = -3. Give 5*j(g) + 3*v(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u. Let w(i) = -1. Let d = 6 - 7. Let c(o) = d*z(o) - 4*w(o). What is c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542050690 divided by -271025345?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29772*d + 16416 = 29988*d for d.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*d = 179*d - 87*d - 120. Suppose 0 = 3*u + 3*y - 6, 0*u + 4*y = u + 8. Suppose 4*t = -u + 4. Which is the nearest to -2\/7? (a) d (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.66781366 to one dp.\nAnswer: -354.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 5 in ascending order.\nAnswer: -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345674131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from phuil?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377.04 - -371. Let j = 5 + h. What is j rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709457 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 57. Suppose -49 = -3*q - l, -4*q - t*l = -q - 34. Suppose m + 12 = 4*m. Calculate the least common multiple of m and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g + 3. Let p(r) = -3*r - 68. Let q be p(-24). Determine f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 2*v + 26, 20 = 5*v + 2*f. Suppose v*a + 6*u - 9*u - 1828 = 0, 0 = 3*a + u - 2742. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.11 (c) 3 (d) -4\/9 (e) -0.18 (f) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 32 - 86 + 21985*k + 19 + 18 to v + z*k and give z.\nAnswer: 21985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120445 = -57722*q + 56305*q for q.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3260 + -2980. What is the greatest common divisor of 200 and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 26. Suppose 0 = 65*b - 58*b - 210. What is the greatest common factor of n and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 - 11*z**2 - 3*z - 18. Let g be u(-6). Let y be g\/(-44) + -6*6\/(-36). What is the third smallest value in -2\/3, y, 9\/31?\nAnswer: 9\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 7*q**2 - 2*q + 4. Let l be t(5). Calculate the greatest common divisor of l and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*k + 12. Suppose 5*j + 3 = 2*r - k, -3*j - 5*r = -28. Let y(n) = 3*n**2 + 6 - 3 + n**2 - j. Let v(l) = l**2. Give v(y(b)).\nAnswer: 16*b**4 + 16*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 - 12*c - 6. What are the prime factors of r(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2392183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 22*t**3 + 20*t**3 - 5 - 5 + 4.\nAnswer: 42*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89436550 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53612, -53374, -52978, -52424, -51712, -50842?\nAnswer: -49814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3590203*m**5 + 63*m - 4046?\nAnswer: 71804060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2450386 (b) 5 (c) 0.8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22330 + 21350?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67 + -4?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 58.13705 grams?\nAnswer: 58137.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**2 + 2*s**2)*(s + 4*s - 3*s) - 3*s**3 - 5*s**3 + 3*s**3.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g**2 + g - 2*g**2 - 20*g**2 as z*g + c*g**2 + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**4 + 4*o**3 - 20188*o**2 - 2081528*o + 2 wrt o?\nAnswer: -36*o**2 + 24*o - 40376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6 + 2. Suppose 2*u + 55 = o*t + 5*u, 52 = 2*t + 2*u. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let a(d) = 9156*d. Calculate a(b(k)).\nAnswer: 18312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*x - 1116*x - 83*x to the form u + q*x and give q.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -19307563, 5, -2 in increasing order.\nAnswer: -19307563, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24038 and 3?\nAnswer: -72114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (315 + -320)\/((-1)\/((-1)\/(-1))). Solve r - v + 5 = 0, n*r + 3*v - 10 = v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*j**2 - 8*j**2 + 2*j**3 + 6*j + 5*j**2 + j**2 + 4*j**2 - 2.\nAnswer: 2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 800619 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 1\/7 (c) 1 (d) 0.2 (e) -0.0217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*f + f. Let m = f + 5. Calculate the remainder when 38 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:17 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114.118 - -35.252. What is u rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*y**4 - 28*y**4 + 24*y**4 + (-y**2 + y**2 - 4*y**3)*(14 + 7*y - 14) as x + g*y + q*y**2 + c*y**3 + u*y**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:09 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 164 + -86 + -79 + (40 - (-6 + 3))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-117)\/130 + ((-2)\/4)\/(-1). Let f be 38\/(-57) - (6\/4)\/(-3). Which is the third biggest value? (a) 2\/3 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1763159998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o - 322. Let p(h) = 2*h + 8. Give p(a) + r(a).\nAnswer: -5*a - 314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -172. Calculate the smallest common multiple of 28\/35*(-7 + (-721)\/(-28)) and u.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -3669, 150 in ascending order.\nAnswer: -3669, -65, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**7\/7 - 3*y**3\/2 - 5*y - 10. Let a(h) be the first derivative of w(h). Find the second derivative of a(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 10502*p - 271700.\nAnswer: -2*(p - 5225)*(p - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122 + 32?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 54 - 51 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 <= 239\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1639599347 to 3 decimal places.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 738, 1743, 3160, 4995, 7254, 9943?\nAnswer: 13068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -5, 3, 167, 5 in ascending order.\nAnswer: -5, 3, 5, 35, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594.066 micrograms in tonnes?\nAnswer: 0.000000001594066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.748204 nanometers in micrometers?\nAnswer: 0.001748204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 + 813*u + 3297. Give m(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**3 + 6*x**2 + 5*x - 53. Let m(g) = 3*g**3 + 5*g**2 + 4*g - 51. Calculate 5*i(j) - 6*m(j).\nAnswer: 2*j**3 + j + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x + 17*x to b + p*x and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.1 (c) 2\/9 (d) 3 (e) -44648 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**6*h*h)\/(h\/(h*h**8))*(h**10\/h)\/(h*h*h\/((h*h**(-14)\/h)\/h)))**14 assuming h is positive.\nAnswer: h**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03594 + 1.2.\nAnswer: 1.23594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370039.1 tonnes to grams.\nAnswer: 370039100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 take away -976.69364?\nAnswer: 1057.69364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 88 = -4*i. Calculate the remainder when 41 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssntttnttstssnsts. What is prob of sequence tsn?\nAnswer: 49\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 19 - 4*g**2 - 64 + 23.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.7 - -18. Let w = -0.3 - y. What is the nearest to -1 in 0.3, -4\/3, w?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22884.73585376 - 23016.73585. Let w = b - -132. What is w rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nononnonol. What is prob of sequence nlo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -6537, -3, 367\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, 270, 1365, 3252, 6135, 10218?\nAnswer: 15705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1824, 3356, 4888, 6420, 7952, 9484?\nAnswer: 11016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*v - 40, 2*p - 4*p = -2*v + 28. Solve -14*w - 108 = v*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35\/14)\/((-3)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose -2*i + 3*j + 6 = -j, 0 = w*j - 4. Let g(r) = -r**3 + 7*r**2 + 3. Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-182))\/(1\/7)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1477121, 1476841, 1476561?\nAnswer: 1476281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240\/200*25\/9?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12984\/53 - -245. Let h = u - -49\/212. What is the closest to h in -3\/4, 0.4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*60\/(-36)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -5 + 4 + 9\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:08 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*r + 27*r**4 - 42*r**2 - 25*r**4 - 16*r + 65*r**2 - r to the form b*r**2 + d*r + v*r**4 + n*r**3 + z and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -k + 2*k. Sort 0, 4, k in increasing order.\nAnswer: 0, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 0 - (-1 - -4)) + 6. Solve -y = 2*d + 2*a + 6, 2*a + 9 = d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n - 22*n**2 - 29*n)*(0*n - n + 3*n) + (2*n**3 + 0*n**3 - n**3)*(4 - 2 - 10) + (2*n**2 + n**2 - 5*n**2)*(-3*n + 4*n - 3*n) - n + n - n**3.\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6257976357 minus 0.2?\nAnswer: -6257976357.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1111314 divided by -2.\nAnswer: -555657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + x**2 - 2*x - 2. Let k be w(-1). Suppose k = -h + 6. Solve c = 3*c - h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -1\/21, -2\/495?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 - 82 = -3*b + 2*q, -6*q + 30 = -2*b for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/3 + -4)*12. Let g = 71 + z. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*r + 40*r + 230736. What are the prime factors of r?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*j + 24*j + 391*j - 59*j.\nAnswer: 217*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 813*a**2*x + 2*a**2 - 17*a*x - a + 8*x + 107863 wrt x.\nAnswer: 813*a**2 - 17*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5454 and 9085758?\nAnswer: 81771822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (400\/(-192))\/((-160)\/(-576)).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-12)*g)\/(g*g**(7\/4)))**(1\/62)*g*g**4*g*g**1*g*g\/g**(4\/5)*g*g**(3\/5) assuming g is positive.\nAnswer: g**(12397\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c + 9. Let p be (4\/(-2))\/(2\/(-5)). List the prime factors of ((-20)\/25)\/(c\/p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 34. Let i(x) = -x**3 - 6*x**2 + 7. Let l be i(n). Suppose -5*g + 5*t = -5, l*g - 7 = 4*g - t. Calculate the remainder when 3 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11 - 12\/11*j**2 - 18\/11*j - 2\/11*j**3.\nAnswer: -2*(j + 1)**2*(j + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.25271262 from -1133082.\nAnswer: -1133082.25271262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 35909*q - 107608. Calculate c(3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -59*x**3\/3 - x**2 + 496. Let m(q) be the second derivative of -q**4\/12 + 3*q. Give g(m(s)).\nAnswer: -59*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -709 - -712. Let d(p) be the first derivative of 0*p + 2\/3*p**s - 1\/4*p**4 + 2 - 1\/2*p**2. Factor d(b).\nAnswer: -b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/r**1)\/r)**(-2\/49))**4)**1 assuming r is positive.\nAnswer: r**(8\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - -5 - 11*5. Sort -1, 5, l.\nAnswer: l, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*y + 42 = 3*c, -122 = -5*y + c. Suppose -5*p = -5, 6*k - 8 = 3*k + p. Suppose 0 = -k*r + 4*v + 128 + y, 4*r + v - 171 = 0. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-15 + 7 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196, 393, 578, 745, 888, 1001, 1078?\n\"Answer: -l**3 + 204*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, o: 1, u: 1, t: 1}. What is prob of picking 3 s?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 720\/11, -0.06 in decreasing order.\nAnswer: 720\/11, 5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(272)*6)**2 + sqrt(2057)*1.\nAnswer: 12*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.475, -2\/13?\nAnswer: 0.475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.306 and -0.08191.\nAnswer: -0.02506446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + -13. Let q be 5\/(s\/(-3))*20. Let r = q - 5. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1853\/16 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/25 (c) 1\/160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31392 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*w + 5*w. Let g = 0.6 - 2.6. Let t = -266 - -267. Which is the closest to t? (a) g (b) w (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*sqrt(6)\/sqrt(2).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -193\/10 + 893\/50. Is -2 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -14. Let o be 230\/(-8) + r\/18. Let g = -86\/3 - o. Sort -5, g, -1 in descending order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/3506 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 >= -237\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*b**2 + 1893*b**2 - 637*b**2 - 638*b**2 - 33*b + 33*b.\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10275, 20735, 31195, 41655?\nAnswer: 52115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 200994630149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and (-40)\/(128\/(-16) - -7).\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = -2. Let l = 1 + n. Find the third derivative of 6*p**3 - 2*p**2 - 3 - 10*p**3 + l wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5822, -11643, -17464, -23285, -29106, -34927?\nAnswer: -40748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-8)\/p)\/p)\/p)**7*p\/(p\/(p*p**38\/p*p))*p*p**48*p assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04123 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 25698 = -a - 25683, 0 = 2*a - 2*k - 18 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4320717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -0.5, -22, 0.04, 5, 0.4.\nAnswer: -22, -0.5, 0.04, 2\/19, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 6 = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17*n - 4. Let f be g(-2). Let w = 96 + f. Calculate the remainder when w is divided by (-36)\/(-2) + -6 + (5 - 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v**2 + 6*v**2 - v**2 - 13 - 20*v**2 + 7*v**2.\nAnswer: -2*v**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzr when three letters picked without replacement from {h: 3, z: 3, n: 6, r: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000141773287 rounded to six decimal places?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 9. Let k = -55 + 50. Let y be (-24)\/15 - -1 - 18\/k. Let p(b) = -3*b - 5. What is y*c(x) + 5*p(x)?\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i + 2*o = 43, -5*o = 5. Let l be 532\/36 - 2\/i. Let q be (0 + -8)*l\/20. Sort q, 2, 1 in descending order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 - o**4 + 0*o**2 - 2*o**3 - 50 + o**2 as j*o**3 + x*o**2 + q + z*o**4 + u*o and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-805)*(-6)\/36*-6?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - m**2 + m - 1. Let v be g(1). Let d(b) = 2*b**2 + 4*b**3 + 6*b**3 + 4 - b**3 + 3*b - 3*b**3. Does 22 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738255 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: Calculate ((-22)\/(4928\/(-532)))\/((1*-1)\/(-4)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-20)*20\/2. Suppose b - f*b + d = -16, 0 = 2*b - 3*d + 2. Suppose 3*u + 4 = b*u. Are u and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/3 - 596*c\/3 - 590 = 0.\nAnswer: -295, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 29*l**2 + 21*l + 63. Let c be i(-30). Let s(k) = -170 + 6*k + 3*k - 163 + c. Let j(r) = -17*r. Calculate j(s(f)).\nAnswer: -153*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -13\/5 (b) -3\/2 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4171\/582*(126\/(-35))\/(-9)*15\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124673988 to the power of 1\/3, to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*d + 27, 3*b = -0*b - 2*d + 146. Let c be 6\/(-39) - -1*320\/b. Solve c*r + 3 = 7*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*5*(-2)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -f - 3*f + 96, -f = -b - 24. Calculate the greatest common divisor of f and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 - 8 = 0. Suppose -p*n + n = -232. Suppose -n = -5*c - 6. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j - 2\/11*j**2 + 2 - 2\/11*j**4 - 2\/55*j**5 - 10\/33*j**3. Factor c(u).\nAnswer: -2*u*(u + 1)**2*(u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8811434.46 + -272528.\nAnswer: 8538906.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 16 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*u**3 - 157*u**3 + 288*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 32*b**3\/11 - 27046*b**2\/11 - 218032*b\/11 - 29784 = 0.\nAnswer: -6, -2, 13651\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.38*445445\nAnswer: -169269.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002268672 rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000043227 to 7 dps.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 10*g. Let j be y(-11). Let h = 1 + j. Solve 4*w = 2*d - h, w - 6 = 3*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 5 + n**2 - 6 + 0*n**2 + n**4 as t + l*n**4 + m*n + w*n**2 + d*n**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1572 times 0.1\nAnswer: -157.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507036 or 507042?\nAnswer: 507036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820 > -1820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 0 + 16\/3*g**2 + 2\/3*g**3 + 32\/3*g = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18981, 18970, 18957, 18942, 18925, 18906?\n\"Answer: -p**2 - 8*p + 18990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 467 = 773. Let l be (31\/8*-2)\/(62\/q). What is the common denominator of (1 + l\/30)\/1 and 187\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = 65. Let k = 5 + r. Let d be k\/48 - 5\/6. Let q(x) = -11*x**2 - x - 1. Give q(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2377521 is divided by 1218.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 49*i. Give j(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/477405 and -35\/1623177?\nAnswer: 8115885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2835000 divided by -6\nAnswer: -472500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 204*c**3 - 19*c**3.\nAnswer: -223*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4205, -9336, -14467?\nAnswer: -19598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x - 2. Let q be p(4). Let d(t) = -3*t**3 + 9 + 4*t**3 - 2*t**3 - 7*t - 9*t**q + t**2. Let a be d(-7). Round a to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595119149 is divided by 243.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -9, -2471850\/13 in increasing order.\nAnswer: -2471850\/13, -9, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1)*((-693)\/54)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = 3. Let f be h + (-2 - 12\/(-3)). Suppose -39 = -7*p + f*p. What is the remainder when 25 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2. Let f(z) = 3*z + 25*z**2 - 7*z + 4*z. Determine f(r(j)).\nAnswer: 100*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1863, -7591, -17299, -31107, -49135, -71503?\nAnswer: -98331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4430, -20149, -46348, -83027, -130186?\n\"Answer: -5240*u**2 + u + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 37*v - 117. Give b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/1512 and 63\/1256.\nAnswer: 237384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -3*m**5\/2 - 71*m**4\/12 - 23*m - 2. What is the third derivative of z(q) wrt q?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3.6, 3, 35, -0.2, -9.7 in decreasing order.\nAnswer: 35, 4, 3, -0.2, -3.6, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -1. Find the second derivative of 0*n**4 - 2*n**4 - 4*n + g*n wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -24. Suppose 2*k - 10 - f = 0. Let d = 34 - k. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3*q**2 - 2*o**3*q - 5*o**3 - 2*o + 28*q**2 wrt o?\nAnswer: -6*o*q**2 - 12*o*q - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18 - ((-16)\/56 + (-46)\/(-14)). Calculate the common denominator of (-212)\/(-28)*y\/90 and 71\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.9. Let n = 3.9 + 0.1. Let t = -3 + n. What is the nearest to t in 1\/3, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 125316*y**3 + 81101232*y**2 - 17617907184*y + 1277976058128.\nAnswer: 3*(y - 41118)*(y - 218)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a*h*m**3 - a*h*m**2 - 2*a*m**2 - 8*h*m**5 - 11*h*m**3 + 6*m**2 - m wrt m.\nAnswer: 6*a*h - 480*h*m**2 - 66*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-22)*o*(o\/((o**18\/o)\/o))\/o)**(1\/6) assuming o is positive.\nAnswer: o**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1340\/312 - (-54)\/1404.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -73\/2. Let t = 0.04 + -0.34. Let o be (-2)\/(-4)*3\/6. What is the nearest to 1\/2 in o, h, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46441 - 6441. What is n rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i. What is w(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 78\/(-9). Let j be 12\/(-45)*12\/l. Factor -6\/5*h**4 + 0*h + 0 - j*h**2 + 6\/5*h**3 + 2\/5*h**5.\nAnswer: 2*h**2*(h - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -195 - -196. Which is the third biggest value? (a) l (b) -2\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98 by 41.\nAnswer: 98\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9676826*h**3 + 4*h**2 + 9520681*h.\nAnswer: 58060956*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -424661060*b**2 + 153012087*b - 2 wrt b?\nAnswer: -849322120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 28*n. Let i(v) = 66*v**2 - 27. Let u(k) = -5*k**2 + 2. Let m(a) = 2*i(a) + 27*u(a). Determine l(m(p)).\nAnswer: -84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from zaaaaaagaazazaag.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: ((-1440)\/(-912))\/((-6)\/(-76))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -10a2051?\nAnswer: -10a2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 175 and 190.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 + 6*h - 6. Let r be p(4). Solve 9 = -r*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -927, -1474, -1639, -1422, -823, 158?\n\"Answer: 191*x**2 - 1120*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.7 - -73. Let u = -183 + 184. What is the second biggest value in 0.6, l, u, 2\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 26*w + 181. Let s be o(-27). Let z = s - -971. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 215740000 to the nearest one million.\nAnswer: 216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7635149?\nAnswer: 5\/7635149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 74995.64 meters in millimeters?\nAnswer: 74995640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sygdpypyypll. Give prob of picking 2 p and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*q**2 - 18*q**2 + 23*q - 18*q**2 + 41*q.\nAnswer: 2*q**2 + 64*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -8*n**2 + 31*n - 4. Determine v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, 384, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181 and 9225208.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 115, 256, 453, 706?\n\"Answer: 28*l**2 + l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670000 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, a: 2}. Give prob of picking 2 f and 1 a.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 9*u - 17. Let b be k(11). Let a(v) be the third derivative of -b*v**2 + 0 + 0*v + 1\/6*v**3 - 1\/8*v**4. Calculate a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 3\/5 (c) 0.3 (d) 0.01 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1202*l + 62*l**3 + 15*l**2 + 62*l**3 + 1202*l - 122*l**3.\nAnswer: 2*l**3 + 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -2221659.\nAnswer: -444331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 11*b**2 + 10*b + 2. Let y be a(10). Calculate the least common multiple of 11 and 4 + 0 - y - -4 - -2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhw when three letters picked without replacement from {h: 1, d: 5, w: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -1.4. Suppose 3*i = 9*i + 24. Suppose 27 = -2*q - 4*d + 11, -2*q - 2*d = 6. Which is the closest to x? (a) q (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, v: 2, s: 2}. Give prob of picking 1 v and 1 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smk when three letters picked without replacement from {m: 6, k: 7, s: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f = 20*f + 235. Suppose 51*z = f*z + 31160. Round z to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006383 to five dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*g*j**3 - 41*g*j - 3*g - 21*j**3 - 108 wrt g.\nAnswer: 45*j**3 - 41*j - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8573 divided by -930.\nAnswer: -8573\/930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 4*f + 5 - 1 - f.\nAnswer: -f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4\/3 (c) -5 (d) -0.4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Suppose 3*d = -5*i - 110, -3*i + 3*d - 5 = 37. Let n = 24 + i. Which is the closest to n? (a) -1\/3 (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqqqqqccqqqqqcqccq. What is prob of sequence cc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -4344000.6 to the nearest ten thousand.\nAnswer: -4340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -52, 0, -8.02?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 869 + -363. Let x = s - 425. Calculate the greatest common divisor of 63 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:04 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - 2*m + 2*m)*(-9 - 3 - 7) in the form q*m + u and give q.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f + 13*f + 18 = -12*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -89) + 1 + -15 + -13\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 6 = 3*n, 5*f + 5*n - 4 = 7*n. Put -1, f, 24 in decreasing order.\nAnswer: 24, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*q + 8098 = -81*q + 11038 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 82, 83?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from funbyfunnybukb.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 95.87793 minutes?\nAnswer: 1.5979655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40645.\nAnswer: 5, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 4)*23\/2. Suppose -m - 7 = -3*u. Solve 4*o = -4*q - 16, 4*o - q + 2*q = -u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15095 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4334, 4533, 5070, 6113, 7830?\nAnswer: 10389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 84468648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15973 and 688.\nAnswer: 688.15973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o + o)*(3 + 3 - 2)*(-1 - 2*o**2 + 1)*(17 - 66 - 19) to j + k*o + d*o**2 + z*o**3 and give z.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50185 + -50185.00020319. What is d rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(4)*-3)\/(-5*(sqrt(2) - sqrt(2)*-2)) + ((sqrt(396) + (sqrt(396)*-4)**2)*3 - sqrt(396)) + 1.\nAnswer: 61*sqrt(11)\/5 + 19009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -62451*s**4 + 2*s**3 + 8*s**2 - 2916*s + 122?\nAnswer: -749412*s**2 + 12*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 281, 424, 569, 716?\n\"Answer: j**2 + 138*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -108806.10792 rounded to the nearest one hundred?\nAnswer: -108800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + 3*r**2 + 3*r - 2. Let o be i(3). Suppose -2*d - o = -107. Put 0, 4, -1, d in ascending order.\nAnswer: d, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/9)\/((-4)\/(-114)). Suppose 4*a - 2*y - 6 = -0*a, -a = 3*y - n. Suppose 4*c + a*z - 480 = 0, -113 - 8 = -c - 2*z. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 + 6*k + 10. What are the prime factors of f(-6)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143 - -247. Suppose 4*y = -0*y + k. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5634b9 - -2?\nAnswer: -5634b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 1553*r**2 + 422203*r - 241. Give q(-236).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(2\/9)*h\/h**(-7)*(h*h**0)**(-11)*(h**(-1\/6)*h)\/(h*h*h**(-2\/3)*h)*(h**3*h)\/h**(1\/15) assuming h is positive.\nAnswer: h**(19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21 + ((-6462)\/(-126) - 20))\/(2\/14). Let w(x) = 4*x**2 - 6*x + 4. Let h be w(5). Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + (sqrt(637) + 1*sqrt(637)*-4 + sqrt(637))*-5)*2)**2 + -3.\nAnswer: -1528827 - 3360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, e: 4, g: 2}. Give prob of sequence aea.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61389801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Let f = -72 - -76. Solve -u - j + f = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 - 92 + 9)*(2*m - 4*m + m) + 0*m + 3*m + 0*m.\nAnswer: 128*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 + (-6 - (39 + -198)) + -8.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/6 + 114\/36. Suppose -5*v - 2*z + 3*z + 3154 = 0, v + p*z - 618 = 0. Round v to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -95, -210, -339, -488, -663, -870, -1115?\n\"Answer: -h**3 - h**2 - 105*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -1. What is the second derivative of -w*y + 3*y + 6*y**2 + y - y wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 = -18. Suppose 3*z - 316 = 4*m + 186, -3*m + 636 = 4*z. What is the greatest common divisor of s and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 4*k. Let w(m) = -4*m + 4. Let v be w(-4). Suppose -2*u + 4*u - v = k. What is the highest common factor of u and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 6. Suppose 138*z - 128*z = 30. Give b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2. Let g(w) = 72*w**2 + 376*w**2 - 350*w**2 + 673*w**2 + 1168*w**2. Calculate g(a(b)).\nAnswer: 7756*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (33665*f**3 + 29 + 845*f**2 - 845*f**2 - 15 - 14)*(3 - 3 + f) in the form r*f**2 + o*f**3 + i + m*f + d*f**4 and give d.\nAnswer: 33665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 51, 168, 361, 642, 1023, 1516, 2133?\n\"Answer: 2*o**3 + 20*o**2 - 21*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -753852 divided by 6.\nAnswer: -125642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -163, 3, -5649, -2, -1, 0 in ascending order.\nAnswer: -5649, -163, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*l = 21, l + 12 = 1773*s - 1770*s. Solve 2*b + 6 = s*b + 5*z, 5*b = 4*z + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 40 = -10. Let g(o) = 12 - 34932*o + 3 + 34952*o. Let n(r) = -r - 1. Give p*n(s) - g(s).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let g be (-4)\/((-20)\/(-15)*(-12)\/(-8)). Let r be 136\/105 - 2 - (-2)\/15. Which is the second biggest value? (a) g (b) r (c) y (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let n = 5 + 2. Let b = n - t. Solve -b*c - c = -20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157781.947 - 157875. Let z = f + 93. Let l = z - 0.039. What is l rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and -51\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = l - 5, -4*l = 30*a - 27*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 292265159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-12))\/((-3)\/(15\/(-2))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.258 - 1.278. Let s = -74 + 79. What is the second biggest value in s, -4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -2\/3, 0.1, -1\/3, 2942?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - (-2 + sqrt(112)))*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/24*4\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319\/3540 + 2\/295. Calculate the common denominator of 3 + 543\/(-30) - -3 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 31*b - 4458. What is the remainder when 2080 is divided by i(149)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109806360 is divided by 6463.\nAnswer: 6453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2723 (base 8) in base 15?\nAnswer: -696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-3*sqrt(192) - sqrt(192)).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25025 and -990?\nAnswer: 24035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/((-174)\/435).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 1 - 1)*(-2 + 5 - 2) - 4*l - 3*l + 5*l + 5 - 5 - 2*l - 45*l + 15*l + 19*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q - 4. Suppose -16*k = -19*k + 6. Let i be d(k). Let g be (7\/(-4) - i)\/((-6)\/792). Calculate the greatest common factor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18246\/15)\/(52\/(-130)). Let z = -1644 - j. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92883, -92874, -92863, -92850?\n\"Answer: n**2 + 6*n - 92890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3646 and 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 5695?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -25*j - 4*j**2 + 21*j - j**3 - 1 + 0*j**3. Let o be p(-3). Suppose 23 + 7 = w - 4*y, -w - o*y = 0. Solve 5*z = -0*z + w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -1) + 22 + (0 - 28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12375102 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 82896294.\nAnswer: 82896294.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + -18 + -1. Let r = j + 5. Which is bigger: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 13*i + 18)*(-2*i - 4 + 4).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -144*u**4 + 4*u**2 + 15. Let l(n) = 433*n**4 - 11*n**2 + n - 44. Let b(i) = 4*l(i) + 11*w(i). Find the second derivative of b(a) wrt a.\nAnswer: 1776*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84194262 to the nearest 10000.\nAnswer: 84190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -11*m + 29. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 5:45 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/65736 and 25\/8.\nAnswer: 65736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6634769.\nAnswer: 6634769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27981367 is divided by 4197?\nAnswer: 4165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 51110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(4 - 51\/9). Let b(o) = -4*o - 8. Let z be b(g). Calculate the highest common factor of 18 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -4 - -3 - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/((20 - 24) + (4 - 14)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s - 1. Let j = 40 - 38. Determine m(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*j - 91*j + 181*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/9 - (-4)\/(-18). List the prime factors of 168\/9 - 1\/v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 6*a - 2. Let k(s) be the first derivative of s**4\/4 - 5*s**3\/3 + s**2 - 5*s - 1. Let r = 64 - 59. Let w be k(r). What is h(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8 - (-2476)\/(-288)) + (-1)\/(-2) and -139\/96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2*o - 56 = 39 - 31 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 6, b: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/33 - 9*(-492)\/88 and -149\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4747036 plus -11?\nAnswer: 4747025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6 + 4 + 3 - 13*x - 1 - x**2. Suppose -70 = -11*y + 18*y. List the prime factors of n(y).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1113)\/(-2385)*(-54)\/(-903))\/(4*(-6)\/(-40)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 4*z - z + 0*z. Let r(b) = b**2 - b - 3. Let w be r(3). Suppose -d + 0*d = w. Determine k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5 + 13*w**4 - 51*w**3 + 35*w**2 + 100*w = 0?\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1627061138?\nAnswer: 2, 41, 19842209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:06 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 51, 92, 135, 180?\n\"Answer: g**2 + 36*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/15)\/(1\/15). Let z = -40 + 91. Let j be z\/85 - (-14)\/(-10). Which is the biggest value? (a) j (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2119 - -19123\/9. Find the common denominator of (4\/(-10))\/((-8)\/246) and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -30, -3, -5.\nAnswer: -30, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnwg when four letters picked without replacement from {g: 1, n: 2, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4861 is divided by 2429.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4670*q = 4643*q - 107 - 55 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152272.\nAnswer: 2, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 30*t**2 + 5*t - 4*t + 6*t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -7)\/(-13 + (-12845)\/(-980))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 697*l**4\/6 + 133*l**3\/2 + 3*l**2\/2 - 419*l. What is the second derivative of q(h) wrt h?\nAnswer: 2788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269325643 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10645401.\nAnswer: 3, 13, 272959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8 (base 16) to base 6.\nAnswer: -504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9911?\nAnswer: 11, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 25.999968. What is x rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 7*q**5\/40 - 9*q**4\/8 + 8*q**3 + 1. Let a(r) be the third derivative of y(r). Differentiate a(k) wrt k.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k = -4*r - 41*k + 121712, -k + 152131 = 5*r. List the prime factors of r.\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(847) + sqrt(847) + 5 + sqrt(847)*2 - sqrt(847)) + sqrt(847) + sqrt(847))*-3)**2.\nAnswer: 4950*sqrt(7) + 190800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k*o**2 - 142809*k*o + k + 2*o**2 + 1184922 wrt o?\nAnswer: -6*k*o - 142809*k + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + 2*d**2 - 3*d - 2. Let h(p) = -3*p**2 - 16*p + 10. Let w be h(-6). Determine o(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1318.\nAnswer: 3954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**4\/4 + 6*i**3 + 31*i**2\/2 - 10*i + 387. Give w(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/8 (b) 0.2324 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55368189 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/67392 and -17\/80.\nAnswer: 336960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - o**3 - 9*o**3 + 3*o**3 + (-1 + 2 - 2)*(3*o**3 - o**3 + 2*o**3) in the form q*o + x*o**3 + k*o**2 + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 - (13 - -7 - 61).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2329705 times -3\nAnswer: -0.6989115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03967321564 to five dps.\nAnswer: -0.03967","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3612)\/48)\/(-43)*292052 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -21*c + 133. What is the remainder when c is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7782 and -27005.\nAnswer: -27004.2218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1218 + 1537. What are the prime factors of y?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*(-4 + (sqrt(38) + -6*sqrt(114)\/sqrt(3))\/sqrt(72)*5))**2.\nAnswer: 350*sqrt(19)\/3 + 12316\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -31*2*(-54)\/12. Let w be (-1 - -3)*(23\/(-2) - -7). Let j = w + q. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-three fifths of a micrometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0. Let u(f) = -2*f**3 + 72*f**2 - 627*f - 40. Let y be u(15). Let z = -4 + -3. What is the nearest to p in z, y, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aa525 (base 14) in base 10?\nAnswer: 2026085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -0.5, -0.23, -0.2, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.452 + -0.352. Which is the third smallest value? (a) -14 (b) 1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933718631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3748709?\nAnswer: 3748709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3 - 6*c**2 - 40*c - 76296 wrt c.\nAnswer: 9*c**2 - 12*c - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -353395738*h*x**3 + 77462*h*x**2 + 22*h*x - 13*x wrt x.\nAnswer: -2120374428*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*v**3 - 215*v**2 - 201*v**3 + 78*v**3 + 215*v**2.\nAnswer: -435*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 327 = -9. Let r = 130 + k. Suppose 5*p = 4*h + r, 3*h - 2 = h. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -70 - -33?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by 8993?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/((c**(-2\/7)*c)\/c))\/c)\/c)**(-1\/4)*(c*c\/(c*c**(-2\/5))*c)**(3\/2) assuming c is positive.\nAnswer: c**(247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*d*l*p*y - 3*d*l*p + d*y + 267*d + 2*l*p - 2*l*y with respect to y.\nAnswer: 45*d*l*p + d - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 935293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 10*p**2 - 11*p + 16. Let s be h(-11). Let b = -11 + s. Solve -3*g = -b*f - 1 - 2, -3*f = -g + 5 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136425127, -272850255, -409275383, -545700511, -682125639, -818550767?\nAnswer: -954975895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 12 = 2. Let a be (m - 2) + 33\/21. Let 2\/7*f - a + 2\/7*f**2 = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1350256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*g**4 - g + 4*g - g + 188*g**4 + 5 wrt g?\nAnswer: -204*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 12054501900832\nAnswer: -12054501900832.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 51989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1\/2 (c) -4 (d) -9 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*i - 510*i - 227 + 27 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33470150 and 40164180?\nAnswer: 200820900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -7 + 14 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/595792 - -711967069\/868068944. Let h = 34\/47 - n. Which is the second biggest value? (a) 5 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 900, 4, -6570 in decreasing order.\nAnswer: 900, 4, -6570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3. Let w be (-26)\/(-5) + 116\/145. Let g(u) = -u**2 + 97*u. Let f(s) = w*c(s) + g(s). What is the second derivative of f(m) wrt m?\nAnswer: 36*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 37 + -5 - (119 + 0)) + -24 + 9.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/14 - (-6)\/21. Let d(y) = 2*y**2 + 21*y + 32. Let g be d(-9). Solve v = -g*b - 3*v + 36, -2*v = -b - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 134*g - 5 - 12*g**2 + 136*g + 0*g**3 + g**3 to s*g + x*g**3 + k*g**2 + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1860)\/(-27)*-4*-6)\/((-226)\/127125). Round a to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1) - ((-1092)\/(-63) - 17). Let y = 0.36 - -0.64. What is the nearest to y in b, 2, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m - 14. Let i be x(-8). Let u = 34 + i. Let n(z) be the second derivative of -z**3\/3 - 17*z. Determine n(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/26*(-4 - -1966). Which is smaller: 989 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 33*d**3 + 2*d**2 + 2*d + 0*d**2 + 3 - 1 in the form y + w*d**2 + t*d + m*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -669, -5659, -19203, -45579, -89065, -153939, -244479, -364963?\n\"Answer: -713*u**3 + u**2 - 2*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 - 6*o + 8. Let u be g(4). Solve u = -z - 2*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from thttittxdttt?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 226168383 to the nearest 100000.\nAnswer: 226200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 16 - 17*t)*(41 - 41 + 6*t).\nAnswer: -102*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71317?\nAnswer: 71317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -859.95 + -1.05. Let u = x + 860.8. Which is the second smallest value? (a) u (b) -0.07 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-1) - (-22 - -26). Let k = z + 15. What are the prime factors of 14\/21 + (-127)\/k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p**2 - 46. Let x(s) = 10*s + 24. Let d(a) = a + 3. Let f(u) = -8*d(u) + x(u). What is f(t(m))?\nAnswer: 24*m**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9924 is divided by 765?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -24 + (4 - 3) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*j = -j + 21440010, 16080002 = 3*d + j. What is d rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y + 71*y = -30*y - 253*y + 37393 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 0.1 (c) -4\/7 (d) -1\/3 (e) 83 (f) -2 (g) -10\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -17, -34, -51, -68?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-5)*(-4)\/(-22)*(-165)\/(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34291963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 4*v + 2*v - 10*v**2.\nAnswer: -10*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let i = -478 - -477. Let f(a) = a**2 + 3*a + 1. Let y be f(-4). Let t(h) = -8*h**2. Give i*t(b) + y*l(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = r - 627 + 636, -s - 5*r - 15 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from {e: 1, z: 6, q: 3, s: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13623.16464 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 4*a**4 + 3*a**3 + (-a**4 + 2 - 2)*(-4 + 0 + 3) - 28*a**3 - 7*a**4 + 15*a**4 - 9*a**4.\nAnswer: 4*a**4 - 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 204, 203, 202, 201, 200, 199?\n\"Answer: -o + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 82. Let x be (20\/f)\/(4\/10). Factor -2\/7 + 0*d + 2\/7*d**x.\nAnswer: 2*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 4*c**2 - c + 1 + 1 - 4. Let n be a(-4). Suppose 0 = 2*j - 3 + 1, n*j = o - 9. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4886 and -591.\nAnswer: -2887626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*d**2 + 17*d - 17*d)*(107*d**2 - 46*d**2 - 22*d**2).\nAnswer: 1170*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasssasaaaasaa. What is prob of sequence sa?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 46*n**3 + 2*n**2 + 52*n - 129. What is the tens digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349279, -693179, -1037079, -1380979, -1724879?\nAnswer: -2068779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*q + 2*q - 11, 13 = -3*v + q. Let k(f) = -1 - 4 - 3 - f. Let p be k(v). Which is bigger: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, e: 1, s: 4, j: 1, d: 4, b: 2}. Give prob of picking 1 j, 2 n, and 1 b.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d**3 - 1\/20*d**5 + 1\/8*d**4 - 1\/4*d**2 + 1\/4*d - 3. Factor n(a).\nAnswer: -(a - 1)**3*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18365 is divided by 538.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 + 22 + -10 - 20)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 563*m + 557*m - 1117*m = 2*r - 30, 5*m + 44 = 3*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*n = -16, -1 = 2*q - 4*n - 3. Let u(a) = a + 13. Suppose -3*x - 2 = -8, 5*t + 4*x + 32 = 0. What is the smallest common multiple of q and u(t)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l. Solve 0*k - 4*k + 20 = l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -25942*b**2 - 3*b - 8. Let y be m(4). Let a = y + 198092. What is a rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/17 - 32558*m**2\/17 - 132486640*m\/17 + 132519200\/17.\nAnswer: -2*(m - 1)*(m + 8140)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4\/2 + 24*x**3 - 72*x**2.\nAnswer: -3*x**2*(x - 12)*(x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 18*k = 96163. Is 113 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(24)\/(sqrt(8)*-2) - sqrt(3)) + (sqrt(11)*1 + 3 - (sqrt(44)*-6)**2).\nAnswer: -1581 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1675 - -1674. What is the nearest to -12 in 0.5, h, -2\/37?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/7 - 65452*w - 458168\/7.\nAnswer: 4*(w - 114542)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 404362167 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -157.94806?\nAnswer: 789.7403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5964 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 643420 and 193026.\nAnswer: 1930260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 7*z**2 + 4*z + 22. Let p(d) = -6*d**2 - 4*d - 20. Give -4*h(a) - 5*p(a).\nAnswer: 2*a**2 + 4*a + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15105 divided by -5\nAnswer: -3021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -90b724 - -5?\nAnswer: -90b71e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 129 (c) -0.6 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125458 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 65236324.32 rounded to the nearest ten thousand?\nAnswer: 65240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**4*w + 30*i**2*w - 2*i*w - 3*i - 49*w wrt i.\nAnswer: -36*i**2*w + 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 10023?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 13*o**2 - 194*o + 9. What is the thousands digit of b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -f - 23*f. Solve 3*l + 0*d + 2*d - 6 = 0, f*l = 4*d + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (15 + -6 + -2)) + (0 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14917711913*a + 3 - 3 + 14917711914*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -35. Suppose -4*i - 3*o + 8 = 0, 0*i + 5*o + 6 = 3*i. Calculate the greatest common divisor of n and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 - 2\/6. Let l = 546.76346 - -0.03654. Let w = l + -547. Which is the closest to -1? (a) t (b) w (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a factor of 185780390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27727\/2342 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -5 - 2) + -7 - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/30 and -3\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bipbiissbbsqsssbqs. Give prob of sequence qsb.\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2327 times -0.2?\nAnswer: 465.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 29 - 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 619?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.155 in 4, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = t - 1, -4*s + 0 = 4*t - 4. Let r = 9.9 + -10. Sort s, r, 5 in decreasing order.\nAnswer: 5, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 10. Let g be j(7). Let z(v) be the first derivative of -v**2\/2 - v - 5. Calculate z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -80842?\nAnswer: -80842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - f + 123 = 0, -2*d + 71 + 157 = -4*f. Suppose 62880000 = 112*a - d*a. Round a to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -5b8?\nAnswer: -5a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*z - 15 - 5, 20 = -5*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4557.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -89*s**3 + 8*s**2 + 56*s - 1. Let t(b) = 266*b**3 - 22*b**2 - 168*b + 3. Let y(w) = 4*t(w) + 11*v(w). What is the second derivative of y(c) wrt c?\nAnswer: 510*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-400)\/24)\/(-10)*2994\/(-506485)?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + 294\/(-36 + 22))\/(4\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -4.94. Let x = u + 0. Which is the closest to 0? (a) -2 (b) x (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/6 - (-24)\/(-18). Factor 11*z + n*z - 49 - z**2 - 11*z + 12*z.\nAnswer: -(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3 + 39784*d**2 - 591668 with respect to d.\nAnswer: -3*d**2 + 79568*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/18? (a) 0.4 (b) 0.1 (c) -14\/31 (d) -4 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:18 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*v = -r - 10, -r - 6 = 3*v. Let n be -3 + 1 - (-19 + -63). Suppose r = 7*w - 11*w + n. Solve 3*i + 16 = 2*o + i, 0 = -5*o + i + w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 1822, 4444, 8530, 14320, 22054, 31972, 44314?\nAnswer: 59320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, -168, 49, -4 in descending order.\nAnswer: 123, 49, -4, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102314, -204633, -306964, -409313, -511686, -614089, -716528, -819009?\nAnswer: -921538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3316 - 3283. Solve 0 = -3*n + 24 - u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 3.9.\nAnswer: 1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose 0 = 25*o - 22*o - 81. Let q be 0 + (1 - 0) + (-9)\/o. Which is the nearest to -1? (a) q (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.36 - 0.36. Let t = 33.00013 - p. Round t to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 28, 2, 0, 6, -3 in descending order.\nAnswer: 28, 6, 2, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -31322223021 (base 4) in base 6?\nAnswer: -210105453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77, 308, 683, 1196, 1841, 2612?\n\"Answer: -s**3 + 78*s**2 + 4*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s + 76. Determine k(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-44))\/(1218\/319).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 5*h - 9. Let o be f(-7). Suppose 2*a = -2*i - a + o, -15 = 5*a. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-12))\/(4\/18). Let b be (-2)\/(-4)*(m + -3). Suppose -4*r + 36 + 8 = b. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29986045 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 821388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 203550331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5*p - 4*l + 5, 4*p + 16*l + 16*l + 10 = -16*l + 50*l for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 16) in base 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - g + 16 = 0, -2*g = 5*v - 22 - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2777, -8, -2 in descending order.\nAnswer: 2777, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4079 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10844?\nAnswer: 2, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/9 (c) 134458\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 102897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4879?\nAnswer: 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6692 divided by 1673?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (0 + 2)) + (-69 - -65 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9622273 divided by 18\nAnswer: 9622273\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 730 + -1792. What is the common denominator of 10\/8 + x\/486 and 85\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*x - 3*f, -5*x + 2*f + 140 = 103 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 + -12.7\nAnswer: -12.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = 3*j + 81, 0 = -4*k + j - 169. Let c = k + 50. What is the remainder when 28 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-12)\/21 - 0)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.2 - -1. Let f = 0 - i. Let z = f + 0.8. Put 4, z, -2 in increasing order.\nAnswer: -2, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 47*h**2 - 461*h - 900. Determine q(11).\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 83*k**5\/30 - k**4\/24 + 5*k**2 + 81*k. Let a(d) = -5*d**2. Give m(a(w)).\nAnswer: 4150*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -6. Suppose 0 = -3*a - 2*z + 29, 0 = -3*a - 5*z + 46 - 5. Solve -4*x = -r - a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7074 to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**2 + 11*o. Let j(d) = -2*d**2 + 7*d. Let l(a) = 8*j(a) - 5*t(a). Let f = 7 + -6. Suppose 1 = u - f. Give l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10721896 rounded to the nearest ten thousand?\nAnswer: -10720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 920865750 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 3*n + 0*n + (-9*n + 5*n + 12*n)*(-2 + 4 - 3) + (-6*n + n + n)*(-1 + 2 + 0).\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13\/(-39) + ((-307228)\/(-8))\/((-21)\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*i - 40, 3*u + 0*i + 37 = 5*i. Let f be u\/10*10\/2. What is the units digit of 10*(-1)\/(4\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3650753 = -3650739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 + 23*s**3\/6 - 23*s**2 - 9*s + 1. Let a be w(8). What is the greatest common factor of a and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 19*q**2 - q - 19. Let u be y(-19). Suppose 4*n + u*n = 20. Let x = -5.4 - -0.4. Sort n, -1, x in decreasing order.\nAnswer: n, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*h - 2 + 1, -4*h = -2*l - 12. Solve 2*c + h = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Suppose 8*u = 6*u + 12. Let m(f) = 4*f**3 - 6*f**2 - f + 4. Let h(a) = -a**2 + 2*a**3 - 3*a**3 + 2*a**2 - 3 + 2. Give t*m(l) + u*h(l).\nAnswer: -2*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -654)*(-9)\/27. Find the common denominator of 0 - 2\/(-24)*u and -25\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7580220 + 0.8?\nAnswer: -7580219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from avbav?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1204 = -3*f + 2*f + 1245. Is f a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*g + 4*g - 63*g - g as y + l*g and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26*n - 39. Suppose -3*p + 3*y + 123 = 0, -5*y = -y + 8. Let t(h) = h + 1. Calculate p*t(x) + i(x).\nAnswer: 13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*y**5 + 832515*y**3 - 67*y**2 - 672044*y wrt y.\nAnswer: 7260*y**2 + 4995090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*b + 124 - 124 - 18*b - 116*b + 22*b.\nAnswer: -185*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-30))\/(63\/(-54)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 27 + 108*x + 100 - 61.\nAnswer: 108*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2125 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 543*g + 14. Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13061*o + 185760 + 181384 - 53680 = 0 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -186 + -1.2240727.\nAnswer: -187.2240727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**5 + i**4 - i**2 + 1. Let x(k) = -3*k**5 - 17*k**4 - 35*k**2 - 1. Let b(h) = s(h) + x(h). Find the third derivative of b(t) wrt t.\nAnswer: -60*t**2 - 384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 297322 or 297321?\nAnswer: 297322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, -28968, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.069 + 0.014. Let o = t - -0.125. What is the third smallest value in o, 0.4, 2, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/(-8))\/((-4)\/32). Suppose -5*w + 85 + i = 0. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvhxxkxk. Give prob of picking 1 x, 1 k, 1 h, and 1 v.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170011412.\nAnswer: 2, 42502853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (7536 - -3)*2 + -24 + 25 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a6 (base 14) to base 12\nAnswer: -baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaa. Give prob of sequence aa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68985.\nAnswer: 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5*q**2\/2 + 3*q - 4. Let f(z) = -4*z + 2. Suppose -3*y - 8 = 10. Let n(r) = y*f(r) + 5*h(r). What is n(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -664092, -664150, -664208, -664266, -664324, -664382?\n\"Answer: -58*c - 664034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 16*h**2 + 20*h + 30. Give b(-6).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/11)\/((-8)\/(-88)). What is the greatest common divisor of s and 3490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 7*q**4 + 37*q**3 - 30*q**2 + 12*q + 13. Let b(c) = -3*c**4 - 18*c**3 + 15*c**2 - 6*c - 6. Let d(t) = -13*b(t) - 6*y(t). Let d(s) = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 - 2692084*x\/13 + 905914532882\/13.\nAnswer: 2*(x - 673021)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((-777)\/195 + 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 2974875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 398.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.751758 rounded to two decimal places?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81663 and 6031.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 70001*y**4\/24 - y**3 - 3*y**2. Let x be w(6). What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390884 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w + 4. Let b be 4\/24*w*-114. Suppose -5 = c, 5*c = -5*x + 173 - b. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -878*d**4 - 25*d + 52*d + 2*d**3 + 9*d**2 - 21*d**2 wrt d.\nAnswer: -21072*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*h**2 + 96*h - 96*h in the form z + d*h**2 + c*h and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115\/82 + 4\/41. Let h = -0.01 - -0.41. Sort t, h, 4 in descending order.\nAnswer: 4, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18005 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 4*u**2 + 158*u\/3 - 104.\nAnswer: -2*(u - 4)*(u - 3)*(u + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 2136. Let t(d) = 143. Let j(c) = k(c) + 12*t(c). Let f(x) = 10*x**2. What is f(j(p))?\nAnswer: 40*p**2 + 16800*p + 1764000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*(sqrt(11) + -1 + sqrt(11) + -1)**2 - -1*(sqrt(121)\/(sqrt(44)\/sqrt(4)) - sqrt(11))**2).\nAnswer: -24*sqrt(11) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*y + 29, y + 5 = -4*t - 4. Suppose 161*v - 160*v - 1 = 6. Calculate the remainder when t + 3\/((-6)\/(-56)) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -z**5\/60 + 13*z**4\/24 + 4*z**2 + 6. Let q(i) be the second derivative of s(i). What is the tens digit of q(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185755920 rounded to the nearest 100000?\nAnswer: -185800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 160345 divided by 32069\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 0.819, 4, 3640?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -177 + 162 - 2*s**3 - 11*s**2 + 3*s**3 - 9*s. Let j = 42 + -30. List the prime factors of y(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/16 and -49\/176480.\nAnswer: 176480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141862.000231031 - -141862. Round l to six decimal places.\nAnswer: -0.000231","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6762 - -6182.6. Let o = d - -579. Sort -1\/7, 0, o in increasing order.\nAnswer: o, -1\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/29))\/u)**(-1\/5) assuming u is positive.\nAnswer: u**(2\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11203*x**3 + 28244*x**3 - 7467*x**3.\nAnswer: 31980*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 + 4 + 11*x**2 + 7*x**2.\nAnswer: 12*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 7 - 7)*(16 + 7 + 0).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1140 - -1140. Sort n, 6, -4, 5.\nAnswer: -4, n, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17274*r - 109232 + 18080 = -5880*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 11*v**2 - v + 3. Determine r(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33456, 33458, 33460, 33462, 33464?\n\"Answer: 2*a + 33454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6146682?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k\/(k**(-2)\/k*k))\/k)**1*k\/k**(1\/5)*k*k*k**(-2)*((k**(2\/3)*k)**(-19))**(-23) assuming k is positive.\nAnswer: k**(10997\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -117 + 2 + -4 + 7. Calculate the common denominator of 157\/30 and 101\/((u - 1) + 3).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12*(-3)\/((-18)\/(-4)). Let w(a) = -a**3 - 5*a**2 - 2. Let p be w(-5). Let u = p + d. Let s(n) = n**2 - 7*n + 3. Calculate s(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1066698237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j + j - 1 - 3 - 2*j. Let g(h) = 2*h - 2. Let o(t) = 7*g(t) - 3*l(t). Let r be o(9). Which is the second smallest value? (a) -2\/13 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/24*(6 - 10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dbdbbbbbbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 2.2 (c) -13 (d) -6\/11 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84495*y + 14098*y - 138564*y.\nAnswer: -208961*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 2*l + (1 + 1 + 0)*(0*l - 3*l + l))*(1 - 1 + l**4) - 12*l**5 + 25*l**5 + 26*l**5.\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*g**2 + 139*g**2 - 215*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 16, 30, 50?\n\"Answer: 3*l**2 - l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*j**3 - 289*j**3 - 82*j**3.\nAnswer: -649*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 139737 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 2.1. Put -0.2, j, -3\/7 in increasing order.\nAnswer: j, -3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6692 is divided by 87?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7029529?\nAnswer: 13, 31, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**6\/1980 + l**5\/110 - 3*l**4\/44 - l**3\/2 - 2*l. Let k(t) be the second derivative of f(t). Solve k(g) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(110)*2*-1 + sqrt(110)))\/((-3*sqrt(30)\/sqrt(3) - sqrt(10)) + (4*sqrt(10)*1 - sqrt(10))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -29 - (1 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*z + 3. Let l = 7 + z. Let h(c) = -3*c + 2. Calculate h(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h + h - h)*(-3 + 2 + 2) + 2*h + 2*h - 2*h - 4*h + 3*h + 3*h - 4*h + h + h - 3*h + 2*h + 2*h)*(3*h**2 - 4 + 4).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 4*w**2 - 2*w + 6. Suppose -5*k + 5*t = 10, 2*t - 25 = -17. Let b be m(k). Solve -z - b*z = -12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upppuupddixwdpudpw. What is prob of sequence wuwu?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jggjgg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46374990?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d + 4. Let u = -28 + 55. Let h = -15 + u. Suppose 49 + 35 = -h*x. Calculate l(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/125519 or -1?\nAnswer: -1\/125519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181892777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1216332\/686556 + (-4)\/(-652).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + (-12 - -10) + 14 + -1 is divided by (14\/3)\/((-2)\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**3 + 26*b**2 - 15*b + 98. Let f be v(18). Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3210 - 3238. Which is bigger: -26 or h?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 - 1235*p**2 + 45658*p + 2317. What is j(578)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 2*z + 7*z)*(2*z**2 - 4*z**2 + 6*z**2) - 87*z - 69*z + z**3 + 115*z + 2 in the form i*z + l*z**2 + r*z**3 + t and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 19. Solve 3*t = 6*t - c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295740908?\nAnswer: 2, 17, 4349131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6967, -13935, -20901, -27865?\nAnswer: -34827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2\/3*j**2 + 692\/3*j - 59858\/3 = 0.\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 1. Let i = -57813 - -57817. Which is the nearest to 3\/2? (a) 3 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*g**2 - 597 + 597 + 12*g**2.\nAnswer: -41*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-24) + 680317\/440. Let y = i - 1548. Find the common denominator of y and 11\/107.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 12:23 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3453\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1891978.\nAnswer: 2, 11, 85999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/1 + 9\/3. Let b(z) = -z + 14. Calculate the smallest common multiple of (-6)\/(2\/(-1)) - -1 and b(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*v = v - 30, 2*v - 20 = 4*j. Suppose 2 = u - 8. Let d = u + j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 14. Let y be c(-7). Let w = -20 - y. Calculate the remainder when (0 - -4)*6\/8 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**26)**1\/((p**(-9)*p*p)\/(p*p**(-41))) assuming p is positive.\nAnswer: p**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -13*q + 9*q - 10, 4*q = -4*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = 2*c - 3*o, 2*o - 4 = 0. Let q(f) = -2*f + 0*f + 1 - c*f + 8*f. Calculate q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/14)*s*s**(-1\/14)*s)\/((s\/s**(-11)*s*s)\/s**(-12)) assuming s is positive.\nAnswer: s**(-162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 4*h**2 - 7*h. Let k(d) = -d**4 + d**3 + d**2 + d. Let s = -6 - -5. Let j(c) = s*w(c) - 4*k(c). What is the second derivative of j(b) wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4474283 litres?\nAnswer: 447.4283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/133 and -93\/4256?\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p + 1. Let u be z(-7). Let n be (-4)\/(-14) + 32\/(-14). Let s be (n + 2 + 1)\/u. Calculate the greatest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 19 = -3*n + 12, 2*n = 2. Let b be (3 - 7) + t + -1. Let j(q) = q**3 - 10*q**2 + 10*q + 13. What are the prime factors of j(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/7))**(-32)*((m*m**(1\/4))\/m)**(2\/11) assuming m is positive.\nAnswer: m**(-3513\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3747 and 417.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*a + 37 = 27, -4*a = -6*t - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.3, 2.62, 0.1, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/18 - 2)\/((-170)\/(-3009)) and (-28)\/10*(-240)\/630.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.98. Suppose 2*j = 4*a - j - 5, 0 = -2*a + 5*j + 13. Let g be (-84)\/39 + (1 - a). What is the smallest value in 2\/11, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 553912549*l + 15535937?\nAnswer: 553912549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**7*j*j**(3\/2)*j**(-6)\/j*j\/((j\/(j\/(j*j**(6\/7)*j))*j)\/j*j*j))**(-15) assuming j is positive.\nAnswer: j**(2805\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -7, -5.\nAnswer: -7, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o**2 - o**2 - 5*o**2)*(4 + 2*o**2 - 4) + o**4 + 1 - 1 as w*o**3 + f*o**4 + z*o + m*o**2 + x and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18718 - -54021. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((14\/7)\/(-8))\/1)\/(10\/760)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*(-1 - -2 - 62) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b*b\/(b*b*(((b*b**(-2\/7)\/b)\/b)\/b)\/b)))\/b))\/(b**(3\/10)*b))\/(b**(-6)\/b*b**4))**(-3\/16) assuming b is positive.\nAnswer: b**(-1257\/1120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 798*t**2 + 848.\nAnswer: 1596*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o**4*o)*o\/((o\/o**(-9))\/o)*(o*o\/o**(-2))\/o**8 assuming o is positive.\nAnswer: o**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 50*z**2 + 10*z**2 - 3*z**2 + 10*z**2.\nAnswer: -33*z**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -11\/3, 2\/3, 2, -2\/3.\nAnswer: -11\/3, -2\/3, 0.1, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171796418\/13 <= 13215109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10*w - 251. What is u(-32)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 13. Let a = q - -9. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.23 and 7143.04279?\nAnswer: 7142.81279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let c(z) be the third derivative of 0*z**4 - 83\/60*z**5 + 0 + 0*z + 1\/3*z**3 + 358*z**2. Give a(c(s)).\nAnswer: -6889*s**4 + 332*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 16*m - 9. Let g be t(5). Suppose 12 = -3*z, -5*h - z = -g - 10. What is the derivative of 25*l - h - 8*l**2 - 25*l wrt l?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -9*b. Let s(a) = -25113*a. Calculate z(s(i)).\nAnswer: 226017*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2600*l**2 - 32*l + 6. Let q(i) = -5204*i**2 - 69*i + 13. Calculate 6*q(d) - 13*z(d).\nAnswer: 2576*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 19873854564.41?\nAnswer: -19873854556.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 686 and 1078.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*m - 30 = 3*z, 0 = -z + 3*m + 2180 - 2215 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2. Let t(n) = -21299747*n. What is v(t(f))?\nAnswer: -907358444528018*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 0, -565?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.07 + 8.07. Put h, 12, -3 in increasing order.\nAnswer: -3, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-9))\/(2\/21). Suppose -44*q = -28*q - 7904. Suppose -30*m = 8*m - q. Is m greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*((0\/4)\/(-3) + -1). Suppose 3*n - y = -50, -2*n = 2*n + 4*y + 40. Let i = -9 - n. Solve u = i*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011 + 2121122?\nAnswer: 2200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 + 150. Calculate the remainder when w is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5942, -5934, -5904, -5840, -5730, -5562?\nAnswer: -5324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((0 + sqrt(1700))*3 + 4 + (2 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + sqrt(1700) + sqrt(1700) + sqrt(1700)))**2.\nAnswer: 5400*sqrt(17) + 382824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -68. Let n = -8 - 0. Let l = n + 57. What is the remainder when l is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 4. Let h be b(-4). Let g = h + 39. Differentiate -11*s - 3*s + 3 + 2*s**g + 14*s wrt s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170539, -170537, -170539, -170545, -170555?\n\"Answer: -2*m**2 + 8*m - 170545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 17 - -17 - (0 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0087 and 147?\nAnswer: 146.9913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -1. Let g(x) be the first derivative of -1 - x - 2\/3*x**3 + 0*x**2. Calculate g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*p + 8486 = 78*p - 1225 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -186, -964, -2664, -5616, -10150, -16596, -25284?\nAnswer: -36544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30640600 divided by 5?\nAnswer: 6128120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 28 = 4*s, -4*u - 10*s + 14*s - 88 = 0. Which is the nearest to u? (a) -2 (b) -10 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 5*x - 2. Let i be s(-6). Suppose -5*v - 14 - 1 = -5*p, -3*v = -3. What is the units digit of 46 + (p - 1) + i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*s - 13753 = -500297 - 218484. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = 2*m. Suppose m = 7*g - 4*g - 903. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 - 17*k - 5. Let g(a) = a**2 - 15*a - 67. Let d be g(-4). Let i(b) = b**3 + 4*b + 1. Determine d*i(s) + 2*m(s).\nAnswer: -s**3 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 297?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/11 - 224*b\/11.\nAnswer: b*(b - 224)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*i*x**2 - i*x - 322*i + 935*x**2 + 26 wrt i.\nAnswer: -32*x**2 - x - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290.5459 decades to months.\nAnswer: 34865.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660443 to the power of 1\/2, to the nearest integer?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 2. Let s(r) = r**2 - 3. Let h(p) = 3*f(p) - 2*s(p). Let g(n) = 7*n**2. Let w(m) = -g(m) + 6*h(m). Let t(o) = -6*o. Calculate w(t(x)).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556194 by 185398.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-9)\/(27\/(-6)). Let p be (6\/(-4) - -2)*(4 - q). Solve p*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*m + 42 = 0, h + 32*m = 405 - 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 u when four letters picked without replacement from unuuunuuuuu.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.269651 and 3?\nAnswer: 2.730349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by -188\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-54)\/15)\/6*-10)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204928 is divided by 2926.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t + 5*t)*(2*t**2 - 5*t**2 + 5*t**2) + 2 - 2*t**3 - 2 + (9*t**2 + 26*t - 26*t)*(0 - 2*t + 0 + 0 - 2*t + 0 + (-1 + 0 + 2)*(-2*t - 2 + 2)).\nAnswer: -58*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 9*o**2\/2 - 37*o\/10 - 6\/5.\nAnswer: (o - 1)*(o + 12)*(4*o + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18338\/9 + -2032. Let k = -62 - -52. What is the common denominator of b and 2\/k + (2082\/(-240) - -1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose -4 + 0 = -2*m. Suppose 9 = 3*p, m*n + 3*p + 1 + 0 = z. Put n, 5, -4 in increasing order.\nAnswer: n, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.14148 + -0.94148. Let g = -30 + 29.87. What is the closest to 4 in -2, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -521748 or -521743?\nAnswer: -521748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-28)*31\/(-93))\/(2\/44).\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811 is divided by 894?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**2 + 128*w + 4. Give u(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*t = -7*t - 288, -3*v - 288 = -5*t. Let r = v - -236. Suppose 9*c - 13*c = -r. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/56117646 and -79\/162.\nAnswer: 505058814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-4))\/20*12. Suppose -a*c + 5*x = 5, -1 = -2*c - x - 0. Suppose c = -d + 61 + 70. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16367*b*z**6 - 5*b*z**2 - 13*b*z + z**3 + 2*z**2 + 24*z wrt z?\nAnswer: 1964040*b*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**3 + 4*d**2 - 6*d - 6. Let f(z) = 10*z**3 + 7*z**2 - 11*z - 11. Give 6*f(b) - 11*w(b).\nAnswer: 5*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50535267 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**3 - 4*s**2 + 32*s - 24. Let k(d) = -d**4 - 15*d**3 - 7*d**2 + 63*d - 50. Let j(y) = -4*k(y) + 10*q(y). Factor j(t).\nAnswer: 4*(t - 5)*(t - 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (2 + -6 + 75).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -66594 divided by 22198?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 46*h + 58. What are the prime factors of w(11)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 138\/61 (b) -3 (c) 2\/15 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(475) + -2)) + -2*sqrt(114)\/sqrt(6).\nAnswer: -6*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/10 of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006456981?\nAnswer: 103, 9771427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -503 - -505. Solve i - v = -2*x, -x + 1 + 18 = 5*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -38*q**2 + 1. Calculate m(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - t - 15 = -23, -t = -5*s - 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 4:53 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*s - 15 + 3, -3*i + 16 = 4*s. Let f = -128 + 129. What is the greatest common divisor of s and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 37 = -c, 0 = -r + 11*c - 6*c + 3. Let k(n) = n + 37. Let b be k(r). Is b > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10*y*y\/(y\/(y*y**25*y*y))*y**(-25)*(y\/y**(-12\/5))\/y assuming y is positive.\nAnswer: y**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 + 184554*f**3 + 553644*f**2 + 553638*f + 184545 = 0?\nAnswer: -61515, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 3, 27 in ascending order.\nAnswer: -41, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326838369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 314*m - 310. Let t be y(1). Let o(v) be the third derivative of -7\/24*v**t + 0*v + 5\/6*v**3 + 1\/120*v**6 - 6*v**2 + 0 - 1\/20*v**5. What is o(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*a - 54 + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1649 + 2\/(-4) + 27\/18. Round r to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12200 - -133130?\nAnswer: 120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**3 + 445*s**2 + 523*s. Let k(q) = 6*q**3 + 228*q**2 + 261*q. Let y(z) = -3*g(z) + 7*k(z). What is d in y(d) = 0?\nAnswer: -86, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 94.77409 hours?\nAnswer: 341186724000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/11*110077\/(-30021).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksxzkxbckbskxbc. Give prob of picking 1 b, 1 c, and 1 s.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 36660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -136 - -192. What is the highest common divisor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*y + 134, -5*n + 91 = 3*y + 23. Suppose -1 = -p + y. What is the smallest common multiple of 14 and p?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -6 + (15 - (10 + -5 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19.9 - -12.9. What is the second biggest value in 1\/8, -2\/7, g, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**3*u**4 - 261*j**3*u + 20*j**2*u**2 + 140*j*u**4 + 27*u**3 wrt u?\nAnswer: 24*j**3*u + 3360*j*u + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 12 = 4*i. Let p be (1 - (-6)\/i)\/(-1). Let c(f) = 4 + p + f + f + 0. Calculate c(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvsvv. Give prob of sequence vs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89 and 148007?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*t = -3*t + 12, 2*v + 3 = 3*t. Suppose v*c + 8 = d - 1, -3*d + 15 = -3*c. Solve 4*w = 3*g + 8*w - 26, -4*w + 14 = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 2, n: 1}. Give prob of picking 1 n, 1 e, and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/5 + 33*t**3\/5 - 269*t**2\/5 - 33*t\/5 + 54 = 0. What is t?\nAnswer: -1, 1, 15, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -284981 and 114.924.\nAnswer: -284866.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0 - 2 - 2*o + 11*o. Let r(l) = -13*l + 3. Let x be 3 - (-1 - 5)\/3. What is x*r(m) + 7*a(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, -5\/4, 1.54, -20\/523, 3, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3142340123 (base 5) to base 16\nAnswer: 64cb5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15781)\/645 + 2\/(-15))\/(21\/(-70)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -25*r + 870. Let c be u(35). Let m(p) = 6*p**2 - p. Let i(w) = -6*w**2 + w. What is c*i(x) - 4*m(x)?\nAnswer: 6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a46c - -5?\nAnswer: 5a472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, z: 6, m: 1, v: 2, r: 2}. Give prob of picking 2 r and 2 z.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 + -1 - (-299 - (-122 - 155))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 5*c - 38 + 37 = 0, -3*c = 2*a - 27 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30713, -32689, -34661, -36629, -38593?\nAnswer: -40553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-12)*2357\/(-32998).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + -3 + 15 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-96) - (-7)\/(-12)*1. What is the closest to -2 in c, 0.04, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 2*w**3\/3 - 238. Let q(f) = 18*f. Let v(d) = -d. Let s(y) = 3*q(y) + 63*v(y). Give s(a(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -22*a**2 + 310*a - 34. Calculate n(13).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1048 = p, -2*n - 35 = 5*p - 1071. Let r = n + -520. Sort -1, -27, r.\nAnswer: -27, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 18f727?\nAnswer: -18f72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(1\/2)))\/(d**13\/d)*(d**(-18)*d)\/(d*(d\/(d**0*d*d*d))\/d) assuming d is positive.\nAnswer: d**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/2)\/b))**(-49)*(b*b**0)**(20\/9) assuming b is positive.\nAnswer: b**(-2165\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -2*n**3\/3 - 8. Let d(q) = 748 + 751 - 8*q - 1496 + 0*q + q. What is l(d(y))?\nAnswer: -98*y**2 + 84*y - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5570780 times -7\nAnswer: -38995460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 - -235. Let q = -15 + 32. Calculate the remainder when t is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 767245086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:17 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 2, q: 4, w: 2, j: 1, o: 4}. Give prob of sequence wi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2500 (base 11) to base 16\nAnswer: cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1030 = -22*a + 24*a, -2*a + 5*f = -995. Let i(y) = 2*y + 4. Let c be i(6). Differentiate 510*o + c - a*o - 14*o**4 with respect to o.\nAnswer: -56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (5 - -9)) + (-1 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 230173?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (620\/36 + -17)*-18. Suppose -21 = 4*j - 1. Put -28, f, j in ascending order.\nAnswer: -28, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 883 = -c, 4*c - 12 = 0. Let m = 221 - y. Let n(u) = -u + 2. Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3338 * -1\nAnswer: 0.3338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5773910*n**3 + 3338723*n**2 wrt n.\nAnswer: -34643460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-36))\/((-6)\/12). Let k be (4\/(-10))\/((-3)\/10). Let n = -3.38 - -3.48. What is the third smallest value in i, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -25. Let f = 11685.6 + -11686. What is the nearest to -0.1 in -1\/5, f, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.066 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/(40\/(-16)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 76*a + 17*a + 162*a)*(-11 + 11 + 7*a).\nAnswer: 721*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13159220 or -13159219?\nAnswer: -13159219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 4*b + 2. Let r be k(2). Suppose r*i = h + 6 - 2, 4*h + i = 11. Solve 2 - 3*o**2 - 1 + h*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -103. Let c(l) = -l + 70. Let n be c(b). Suppose 0 = -10*r + n + 1564. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11 + 17*a - 4*a - 26 + 8. What are the prime factors of o(10)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (102 - 114 - (0 + -18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 18 = 5*r - 5*j, -3*r + 2*j + 19 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of m**3 - 147. Let u(d) be the first derivative of 25*d**2\/2 + 18. Determine y(u(r)).\nAnswer: 1875*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2\/17 - 788382*t\/17 - 556488 = 0.\nAnswer: -394179, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.84406 rounded to two dps?\nAnswer: -6.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(56\/(-1)))\/((-11)\/11)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n**3 - 14*n**2 - 224*n - 27. What is the remainder when w(-9) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.9, 1\/10, 2 in increasing order.\nAnswer: -0.2, 1\/10, 0.9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -0*z, z = -m + 6. Let q be (-85)\/(-20) - (3 + m\/(-2)). What is the nearest to -1\/2 in -0.5, -3, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 7*h + 13. Let z(d) = d**2 - 4*d + 7. Let c be 24\/(-12) - (-13 + 0). Let v(r) = c*z(r) - 6*a(r). Let x(w) = -w**2 + w. What is v(f) + 3*x(f)?\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*1)\/((-1)\/(-3)). Let s be (10\/r + 1)*-1. Let m be ((1\/(-3))\/(9\/12))\/(177\/531). What is the third smallest value in s, -2, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8\/57 - 115\/399. Which is smaller: v or -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*f + 5*k, -f - 3*k + 5 = -2. Suppose 3*m = -2*d + 36, f*d - m + 18 = 90. Suppose 19*c - 1 - c**3 + 1 - d*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 - 36086*p**4 - 359*p**2 + 4*p - 12 wrt p.\nAnswer: -60*p**2 - 866064*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -12 + 10*t + 2*t + 4*t - 4*t**2 = 0. Calculate t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -828*f**3*t**3 - 14077*f**3 + 400*f**2 - 12262*t**3 wrt t.\nAnswer: -2484*f**3*t**2 - 36786*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -887 + 1644. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**3 + u - 5. Suppose 30 = 2*s + 8*s. Let t(w) be the first derivative of 2*w + 0*w**s + 0*w**2 - 3 - 1\/2*w**4. Calculate -2*f(j) - 5*t(j).\nAnswer: 2*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 244?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18956 and 5872298.\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.64 + -6.34. Which is the closest to 2\/3? (a) g (b) -0.03 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 25*n**2 - 8*n + 39. Suppose -5*l - 70 = 55. What are the prime factors of p(l)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 32. Suppose -2*v = 0, -2*c - f*v = 2*v + 36. Let g = -16 - c. Put 0.4, -1\/5, g in increasing order.\nAnswer: -1\/5, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -18*f + 13 + 8*f - 13. Let w(q) = 12*q**2. Calculate w(u(v)).\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(4\/1)*-15. Calculate the greatest common divisor of 40 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(1185\/(-7110)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3 - 24 - k**2 - 16*k + 2*k**2 - 10. What is the tens digit of z(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + 12\/(-18) - (-904)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1 + -4482303359.\nAnswer: -4482303357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -1, -4.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*m + 30, 8596*b - 188 = 8629*b - 5*m for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 547 - 547 + 2*w**2 - 5*w**2 - 2*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162163 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136055.\nAnswer: 5, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23857.335 seconds to hours.\nAnswer: 6.6270375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x + 1. Let n(p) = 3*p**3 + 4*p - 15. Let f(q) = -4*k(q) - n(q). Differentiate f(d) with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010775 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -40 (b) 252 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8909193*x**3 + 4454594*x**3 + 4454600*x**3 - 19.\nAnswer: x**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 1 - 399*r - 544*r + 25*r as v + y*r and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 27 (b) 1\/10 (c) 189\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) -3\/7 (c) -6 (d) 30\/7 (e) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 17\/5 (b) 67 (c) -336\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-22) - (-4669)\/12397. Solve -2\/7*r**3 + 4\/7*r**2 + s*r - 4\/7 = 0 for r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2))\/((-2)\/(32\/(-120)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - z = 3*z - 52, 4*z = 0. What is t rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 5, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 4*z + 6. Let b be j(-4). Suppose -15*v + 17*v = -2. Let c = b - v. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6128 is divided by 64.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*x - 1220*x + 1990*x + 3490*x to the form f + h*x and give h.\nAnswer: 4135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*f + 14 = -1, -4*y = 3*f - 9. Let u(i) = -i**3 - i**2 - 12. Let o be u(y). Let r = -1 - o. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -x**4 + 14*x**3 - 84*x**2. Differentiate c(z) wrt z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6))\/(12\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29854*z**3 - 14935*z**3 - 14945*z**3 + 7*z - z.\nAnswer: -26*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-10)\/2) + 3. Let c(h) = 4*h**2 + 0 - 3 + 7. Calculate the common denominator of -46\/11 and c(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -604 - -428. Let k = -180 - g. What is the closest to -0.1 in 3\/7, k, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 + 196560*x + 6439305600.\nAnswer: 3*(x + 65520)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 + -0.11. Let q = o + 0.53. Let s = q + -0.16999986. What is s rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(104)\/sqrt(4))\/sqrt(512)*-1)*-4.\nAnswer: sqrt(13)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 380 = 4*p. Suppose -12*m - 35 = -17*m. Suppose -2*l + m*f - 4*f + 380 = 0, -3*l + 570 = f. What is the highest common divisor of l and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-476)\/(-14) - 14)\/(2\/32) and 160?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262*-0.2\nAnswer: -52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14052?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5959774252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/11831000 and 57\/23662?\nAnswer: 11831000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t + 1. Let i(c) = -7*c**4 + 5*c**3 + 4*c**2 + 5*c - 5. Let f(n) = -i(n) - 5*j(n). Find the third derivative of f(g) wrt g.\nAnswer: 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 32 - 2*t**3 - 18 - 21 + 9*t**2 - t. Let n be h(4). Calculate the greatest common divisor of n and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2139 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7*q = 9. Let x be 3 - (2 - (q - -9)). Factor x*y - y - 2*y**4 + 5*y**4 - 9*y**2.\nAnswer: 3*y*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*n - 50*n + 5456 = 0. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/((6\/4)\/(-1)))\/(1\/6)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -23. Let x = -27.5 - s. Which is the biggest value? (a) 0.07 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3))**2 + 1 - sqrt(26)\/(sqrt(2) + sqrt(2)*2).\nAnswer: -sqrt(13)\/3 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 24. Suppose u = -g + 14. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 17. Suppose y*c - 75 = -k - 14, 3*k = c + 131. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(1\/4))\/(2\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2687388 by -671847.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s, s - 890 - 53 = 2*c. Let v = c - -476. Solve -o = 9 - v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**4 - 5*w**3 + 9*w**2 - 7. Let j be (-4 - -5) + -6*1. Let f(l) = 6*l**4 + 4*l**3 - 8*l**2 + 6. Let c(a) = j*f(a) - 4*r(a). What is g in c(g) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 11*j**6\/5 - 5*j**3\/3 + 5*j - 1. Find the second derivative of a(s) wrt s.\nAnswer: 792*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - 10 + 3*b + 4)*(-b**2 + 0 + 0)*(0 + 0 + 4*b).\nAnswer: 8*b**4 + 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = j + 15. Suppose j*k + t - 310 = 0, -2*t - t = k - 98. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 0\/(1 + -3). Let r(h) = 2*h**3 + 4*h**2 + 3*h - 2. Let t be r(k). Let s be ((-3)\/6)\/(3\/t). What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 600?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -157\/3 + 3445\/66. Let m = 1\/217 + -6729\/434. Find the common denominator of m and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 15, 3*r + 12 = -2*d + 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 23*f + 39. Let o be u(-9). What is the common denominator of (o\/(-9) + -1)\/(70\/18) and 3\/25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwwwqww. Give prob of picking 2 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398*v**2 + 8*v**3 - 1398*v**2.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5234, -5209, -5184?\nAnswer: -5159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010908675868 to six decimal places.\nAnswer: -0.010909","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10289*d**3 + 13*d**4 + 10*d**2 - 568*d**5 + 567*d**5 - 10321*d**3 + 10*d**2.\nAnswer: -d**2*(d - 10)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 4*a**3\/3 + 21*a**2\/2 - 2*a + 280. Calculate p(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3064, -1\/3, 528\/5, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -663*x + 7. Let t(b) = 1327*b - 13. Give -4*t(m) - 7*y(m).\nAnswer: -667*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 - 162*a**2 + 3198*a + 3362 = 0 for a.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45.79+4\nAnswer: 49.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 211*((-50)\/(-350))\/((-2)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -85*m**2 + 16*m - 8. Let u(k) = 41*k**2 - 8*k + 4. Calculate -6*r(l) - 13*u(l).\nAnswer: -23*l**2 + 8*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 802, 18, 8 in descending order.\nAnswer: 802, 18, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqlopqlqlrwrw. What is prob of picking 1 q and 1 p?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83496 by 24.\nAnswer: -3479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43765015?\nAnswer: 5, 7, 53, 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(539))**2 - (5 + sqrt(44))) + 5)*-4.\nAnswer: -2160 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 + h + 7. Let k be a(-5). Suppose 4*n = k*v - 48, 3*n - 49 = -2*v + v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i - i + 2*i)*(0 + 0 + i) + 271 - 4*i**2 - 273 + i**2 to the form k + v*i + f*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let a(v) = v**2 - 2*v - 8. Let d be a(j). Is d at least as big as -10\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249 and 5312?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 1:16 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 2. Let b be n(-1). Solve b + 15 = -4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3020829 + -681829. What is q rounded to the nearest 100000?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -42865 - 57083. Suppose -4*k - 67667 = -x. Round k to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201366032 (base 7) to base 11\nAnswer: -6681026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 825192.\nAnswer: 2, 3, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - i = 2*b - 75, 2*b - 5*i = -37. Let q be 72\/39 + (-4)\/b. Solve 20 = -2*o + 6*o, 3*o - 13 = q*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 13*o - 394. Let p = o - 18. Let i = p + 11. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21514 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 196 divide 2912699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -19*a. Let d(s) = 6*s + 5*s - 12*s. What is d(g(c))?\nAnswer: 19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -3\/13, 20 in descending order.\nAnswer: 20, -3\/13, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-236)\/(-2891)*21\/2)\/(6\/(-28)). What is the closest to 0.1 in 2, g, -0.1, -0.215?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1635 + 30677?\nAnswer: 31cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2)\/(363\/(-3993))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 5. Let y be n(-5). Let a = y - -26. Calculate the greatest common factor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/17 (b) -0.4 (c) -0.712 (d) 8 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.607 - 0.6. Let o = t + -0.053. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 - 45*h**2 - 12*h + 1. Let n(j) = j**3 - j**2 + j - 1. Let b(d) = -6*n(d) + q(d). List the prime factors of b(-13).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(27))**2*4.\nAnswer: -120*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 + 5*y**3 - 2*y**3 + (1 + 1 + 0)*(-2*y**2 + 2*y**2 + 3*y**3).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -m - 8*m. Suppose 0 = 4*u + m*u - 108. Let g be (22\/(-3))\/((-6)\/u). What is the highest common divisor of g and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/12 - 5*v**3\/2 - 10*v**2. Let a be h(5). Let d(s) be the first derivative of -s**3\/3 - 2*s**2 - s + 1. What is d(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/9 (b) 3 (c) -60 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 1)*(26\/(-299) + -8 + (-4726)\/(-391)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2567970\nAnswer: 1\/1283985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26926.2l to millilitres.\nAnswer: 26926200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96490.19l in millilitres?\nAnswer: 96490190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 15. Let k be m(-13). Let t be (-101)\/k + 21\/14. Let z = -34 - t. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 28*o**6\/33 + 138*o**5\/55 + 41*o**4\/22 - 2*o**3\/3 - 9*o**2\/11 + 4*o\/11 + 11. Solve k(h) = 0 for h.\nAnswer: -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/12*(-2)\/(-6)*40\/180.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 968, -4 in ascending order.\nAnswer: -4, 5, 968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*p - 96, -5*p = -3*v + 4*v - 24. Let q = 104 + v. Suppose -q - 120 = -w. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12881986, 12881984, 12881980, 12881974, 12881966, 12881956, 12881944?\nAnswer: 12881930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20379199?\nAnswer: 29, 702731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 23. Let w = o + -18. What is the remainder when w is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3109559846?\nAnswer: 2, 37, 97, 433207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13423 - 40?\nAnswer: -13463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52*t**6*u - 2*t**4 + 209*t**3*u - 2*t**2*u + 11*t**2 + 2380*u wrt t.\nAnswer: 6240*t**3*u - 48*t + 1254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 - a + 5. Let f be i(5). Solve -l + f*l + k - 4 = 0, 5*k = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85579 and 2639.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v = 3*a - 2, -v = 4. What is the first derivative of -d**3 + a*d**3 + 2*d**3 - 2 wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g - 5*g + 53*g)*(-14*g + 2*g - 13*g) as y*g + i + n*g**2 and give n.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 21*f + 1. Let l(w) = 42*w + 2. Give 5*i(u) - 2*l(u).\nAnswer: 21*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -195 - -200. Let v(q) = q**3 + 19*q**2 + 18*q - 2. Let p be v(-18). What is the third biggest value in 0.1, p, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1075*t + 66509 - 66509 - 5 - 3*t + 5 + (-2 - t + 2)*(2 + 4 - 4) as j*t + u and give j.\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56485, -58153, -59821?\n\"Answer: -1668*f - 54817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -24601 + 24601 - m**3 - m. Let t be 2 - 2 - (0 + 0). Suppose s - 1 + t = 0. Let q(v) = 7*v**3 - v**2 + 4*v. Determine s*q(o) + 4*c(o).\nAnswer: 3*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/18145 - -544472\/1106845. Suppose 0 = -5*y + l - 2*l + 4, 0 = 4*y + 5*l - 20. Which is bigger: z or y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73260, 73244, 73228?\n\"Answer: -16*s + 73276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (0 + -2 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -6.9. Let j = o + -8. Let l = j - -0.7. Which is greater: 0.2 or l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082 > 115538\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.2 - -3.3. Let i = g - 0.1. Suppose 0 = -4*c + 20, -3*c + 6 + 10 = n. Is n bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 - 2 - 12*t**2 + 2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.42 - 0.216. Let f = -0.304 + d. Which is the third biggest value? (a) -1\/4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2386553 divided by 13.\nAnswer: -183581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22, -6, -21\/1222, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(885\/75 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from {s: 3, j: 1, y: 1, v: 3, l: 2, u: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**5\/150 + h**4\/10 + 3*h**3\/5 + 5*h**2. Factor t(n).\nAnswer: 2*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129168 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4737007680 divided by 5.\nAnswer: 947401536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.6365 - -53.99. What is m rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8190139, 8190125, 8190111, 8190097?\n\"Answer: -14*m + 8190153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -3 (c) -24 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22026285 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100621129 to the nearest integer?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2\/a*a**(-2\/11)*a\/(a**(-2)*a)*a*a**(-4\/3))\/(a*(a*a**(2\/15)*a*a*a)\/a*a*a*a*a\/(a*a**(-1\/4)*a)*(a**(2\/5)*a)**(-40)) assuming a is positive.\nAnswer: a**(34387\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -3 + 4*c**2 + 2 + 0. Let s be z(1). What is the greatest common factor of s and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243 and 810?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(195\/2470)*(-1 - 0)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, x: 1, e: 5, z: 4}. What is prob of sequence zke?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1810 - -3571. Suppose -701 = -4*t - s. What is t rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190326601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 16*s**2 + 6*s - 149. Let c be m(6). Solve 0 = 45*u - c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.3 - 0.3. Let d = 2409 - 2400.05. Let o = b - d. What is the third smallest value in 2, -2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2040166, -2040230, -2040280, -2040310, -2040314, -2040286, -2040220, -2040110?\nAnswer: -2039950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61805 + -14301. List the prime factors of l.\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 + i**5\/20 - 7*i**4\/4 - 43*i**3\/3 + 1397*i**2. Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from {g: 2, a: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*m + 33 = 0, -5*m - 23 = 3*t - 64 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-6))\/((-12)\/(-54)). Suppose -3*l + 2*f = -m + 4, -2*l - 4*f - 16 = 0. What are the prime factors of 4\/(-6)*(-6 - l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/140*4 + (-2)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 6*w - 2*w, 133*w = -5*h + 136*w - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, -28, -4, -3 in increasing order.\nAnswer: -28, -12, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004524 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ab2341 - -8?\nAnswer: -3ab2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -7) + (-1 + -7 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 3*m**2 - 3*m - 3*m**2 + 0*m**2.\nAnswer: -9*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.097464299 + -7.5?\nAnswer: 1.597464299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001294 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 + 15*g - 22. Let i(k) = -2*k**2 - 7*k + 10. Let h(q) = 3*f(q) + 7*i(q). Let o(c) = c - 1. What is -h(b) - 4*o(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 763 + 2675 = 0. What is the derivative of o*r**2 - 948*r**2 + 1 - 9 wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -323 + 2898. Is j\/2 - (-6)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -3*i - 5, 6*x - 5*x = -4*i - 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80211, -80209, -80207, -80205?\nAnswer: -80203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/8 and -25\/538.\nAnswer: 2152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 75 - 115)*(4 - 3*x**2 - 4)*(-5*x + 5*x + x) to r*x**3 + d*x**2 + v + y*x and give r.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006238 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 82 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) - (-253)\/(-4). Let m = 336\/5 + n. Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 9\/(-3)) + (-470)\/150?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - d**3\/6 + 168*d**2 - 8*d. Let n be j(0). Suppose -8*x + n = -5*x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*p - 16957 = -13821 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/24 and 139\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**2)\/(a\/a**(-1\/4))*(a**(-14))**(6\/11) assuming a is positive.\nAnswer: a**(-171\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-2))\/((-35)\/(-42)). Factor 2*p**v + 2\/5*p**5 + 4\/5*p**2 + 0 + 0*p + 8\/5*p**4.\nAnswer: 2*p**2*(p + 1)**2*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5853 divided by -3.\nAnswer: 1951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 1, s: 1, b: 2, w: 2}. Give prob of sequence sbz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 783510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 + 219. Which is the second smallest value? (a) -0.2 (b) g (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**2 + 35*a + 30. Let v(t) = 5*t**2 - 18*t - 14. Let n(y) = 5*v(y) + 3*z(y). Is 6 a factor of n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 13 - 5) + -9 + 2 + (0 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713261*k - 2*k**3 - 14*k**3 + 713261*k.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -5. Suppose 3*r = 9 + 9. Let d(j) = -j**2 + 5*j + 1. Let w be d(r). Put w, -2, y in descending order.\nAnswer: -2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:26 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 62*a*x*z - 27*a*x + a*z + 18*a - x*z wrt z.\nAnswer: 62*a*x + a - x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2504)\/626*1*(-2)\/24.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 562110 and 640?\nAnswer: 35975040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.8 + -42.79999967. What is c rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 528 and 253?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 415, 2298, 7227, 16726, 32319, 55530, 87883, 130902?\n\"Answer: 254*x**3 - x**2 + 108*x + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:30 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*t**3 + 4*t**3 - 20*t**3)*(6 + 1 - 1).\nAnswer: -204*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**4 + a**3 - 19*a**2 + 533927*a wrt a?\nAnswer: 276*a**2 + 6*a - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2 + 3 + (-44 - -45)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9757168 to the nearest integer?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 148193*u + 290508*u - 56507*u.\nAnswer: -u**2 + 382194*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2. Let x(k) be the second derivative of 0*k**2 + 3*k - 7\/2*k**3 + 0. Calculate x(u(g)).\nAnswer: 21*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -30.1. Let f = -15 + 18. Let h = -491\/65 + 37\/5. What is the nearest to p in h, -4, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16 + 5*w - 80*w**2 + 74*w**2 - 3*w - w**3. Let a be i(-6). Solve -a*z + 2 + 10 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46539629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 91\/90 (c) -3 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.35 from -0.087887.\nAnswer: -0.437887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 103738 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10943\/20 - 546. Find the common denominator of 121\/708 and i.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 * -34566332\nAnswer: 725892972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304670?\nAnswer: 2, 5, 30467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -124 - -124.3. Let n = 103 + -39. Which is the closest to -2\/5? (a) -4 (b) i (c) -1\/2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in -1\/3, 0.09, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 300 = -5*j, -4*g + 3*j - 82 = -3*g. Let l = 99 + g. Suppose 0 = r - 0 - l. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w - w**2 - 24*w. Let q(k) = 18*k**2. What is m(q(f))?\nAnswer: -324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14*c**2 - 23*c - 2. Suppose -15 = -5*w + 40. Let m(y) = -5*y**2 + 8*y + 1. Let d(f) = w*m(f) + 4*x(f). What is the units digit of d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6461 - 17317 = -3*u + 6700. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -454, -677, -900, -1123?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19 + 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from hkkhhhkhkkayaykq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjtljjhrtwjt. What is prob of sequence twh?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20202220001 (base 3) to base 9\nAnswer: 222801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - 7 - (-1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4165 = 5*n - 0*g, -4*n = -3*g + 3332. Let d = 1365 + n. List the prime factors of d.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -410.8 * 0.042.\nAnswer: -17.2536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/746248 and -7\/16.\nAnswer: 1492496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d - 70 = -44*d + 3*m - 8*m, 0 = -14*d - 3*m - 128 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 114, 361, 842, 1635, 2818, 4469, 6666?\nAnswer: 9487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n\/(n\/n**14))\/n*n)\/n*n**(-11))**(5\/14)\/((n**(-4)*n)\/(n\/(n\/(n**(-2\/9)\/n))*n))**(-13) assuming n is positive.\nAnswer: n**(-4325\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*sqrt(700)*1 + 5.\nAnswer: 2 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002302150537 to 6 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1014a (base 11) to base 3.\nAnswer: -202022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 10*n + 3214. Give p(55).\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 6:08 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-1)*(54\/12 - 5). Let x be (-6977 + 27)\/(k*2\/8). Round x to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28944 + 6654?\nAnswer: 35598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 847251632 divided by -7864\nAnswer: -107738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5240047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a kilogram in grams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/350)\/(3\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5676337, -5676342, -5676351, -5676364, -5676381?\n\"Answer: -2*v**2 + v - 5676336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.1055 to 2 decimal places.\nAnswer: 4.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(400) - (2*sqrt(400)*4 + sqrt(400))))\/(sqrt(72)*-6 - (-2*sqrt(392) - sqrt(392))).\nAnswer: 200*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6927 + 23216 - 37204*j + 37206*j + (j + 0*j - 2*j)*(7 - 4 - 2) + j + 3*j - 2*j.\nAnswer: 3*j + 30143","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3442183752 + 4514122674. Let q = d - 7956306570.00000077. Let g = q + 144. What is g rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -17 + 9 - m**2 + 4*m**2 - 13 - 28*m. What are the prime factors of v(15)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1537 + -1045. Calculate the highest common divisor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Let o = -58 + 61. Suppose -2*g = -o*v + 18, 9 + 1 = v - f*g. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -26, -10, 38, 130?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**4 - v**3 - 1. Let z(j) = -7*j**4 - j**3 + 11*j**2 - 1. Let d(h) = t(h) - z(h). What is the third derivative of d(i) wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 7:41 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 4\/506289, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 a, and 1 l when three letters picked without replacement from salsa?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12188*l**2 - l + 40. Suppose -30 - 2 = -4*j. Let u be o(j). What is u rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4*f - 4 = 0, -2*p = -4*p - 2*f - 2. What is the remainder when 1 + (42 - -2) + 0 is divided by -1*(-12)\/(1 - p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5064319*c - c**3 - 5*c**3 - 5064319*c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81006987833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 + 8. Let q be 5\/v - 211\/(-5). What is the highest common factor of 28 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8357383882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 11, -14, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebob when four letters picked without replacement from bxxxxxxxexxbxokx.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47789536 and -0.2.\nAnswer: 9557907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 + 1)*(-3 + 6 - 1).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78452083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -3, -22, -47?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 6*t - 6. Let w(c) = -3*c**2 + 3*c - 3. Let j(l) = -4*v(l) + 7*w(l). Determine j(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3468, 3473, 3482, 3495, 3512, 3533?\n\"Answer: 2*u**2 - u + 3467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - d + 5*d)*(2*d**3 + d**3 - 5*d**3) + 2608*d**4 - 3*d**2 + 22*d**3 - 2610*d**4 + 15*d**3 as g*d**4 + t + v*d**3 + h*d + j*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -5 (b) 0.5 (c) -1\/4 (d) 125 (e) -30\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -196600 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 13*i**3 - 39*i**2 + 0*i**4 - i**4 - 3*i**3 - 4*i**3 + 45*i.\nAnswer: -i*(i - 5)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 0 + 28*o**2 - 10*o + 0 - 32*o**2 - 8 - o**3. Let y be h(-7). Calculate the highest common divisor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 + 220\/50)*55 is divided by 75.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -56.5. What is the third biggest value in t, 4\/3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22479338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -1, -2, -3 in decreasing order.\nAnswer: 56, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*0\/(-60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*k**5 - 2*k**3 - 608*k**2.\nAnswer: -2280*k**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 29. Which is the third biggest value? (a) 4 (b) 0.4 (c) k (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 15952*u**2 + 364780*u.\nAnswer: 4*u*(u + 23)*(u + 3965)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 100890*j - 807201. What is k(-8)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2\/7 (c) 9 (d) -1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 10:42 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.88891mg to tonnes.\nAnswer: 0.00000004888891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 21 + 813*f - 2890*f - 1403*f in the form q + b*f and give b.\nAnswer: -3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(99) + 0 + 3.\nAnswer: 1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -36, -31, -26?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 + 0\/(-1)). Suppose 5*z - 2*z - 2*d = 25, -z = 4*d + 15. Let i = -1 + z. Solve k + 2 = 0, -2*p + t*p + 4*k = -i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 - 6*v - 7. Let w = -665 - -944. Let y = w + -273. Determine u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 - 461 = 21*u + 73 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-36)*3\/(-4). Let h = -740\/7 - -106. Let l = -1.4 - -1. Which is the closest to h? (a) r (b) -3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -482, -993, -1512, -2033, -2550?\n\"Answer: q**3 - 10*q**2 - 488*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - -1345550?\nAnswer: 1345456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 542459569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + 0*k**2 + 4*k**2 - 5*k**3 + 3*k**3 + 1 + k**4 as a*k**4 + z*k**3 + q*k**2 + x + b*k and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2768 and 1373384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 - 7*l**2 + 3*l + 3. Let z be p(3). Let r = 539 + z. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 2*x + 6684. Let o = x - 279. Is 47 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10993, -10833, -10669, -10501, -10329, -10153?\n\"Answer: 2*g**2 + 154*g - 11149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 4*p - p - 2*p. Let z be i(-1). Let j be ((-6)\/z + -20)*-1. What is the greatest common factor of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and 2792.\nAnswer: 2810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c + 48 + 0*c - 46)*(-4575 + 4575 - 72*c**4).\nAnswer: -360*c**5 - 144*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -883 - -626. Let y = k - -611. Suppose y = 8*b - 1934. Is b a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 432781048 and 6608?\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/52514, 1\/20, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**6\/5 + 3*k**5\/4 + k**4\/6 - k**3\/6 + 35*k**2 + 55*k - 12. What is the third derivative of x(l) wrt l?\nAnswer: 144*l + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -8*k - 1400. What is the greatest common factor of k and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2052)\/6156)\/((-1)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-36)\/(-14))\/(2 + (-75)\/35). Are -14 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + 2. Suppose s = 2*f - 17. Solve 2*z + f = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*z**4 + 7*b**3*z**2 - 486*b*z**4 + 9*b*z**2 wrt z?\nAnswer: 72*b**3*z - 11664*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*b + a + 25 = -328*b, -4*a + 0*a - 18*a = 5*b + 266 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 + 6*i - 85. Let l be (-39)\/(-3) - (-15 + 18). Let g be z(l). Calculate the highest common factor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(80)\/sqrt(5))\/((sqrt(4) + 1*sqrt(4))*-1 + sqrt(4)))\/(-1*sqrt(72) + sqrt(288)*3).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 11*b + 5. Let a be ((-4)\/(-7))\/(2\/7). Let i(q) = -6*q + 68 + a*q - q - 70. Give 5*i(j) + 2*o(j).\nAnswer: -2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15304734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2. Let h(t) = t + 4. Let p = 1 - -4. Let a(i) = 2*i + 5. Let s(c) = p*h(c) - 4*a(c). Give o(s(n)).\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*6\/(-9). Let t = 526 - 525. Which is the closest to w? (a) -3\/5 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(20) - sqrt(5)) + (((sqrt(5) + -1)*-6)**2 - sqrt(5)) - ((-1*sqrt(80))\/sqrt(8))\/(-2*sqrt(288) + sqrt(288) + sqrt(2)))*6.\nAnswer: -4494*sqrt(5)\/11 + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/3 + 2335*u**2\/3 + 261800*u\/3 - 849660.\nAnswer: 5*(u - 9)*(u + 238)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (0 - 0) - (-3881 - -3869)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3 - 4 + 2. Let n(k) = -k**3 + 7. Let b = 28 - 22. Determine b*h(q) - n(q).\nAnswer: q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**7\/1575 - h**6\/450 + h**4\/90 - h**3\/45 + 23*h**2. Factor l(a).\nAnswer: 2*(a - 1)**3*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20425 (base 6) in base 11?\nAnswer: -2083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8103 = 5*m - 9*m, 3*f - 5*m = 24241. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**21*u)\/u*u**(2\/5)\/u)\/(u*u*u**(-33))**6 assuming u is positive.\nAnswer: u**(1032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 79*w**2 + 21*w + 3*w**3 + 8*w**2 - 19*w + 26*w**2 as v*w + c*w**3 + t + f*w**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -534*p**2. Let z(s) = -7*s**2. What is b(z(t))?\nAnswer: -26166*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23641935880.054949 - -23641922566. Let k = a - -13314. Let x = 0.055 + k. Round x to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -25\/23 (b) -0.53 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -1\/3*z**3 + 0*z**6 - 4 + 7\/2*z**2 + 0*z**4 - 1\/20*z**5 + 3*z + 1\/21*z**7. Find the second derivative of n(s) wrt s.\nAnswer: 40*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3715 - -3748 - (72 + -2 + 0)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 - 42430*w**3 - 78866300*w**2 + 48700596750*w + 48779420625 = 0 for w.\nAnswer: -4485, -1, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013886 to 6 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.0322 * -5\nAnswer: -0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8039 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.54 and 0.0849?\nAnswer: 0.300546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 49608 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = -58 + 65 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is a3c (base 13) in base 6?\nAnswer: 12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 1691\nAnswer: 23674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + -17 + (16 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 (base 11) in base 16?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1*(-53)\/1590*(-12)\/(-15)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42491.\nAnswer: 42491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**3 - 5*x**2 - 4*x - 4. Let i(c) = 21*c**3 + 26*c**2 + 21*c + 21. Let b(y) = 2*i(y) + 11*n(y). List the prime factors of b(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131480 is divided by 1065740.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 7 + 1. Let b be 3*g\/(-12)*-2. Let d be 5 - (b - 1 - -2). Solve 0 = -d*v + 1 + 19 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/18 (b) 62 (c) 2339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 863542 to the nearest one thousand.\nAnswer: 864000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 55 = -20*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-6))\/((-1)\/(-4)). Let o(t) = -t + 6. Let x be o(4). Suppose -w = -x*u + 6, -5 = 5*u + 3*w - 42. Solve -3*b - u = -a*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + (7 - (34 + -57)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -88 (b) -0.2 (c) 4 (d) -14 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*g = 6*l + 1555, 0 = 2*l - g - 785. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 10*n. Let o(c) be the first derivative of -c + 3\/2*c**4 + n*c**3 - c**2 - 1. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*b - 4*y, -3*b + 18 = 3*y + y. Calculate the smallest common multiple of 11 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38639 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25\/10*48\/(-30). What are the prime factors of t + 2 + (1 - -1625)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 163, 389, 699, 1087, 1547?\nAnswer: 2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*(-5560)\/(-3500) + -44.\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v - 2*v - 6*v. Let b(d) = -8*d**2. Give s(b(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1576 = -3*l + 1572, 4 = 5*l + t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40634598 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s - 2. Suppose 0 = -y + 2*a + 5, -22*a + 7 = 2*y - 23*a. What is z(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:01 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2403294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 - -15.1.\nAnswer: 15.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210 divided by 88026?\nAnswer: 65\/2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*x + 16 = -36*x. Suppose x*m - 1277 = -77. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(220)\/sqrt(11) - ((sqrt(80))**2 + -3)) + (sqrt(5)*2)**2*5 + 1*-1*sqrt(5) + -4 + -2.\nAnswer: 2*sqrt(5) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14838 - 13230. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47083395 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 9:41 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*w**6 + 163*w**5 + 22*w**2 + 115*w wrt w.\nAnswer: 1680*w**3 + 9780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*q**4 + 121*q**2 - 120*q**2 + 42*q**4)*(-3 - 2 - 3) to l*q + i*q**3 + x*q**2 + n*q**4 + v and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30377 and 111.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-105))\/2*1*16.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.27 - -5.27. Let p = -40 + 35. Which is the biggest value? (a) p (b) f (c) 1 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*k - 113 = 179*k - 21. Solve 0 = -h - 2*u + 8, -k*u = h - 23 + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 + -22. Suppose 0*j - f = -4*j. What is the least common multiple of j and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/15)\/((-2)\/(-20)). Which is the second smallest value? (a) 0.1 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42055 - -5?\nAnswer: -42050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5129536991.\nAnswer: 5129536991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a week?\nAnswer: 92736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - -29. Let c be 323\/3 - 6\/(-18). Let j = c - i. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56674368 divided by 24.\nAnswer: 2361432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 42. Let z = 13015 - 12973. Is z greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**6\/h)))**(6\/23)\/((h\/h**(-4\/7))\/h*h**6) assuming h is positive.\nAnswer: h**(-806\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -502278 (base 15) to base 11.\nAnswer: -2169163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -8*u + 1071. Which is smaller: 120 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -v + 24, 0 = 2*v + 5*a - 5 - 18 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13393*s**3 + 13392*s**3 + 5*s**2 + 0*s**4 - 7*s - 5*s**4 to the form y*s**2 + a*s**3 + i*s + o*s**4 + x and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-170*g**2 + 58*g**2 - 208*g**2)*(-16*g**2 + 4*g**2 + 28*g**2) to h*g**3 + i*g**2 + z + k*g**4 + l*g and give k.\nAnswer: -5120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -1\/9, 231\/80, -5 in decreasing order.\nAnswer: 231\/80, -1\/9, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 27 + 12 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166987.\nAnswer: 166987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 321 = 303 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t = 1302 - 854 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -135*g - 83. Let d be k(7). Let o = -528 - d. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/23, -2\/15, -9, 1\/3?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 879060 and 70200?\nAnswer: 79115400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 + 55*w**2 - 181*w - 21. Let y be z(14). Let b(q) = q - 5. Let k(v) = -v + 2. What is y*k(n) - 3*b(n)?\nAnswer: 4*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmspmwpmppm. What is prob of picking 1 m and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3395, -6790, -10187, -13586, -16987, -20390, -23795?\nAnswer: -27202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 549.07 - 552. Let q = 0.13 + d. What is q rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617102, -617110, -617138, -617192, -617278, -617402, -617570?\nAnswer: -617788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288747607*u - 288747607*u + 3*u**3 - 2*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*h = 33*h - 19*h - 5*h + 1702 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -51 - 33187*v - 11 - 3. Let u be b(5). What is u rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100011 - -11?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -675. Let i = q + 1579\/7. What is the second biggest value in 0.1, -6, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 5*n**2 + 4*n - 8. Let y be g(-6). Sort -2\/3, y, -1\/4 in decreasing order.\nAnswer: y, -1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5448)\/454*35\/28*4\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by ((-6)\/5)\/((-22)\/(-110)) + (-3 - -144).\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*a - 3*p - 255, 4*a + 4359 = 2*p + 4529 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Let b = f - -3. Let p be ((-102)\/(-85))\/(1*4\/(-10)). What is the nearest to b in p, 0.4, -2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**(-24)*(v**10)**(3\/5) assuming v is positive.\nAnswer: v**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/3)\/(-1) - -11. Suppose -2*b + m = 2*b. Suppose 0 = b*c + c - 28. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.37487 to one decimal place.\nAnswer: 19.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -61*j**2 - j - 1. Let m(a) = a**3 - 3*a**2 + 1. Let d be m(1). Let o be n(d). Let r = o + 86. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25175976 divided by -6?\nAnswer: -4195996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/79, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) + 1149\/9. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.1, -2\/3, -10, 5 in ascending order.\nAnswer: -10, -6, -2\/3, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10159.\nAnswer: 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 26*v + 100. Let k = 29 + v. Solve q = -p + k*q - 8, -3*p = -5*q + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 14) to base 2.\nAnswer: 111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.03385 rounded to 2 dps?\nAnswer: -14.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1063*b**2 + 20 - 62 - 161.\nAnswer: 1063*b**2 - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/42 - (-104)\/7. Which is bigger: p or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + v + 463, 4*v = 3*m - 1392. Is m a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**2 + 251*u - 481*u**4 - u**2 + 66*u wrt u?\nAnswer: -5772*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45820827?\nAnswer: 3, 13, 391631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c, 4*g = -0*g - 4*c + 112. Let t = g + -14. Solve 2*w - 3*a - t = -7*a, 3*w - 12 = 3*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -739997145, -739997146, -739997147, -739997148, -739997149, -739997150?\n\"Answer: -d - 739997144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/25376445 and -89\/1309752.\nAnswer: 203011560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2418 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 26*j**2 - 32*j - 77. Let o be v(-23). Let a = o - -932. What is the closest to -19 in a, -3\/4, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*z - 2*z + 4, 0 = -z - 1. Suppose 2*n - 94 = -3*r, r - n = -x*n + 34. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-45) - (-24)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - 49) + -11 + -5 + 7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.06 + 0.04. Which is the nearest to 0.1? (a) p (b) -6 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t - 12. What is a(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 54 + 4 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 17 + 9. Let u = l + 38\/3. What is the biggest value in 0.2, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33516014, -67032029, -100548044?\nAnswer: -134064059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1216*s**5 + 14354*s**2 + 15276159*s wrt s.\nAnswer: -24320*s**3 + 28708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {o: 1, i: 1, t: 4, x: 4, p: 1, e: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 33*p + 115. Let n be b(0). Solve -111*v + n*v = 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 29*k + 9 + (0*k - k + 3*k)*(3 - 2 + 1).\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 16*i + 19. Let x(q) = q**2 - 27*q + 77. Suppose 5*m - 100 = 15. Let n be x(m). Determine u(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 9 = -0*u + 5*u, 3*u = 5*m + 39. What is the remainder when m + (-225)\/(-5) + 0 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:52 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 11*y - 10*y + 2*y + 44*y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31145*d**2 - 31145*d**2 - 6*d**3 + 7*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -189748*s + 232120 wrt s.\nAnswer: -189748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16, 53, 108, 187, 296, 441, 628?\n\"Answer: h**3 + 3*h**2 + 21*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/7020*48)\/(108\/(-234)))\/(119\/(-9))?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 518193 and 77727?\nAnswer: 1032758649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 302919*q - 2120457. Give m(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*3*sqrt(480))\/(3*-4*(sqrt(216) - sqrt(216)*2)) + -1.\nAnswer: -2*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 123 - 100. Let w(l) be the second derivative of l**4\/4 + 2*l**3\/3 + 2*l**2 + 3*l. Calculate the remainder when w(4) is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -16 - 0. Let b(l) = l + 2*l - 4*l - s. Calculate b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13102?\nAnswer: 2, 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 170720*w**2 - 2*w + 10. Let l be o(5). What is l rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1755.87325 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 5, l - g = -13 + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 8 (c) -2\/245 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 12*y**2. Let d(s) = 12910*s. Give d(i(k)).\nAnswer: 154920*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from ulxgg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -259*d**2 + 1232*d + 180. Determine c(4).\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/2 + 445*f**3\/2 - 29857*f**2\/2 - 61045*f\/2 - 15372 = 0?\nAnswer: -504, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*s = -6. Let j be (-10)\/(-6) - s*(-10)\/45. Let n = 305 + -3353\/11. Are n and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 6?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2224 and 539984?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194245888 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 19*r = -16*r - 775, 0 = -2*w + r + 395. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2310 divided by -6\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58563*a**6*q**2 - 3*a**2*q**2 + 431*a**2*q + a*q**2 + 3*q**2 wrt a?\nAnswer: 7027560*a**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -64. Which is smaller: f or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6741 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 323.9529mm?\nAnswer: 323952.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239.34 - 249.883. Let g = 0.457 - h. Put -1, -0.1, g in decreasing order.\nAnswer: g, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59788.46 centimeters in kilometers?\nAnswer: 0.5978846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/3 + 284*x\/3 = 0?\nAnswer: 0, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(5\/4)*m))\/m**(-2\/13))\/(m\/(m\/m**(1\/2)*m))**(-2\/19)*(m**(-1\/3))**(-10)*m**(-7)*m**(-1\/4) assuming m is positive.\nAnswer: m**(-8989\/1482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -213351931.\nAnswer: 213351942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 18. Determine l(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99\/2 + 299\/8. Calculate the common denominator of -25\/2762 and i.\nAnswer: 11048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 266 = 2*i - 27, 4*q + 3*i - 391 = 0. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b**(-8)*b)\/b*b)**36\/(b\/(b*b**(3\/16))*b**(-1\/3)) assuming b is positive.\nAnswer: b**(-10343\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 3*b - 5*w, -4*w - 1978 = -5*b - 2035 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2. Suppose -11 = -o - 7. Let s(w) = o*w + w - 3*w. Determine s(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*f + 107*f**4 + 106*f - 2*f**2 - 2*f**4 + 2*f**2 + (0*f + 0*f + f)*(-2*f**3 - f + f) in the form j*f**4 + c*f**2 + v*f + o*f**3 + x and give j.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -1\/7, -5, -0.66 in ascending order.\nAnswer: -5, -4\/5, -0.66, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6346*y + 219*y**2 - 1132*y**2 + 6346*y.\nAnswer: -913*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22102102222 - 11?\nAnswer: -22102110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/5862101 and 37\/2645727?\nAnswer: 298967151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 117065507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 5, 2, 0 in decreasing order.\nAnswer: 5, 2, 0, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-60) - 15\/4. What is the third smallest value in 0.3, -1\/3, t, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -842, -3, 0 in increasing order.\nAnswer: -842, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 36 + 7)*(0 + 0 + 2)*(-o - 2*o + 6*o).\nAnswer: -198*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8729239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t + 10. Let w(p) = 11*p - 8348. Calculate -6*k(b) - w(b).\nAnswer: b + 8288","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 2*q - 2. Let d be k(-2). Suppose -3*c - c - 4*j = 32, -3*j = -c. Let s be -3*(-1 - d\/c). Solve n + s = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z + 30. Determine p(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15919.2 + -1.3551507.\nAnswer: 15917.8448493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 24*s**2 - 145*s - 6. Let h(c) = 68*c**2 - 433*c - 17. Give -4*h(g) + 11*m(g).\nAnswer: -8*g**2 + 137*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 = 2. Which is the nearest to -0.2? (a) m (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -337.7 - -310. Let x = -32.7 - h. Put 6, 4, x, -4 in decreasing order.\nAnswer: 6, 4, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15028699.\nAnswer: 7, 29, 101, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 + 13*l**2\/2 - l = 0. What is l?\nAnswer: 0, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/509502 and 117\/13416886?\nAnswer: 40250658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - 3*n + (-4*n + 0*n + 3*n)*(-1 + 0 + 3) + 3*n + 0*n - 4*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 35392.818 to the nearest 100.\nAnswer: 35400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196720709 and 5.\nAnswer: 983603545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -20*r - 20. Let g be u(-3). Suppose -5*z = k + 25, 0*k + 17 = -k - z. Let s = k + g. What is the highest common factor of 50 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*g - 7 = -2, -5*q = -3*g - 90. Let w(d) = d**3 - 15*d**2 + d + 9. Let j be w(q). What is the units digit of (-2 - -1 - j)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 10:09 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/5 + 8888\/4040)*1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96321 and 6111?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-96)\/(-14))\/4)\/(1\/17675). Round m to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - ((-819)\/208 - (-1)\/(-16)))*1. Find u, given that 20\/9*u**z + 8\/3 + 100\/9*u - 32\/3*u**2 = 0.\nAnswer: -1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*i - 14. Solve d = 5*t - 15 - 4, -5*t = 3*d - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -72. Suppose -2*n - 532 = 7*f - 3*f, y*n - 254 = 2*f. Let b = -121 - f. Solve -16 = -4*i, -2*s + i = -0*s + b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/198)\/((-3)\/(-6)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {o: 1, y: 1, c: 10, t: 1}.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**4\/12 - 9*y**3\/2 + 5*y**2\/2 - 68*y. List the prime factors of w(-14).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475 is divided by 268.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79*f*w**2*x - 2*f*w**2 - 2*f*w*x - 217*w**2 - 3*w*x - w wrt f.\nAnswer: 79*w**2*x - 2*w**2 - 2*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160512 is divided by 196?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 471, 1271, 2779, 5229, 8855, 13891?\nAnswer: 20571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**5 - 14*s**5 + s**5 + (-16*s + 0*s - 2*s)*(0*s**4 - 5*s**4 + 3*s**4).\nAnswer: 22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 405445?\nAnswer: -8\/405445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112\/(-792) + 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1893 + 6*t**3 + 11*t**3 + 1897 + 0*t**3 + 0*t + 0*t.\nAnswer: 17*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 16. Let z = -5.8 - h. Let q = 3.6 - 0.6. What is the closest to z in -0.1, -0.3, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(18)\/(sqrt(9) - (sqrt(36)\/sqrt(4) - sqrt(9)))) + 0 + (sqrt(11) + 0 + 1)**2 + 1.\nAnswer: 3*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 16. Suppose -5*g = 4*b - 336, o*b + 2*b + g = 168. Suppose -7*w + 3*w + b = 0. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 2*x + 2*x)*(-2*x - x + 2*x) - 2*x**2 - x + x + (-1 + 1 - 2*x)*(-5 - 6 + 1)*(-3 + 3 + 4*x) to h*x + y*x**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:27 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*c*p**2*v + 22*c*p*v - 7*c - 16*p**2 - 2*v wrt v?\nAnswer: -49*c*p**2 + 22*c*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/21, -1168, 6\/11, 64, -8 in increasing order.\nAnswer: -1168, -8, 2\/21, 6\/11, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 1530 in descending order.\nAnswer: 1530, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 200413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 564*i + 14220.\nAnswer: 3*(i + 30)*(i + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 74*m + 3326. Calculate q(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*o + 13 - 39, 5*o = 4*y + 9. Let m(g) = -52*g**2 - 110*g**2 + 4 - y. Let k(b) = b. Determine k(m(p)).\nAnswer: -162*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7677518?\nAnswer: 2, 29, 132371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 5*i + 4*i - 132 = 0. Solve 0 = y + i*f - 20, 3*y = -0*f + 2*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qexwxxiqqxmx. What is prob of sequence xx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/174713385 and 23\/535227.\nAnswer: 1222993695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 - k**3\/2 - 9*k**2\/2 - 8*k. Let a be i(5). Let n be ((-8)\/10)\/(a\/(-5)). Solve u + n*u = -15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -19*c - 9. Let n(t) = -5*t - 2. Let b(l) = -2*j(l) + 9*n(l). Let u(f) = -f. Determine b(u(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 209912.\nAnswer: 13224456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 146?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-540)*-16*20\/(-8)*1?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*i - 44 = 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5447664127 to the nearest integer?\nAnswer: 73808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let m(g) be the second derivative of -g**3\/6 - 6*g. Give q(m(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 64 and 1.306.\nAnswer: 83.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.715067ng in tonnes?\nAnswer: 0.000000000000002715067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3572.44mm to centimeters.\nAnswer: 357.244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Suppose 2*o + q + 3*q = 0, 0 = -3*o - q + 5. Suppose l + 150 = 5*d, 0 = -o*d + 5*d + 3*l - 90. Solve -f*a = 3*i, -d = -a - 0*a + 5*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(7*c + 9*c - 18*c - 26).\nAnswer: -4*c - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + -5 - -1 - -28.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 - 82 + 27 = -5*g + 4*o, 0 = g + 5*o + 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39 + 0.09. Let f = -29.3 + 28. Let b = f - l. Which is bigger: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, -1, -19 in descending order.\nAnswer: -1, -2, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354183.6 micrograms in nanograms?\nAnswer: 354183600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 189 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and 759?\nAnswer: 46299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9 - 70\/(-7) - -1961.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-329)\/4)\/(1 - (-5)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 736 by -131544.\nAnswer: -92\/16443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * -937\nAnswer: -159.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.06 - -0.06. Let r = -11 - m. Let b = -5.3 - r. What is the smallest value in b, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) 0.7 (b) -10602 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (291*i + 148*i**2 - 291*i)*(2*i - i - 2*i) + 12*i**3 - 33*i**3 + 12*i**3.\nAnswer: -157*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.4. Let v = 122.2 - 122. Let t = -115 - -227\/2. Which is the nearest to -1? (a) v (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0893327 to four dps.\nAnswer: 0.0893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2686 - 2725 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 + 238. Is 79 equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.05 (b) -13 (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 9*r - 5*r**2 - 9*r)*(-2*r + 4*r + 0*r).\nAnswer: -10*r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7119*p + 106780. What is h(15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 (base 15) in base 13?\nAnswer: 42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43131430001 - 3?\nAnswer: 43131425554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 2*d**2 + 923*d - 910*d - 2*d**2 - 18. Let z be a(3). Find t, given that 0 - 1\/2*t**4 + 0*t + t**z + 0*t**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310316465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1 + 0 - 8 - 3*l + 2*l. Let w be y(-8). Let f be 15\/51*2\/5. Do f and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 14*a = 2128. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 371250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117848 and 95.\nAnswer: 11195560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*x**3 + x**2 - 33418*x.\nAnswer: 150*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 6*n**2 - 9*n + 18. Let s be r(7). Let p(j) = -j + 1. Let x be p(s). Which is the closest to 0? (a) 0.16 (b) x (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.7. Let l = i - -7.5. Let j = l + -6.95. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 137280 = 95*j. 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 units digit of 2016?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-3)\/1))\/(((-30)\/6)\/15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjlulljejjwjjjeujly. Give prob of sequence ewj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.25 + 51.75. Let d = -0.75738 + 53.76048. Let f = d - z. What is f rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 5427.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 16*a**4 - 2*a**2 - 13*a. Let t(z) = 8*z**4 - z**2 - 6*z. Let f(r) = -6*d(r) + 13*t(r). What is the third derivative of f(c) wrt c?\nAnswer: 192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823 is divided by 2572.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/739 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84791?\nAnswer: 7, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 1 = 99 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3447854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 16*i**2 - 42*i - 366. List the prime factors of n(-30).\nAnswer: 2, 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.208 - -2.208. What is the closest to -1 in -1\/8, j, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n**3)*(1 - 1 + 2 + 3 - 1 - 3 + (4 - 2 - 1)*(-3 + 5 + 0) - 2 + 5 - 1 - 2 + 5 - 2 + 1 + 2 - 5 - 13 - 6 - 8)*(-2 - 1 + 4) + 0*n + 0*n - n**3.\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**3 + 9*c + 7. Let d(m) = -2*m**3 - 6*m - 5. Let k be 10\/2*(-1 + 0). Let b(p) = k*h(p) - 7*d(p). Find the second derivative of b(f) wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368769194 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-3)*6\/4. Suppose -4*a + 8 = -2*s - 3*a, 5*s + 22 = 3*a. Sort z, 0, s in decreasing order.\nAnswer: 0, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -11565309.\nAnswer: -1\/11565309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 13*x**2 - 3*x + 44. Let l be o(-13). Let w = l - 79. Suppose 0 = -v + w*q + 1223, -2*v = -4*v + q + 2481. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.3. Let z(l) = -8*l - 24. Let n be z(-10). Let y be 6\/(-14)*n\/(-32). Which is the closest to r? (a) -1\/2 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6789 - 0.6789. Let m be (-1106)\/200 - (-14)\/56. Let r = m + 42\/25. What is the third biggest value in r, d, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5084 + -5192. Let f = 95 + -201. Is g >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 544 - 8?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -30690*v + 30688*v + 8, 6 = 3*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 67.\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335826 is divided by 111221?\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 > -782.2468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9405 and 240911.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times 4.8618?\nAnswer: -1.312686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39462?\nAnswer: 2, 3, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzttcbcttcczzzz. What is prob of picking 3 t?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 85\/(-20) - 24\/(-288). Let s(h) = h**2 - 4*h. Let f be s(5). Which is the third smallest value? (a) t (b) f (c) -1\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 16. Solve a*g = -g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 - 176. Is (-357127)\/(-413) + 4\/14*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8667 - -8695. Let u(n) be the third derivative of 0 - 8\/21*n**3 - d*n**2 - 2\/21*n**4 + 0*n - 1\/105*n**5. Suppose u(h) = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 7 = 4*w - 3, -2*l = 2. Suppose 4*r + 5 = -r, -3*i - w*r + 204 = 0. Calculate the remainder when i is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0306 + -3.0306. Sort -0.4, l, 2, -17.\nAnswer: -17, l, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (9\/(-2))\/(2\/(-12)) and -2 + 1 + 3 - -2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l + 7 = 0. Let b(v) = v**3 + 6*v**2 - 10*v - 4. Let x(t) = 11*t**2 + 5*t - 6. Calculate the remainder when b(l) is divided by x(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5845568 is divided by 11507.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75562991 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - m + 297 + 16, 4*m = -8. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188502.\nAnswer: 2, 3, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/98010 and -91\/877250?\nAnswer: 71057250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 95 = -5*d, d - 5*i + 0*i - 31 = 0. Calculate the lowest common multiple of 6 and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 568 (base 11) to base 2.\nAnswer: 1010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7eb7 + -1?\nAnswer: 7eb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9 - (-2 + 1 - -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -18*v + 2. Let f be p(-1). Suppose i + 0*i - 4 = 0. Let z = f + i. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a**2 - 11*a - 8. Let f(t) = 6*t**2 + 11*t + 8. Let w(j) = -6*f(j) - 5*o(j). Suppose 2*m - y + 0*y + 16 = 0, -4*y = -4*m - 28. Does 10 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -u - 4*u. Suppose 4*t = -4*m - 8, 0*t = -u*m + t - 16. What is the closest to -1 in m, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162020.232 to the nearest one hundred.\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 6*w**2 - 6*w + 13. Let g be u(6). Let k = -15 - g. Solve -f - f - k = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 702 + -702. Which is the biggest value? (a) f (b) -0.4 (c) 2\/7 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 581380512 to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + f - 35 - 207, 5*f = 5*a - 1210. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4 + 22. Calculate the highest common divisor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/7 and (31 + -28)*10\/(-34)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-905)\/77 - (-2)\/11\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x + 2. Let i = x + 2. Let t = 2.2 + -2. What is the third smallest value in i, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252888 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l - 4*l + 5*l)*(20*l**2 + 21*l**2 + 33*l**2) to the form j + i*l**3 + w*l**2 + c*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-7))\/(5\/(-35)). Solve -w = -3*q - 1, 5*z = 3*q + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*h**2*r*y**2 + 386*b**3*r**2*y + 2*b**2*h**2*y**2 - 2*b**2*h*r**2 + 40*b**2*r*y**2 - b**2*r*y + 2*h**2*y**2 wrt b?\nAnswer: 12*h**2*r*y**2 + 2316*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 2\/9, 243 in increasing order.\nAnswer: 0.2, 2\/9, 3, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-10))\/(-6)*(188\/(-40) - -4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4 (b) -0.4 (c) 1\/10 (d) 1\/2 (e) -0.019\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29975636 to the nearest integer?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 divided by -345955?\nAnswer: 39\/69191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*h - 30. Calculate the common denominator of 16 and (-247)\/30 + 10\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 10*w**2 - 11*w + 5. Calculate the remainder when g(8) is divided by (-4)\/(0 + (-3)\/12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(576)\/sqrt(3)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256 (base 10) to base 13.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*p**2 - 3*p**3 - 27*p**2 + (-2 + 7 + 3)*(0 + p**3 + 0).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 2:53 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 38. Let q be d(35). Let c = 108 + q. Solve c = 4*s - 0 + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-35) - (0 - 2\/7). Suppose 3*k - r - 13 - 32 = c, k - 22 = -2*r. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 61 and 33 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 3:41 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 5 + 9*o**2 + 17.\nAnswer: 9*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(99) + sqrt(99) + 3) - sqrt(99) - -5*(sqrt(99) + 3)) + -4 + 1 + -1 + 4)**2.\nAnswer: 144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 9. What is the second derivative of t**s + 9*t**4 + 24*t - 58*t - t**4 wrt t?\nAnswer: 96*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 9) in base 6?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 509 - 118 = 5*q, -2*i + 420 = -3*q. Calculate the remainder when 234 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2009, -2035, -2127, -2285?\n\"Answer: -33*a**2 + 73*a - 2049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -8\/7, -15, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 20465491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-57)\/(-15) + (-2)\/(-10). Let a(d) = -c*d - 5 + 5. Let m(g) = g**2. Calculate a(m(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/4, 1\/77, -0.03 in descending order.\nAnswer: 1\/4, 1\/77, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 241, 315, 389?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 7*i + 5. Let q be a(-5). Let m = 15 + q. What is the remainder when 37 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*r - 2*r + 1 - 7 + r wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 1)*(-2*l + 6*l - 2*l) - 3*l + l + 6*l to the form r*l + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*b + 106*b - 6*m + m - 6 = 0, -17*m + 13*m - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-25)\/10 - 35\/(-10). Let a be (-1710 - -6)*(r - (-10)\/(-6)). What is the greatest common factor of 71 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 10. Let r(o) = -4*o**3 + 3*o**2 + 4*o + 6. Let l(f) = 5*f**3 - 2*f**2 - 4*f - 6. Let m(i) = -6*l(i) - 7*r(i). Is 8 a factor of m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**5\/60 + g**4\/24 + 5*g**3\/6 - 3*g**2. Let k be c(0). Let q(d) = d - 1. What is the units digit of q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-15)\/2 + 4. Let d = -73\/3 + 24. Is d greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/2 (b) -237 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m - 108 = -20*m. Suppose -52*d = -55*d + m. Calculate the highest common divisor of d and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 + -212. Let k = -60.22 - v. What is k rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 182.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/4 (b) 2\/3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4 + 6*w**3 + 9*w**2 - 4*w - 12.\nAnswer: (w - 1)*(w + 2)**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*a - 5877 - 2480 = 923 for a.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5 - 6697*m**4\/3 + 4466*m**3\/3 = 0?\nAnswer: -2233, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svl when three letters picked without replacement from {l: 3, i: 4, x: 6, s: 4, d: 2, v: 1}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 49 (c) 2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*q = 155*q - 220. Solve -3*o - 40 = -q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -8\/158715 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.16841 and 1.\nAnswer: -2.16841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -411.246 to the nearest integer.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 + -226. Solve -3*z = -6*z - l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - 3*o + 3. Let k be m(3). Suppose -903 = -5*f - 4*l, f - l - k = 147. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1406 = 4*a, -710 = 3*a + 2*b - 1790. Calculate the remainder when a is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v - 4. Let m be (-1 - 5\/(-3))*18. Suppose 0 = -v*d + 2*g - 3*g + 6, -4*d + 2*g = -m. Solve 3*o = 3*q + 6, 5*o = -d*q + q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 62*m**5\/7 + 48*m**4 - 4070*m**3\/7 + 9432*m**2\/7 - 5760*m\/7 = 0.\nAnswer: -12, 0, 1, 80\/31, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114257 and 1256827.\nAnswer: 1256827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -60, -79, -86, -75, -40?\n\"Answer: f**3 - 3*f**2 - 23*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21073800 divided by -660?\nAnswer: -31930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -358749 or -358780?\nAnswer: -358749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - 17. Is (1 - 14)\/(2\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703523 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 7. Let z be b(7). What is the units digit of 256\/z - 4\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99779319 by 107.\nAnswer: -932517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*u - 4*u**2 - 25*u + 3*u**2 in the form q + r*u**2 + g*u and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - -16373?\nAnswer: 1638d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176939 - 88471 - 88468 + 59*u - 18*u**2.\nAnswer: -18*u**2 + 59*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 2. Let l = -10 - -6. Let r be q(l). Let y(n) = 4*n**3 + n**2 + 1. Is y(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4335 + 4*c**2 - 4335. Let d(v) = -11*v**2. What is z(d(w))?\nAnswer: 484*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 580 in -7.2, -2, 7, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10898221 is divided by 412?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 19*n. Let x be a(-1). Let r = x + 14. Let g(d) = -17*d - 26. Let h(q) = -6*q - 9. Let i(l) = -3*g(l) + 8*h(l). Give i(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*b - 368 = 33*b + 228*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-7)\/l)**20)**21)**(-41))**20 assuming l is positive.\nAnswer: l**2410800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 11*d**2 + d - 33. Let g be t(-11). Let s = g + 61. Calculate the greatest common factor of s and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2123*w - 49297. Calculate f(23).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33*49\/(245\/(-30))*14\/(-63).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 10. Suppose -3*v + 24 = 3*q, 1 = 2*q - 2*v + v. Let j(y) = -5*y - 21. Let d(b) = q*j(b) - 7*u(b). What is the first derivative of d(s) wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.0329548 days?\nAnswer: 0.7909152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*q + 15, q - 31 = -2*x - 2*q. Let k = x - 15. Let u(b) = -2*b + b - b + b**k + 6 + 3*b. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*j + 23 - 4 = 0, 2*u + 4*j + 28 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 1. Let n be y(2). Let r = -8 - -14. Is r greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15166?\nAnswer: 2, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/58744481?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 10. Let z be u(7). Suppose -z + 0 = -r. Suppose 0 = 6*i - r*i. Solve i = -6*f + 3*f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/13 - 10948*d**2\/13 - 64834*d\/13 + 4275976\/13 = 0.\nAnswer: -5468, -23, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*z**3 + 5*z**2 + 2833 + z**2 - 1418 + 11*z**3 - 1415.\nAnswer: -130*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 28 = 62*h - 59*h, 11 = 4*n + h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (4 - 2)\/(-2). Let v = 3 + x. Suppose 8*p - v*p - 10 = 0. Solve 0 = -p*d + 4*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y - 118. Determine r(13).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + 3. Let h = -115 + 118. Calculate the highest common divisor of i and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(459) + sqrt(51) - sqrt(51))\/(sqrt(3) - (sqrt(3) + 1*sqrt(3))*-3 - sqrt(3)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**2 + 3. Let m(q) = -89*q**2 - 7 + 94*q**2 - 132*q + 132*q. Let j(l) = 4*m(l) + 9*t(l). Give j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22)*i**(-14)*(i**27*i)\/(i**23*i))**43 assuming i is positive.\nAnswer: i**(-1376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212630 + 212646. Let b = 1 + 3. Suppose -5*m + b*k + 245 = -631, 0 = 5*m + 4*k - 884. What is the greatest common factor of d and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334444 (base 5) to base 15.\nAnswer: cb9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 131 + r - 131. Let b(v) = -v. Suppose -4*t - 20 = -2*j + 6*j, 2*j = -4. Give t*b(q) - 2*d(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3448 (base 13) to base 2.\nAnswer: -1000111100001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1534 by 3.\nAnswer: 1534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**2 + 1097 + 3*d**2 - 650 + 24*d**4 - 8*d**2 + 887 + 11*d**3 wrt d.\nAnswer: 576*d + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405 is divided by 567.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 17*v. Suppose -2*p - 2 = 2*g, 2*p = 5*g - 6*g - 5. Let r(y) = -y**2 + 8*y. Determine g*w(l) - 7*r(l).\nAnswer: -2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 5. Let c = 1 - -1. Suppose -2*p - 10 = 0, c*p - 7 = -3*u + p. Determine b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/22854 and 113\/11520.\nAnswer: 43879680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120236579?\nAnswer: 19, 2269, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2606*x**3 - 12*x**2 - 29*x - 12. List the prime factors of z(-2).\nAnswer: 2, 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 21*x + 0 - 1.\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79212*j**4 - 35*j**2 + 5994871*j?\nAnswer: -950544*j**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, f: 8}. What is prob of sequence sfs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:51 PM?\nAnswer: 601","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*k**3 - 27*k + 2 wrt k?\nAnswer: 1080*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-18)*i)\/i*i*i)\/i)\/i**(1\/22)*i**(-2\/69)*i*i**(1\/34)\/i assuming i is positive.\nAnswer: i**(257479\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 67277783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 5 (c) -1598\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (16\/24)\/(4\/258)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*1\/(20\/12). Suppose -3*l + 10 = 2*l. Calculate the greatest common factor of a and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**4\/24 + 5*p**3\/6 - 21*p**2 + 81*p. Let i(y) = 3*y - 3. Let d be i(6). Suppose -4*l + 9 = -d. What is r(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j + 26. Let a(d) = 70*d - 103. Determine -6*a(b) - 22*u(b).\nAnswer: -24*b + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*u, -4*u = l - 4*l + 29. Suppose -3*g + 15 = 0, -2*g = -l*q - 2 + 10. Solve -h + q = 4*o, 0 = -2*h - h + 2*o + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24325561 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*w + 2 = 0, -5*t + 34 = -2*w - 4. Let z(u) = -u**2 + 13*u. Let d be z(6). Calculate the greatest common factor of t and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4, -5*u + 2*z + 558 = -2*z. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 19452, 19429, 19396, 19347, 19276, 19177, 19044?\n\"Answer: -x**3 + x**2 - 19*x + 19471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.521285um?\nAnswer: 0.000521285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - b - 10 = 0, 4*c + 8 + 18 = 5*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11840681520 and 0.2.\nAnswer: 11840681520.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxgxxxggxggg. What is prob of sequence ggx?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -371.15 times 2.3?\nAnswer: -853.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000786676 to 6 decimal places.\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5*x = 22, 0 = -5*a + 78*x - 76*x + 36 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*m + 1, k - 4*m = -4*k + 11. Suppose -3*w - 3 + 36 = -k*b, 3*w - 29 = 5*b. Solve 0*c + 7 = j - c, 4*c = j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*x - 11, -u + 5*u - x = 18. Let k = 1919 + -1909. Put -1, u, k in descending order.\nAnswer: k, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -o + 6*o + 3, o + 5 = 3*n. Let q be n*(-2 - -1)*1. Let l be 4*(-1 + 2 + q). Are l and -4 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -348 - -523. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13653 and 5402074.\nAnswer: 1993365306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 + 1. Let f(t) = -t - 4. Let d be f(-8). Suppose b - 3 = d*b. What are the prime factors of k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l + x + 11472, -l + 2887 = -5*x. What are the prime factors of l?\nAnswer: 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 195 + -431. What is the tens digit of d\/(-7) - 2\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*x + 14 = d, 0 = -4*d + 3*x + 27. Let g(n) = -n**3 - 172*n**2 + 4 - d*n + 175*n**2 + 4*n. Calculate the lowest common multiple of g(3) and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/20 - 7*y**4\/24 - 7*y**3\/6 - 5*y**2\/4 - 3*y + 377. Factor l(h).\nAnswer: (h - 5)*(h + 1)*(2*h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vphvdhdduiuddi. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/13862 and -7\/4273798?\nAnswer: 123940142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**2 + 4*g**4 - 7*g - 2*g - 7*g**4 + 8*g**3 - 3*g**4 + g**5 = 0. Calculate g.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**2 + 13*u + 2. Let y be k(3). Factor 0*q + 3*q + y*q**2 - 3*q**2 - 4 + 3*q.\nAnswer: 2*(q + 2)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 177*l**2 - 49*l - 10125?\nAnswer: 354*l - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -6*x**4 + 11*x**3\/3 - 11*x**2\/2 + 138. Let h(j) = 5*j**3 - 2*j**2 + 2*j. Determine -11*h(b) - 2*r(b).\nAnswer: -7*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1413 and 25\/110862?\nAnswer: 17405334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*n**4 + 16*n**3 + 24*n**2 + n - 326940?\nAnswer: 252*n**2 + 96*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 - 3*s**2 - 6*s - 4. Let q be g(-4). Suppose -k + q = 3*j, -2*k + 5*j = -0*j - 233. Suppose -75 = -4*t + k. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8256 = 13*o - 77*o. Is 2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n**2 - 237*n + 2594. Determine m(13).\nAnswer: 1541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*u - 85*u + 316. Suppose u*f = 162*f - 116. What is the remainder when 170 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g*z**3 + 95*g*z + 5051626*g + 11*z**3 wrt z.\nAnswer: 36*g*z**2 + 95*g + 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = u, -3*q = 4 + 2. Let s(g) = 2*g + 14. Let j be s(u). Suppose c = 2*c + j*x - 1657, c - 1685 = 3*x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -3*i + n, 3*i + n + 5819 = -6*n + 5801 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**3 + 135*s**2. Let d(m) = -11*m**3 - 269*m**2. Determine -3*d(r) - 5*f(r).\nAnswer: 3*r**3 + 132*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -45*y**2\/2 - 63*y - 41. Let h be s(-4). Which is smaller: h or 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5552725460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + j - j + (-j**2 - 2*j**2 + 2*j**2)*(-j + 0*j + 0*j) - 3 - 33*j**3 + 68*j**3 - 30*j**3.\nAnswer: 2*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165.4 - -165. Let g = 0.5 - 1. Let t be (-15)\/(-6)*(-8)\/35. What is the closest to t in g, s, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1)\/(-6*(-23)\/(-180780)) and 8?\nAnswer: 5240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 4. Let j = 8 + -5. Suppose -2*y + 3 = y - j*n, -n - 1 = -5*y. Solve -3*f - 2*p - 16 = 0, p = b*f - y*p + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -102?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390 - -405. Calculate the least common multiple of 49 and n.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49\/60 - 3\/4. Let w be 2\/(-5)*(-21)\/(-14). Let l = w - b. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3071231377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (1 - (2 - -2)). Solve 4*q = -20 + d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 5232, -0.3 in decreasing order.\nAnswer: 5232, 136, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((4 + -2)\/2). Find the third derivative of a*x**2 - 3*x**2 + 5*x**2 + 5*x**4 + 4*x**2 wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2995 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + b - 4)*(-1 + 1 - 2*b + 0 + b + 0 + (-2*b + 2 - 2)*(-3 + 5 - 1))*(-1772*b**2 + 5691*b**2 + 1835*b**2 + 2*b).\nAnswer: -17262*b**4 - 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 660139? (a) 5 (b) -5 (c) 1\/2 (d) 0.1 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/2 + (-13)\/(78\/(-45)). Suppose 5*j = t*r - 2*r - 40, 2*j = 4*r - 26. Sort j, 19, 2, 3 in decreasing order.\nAnswer: 19, 3, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:01 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 16. Let u = i - 4. Suppose -d + u - 1 = 0. Which is bigger: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.97 + 0.03. Let h = 9 + -5. Let n = 6 - h. What is the nearest to 1\/3 in n, b, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 159 and 152 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3940174 and 24580?\nAnswer: 39401740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5371157 is divided by 101.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 10*h - 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**2 - 66*i + 182. Calculate j(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -527\/346 - -4\/173. Let s = -0.87 - -0.17. Let m = -1 - s. Which is the nearest to 0? (a) f (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 2\/3, 0.59, -1.\nAnswer: -5\/4, -1, 0.59, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*l, -38*y + 2*l + 7*l - 11*l + 0*l + 294 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + t**2 + 3*t - 3. Let v be h(1). Let a(z) = -z**3 - 1. Let r(u) = 2*u**3 + u + 5. Calculate v*a(b) - r(b).\nAnswer: -b**3 - b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k**2 - 12*k + 36. Let l be z(6). What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (240\/(-68))\/5*((-92)\/(-690))\/(8\/(-40)).\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s + 0*s - 4*s - 4*s + 0*s + 5*s + (-4 + 3 - 1)*(0 + 0 - 2*s) - 2*s + 0*s + 0*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 43 - 23. Which is the closest to -1? (a) 0.4 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -58*s - 75. Let u(h) = 116*h + 150. Let m(j) = 3*u(j) + 5*x(j). Differentiate m(w) wrt w.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (1 - (1 + -9)) + 2 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(2205) - (2 + sqrt(2205))) + sqrt(2205) + (sqrt(45) - sqrt(360)\/(sqrt(32)\/sqrt(4))) - 4*sqrt(2205)*-2)**2.\nAnswer: -756*sqrt(5) + 178604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103895803\/18 + -5769666. Let m = o + -2324. Let j = 1\/74 - 3445\/296. Calculate the common denominator of j and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 + 19*q**2 + 107. Let h(c) = -6*c**2 - 1. Calculate 4*h(x) + n(x).\nAnswer: 2*x**3 - 5*x**2 + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3047622 is divided by 51.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44.1 - 12.9. Let j = l + 69. Let q = 0.485 + -0.085. Which is the third biggest value? (a) j (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)\/t)\/t**(1\/4))\/(((t\/t**(-13))\/t)\/(t*t**6)))**(5\/3) assuming t is positive.\nAnswer: t**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2989 is divided by 708.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6045013621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 != -158619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + s**2 - s + 3. Let t be f(0). Let i(w) = t*w**2 - 2*w**2 - 2*w**2. Let y(c) = c. What is i(y(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 48. Let m be 2\/(-4)*(-6 + b). Suppose 4*v - w - 199 = 0, -m*w + 263 = 4*v + 44. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 9*u**2 + 15*u - 2. What is the tens digit of b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.95 and 809.\nAnswer: -5622.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 - 15*u + 26. What is the remainder when 216 is divided by g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Suppose -n - 8 = s + 4*s, 10 = -5*s. Sort n, -6, g in descending order.\nAnswer: g, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144621893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/63 - 1720\/420.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 3 + 8. Let k be (-20)\/n*(15\/6)\/5. Solve 12 = -2*g - k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1184 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32e37 (base 15) to base 9.\nAnswer: -265877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 26*b - 58. Let z be p(9). What is the highest common divisor of 434 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 182\/(-8) - (-21)\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*-3.48\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -2\/3 (c) 49862\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1751\/(-119) + 2\/(-7). Let s be ((-6)\/(-4))\/(2\/8). Is 134\/s - 10\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 170 = -3*w + w, 2*s + 82 = -2*w. Let k = 11 + s. Let p = 36 + k. Which is the third biggest value? (a) p (b) -0.2 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -965413 or -966201?\nAnswer: -965413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 432441?\nAnswer: -433021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 24 = 2*s, 4*x - 2 = -3*s + 24. What is the units digit of -1 + (-2)\/s - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*c**2 - 155*c**2 + 138*c**2.\nAnswer: 305*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59 (b) 3.47 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11*o**2 + o + 1. Determine w(2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 13*k - 5*k + 2*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a + 17*a - 77. Let i be (-200)\/(-11) + (-2)\/a. Suppose -21*b + i = -15*b. Solve 0 = b*c - 2*c - 2, -5*p + 2*c = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 81*y - 6. List the prime factors of r(2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 91*t + 9. Let c be d(1). Calculate the highest common factor of 180 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(-5 + 4)*(-1137)\/(-379) + -44\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - -33. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1222289046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/27651020 and 47\/10.\nAnswer: 27651020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)\/(8687\/(-1449) + 6). What is the units digit of (-2)\/9 + 79534\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (91 - 2)\/(-3 + 2). Let i(r) = r**3 + 7*r**2 - 8*r. Let c be i(-8). Is (-1 + c)\/(1\/w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5 - 16 = 0. Let y = -2 - -3. Suppose -u = -5 + y. Solve 0 = u*q - 3 + h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((62\/(-175956)*-22)\/(20\/(-16) + 1)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 124, 2, -9, -432 in ascending order.\nAnswer: -432, -9, -4, 2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -401\/296 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4047000?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + 1 - (-42 + (-30 - (-4 - 64)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 4*i + 3. Let j be a(-3). Suppose -v + 0*v = -j. Let h = v + 31. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112809 at least 112819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 6:24 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*x + 17*x + 56*x**2 - 12*x)*(0*x**3 - 3*x**3 + 4*x**3).\nAnswer: 56*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-6)*6\/4. Let u be 177\/(-9) - (-5)\/(-15). Let f = c - u. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.27 - -0.221. Let m = -5.649 - h. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -543238.548 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11733076 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeezveeezztzeqtqz. What is prob of sequence zvz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/56 and -35\/1578834.\nAnswer: 44207352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 213*v**3 - 12*v**2 + 2*v - 3. Let h be d(4). Round h to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34150 and 28925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m + 39888, 10 = 4*m - 14. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485310?\nAnswer: 2, 5, 157, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -10, -3*k - 4*u = 4 + 7. Let y be (-13)\/(-2) + (-54)\/36. Suppose v - 14 = -4*w, -9 = -w - 4*v + 2. Solve w*s = k*r - 6, 3*r - r = y*s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5 = -49. Suppose 3*b + 2*x = -1, -3*x - q = -9*b + 11*b. Solve -2*h + 9*s + 10 = 4*s, -5*s = b*h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4 + 16. Suppose -h*i + 2*x = -191, 4*x = -4*i + 291 - 43. Suppose i - 15 = 3*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 2\/316939?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*p + 987 = 302*p + 281*p + 7135 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -0*a. Suppose -1 = 3*y - 3*t - 22, 4*y - 3*t - 26 = a. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 + 0 - (513 - 440).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2213 + 18?\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -25*o + 3. Let s be k(0). Solve -z + s = 0, -6*d - 5*z + 20 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -8. Suppose 20 = 5*c - 5. What is the units digit of x + (c - 2) + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 607 and 350239.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -80, -250, -572, -1094, -1864, -2930?\n\"Answer: -8*s**3 - 4*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sfssfs?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 66.9. What is the third biggest value in -5, 6\/7, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/5 (c) -16622\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**3 + 4*k**2 - 4*k + 2. Let a be c(2). What is the common denominator of 41\/123 - (0 - 67\/a) and -99\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, a: 1, w: 1, k: 1, z: 2, n: 1}. What is prob of sequence ynzz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8.5*231\nAnswer: 1963.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddttztdttdd. Give prob of sequence zdtt.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and -7\/27803868.\nAnswer: 27803868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 959*b + 18. Let o(z) = 958*z + 14. Determine 4*d(f) - 5*o(f).\nAnswer: -954*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (78\/(-9) + 0)\/((-13)\/1092). Suppose -10*u + y = -362. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 20*s + 60. Solve 4*t = 4*z - 2*z + s, 5*t = -3*z + 26 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1015187, 2, -4?\nAnswer: -1015187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(u - 2*u + 0*u)*(-2*u + 0*u + 0*u)*((2*u - 3 + 3)*(2*u - 7*u + 2*u) + 194*u - 21*u**2 - 194*u).\nAnswer: 108*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 - 4*p - 6*p**4 + 0*p + 5*p**4 + 0*p**3 as y*p + b*p**3 + a*p**4 + q + c*p**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 65. Let y(b) = 2*b - 66. Let c(n) = 2*d(n) - 3*y(n). Let h be c(16). Solve h*u - 39 + 59 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10085176)\/(-119980) + (-226)\/280 + 12\/16.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 14. Which is the nearest to 0? (a) -1\/6 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2 + 134*r - 675. Give k(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**4)**(3\/34)*(c*c*c*c\/c**(-2\/33))\/(c\/(c*c\/c**(4\/3))) assuming c is positive.\nAnswer: c**(1559\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 217832 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) 1 (c) 0.01959\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(4\/6 + (-3)\/9). Is 494\/t*3\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11b - 16?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9974 - 562 + 39646 = -382*m - 909*m for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*i**2\/3 + 20338*i\/3 - 1206532.\nAnswer: -2*(i - 214)*(8*i - 8457)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w - 49. What is x(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209348 is divided by 315620.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 47398 plus 3.4?\nAnswer: 47401.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12019520 and 0.5?\nAnswer: 12019519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t + 94. Let g be (8 - 1) + 357\/(-17). What is the units digit of z(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1409565 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-27)*54*3\/(-3))\/(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-45)*3*(-7810)\/(-20). Let c = 355 - 512. Let b = c - g. Sort -4, -1\/3, b in ascending order.\nAnswer: -4, b, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 14*c - 17*c + 15, -20 = -4*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4316 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l + 37 = 0, 6*w - 3*l + 8 = 2*w. Let t = w + 7. Which is greater: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5713423483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k + 88 = 2*b, 3*b = 4*k + 132. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - (sqrt(144) - (sqrt(144) + -2*sqrt(144) - sqrt(144))))\/((2*sqrt(72))\/sqrt(6)) - ((sqrt(3) + 1 + sqrt(75))**2 + 5)*3.\nAnswer: -342 - 38*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v + 3. Suppose -3*w + 76 = -2*o, 2*w + 2*o = -2*w + 92. Suppose -w*r = -19*r + 30. Does 31 divide m(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 8*k - 5*k + 4*s, -3*s - 15 = 0. Suppose 3*i - 3 - 9 = 0. What is the remainder when (-3 + 6 + k\/i)*-10 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 14 - 7 - b - 11. Let c be q(4). Let k = c + 14. Solve -k*u - 20 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 448, 893, 1338, 1783?\nAnswer: 2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16058107.\nAnswer: 13, 1235239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from {d: 1, u: 11, r: 2}.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2146 (base 7) to base 4\nAnswer: 30001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/5 + 1\/5. Suppose -i = -5*x - 4. Solve c - 2*c = -x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 + 68834*c**2\/5 + 440364*c + 10733112\/5.\nAnswer: (c + 6)*(c + 26)*(c + 68802)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -19 - (1 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = a - 4*f, 0 = 2*a + 6*f - 3*f + 29. Let i = -35 + 16. Are i and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2434, -9911, -22372, -39817, -62246, -89659?\n\"Answer: -2492*j**2 - j + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6295 - -1?\nAnswer: -6294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1085 - -0.1085. Let u = -5.4 - -5. Which is the second biggest value? (a) u (b) 2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 8:13 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - -399. List the prime factors of k.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - 8 - (-2)\/2. Suppose g*r + 4*p - 40 = -18, -p = r - 5. Solve 3*m = r*y - y - 10, 10 = -m - 3*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1665047 (base 8) to base 11\nAnswer: -3020a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 3, i: 1, t: 1, u: 8, d: 2, h: 2}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 706.00589 - 706. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 + 5*m**4\/6 - 2*m**3\/3 + 12*m**2 - 2*m. Is 21 a factor of i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 634, 940?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374 and 61786636?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - 27*z**2 - 9*z + 8. What is l(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 24 = 2*z + 2*z, z - u = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 225, 508, 791?\n\"Answer: 283*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60886 - -60782. Let q = -45\/26 + -18769\/182. Is a greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 3*l**4\/4 - 4*l**2 - 47*l + 2. Let i(z) be the first derivative of -z**2 - 21. Give x(i(y)).\nAnswer: 36*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1974206 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3610)\/3040*(-104)\/2470.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 151875, 303780, 455685, 607590?\n\"Answer: 151905*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/18, -7?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 6 - 3. Let w(n) = n. Let g(z) = 6*z + 2. Let o(t) = p*w(t) + g(t). Let j(y) = -3*y - 3. Give 2*j(r) + 3*o(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1901832 from 0.1454244.\nAnswer: -1901831.8545756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*w**2 - 37 - 2*w**4 - w**4 - w**3 + 112*w**2 + 7 in the form y + d*w**4 + j*w**2 + h*w**3 + u*w and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6426 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1808\/8814 - (-2)\/65*-5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxgimzaag. What is prob of sequence ixz?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6 = f. Let l(b) = 11*b**2 + 6*b. Let y(r) = 32*r**2 + 17*r. What is f*y(a) - 17*l(a)?\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 67*v**2 - 538*v**2.\nAnswer: -471*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 135 = 154. Which is smaller: 204\/11 or r?\nAnswer: 204\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/40 - b**3\/3 + 2*b**2. Let a(f) = -10*f**3 + 5*f**2 - 4*f**2 + 1 + 10 - 5. Calculate 2*a(c) + 7*n(c).\nAnswer: c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 119\/28 + -4 + (-59)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 236 = -47*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 9) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*v + 21. Let i(n) = n**3 + 7*n**2 - 4. What is i(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1394a - 1?\nAnswer: 13949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**4*g*o + b**4*g + 10*b**3*g*o**2 + 6*b**2*o**2 + g*o - 11*o**2 wrt b?\nAnswer: 72*b*g*o + 24*b*g + 60*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((50 - 42) + (-8 - 0))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (9 + (-13 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1155983 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 6952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 5. Suppose -4256 = j*f - 6*f. Let a = 42569\/20 - f. What is the common denominator of a and -45\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 816 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 931624046 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 + 3 = 0. Suppose o + 1 = v, -q*o = -5*v - 2*o + 9. Calculate the least common multiple of 3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 38*h + 4. Suppose 67*x - 75*x + 72 = 0. Is 23 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 663608485 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (19 - 12)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 108 - 101 + 222 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -283623.389 - -283757. Let b = x - 132.8. What is b rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 256242444.2821 from -0.3.\nAnswer: -256242444.5821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63*(-36)\/(-630) - 21\/(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.0005432 rounded to 2 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 23 - -10) + -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/54? (a) -1\/3 (b) 2\/7 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k**(2\/13))\/(k**(-2\/3))**37 assuming k is positive.\nAnswer: k**(695\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*20\/350 - (-10316)\/28. Solve 3*n - 345 = -t for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -842620 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54115 (base 10) to base 3.\nAnswer: 2202020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2375601999 take away -1?\nAnswer: -2375601998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 + 6*n**2 + 4*n - 2. Calculate s(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 31.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciiul. What is prob of sequence lc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22100110 + -1201?\nAnswer: 22021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 392*r**3 - 24*r**2 + 3*r wrt r.\nAnswer: 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 5.8. Let p = -10\/21 - -8\/7. Which is the biggest value? (a) u (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4 + 2475*d**3 - 3*d**2 - 2475*d = 0.\nAnswer: -825, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) - 5\/90*-39. Let q = 4145\/2 - 2031. Let z = 44 - q. Which is the third biggest value? (a) 5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/(-5)*-10 - -172 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(-15)\/(-12)*(-224)\/(-12) is divided by ((-5)\/10)\/(2\/(-36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 306757 divided by 3883.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (107 - 95) + -4 + 23 + 7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 465.92264 - 0.02264. Let x = 466 - o. What is the nearest to -2\/3 in -3, x, 2\/13, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7093 divide 311779908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -562194 divided by 783.\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - x - 2*c - 1 = 0, -c = -1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2912 - 1.58019\nAnswer: -2913.58019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(320) + sqrt(320) + 1)*-4*-6)**2.\nAnswer: 73728*sqrt(5) + 2951424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1687 (base 13) to base 6.\nAnswer: -23214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10435.\nAnswer: 5, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.265 - -0.765. What is the biggest value in b, 28, 0.1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + 2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 135475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 807392002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s + 7*s**2 - 7*s**2 - 1 - 2*s**2 + 6*s**2.\nAnswer: 4*s**2 + 25*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-81)\/(-45))\/((-3)\/(-10)). Find the third derivative of -9*y**2 + 16*y**2 - 3*y**j - 4*y**2 - 10*y**2 wrt y.\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131439661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036456 to four decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1711703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 21*v**4 - 119*v**3 + 99*v**2 + 108*v - 131. Let u(w) = 11*w**4 - 59*w**3 + 49*w**2 + 53*w - 66. Let i(f) = 6*b(f) - 11*u(f). Factor i(z).\nAnswer: 5*(z - 12)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 7. Let q be r(3). Solve -p - q = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyop when four letters picked without replacement from {p: 2, g: 1, y: 2, m: 1, a: 1, o: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69782949 a multiple of 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 12 = -30*k. Suppose -4*y + 32 = 2*a, 0 = -3*y + a + 8 + k. Solve 0 = -2*q + 3*b + 2, y*q + b + 12 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 3. Suppose x = 2*h - h + s, -4*h + 16 = 3*x. Solve -x*c - 20 = 4*b, 0*b + 2*c = 4*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + ((sqrt(720) - 2*sqrt(720)) + -5 + (2*sqrt(720)*-6 - sqrt(720)))*2)**2 + -2.\nAnswer: 10080*sqrt(5) + 564700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {m: 1, f: 5, x: 1, j: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2) - (-120)\/6. Let g be -2 - (z*2)\/(-1). Let y(v) = 25*v**3 - 2*v**2 + 1. Let u be y(1). Calculate the greatest common factor of u and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-12))\/180*(-25)\/(-20)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 14 = 3*w - 2, w + 18*d = -53. Put -3, w, 415, -4, -5 in descending order.\nAnswer: 415, w, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.28 + 15.68. Let t = z - 14.2. Sort t, -2\/59, -1 in increasing order.\nAnswer: -1, -2\/59, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-12)*1\/5. Let i(z) be the first derivative of 7\/18*z**6 + 1\/3*z**5 - y*z**4 + 0*z**2 + 0*z**3 + 0*z + 2. Determine j so that i(j) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 2*q**2 - 3*q + 5. Let x be h(4). Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738 and 9797598.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204 take away 925?\nAnswer: -2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53523 to the power of 1\/2, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 6. Let p = -42 - -71. Calculate the remainder when p is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*b**3 - 113*b**3 - 504*b**2 + 504*b**2 - 180*b**3 + 104*b**3.\nAnswer: -417*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 161396.\nAnswer: 161396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 312, 390, 592, 978, 1608?\n\"Answer: 10*z**3 + 2*z**2 + 2*z + 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1470*o - 3. Let c(q) = -3*q. Calculate b(c(u)).\nAnswer: -4410*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1731 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 29*w + 61. Determine r(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4259 = -3*m + 3091. Let b = m - 1700. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1002\/4 - (0 - 0). Suppose 5*x + 2029 - 544 = 0. Let j = x + n. Calculate the common denominator of j and 46\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 3, r: 2, f: 1}. Give prob of picking 1 r, 1 f, and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -ca51 (base 14) to base 15\nAnswer: -a559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2 + (-3)\/6. Let n = m - -2. Let 0 - 44*f**2 - 23*f - 18*f**2 - 3*f - 24*f**n - 4 - 64*f**3 = 0. Calculate f.\nAnswer: -1, -2\/3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19482, -38967, -58454, -77943?\nAnswer: -97434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -8*q + 5900. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 25*r. Let u(i) = -43648*i. What is u(q(v))?\nAnswer: -1091200*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -26*q - 1. Let i(m) = 9*m. Determine -14*i(l) - 4*x(l).\nAnswer: -22*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72984 and 12?\nAnswer: 72984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-35 + (12 - -6) - -22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(6\/11)*f)\/(f**(-1\/3)*f))\/((f\/(f*f**(-16)))\/f**11) assuming f is positive.\nAnswer: f**(-136\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3\/4 - 8487*v**2\/4 - 5981157*v\/4 + 30118335\/4 = 0 for v.\nAnswer: -1417, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 18 = -47*z. Solve 12*w + z = 13*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1600 + -1605. Put -42, 6, w in decreasing order.\nAnswer: 6, w, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyk when four letters picked without replacement from {y: 5, k: 2, p: 2}.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32068510?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -3*c + 687 = -30. Let k(v) = -1 - v**3 + 0*v**3 - 2*v - 235*v**2 + c*v**2. Determine k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 85, -2, -7728, 21 in decreasing order.\nAnswer: 85, 21, -2, -7728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 150*u - 151*u = 7, -i + 5*u + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -132 - -202. Let i = h + -69.9. Sort -2\/9, i, -2\/3, 0.4 in decreasing order.\nAnswer: 0.4, i, -2\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -300) + -3 - -1. Suppose -3*j = -j - w. Does 33 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 1)\/(1\/10). Let q(v) = -14*v + 26. Let w be q(1). What is the highest common divisor of g and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*h + 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 31. What is the smallest common multiple of 1\/2 + f\/(-2) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.91 and -0.04785.\nAnswer: 5.86215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -48*f + 15. Let r(s) = 96*s + 6 - 5 - 99*s. Determine 33*r(y) - 2*x(y).\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -635, -2449, -5473, -9707?\nAnswer: -15151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2886)\/4810)\/((-208)\/(-20)).\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -197745.726 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let r(p) = -4*p**2. What is r(z(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (0 - -1 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22190734877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3\/9 - 620*m**2\/3 - 618*m = 0. What is m?\nAnswer: -927, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 + 1626*x**4\/5 + 27146*x**3\/5 + 64998*x**2\/5 - 217948*x\/5 + 124176\/5 = 0. What is x?\nAnswer: -796, -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 96.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51145 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 146*q**2 + 17*q - 3. Suppose 72 = 11*j + 94. Does 20 divide z(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = -3*i - 4, -y - 6 = 2*i. Suppose -m + 4*m - 12 = 0. Let n be m\/(1\/((-3)\/(-2))). Solve y = n*k - k - 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -21*x**2 - 350*x - 452. Give p(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 40 = 2*s - i, -5*s - 112 = 2*i. Which is smaller: -126\/5 or s?\nAnswer: -126\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + g - 3. Let d(v) = -67*v**2 + 23*v + 7. Let f(p) = -58*p**2 + 20*p + 6. Let l(w) = -13*d(w) + 15*f(w). What is b(x) - 4*l(x)?\nAnswer: -2*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02645847949 to 6 dps.\nAnswer: 0.026458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16b - -1?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and 503?\nAnswer: 36216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2960, 5923, 8888, 11855, 14824?\n\"Answer: g**2 + 2960*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 12*u**3 - u**2 - u + 1. What is n(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 36 (c) 0 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 284522?\nAnswer: 1991654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -30\/22027 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 150 + -148. What is the nearest to y in -2, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.8619 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -17\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670.877 rounded to the nearest ten?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(12\/(-5) - -2). Suppose -3 = 2*w - 3*v, q*w - 4*v + 3 = 2*w. Is w <= 13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439234560 + -0.31?\nAnswer: 5439234559.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 116*w. Let z(p) be the first derivative of -2*p**3\/3 + 456. Calculate z(r(f)).\nAnswer: -26912*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 7*m + 9*m. Suppose 2 + 18 = -5*u. Sort m, 3, u.\nAnswer: u, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40, 41, 20, -35, -136, -295, -524?\n\"Answer: -2*q**3 + q**2 + 12*q + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 9*z**2 - 7*z + 13. Let a be d(-8). Suppose 30 = a*r + 5. Suppose -3*s + 351 = r*y - 2*s, -83 = -y + 3*s. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-9)\/108*-18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4939 (base 13) to base 6\nAnswer: -115541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7365233, -7365230, -7365227, -7365224, -7365221, -7365218?\nAnswer: -7365215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 3*r + 3*r**2 - 7*r**2 - 4*r**2.\nAnswer: -15*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -403.5191 rounded to 1 decimal place?\nAnswer: -403.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-12))\/(4\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + 2*j. Let g(h) = -2*h**2 - h. Let m = -17 + 24. Determine m*g(u) + 4*k(u).\nAnswer: 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -206.64 and -53.2.\nAnswer: -259.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/(h\/(h*h*h**(-1\/3))))))**(-1\/11)*(h\/((h**(-1\/3)*h*h)\/h*h))**45)\/((h**0)**(-10\/9)*(h*h\/h**(2\/3)*h)**21) assuming h is positive.\nAnswer: h**(-2612\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478164 is divided by 79692.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 2*r + r + (-6 + 2 + 2)*(-2*r + 3*r + 0*r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 + (50 + -4 - (588 - 577))?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 (base 15) in base 4?\nAnswer: 33012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4006 (base 7) to base 11.\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 10. Suppose 0 = 2*d + h*g - 68, d - g - 23 = 19. Let j be 2 - (d\/10 + -2). Sort j, -0.1, 2\/19 in increasing order.\nAnswer: -0.1, 2\/19, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -5, -0.7, -1, 2\/7, 0.09, 590?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = -5*j, 5*p = -2*j - 7 - 1. Suppose 4*d - 24 = -p*d. Find the second derivative of y - y**2 + 6 - d wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1*sqrt(45))**2 - ((sqrt(55) + (3*sqrt(55) - sqrt(55)))\/sqrt(11))**2 - (-2 + ((sqrt(5)*1)**2*-5 - sqrt(45)*3))).\nAnswer: 9*sqrt(5) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3337966 or 3337938?\nAnswer: 3337938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1865*f + 1872*f - 6 + 6.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*p - 37 = 2*p, 2*g - 2*p = 16. Let z be 1 + 30\/(-34) + 24\/(-204). Find the first derivative of -4*s**3 + 10*s**g + 8 + z wrt s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 14 = -22*r. Let c(z) = 8*z - 4. Let y(a) = 17*a - 9. Give r*y(l) - 5*c(l).\nAnswer: -6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 460276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14104 and 40672?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2222832306.\nAnswer: -2222832306.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 8. Let r be (-6)\/((-8)\/((-32)\/w)). Let t(i) = -9*i + r*i - i + 5*i. Let b(s) = 2*s**2. Determine b(t(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/t)\/t)**(-2\/7)\/((t\/(t**6\/t))\/t**6) assuming t is positive.\nAnswer: t**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4970, 9967, 15002, 20093, 25258, 30515, 35882, 41377?\nAnswer: 47018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Calculate the remainder when ((-120)\/(-75))\/((-4)\/(-10)) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/24 - 239*b**2 - b. Let r(g) be the first derivative of 39*g**2\/2 + g + 48. What is r(h(s))?\nAnswer: -39*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 - 1\/12*n**4 + 0*n**6 + 0*n**7 - 2*n**2 - n + 0*n**3 - 1\/20*n**5 + 5\/42*n**8. Find the third derivative of q(m) wrt m.\nAnswer: 2400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*c + 116, 3*p + 0 = -9. Let y be (-3 - c) + 4 - 4. Let d = 25 - y. Solve -l - d = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/76 and -19\/18.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13*v - 18 = 0. Solve 0 = 5*q - z + 4*z - 24, 4*q = -v*z + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 5. Let b(d) = -8 - 1 + 8. Let x(r) = -11*b(r) - 2*g(r). Calculate x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 655281880 + 2?\nAnswer: 655281882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/14 - 2\/(-7). Let m be 18 + (-5)\/((-5)\/2). Suppose -3*k + 11 = 2*n - 12, -m = -5*n. Which is the biggest value? (a) k (b) -2\/9 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:45 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 702, 701, 700, 699?\nAnswer: 698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-5)*z*z**(2\/7)*z)\/(((z**(4\/9)\/z)\/z*z)\/z**(1\/4))*z**(2\/13)*z**(1\/5)*(z**(-2)\/z)**47 assuming z is positive.\nAnswer: z**(-2318669\/16380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112150.\nAnswer: 2, 5, 13, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 220 = 3*l, -2*v = -5*l + 22 + 35. Let f = v + 41. Suppose 2*q = -c + 155, f*q + 3*c + 60 = q. What is the remainder when q is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 10:42 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 0.4 (c) -4173 (d) -5 (e) 5 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 131435430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43283.92 rounded to the nearest 100?\nAnswer: 43300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75559 + 15349 = 317*n - 763*n for n.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/40)\/((-4)\/(-10) - 1). Let z(l) = l**3 - 5*l**2 - 7*l + 6. Let b be z(6). Let r = i - b. Which is bigger: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/60*(105\/2)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:33 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 0.3 (b) -2 (c) 29\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*w + 542, 3*w = n + 4*n - 1397. What is the remainder when n is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 71394576*o - 637148185277472.\nAnswer: -2*(o + 17848644)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 93411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983\/259 at most 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/10, 0.4, 2.96, 4\/5, 111, -6, -3?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 3 + 1*sqrt(80) + 1.\nAnswer: 4 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -239755.241 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = 37*l - 1190. Let b = 179 - l. Calculate the remainder when 15 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6796172369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 + (32 - 21) - (-2 - 8)) + -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-127)\/(-762)*-3*(-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 times -131297\nAnswer: 19694.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/25)\/((-4)\/(-30)). What is the least common multiple of 2 and 3\/l*9*1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 609660925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -915, -3357, -7423, -13113, -20427, -29365, -39927?\n\"Answer: -812*n**2 - 6*n - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 + -7 - (-53 - -86).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzz when three letters picked without replacement from {b: 2, z: 12, v: 3}.\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6478\/7 - -926. What is the closest to -1 in -0.2, i, 2\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 1414, -1, 0, 34 in ascending order.\nAnswer: -1, 0, 0.4, 34, 1414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:01 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 3:50 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 29799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**5\/7 + 26*b**4\/7 - 124*b**3\/7 + 268*b**2\/7 - 258*b\/7 + 90\/7 = 0. What is b?\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 191, 273, 339, 383?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:31 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -82?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*s + 77*s. Let d(j) = j - 9. Calculate d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*g. Let s(a) = 6*a**2 - 4*a + 10. Let n be s(g). Let c = 86 - 76. What is the greatest common factor of n and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4413 - -4508. Calculate the remainder when m is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-7)\/(3*-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*o - 14 = o, 2*h + 4*o = 0. Solve h*x - 16 = -2*p, 5*p - 28 = 12*x - 14*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1770, -3.7, -259?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 534 (base 7) to base 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 + 2. Suppose -4*i = 127 - 203. Suppose i*j + 9*j = 56. What is h(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 5*n - 2. Let f(a) = -4*a**2 + 4*a - 2. Let i be -5 - (5 + -16) - (5 - (2 + 0)). Give i*f(m) - 2*l(m).\nAnswer: -2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 8*b**2 + b + 12. What is the lowest common multiple of 11 and p(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -2693\/333695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 38. What is the closest to 0.1 in -1\/4, b, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/90 and 58\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -1, -0.52, 5, 2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57151 rounded to 3 decimal places?\nAnswer: 0.572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**4\/12 - 2*m**3\/3 - 5*m**2\/2 + m. Suppose 0 = -39*v + 33*v + 30. Let y be c(v). Solve d + y*d = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4705541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -13.8068.\nAnswer: 248.5224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:11 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 12 = 2*t. Let u = 19 + t. Let g(p) be the second derivative of p**5\/20 - 5*p**4\/12 - 7*p**3\/6 + 9*p**2\/2 - 102981*p. What is g(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let f(q) = -22*q - 153*q**2 + q + 21*q. Give f(x(u)).\nAnswer: -612*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 966.93 + 1895\nAnswer: 2861.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from {u: 7, x: 7}?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 38 - -2*(2 + -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 1369.67.\nAnswer: 1372.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 5. Determine t(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.3 + 6. Let c = 1 + -1. Let g = -14 - -41\/3. What is the second biggest value in c, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76695 to the power of 1\/2, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194\/3 - -64. Let z = -158.5 + 158. Which is the smallest value? (a) 0.08 (b) z (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 465 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 2)*11\/(-638). Is 1 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -684.61 and 33.\nAnswer: -651.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of 6*o**7\/7 - 9*o**4\/4 - 4*o**3 - o**2\/2 + 87. Find the third derivative of g(b) wrt b.\nAnswer: 720*b**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 9*a + a = -3, 0 = -2*r - a - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 36?\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/9)\/((-11)\/55)*(-16)\/(-16).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*x**5 - 2*x - 2 + 14*x**5 + 2 wrt x?\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3 - 65. Suppose 4 = 4*h - 4. Solve -w = 4*j + u, -4*w - 8 = 3*j - h*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (32 - 31 - -15) - 104.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -13248265 and -13248265 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:45 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159545, -159485, -159425, -159365, -159305, -159245?\n\"Answer: 60*g - 159605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - -10) + 10 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qql when three letters picked without replacement from {q: 10, l: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78, -72, -66, -60, -54?\n\"Answer: 6*f - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 28, 33, 54, 97, 168, 273, 418?\n\"Answer: u**3 - u**2 - 9*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 203.8 - 204. Which is the biggest value? (a) -0.4 (b) 5 (c) -1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 7219*m**6\/120 - m**4\/4 - 125*m**3\/6 - 9183*m**2. What is the second derivative of j(p) wrt p?\nAnswer: 43314*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.1 - -1.68\nAnswer: -7.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 19*d - 57. Let h be (2 + 21\/(-9))*66. Let k(j) = -3*j - 51. Let y be k(h). Let l be b(y). Solve 7 = -2*r - 3*v + 2, -l = v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45.354 + 8.702.\nAnswer: 54.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s - 0*s. Let t(a) = -2 - 2 + 0 + 3 - 3*a. Does 10 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20.06449ng?\nAnswer: 0.00000002006449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9492.29 + -9467. What is o rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -3.\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/17970 and 71\/74.\nAnswer: 664890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -215747880 divided by 5\nAnswer: -43149576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 5 (b) -172 (c) -3 (d) 0 (e) 2\/11 (f) -168\/11 (g) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1 in increasing order.\nAnswer: -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let o be d(-6). Let c = -6 - -7. Let b(f) = 2*f**3 + 2*f**2 - 2*f + 1. Let v be b(c). Solve -5*y - 5*l + l = -21, 3*y - o = v*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1701 and -55\/196?\nAnswer: 47628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*b = 2031 + 1599. Solve -b*a - 46*a = 272 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -85.5 (b) 3\/23 (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 54860*c + 150480980.\nAnswer: 5*(c + 5486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 87?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/21 (b) 0 (c) -1\/9 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83)\/(6972\/(-140))*(-18)\/(-70).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -2. Let r = 316 - z. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and -13\/167.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Let q(m) = 44*m. Determine q(r(b)).\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6190.72 and -0.853.\nAnswer: -6191.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*257354\nAnswer: -180147.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31179, -31173, -31167, -31161, -31155, -31149?\nAnswer: -31143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 92.45051 years?\nAnswer: 0.9245051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dysp when four letters picked without replacement from {q: 3, p: 7, d: 1, s: 3, n: 2, y: 1}?\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/58776 and -53\/58776.\nAnswer: 58776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i + 93. Let r(m) = 6*m + 31. Determine -11*r(d) + 4*t(d).\nAnswer: -10*d + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 6*y**2 - 3*y**2 + 0*y - 11*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -16*h + 2 + 9*h + 10*h. Let f be n(1). Suppose j = f*j - 8. Sort j, -4, 3 in increasing order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4913695876 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4699 + -40985.4.\nAnswer: -36286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1834245 (base 10) to base 13\nAnswer: -4c2b6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 987*m**3 - 3*m*o**2*z + 8*m*o**2 - o**2*z + 256160*o wrt m.\nAnswer: 2961*m**2 - 3*o**2*z + 8*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((((sqrt(36) + sqrt(144)\/sqrt(4))*1)\/(-4*sqrt(108)))**2 - (sqrt(27)\/(sqrt(90)\/sqrt(40)) + 1)).\nAnswer: -1\/3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 4*z + z)*(0 + 4 + 0) + (0 - 2 + 4)*(5*z - z - 2*z) to the form i*z + g and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089069260 rounded to the nearest one hundred thousand?\nAnswer: 5089100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/((((sqrt(96) - 2*sqrt(96)) + sqrt(96) + sqrt(96) - sqrt(96)) + sqrt(96))\/sqrt(12)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(30\/(-5)))\/((594\/(-44))\/3)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64, 62, 60?\n\"Answer: -2*i + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 80. Let r be i(-26). What is the hundreds digit of r - (2 + -5*62 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87 - 14) + -26 + (7 - 13 - 5).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3060 (base 10) to base 7\nAnswer: -11631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 17*o - 297. Calculate x(26).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3671755 is divided by 103?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 944, 0, 7, 10 in decreasing order.\nAnswer: 944, 10, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/7)\/(4\/(-6)). Let u = -12 + 21. Let g be 3\/(-18) + 3\/(u\/2). Which is the closest to -1? (a) g (b) 1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*n + 0*n + 0*n)*(-n + 0 + 0) + 2*n**2 - 3*n**2 + 3*n**2.\nAnswer: 35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8640416 + -2.18.\nAnswer: -8640418.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 160448 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3001*h - 3719*h - 1636*h to the form m + t*h and give t.\nAnswer: -8356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(160))\/sqrt(10))\/sqrt(8))**2*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 111 and 5831?\nAnswer: 647241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50827346 or -50827342?\nAnswer: -50827342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*f + 600841 - 15069 = 0, 5*f + 585788 = 2*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*c + 5 = 0, 1282 - 1287 = 3*s + 5*c for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 61096 and 1120?\nAnswer: 1221920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4722c9 - 4?\nAnswer: 4722c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 469031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -290 divided by 18?\nAnswer: -145\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 16. Let s be u(-14). Factor -14*h**3 - 8*h + s*h**3 - 4*h**3 + 24*h**2 - 10*h**4.\nAnswer: -2*h*(h - 1)*(h + 2)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(-15*z**2 + 14*z**2 + 7*z**2) + 4 - 3*z**2 - 4)*(5 + 3 - 4)*(-4*z + 0*z + 0*z).\nAnswer: -48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*i + 3. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 3*w + 5*w - w**3 + 2*w**3 + 5 + 7*w**2. Let i(t) = -t**3 - 3*t**2 + 2*t + 1. Let h be i(-3). What are the prime factors of a(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4444 + (-42)\/6 - -7. Let n(j) = i - 4*j**2 + j**2 - 4444. Let z(t) = -11*t**2. Determine n(z(o)).\nAnswer: -363*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 12190*f + 37149025.\nAnswer: (f + 6095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002011211 to five dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 - -3. Let h = 3.9 - 3.4. Let g = 1.1 + -1. Which is the nearest to f? (a) -0.1 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1654*w - 14499*w - 30972*w.\nAnswer: -47125*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -31075*m**3 + 7*m**2 + 7*m - 14. Let a(z) = 20717*z**3 - 5*z**2 - 5*z + 10. Determine 7*a(u) + 5*w(u).\nAnswer: -10356*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w + w)*(-2*w - 2*w + 5*w + 7*w**3)*(19*w - 39*w - 6*w).\nAnswer: -182*w**5 - 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 21) + 33 - (41 - -2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(119))\/(((sqrt(112) - sqrt(7)) + sqrt(7))*4) - (3 + sqrt(425) + (2 + sqrt(425) + sqrt(425))*-1)**2.\nAnswer: -426 + 163*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x**2 - x + 1. What is the units digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, c: 15}. What is prob of sequence cccc?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83.8 + -80.8. Which is the third biggest value? (a) 1 (b) f (c) -1\/11 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 g, and 1 v when four letters picked without replacement from vqvavvvavvvgvaa?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/119304 and 59\/271748.\nAnswer: 4891464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (5680\/9230)\/(2\/2)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.025*-0.3.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/26 and 9\/184?\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvvd when four letters picked without replacement from vvlvvllvdvvzld.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -12805664?\nAnswer: 12805662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-16))\/((-9)\/(-108)) + 6. Solve k*b = 39 + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736666 and 12446.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -7*s**6\/3 - 6*s**2 - 10. Find the second derivative of j(o) wrt o.\nAnswer: -280*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(51)\/sqrt(3))**2 + 5)*-6 + 0 + (-2 + sqrt(1377) - sqrt(1377)) + 2 + 1.\nAnswer: -281 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -7 (b) 0.27 (c) -1\/6 (d) 5 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000599968 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*d - 29, -2*w + 4*d + 2 + 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((33 - 17) + -10 + (-14 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6995969 + -12.4\nAnswer: 6995956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12403278019 - 2*c**2 + 12403278019.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -18. Let f = -7.4 + d. Let k = -0.3912 - f. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from {o: 3, f: 11}.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/4 - 45*k**2\/4 - 69*k\/4 + 117\/4.\nAnswer: -3*(k - 1)*(k + 3)*(k + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 60*l - 112. Let c be a(58). Solve -c*y - r = -15, 0*r + 2 = y + 2*r for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49138 is divided by 49111?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6*-314.9978\nAnswer: -1889.9868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000010 - 1?\nAnswer: 1011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 1)*1 + 22 + -25. Let f be ((-1)\/2)\/((-14)\/m - 1). Let l = 8 - 5. Is l > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*w - 2 = -0*g, -3*w - 8 = 2*g. Let z be 3*(6\/g - 2). Suppose -z*y + 2 = -2*y. Solve 3*p + x = -12, 3*p + y*x = -2*x - 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**4\/4 + 4*s**3 - 3*s**2\/2 + 12*s + 42. Determine z(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3216 - 3?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.46 - 0.16. Let n = -176081.06999987 - -176082.37. Let z = n - f. Round z to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 5, o: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24530387093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/56)\/(24\/(-17374)). Let c = t + -207. What is the closest to 0.2 in c, 2, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7611 + -504?\nAnswer: -10315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12459 (base 11) to base 9\nAnswer: 26434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-4))\/(14\/56)*11906?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (24 - 6) + (-1 - (-6 - 123)) - 0?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - g**2 - g - 8. Suppose -p + 0*p = 0. Let z be d(p). Which is the second biggest value? (a) -2\/11 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298 + -324 + (-2 - -9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 14 = 2*s, -5*j + 2*j + 2 = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 589*l**2 - 7*l + 51. Is c(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**3 + 2*k**2 + 2*k + 3. Let f(q) be the second derivative of -q**3\/6 - 7*q**2\/2 - 3*q. Let i be f(-4). Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {l: 1, m: 1, q: 2, a: 1, o: 2, z: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 110*b**2 + 2147*b - 559. What is p(25)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 1043*u - 10371. Is j(38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 0. Let m be (34\/(-16) - -2)\/(((-70)\/224)\/((-105)\/(-42))). Put 0, m, d, 2 in ascending order.\nAnswer: d, 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 2*p + 77. Determine a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 37.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y + 57856 = -20840. List the prime factors of y.\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5870164?\nAnswer: 2, 19, 77239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1 + (-9)\/(-40). Let t = f + -2821\/360. Find the common denominator of 113\/6 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1023*z = 1021*z. Let i(q) be the third derivative of 0*q + 1\/60*q**6 + 0*q**3 + z*q**5 + 0 - 16*q**2 + 0*q**4 - 1\/105*q**7. Find u, given that i(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64265?\nAnswer: 5, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oooowowowoo.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -515 + 656. Calculate the highest common factor of b and 18330.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 9. Suppose d = -4*n - n - 165. Calculate the remainder when n*(4 - 2)\/(-6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbttbtbbbt. What is prob of picking 2 b?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cb2 - -25?\nAnswer: -c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2730.2 - -746.2?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2 + 9*f. Let r(g) = -2*g**2. Let l(w) = -17*w**2. Let s(p) = 6*l(p) - 50*r(p). What is c(s(j))?\nAnswer: 20*j**4 - 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5201 - -5195.5. What is the closest to q in 2, 0.1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-3 - 7 + 0)*(4 - y - 4) as a + q*y and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3890067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011000110 - -10111?\nAnswer: 110011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from {c: 4, u: 2, g: 4, x: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -452*p**3 + 3*p**2 + 3*p - 4. Let v be j(-2). Suppose 3759 + v = 3*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - ((10 - 10 - 9) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 7*d + 5. Suppose 0 = -2*f - 4*r - 24, 0 = -2*f + 3*f - 3*r - 8. Let z = f + 4. Suppose z + 24 = -4*y. Determine i(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11512\/48 + 1\/6. What is the highest common divisor of o and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((266\/171)\/(385\/66))\/(-4).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -37. Let h = 1 - -8. Let j = h + -9.1. Which is the second smallest value? (a) 0.2 (b) j (c) f (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**(2\/75)))\/i**(-6\/23))**(-27) assuming i is positive.\nAnswer: i**(-19989\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l + 14*l + 11*l - 3*l**4 + 2*l**3 - 31*l as o*l**2 + q*l**4 + i + u*l**3 + s*l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89a426 (base 11) in base 12?\nAnswer: 591a3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:45 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -25.53167.\nAnswer: 26.53167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -4*t. Let m be (((-10)\/(-42))\/(14\/49))\/(35\/63). What is the smallest value in 5, t, 0.3, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 8*d**2 + 5*d**2)*(2*d**2 - 2*d**2 - d**2 + (d**2 + 3 - 3)*(4 - 2 + 0) + 4*d**2 - 4*d**2 - 2*d**2).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/54 and -13\/2382?\nAnswer: 21438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 37\/11, 1, -6, 5?\nAnswer: 37\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/16*(-270)\/(-189) - (-254)\/8. Solve -r*d - 28 = -37*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 49. Let p be 74\/(-4) - (-7)\/(98\/35). Calculate c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 497*r**3 + 1. Let t be g(1). Suppose -3*y + n + t = 3*n, y = 2*n + 166. Suppose -3*k + y = 1. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*t + 7 = -2*t, -14 = -3*i + t. Let m(l) = -2*l**2 + 3*l - 4. Let k(u) = -3*u**2 + 4*u - 5. Determine i*m(c) - 4*k(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*v + v**3 + 0 + (v**3 - 5*v**3 + 2*v**3)*(3 + 1 - 2) - 9 + 26*v**3 + 9 + 16*v**3 - 7 + 7.\nAnswer: 39*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 10:12 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 u when three letters picked without replacement from xcjdwux.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249346 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 69*x + 96 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -11. Which is the third biggest value? (a) -0.04 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 396\/(-45) + (-42)\/10 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90581063 is divided by 7115?\nAnswer: 7113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -335, -178, 189, 760?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i. Let r(g) = -82*g**2 + 11. Let v(h) = -4*h + 6. Let w be v(0). Let a(d) = -41*d**2 + 6. Let f(y) = w*r(y) - 11*a(y). Calculate f(t(z)).\nAnswer: -164*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152141814 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 2, d: 1, u: 1, y: 2}. What is prob of sequence yd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/2)\/1*(-160)\/1320*-154?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfq when three letters picked without replacement from fffqqf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5979089, -5979087, -5979083, -5979077, -5979069, -5979059, -5979047?\nAnswer: -5979033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (4 + -7*2). Let y be 3\/(2\/2) - 1. What is the third derivative of -f*d**y + 3*d**2 + 0*d**2 + d**4 wrt d?\nAnswer: 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*((k\/(k\/(((k\/(k\/k**(-3\/7))*k)\/k)\/k)))\/k)\/k*k)\/k)\/(k\/((k*(k*k*k*k\/k**(-21\/5))\/k*k)\/k))*(k**(2\/13)\/k)\/(k\/k**8))**34 assuming k is positive.\nAnswer: k**(169014\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 868088.\nAnswer: 2, 13, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -397*a - 61926. What is b(-156)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 545 divided by 281967\nAnswer: 545\/281967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(77)\/(sqrt(11) - sqrt(99)) + -3.\nAnswer: -3 - sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:01 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 8:18 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence obvb when four letters picked without replacement from bbvovvbvvvvvvvbvb?\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*2\/(104\/20).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 9 = -33. Suppose n*c = 3*c + 4*v + 44, 4*c = -2*v + 38. Suppose 0*w = w - 4*t + c, -t + 25 = 2*w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 32850*q + 788784.\nAnswer: -2*(q - 49299)*(q + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 551*r + 1106 = 0. Calculate r.\nAnswer: -553, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 2, z: 4, r: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3644530 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 6 - 2)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16123\/26158 + 6\/319. Find the common denominator of 75\/46 and g.\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c*c\/c**(10\/13) assuming c is positive.\nAnswer: c**(133\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*m + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 1. Let t be x(1). Suppose t = -2*z + z + 29. What is the remainder when (316\/1580)\/((-2)\/(-830)) is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-9) + (-650)\/90. Let b = -13 - j. List the prime factors of (-8)\/b*(-126)\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -g - 0*g - 184, 5*g = 4*b - 200. Let l = 83 + b. Suppose -i = 4*i + 2*m - l, 3*i - 73 = -5*m. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a - 2*y + 50 = 0, 5*a + 41*y - 26 = 32*y + 10*y for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -2. Put v, -4, -1 in ascending order.\nAnswer: v, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312201003 - 1?\nAnswer: -312201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - f - 4. Let d be i(4). Let p = 15 - d. Let h be 7\/((4\/2)\/22). Calculate the highest common factor of p and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145806 is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*j - 28 = 0, 20*j - 19*j = 4*l + 12. Let z(g) = -6*g + 4. Let u(t) = -t + 1. Determine l*u(x) + z(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8731345 equal to 8731346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/9))**(-27)\/(u*u\/u**(6\/11)*u*u)**(5\/9) assuming u is positive.\nAnswer: u**(-2269\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*x = -0*b + 14, -5*x - 4 = 2*b. Suppose 19*p**3 + 23*p**3 - 18*p**4 - b*p**5 - 5*p**2 + p**5 - 17*p**2 = 0. Calculate p.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*r**3 - 3*d*r**2 + 342*d - 50*r**4 wrt r.\nAnswer: -6*d*r**2 - 6*d*r - 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7297.\nAnswer: 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 3 - 4*v - 4*v**2 - v**2. Let y(t) = -t**2 - t - 1. Let d = -288 + 288. Suppose -5*l + 5*f - 4*f + 23 = d, 0 = 2*f + 6. What is l*y(n) - i(n)?\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 71*x + 72. Does 8 divide z(37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/7 - (-280)\/(-196) - (-2 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*u = 32646 + 23344, 56008 = 4*w - 4*u. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + s - 10 = 0, -5*m + 0*m = -4*s + 6. Suppose -5*t = -4*t - m. What is the tens digit of 1 + 14 + t + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 2 = 5*j. Let t = j + 27. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**2 + 2*f**2 - 2*f**2)*(-5 + 5*f + 5)*(2*f + 2*f - 2*f).\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 + 0.14. Let z = h - 1.03. Let q = 0.1 - z. Which is the smallest value? (a) q (b) -0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 3*v + 45, -3*n = 5*v - 701 + 560. What is the remainder when ((-2)\/4)\/(1\/(-424)) is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311718167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-250)\/(-15))\/(-10)*(-9)\/(-90)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12836, 3, -4 in increasing order.\nAnswer: -4, 3, 12836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3))\/(r*r**(3\/4)*r*r))**(-1\/56)*((r*r**(-2\/7))**12)**(3\/4) assuming r is positive.\nAnswer: r**(4349\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3022 = -1625*v - 48 + 11651 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vpllppvpvll.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20707064*m*v**3 + 9605*m*v - 2207*v wrt v?\nAnswer: -124242384*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9443394 divided by 3?\nAnswer: 3147798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11, -116, -285, -512, -791, -1116, -1481?\n\"Answer: y**3 - 38*y**2 + 2*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -14 - (-6 + 22 + -26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 436890 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 2) + (42 - 39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 283 or 284?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m - 3. Let r(f) = 3*f + 4. Let y(p) = -2. Let i(v) = -2*r(v) - 6*y(v). Let u(a) = 5*c(a) + 6*i(a). Let g be u(3). Is g equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 316 = 59*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 823\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 60 - 18 = 0. Let l(s) be the third derivative of 0 - 1\/8*s**4 + 1\/4*s**3 + 0*s - 3*s**f + 1\/40*s**5. Factor l(j).\nAnswer: 3*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (19 - (-32 + -62)) - 1.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 52612\/29773?\nAnswer: 52612\/29773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*b + z, 3*b = 8*b - z - 42. What is the highest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/109 > -5.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8196.71677 rounded to the nearest integer?\nAnswer: -8197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**3 - 3*j**2 + 2*j. Let z be f(2). Let u = -37 + z. What is the remainder when 103 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -48. Solve x = -p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392307 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Solve n*p - 1 = -5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2\/5))\/(q\/(q*q**(-1\/6)))*q**(1\/2)*q**(2\/9))\/(q*q**(-7)*(q*q**(-2\/9))\/q)**(-13) assuming q is positive.\nAnswer: q**(-1184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 0*r - 27 + 61 - 37.\nAnswer: -5*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 13636350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303302 (base 4) in base 16?\nAnswer: 1cf2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/6*(-3 - -449)\/(-1).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 36*b**5 - 924*b**4 - 44396*b**3 + 29900*b**2 - 5000*b = 0?\nAnswer: -25, 0, 1\/3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2021446 divided by 41.\nAnswer: 2021446\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.867 - 21.867. Which is the closest to 0? (a) 5 (b) -1\/8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = 2*j - 267, -2*l + 6*l - 200 = -7*l + 7*l - 4*l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13816*t - 2.\nAnswer: 13816*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:27 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*18\/(-1458)\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, -0.3, -2\/17, 5, 47\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 - 32*m - 9. Let t(s) = 2*s + 2. Give -4*t(o) - z(o).\nAnswer: 3*o**2 + 24*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (11 + -8) - 2\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7490 + -22466\/3. Sort 4, 0.02, 98\/9, r.\nAnswer: 0.02, r, 4, 98\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 1\/3. Which is smaller: q or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 31, 65, 111, 169, 239?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -279*n - 130. Let g(k) = 280*k + 187. Calculate -2*g(q) - 3*o(q).\nAnswer: 277*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 28. Suppose q*r = -0*r + 28. Suppose r*x + 26 = 3*s, x - 4 = s - 2*s. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 5*n - 31 = 0, j - 5*n = 28. Is 3 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20667*y**5\/2 - 3989229*y**4 - 1388665269*y**3\/2 + 731972028*y**2 - 34066074*y + 405576 = 0. Calculate y.\nAnswer: -131, 2\/83, 1, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 11*k - 29 = n, 17 = 5*k + 2*n. Put 1, k, 9 in descending order.\nAnswer: 9, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 89334 and 13986.\nAnswer: 9916074","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - 2*b)*(2*b - 170*b - 90*b - 45*b).\nAnswer: 606*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 316 + -1a6d?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135552 (base 7) to base 2.\nAnswer: 110010110010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**2*y**6 - 27417*s**2*y**4 + 7600*s**2*y + 2*s*y**2 wrt y.\nAnswer: 120*s**2*y**3 - 658008*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 6)\/4 - -8. Let v(b) = 9 - 12 - 7*b + 201*b. Is v(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -1457304?\nAnswer: 1457301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:24 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 2.653.\nAnswer: -1.8571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (sqrt(275)*2 - sqrt(11) - sqrt(11) - ((sqrt(11) + 1)*-6)**2 - (2 + -1 + (sqrt(1584)*1)**2))).\nAnswer: -2015 - 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4985848*f*l - 9*f - 569573440*l with respect to f.\nAnswer: 4985848*l - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 - 6*f**4 + 2*f**4)*(-5*f + f + 3*f) + 3*f**5 - f**5 - f**5 - 5*f**5 + 2*f**5 - 9*f**5 + 5*f**5 + 2*f**3 - f**5 - f**5.\nAnswer: -3*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 847?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -45*n + 5. Let p(c) = -2*c + 3. Calculate -p(d) + u(d).\nAnswer: -43*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-12) + 9\/12. Let d = c - -1. What is the first derivative of -2*w**2 + 6*w**3 + d*w**2 - 7*w**3 + 1 wrt w?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 6*u**2 + 36705 + u**2 - 36705 - 82*u**3 - 32*u.\nAnswer: -82*u**3 - u**2 - 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1634)\/(-10) - 6\/(-10). Suppose 2*t = 4*g - o - 20, -t = 5*g - 223. What is the lowest common multiple of 55 and g?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*t - 19*t. Which is the nearest to 1\/12? (a) 0.3 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**5 - 46*m**4 - 26*m**3 + 148*m**2 - 70*m + 11. Let t(k) = k**3 - 2*k - 1. Let w(b) = 4*d(b) + 44*t(b). Let w(f) = 0. Calculate f.\nAnswer: -2, 0, 1, 46\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6040 + 6099. Calculate the remainder when 69 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1727 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.24 + 8.001. Let p = 376.419 + -376. Let t = p - l. Round t to 2 dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10 = -2*n, 6*h = n + h - 14. What is the units digit of n + 46*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6861*g + 5279*g + 1557*g - 1356003 = 0 for g.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5498 and 6.734.\nAnswer: -37023.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 288 = 3*c. Let t = c + -46. Is 3 a factor of (-18 - (-4 + 1))\/((-2)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**2\/2 - 10269. Let c(p) = -23*p + 23*p + 65*p. Calculate c(k(v)).\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 567997031*g*r - 13145*g - 2028 wrt r?\nAnswer: 567997031*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13662 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {l: 7, c: 2, a: 2, e: 2, z: 1, i: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2966206030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 1\/5*q**5 + 0*q**2 + 6*q + 0 + 0*q**4 + 1\/2*q**3. Find the second derivative of m(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 7*w**2 + 6*w - 1. Let z be n(6). Let q(m) = -14*m**3 - 2*m - 1. What is the tens digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325936)\/(-28206)*2\/4?\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 3*i + 9, 2*r + 446 = i + 449 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/11 - 28*m**3\/11 - 144*m**2\/11 - 320*m\/11 - 256\/11.\nAnswer: -2*(m + 2)*(m + 4)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97756 is divided by 19051.\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - j = 32*t + 42 - 10, -7*t - 9*j + 144 = 0 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 32, 5, -5, -4, -51 in descending order.\nAnswer: 32, 5, 4, -4, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -3. Let v(l) = l**3 - 2*l**2 - 12*l - 3. Let t be v(6). Let y = t + -63. Solve -3*h - 2*a + 1 = -y, f*h + 2*a = 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5464.8 years?\nAnswer: 65577.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-4))\/1)\/((-45)\/300)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*100*5\/10. What is the greatest common factor of 25 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/20 + 107*h**3\/2 + 423*h**2 - 6*h - 72. Differentiate p(z) wrt z.\nAnswer: -3*z**2 + 321","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*c = -2*c - 110, 4*c = 5*h - 133. Suppose 0 = -0*b - b, -5*w - 2*b = 90. Let g = w + h. Calculate the remainder when 12 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -17 (c) 2\/9 (d) -26\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**3*w + d**2*w - 2703*d - 3*w - 11508 wrt d?\nAnswer: 9*d**2*w + 2*d*w - 2703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 5*u**2 + 2*u. Is h(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -5) + 12 + (19 - 8) - 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*i - 73*i - 82*i)*(-9 + 13 + 6).\nAnswer: -1760*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**6 - 36*v**3 - 23*v**2 - 9 wrt v.\nAnswer: 720*v**3 - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2156607926 a multiple of 8107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:08 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 109412120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, i: 1, b: 3, o: 5, d: 4}. Give prob of picking 1 b, 1 o, and 1 d.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -20*f**3 - 96*f**2 + 10*f + 11. Give l(-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:36 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 381053 and 424877?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -5. Let l = 3 - 1. Let y = -2 + l. Which is the closest to y? (a) 0.4 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, -5, 1, 34, 48 in increasing order.\nAnswer: -15, -5, 1, 2, 34, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -233 - -150. Find the common denominator of 47\/12 and (r\/(-5))\/(24\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**26)\/a**9)\/(a\/(a\/(a\/(a**26\/a))*a)*a*a**(-17)) assuming a is positive.\nAnswer: a**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5\/2, 0, 3, 0.033?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532*q + 10*q**5 - 570*q + 3*q**3 - 2*q**3 + 6*q**5 wrt q?\nAnswer: 320*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1349*f**2 + 579.\nAnswer: -2698*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7711448l in millilitres?\nAnswer: 771.1448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14423 + 10120?\nAnswer: 30043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i + 1. Let p = 2 + -4. Let z(j) = -11*j + 3. Let n(c) = p*z(c) + 5*d(c). Let t be n(-1). Calculate the greatest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - 124774?\nAnswer: -125030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-2)\/12 - 9\/27). Suppose -5*q = 4*p + 4, -3*q = -f*p + 3*p - 2. What is q rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(720)*1 - sqrt(720)) + -2*(sqrt(720) - ((-1 + sqrt(720) - sqrt(720) - sqrt(720)) + sqrt(720))) + 0)**2*4 + 3.\nAnswer: 768*sqrt(5) + 46097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2411 + -2?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (2*sqrt(13))**2 + -3).\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.12 - 0.02. Let i = y - 0.3. Which is the nearest to 1? (a) -5 (b) -2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 4*f - 14*f - f to h + b*f and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120887 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - 3*b + 4*b + (-b - 3*b - b)*(-2 + 0 + 0) + (2*b + 0*b - 4*b)*(-1 + 1 - 2).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63699 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 600.347mg?\nAnswer: 600347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 + -263.2. Let c = 0.45 + -1.69. Let v = c - m. What is the second biggest value in -5, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**12)**(-1\/57))**(10\/9) assuming h is positive.\nAnswer: h**(-40\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and 134334186?\nAnswer: 134334186.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a factor of 2527488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*o + 33*o - 35 + 34 as p*o + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 175*d**3*s - d**3*v + d**2*s*v**3 - 6*d*v**3 + 3*s*v**3 - 13*v**3 wrt d.\nAnswer: 1050*d*s - 6*d*v + 2*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-77)\/21 + (-1)\/(2 - -1). Is 11763\/4 + -1*p\/16 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/7 + 69068*o\/7 - 760232\/7.\nAnswer: 4*(o - 11)*(o + 17278)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 + -59. Let b(m) be the first derivative of 4 - 3*m + 1\/2*m**r. Let y(g) = 3*g - 7. Determine 10*b(u) - 4*y(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z, 5*z = -4*l + 3*z + 138. Suppose 7*s + l = 69. Solve 2*r - 11 - 14 = -3*o, s = o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22212 + -331020032?\nAnswer: -330331220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30150 and 37241280?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/22 + 2472\/6798.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 3*l - l)*(1 - 2 + 0)*(0 - l + 5 + 0) - 57*l**2 + 26*l**2 - 33*l**2.\nAnswer: -62*l**2 - 10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + 5*i + 78, 2*n = -4*i - 126. Let p = n - 101. Let j = -55 - p. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from qqszefzsqszzs?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a = 0. Let n = 31 - 25. Suppose a = -3*p - b + 9, n*b = 2*p + 2*b - 20. What is the smallest common multiple of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.04545129\nAnswer: -0.018180516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 24*p + 9. Let s(j) = 3*j + 1. Let c(t) = 6*t + 2. Let u(b) = -6*c(b) + 14*s(b). Give -9*u(i) + 2*v(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 6*q - 27. Suppose 0 = 5*a + b - q, -2*b = -5*a - 14 + 35. Let y(t) = t**3 - 4*t**2 - 3*t - 5. Let i be y(a). Solve -m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 162\/36 - 6\/(-4). Solve -1 = j + 3*r, 3*j - x*r + r - 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -70*d + 2036. Let m be r(27). Solve 371 = -m*y + 199*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8152.98 decades in centuries?\nAnswer: 815.298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 + 53*q**2\/2 + 1530*q + 12150.\nAnswer: -(q - 90)*(q + 10)*(q + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343837 is divided by 1184?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 124\/3, 4, -765, 0.3 in descending order.\nAnswer: 124\/3, 4, 0.3, -765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -11*i - 22. Let l be d(-2). Suppose 6*k + 26 + 10 = l. Let t(y) = -y**2 + y + 9. Let p be t(-3). Sort k, 1, p in descending order.\nAnswer: 1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkm when three letters picked without replacement from {d: 3, r: 10, m: 3, j: 3, k: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133375.\nAnswer: 5, 7, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine halves of a week?\nAnswer: 2436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1946120142 to the nearest integer?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -898549*m**3 - 532*m**2 - 320*m wrt m.\nAnswer: -5391294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 u when three letters picked without replacement from bbbiibibiibiubimb?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105520647.15176505 + 105520645. Let t = a - -0.04185205. Let g = t + 2.11. Round g to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-8))\/((-18)\/(-223848)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w + 87*w = -l - 7, 2*w + 22 = -6*l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 11. Let u(s) = 3*s**2 - 22. Let c(j) = 3*u(j) + 7*z(j). Differentiate c(t) wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**2 - 4 + 4. Let h(w) = -6*w**2. Let j(q) = 3*g(q) - 5*h(q). Let y(b) be the second derivative of b**4\/12 + 3*b. Determine y(j(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/35 and 13\/17549.\nAnswer: 87745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*d + 101 = -29, 3*d = 4*t - 104. Suppose 4*p - t = -10. Solve -m + 2*h - 11 = 0, 7*m - 4*h = p*m - 27 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 - 166*d**3\/3 - 680*d**2\/3.\nAnswer: d**2*(d - 170)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -32\/475, 0.4, 0, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q**2 + q + 2. Let c = -51 + 62. Suppose g + 0 = -5*w - 9, -5*w = -2*g + 12. Let i(v) = -5*v**3 + 16*v**2 + 6*v + 11. Give c*p(k) + w*i(k).\nAnswer: -k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 84 - 84 + 190*z to the form c*z + n and give c.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*t - 166 + 24, 31 = b + 3*t. Suppose 0 = 3*s + 7 - b. Let i be 12\/s*(-20)\/(-6). Calculate the highest common divisor of 32 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 + 38\/(-6). Let l(m) = m**3 + 5*m**2 - 7*m + 1. Let h be l(v). Let r(d) = d**2 - 5*d. Is r(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8*w + 4565 + 4660 - 9342. Determine p(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.1736, 1.5, 1.6, 12?\nAnswer: 0.1736","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1}. Give 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 u and 1 p when two letters picked without replacement from pygggpyygygwuyjpyg.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 792967*t**3 - 624305*t**2 wrt t.\nAnswer: 4757802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 150643 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*x + 2135, 5*x = -23 - 2. Let g = 432 - t. Calculate the remainder when 23 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222 (base 6) to base 5.\nAnswer: 4033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9017\/275 + -340\/11. Calculate the common denominator of d and -19\/2325.\nAnswer: 2325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (444\/(-30))\/((-2)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, 1157, 1162, 1169, 1178?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-21489)\/(-4) - (-5)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 30*l - 5. Let d(a) = -a. Suppose -1 = 2*k + 5. Let m(u) = k*y(u) - 120*d(u). Differentiate m(f) with respect to f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**2 + 4*k - 6. Let l(z) = -z**2 - z + 1. What is -4*l(c) - u(c)?\nAnswer: 8*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + k + 2*k + 6 = 0, 4*k + 10 = 2*c. What is the fourth smallest value in -9, c, 2\/7, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. What is the least common multiple of (-10)\/(-4) + (-2)\/4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -0*p + 112. Calculate the remainder when 36 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 8*v**2 + 11*v - 16. Suppose -237 = 2*r - 255. Let n be i(r). Solve -7 = 2*u + u - n*a, 5*u + a + 16 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1451.57305 + 31.34995. Let r = -1490.3 + v. What is r rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85206 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = m - 8, c + 15 = -m + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*h - 5*k - 17, -4*k + 4 = 0. Let q(r) = 12*r**2 - 143*r. What is the remainder when q(12) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -32. Suppose -5*t = -5*u + 30, -2*u = y*t - 0*t - 8. Suppose 207 + 3 = u*j. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 120 + -103. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 6:33 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 1. Let u be p(0). Suppose 5 = 3*j - u. Let x(b) = b - 2. Calculate the smallest common multiple of j and x(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -4 (b) 0.04 (c) 0.5 (d) 9 (e) 4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1035821877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(p - p + p) + 23 - 23 - p + (4*p + p - 3*p)*(0 - 10 + 7).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6641570, -6641718, -6641864, -6642008, -6642150?\nAnswer: -6642290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/323 - 1491\/17765. Let d = 8\/11 + g. What is the common denominator of d and 95\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -481066, -481065, -481062, -481057?\n\"Answer: a**2 - 2*a - 481065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1120)\/100)\/(12\/(-750)) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-251650.\nAnswer: -2768150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1815 + 3699\/2. Calculate the common denominator of 155\/84 and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 117 - 195 + 75 - 6*l**2 - l - 4*l. Calculate d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/360 - o**3\/3 - 2*o. Let y(n) be the second derivative of j(n). What is the smallest common multiple of y(4) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79973 take away 32?\nAnswer: -80005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 56*a**2 + 25*a + 25. Calculate the remainder when s(-57) is divided by 185.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.9 times -45?\nAnswer: -3280.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18377097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836602791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -43323?\nAnswer: -43306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 10*d**5 - 64*d**4 + 98*d**3 + 4*d**2 - 48*d = 0.\nAnswer: -3\/5, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50736, 101471, 152208, 202947?\n\"Answer: l**2 + 50732*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111010 (base 2) to base 10.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 6 = 0, 0*t = 3*t + 2*w - 3. Suppose -4*c - 11 = -t*c. Let f be 1\/(-3)*(-50 - c). Solve 0*r + 4*o = r + f, 4*r + 5*o = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/30 + 39*w**5\/5 - 123*w**4 + 71*w**2 - 15. Let k(r) = 0. What is r?\nAnswer: -123, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -168*o**3 + 827*o + o**5 + 10*o**4 - 69*o**3 - 3*o**4 + 556*o**3 wrt o?\nAnswer: 20*o**3 + 84*o**2 + 1914*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 4*m - 8*m + 2*m + 15*m to the form w*m + a and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 13*c - 3*c)*((0*c + c - 2*c)*(-5*c**2 + 4*c**2 + 4*c**2) + 9*c**3 + 13*c**3 + 3*c**3).\nAnswer: 264*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101002121002 + -201?\nAnswer: -101002121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/22 - -47\/11. Let q = -19010\/19 - -378889\/380. Find the common denominator of q and a.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 95 + -63. Is 4\/w*-6 - 369596\/(-16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/1075 and 58\/1638945.\nAnswer: 8194725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 4*c + 10. Let b be t(9). Let y = -48 + b. Suppose 0 = w + y*w - 560. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 30 + 6 = 0. Let b(d) = d**3 - 5*d**2 - 7*d + 7. Let p be b(v). Let s be (-1)\/(3\/6 - p). Solve s = 5*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.05, -3, 2\/11, 87 in ascending order.\nAnswer: -3, 0.05, 2\/11, 0.5, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -8753.217994544.\nAnswer: -8753.617994544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (-21 + 4 - (43 + -76)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 + 3*l. Let w be f(-2). Suppose -w*u + 24 = 2*u. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 39) + -3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 2\/(-1) + 3. Suppose g + 7 = -l*a + 22, a - 5 = -g. Suppose -10 = -g*j - 2*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.43361578 and 92?\nAnswer: 87.56638422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24063, 24062, 24051, 24024, 23975, 23898?\n\"Answer: -i**3 + i**2 + 3*i + 24060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2266 (b) -10\/9 (c) -0.0572 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78323 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2221 + 102122?\nAnswer: 33301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from cssscsss?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 + -44 - 1) + (1 - (10 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2123a4a + 5?\nAnswer: -2123a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 154594600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -2545\/3121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547497937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10313201 + -11?\nAnswer: -10313212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 893 and 10232507?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004359487 to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -3, 347498, 1\/5 in ascending order.\nAnswer: -3, -0.2, 1\/5, 5, 347498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2024 - -5876\/3. Let h = 66 + x. What is the common denominator of h and 23\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/3, 0.17.\nAnswer: -2\/3, 0.17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2966, 5932, 8884, 11816, 14722?\nAnswer: 17596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 20*g + 14. Let l(z) = -24*z - 15. Determine -5*k(m) - 4*l(m).\nAnswer: -4*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*x - 306*x = 2871 + 9396 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 3:45 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3309.8 + -64.\nAnswer: -3373.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 4\/3*p**3 - 1\/4*p**4 + 1 + 1\/2*p**2 - 4*p. Suppose 28 = 6*v + 4. What is g(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2374 is divided by 417?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482*s + 123*s - 201*s)*(-11*s - 12*s**2 + 11*s**2 - 5*s).\nAnswer: 560*s**3 + 8960*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/28*((-77)\/(-7) - 18). Let b = -1 - -1. Let r be (-2 + 1)*b\/2. Put 1, r, i in descending order.\nAnswer: i, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*t - 277*t - 38*t**2 + 4*t**2.\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let v(x) = 11*x**2 + 5. Let m(u) = -39*u**2 - 18. Let o = -6 - -12. Let g be 4\/o*(0 + 27). Let s(t) = g*v(t) + 5*m(t). Calculate s(f(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 30, 23, 4, -33, -94?\n\"Answer: -i**3 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2896.69 + 2896. Let t(u) = -u**3 - 8*u**2 - 1. Let w be t(-8). Are y and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -42, -126, -256, -426, -630, -862?\n\"Answer: i**3 - 29*i**2 - 4*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175126?\nAnswer: 2, 587563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 19*v**2 - 2*v + 7. What is the remainder when 123 is divided by y(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(228) + (sqrt(228) - (sqrt(228) - ((sqrt(228)*1 + sqrt(228))*6 - sqrt(228)) - sqrt(228))))\/(-3*sqrt(972))*5 + 1).\nAnswer: -325*sqrt(19)\/27 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5252 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 91 = -79. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -769*q**4\/2 - q**3\/3 - 731*q**2 + 76. Find the second derivative of p(o) wrt o.\nAnswer: -9228*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2324 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601802 is divided by 304?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 11*r**2 + 2*r + 137. Calculate j(-11).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9285 + 18589\/2. What is the common denominator of i and 53\/526?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Suppose o*i - 8 = -2. Suppose 0*x + 6 = i*x. Solve 0 = 3*n + x*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**2\/9 - 199904*m\/9 - 799712\/3 = 0.\nAnswer: -12, 99964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = -54. Let d be v\/(-144)*1\/3. What is the biggest value in -2\/9, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 10*s**2 + s + 10. Give q(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1499817 and 67.1.\nAnswer: 1499884.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**3*w**2 + 1433*a*w**3 - 819*w**3 wrt a?\nAnswer: 9*a**2*w**2 + 1433*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1473779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3 + (-10)\/(-4)). What is the second smallest value in -1\/7, 3, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let b = a - -1. Let i = -0.7 + -0.3. Sort b, -4, i.\nAnswer: -4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16104\/660 - (0 - -23)) + (0 - 1). Let s = 0 + -1. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853928930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.86 (c) 3 (d) -929\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + 962\/(-156))\/(3*(-4)\/192). Factor 2\/9*g**4 + 8\/9*g**2 - 14\/9*g**3 + s*g + 0.\nAnswer: 2*g*(g - 6)*(g - 2)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108770197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/27)\/8)\/(1\/(-42)*-21)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1739 and 1739.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000010415546 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*s - 14. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 10*g + 30 = 0. Is 3 a factor of 50\/g + -1 + 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14921.041 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2045 (base 6) to base 3\nAnswer: -122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 360 and 210?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 21 - 6 - 2 + 7*m + 18 + 12.\nAnswer: 7*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctt when three letters picked without replacement from tybtccaa.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y + 31. Let n = -76 + 91. What is the remainder when x(-6) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27868.98 - -27869. Let z = 1.3 + -0.3. Suppose 2*s = -5*m + 23, 2*s - 3*m + 0*m = -1. What is the nearest to z in s, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 6:15 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954089369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 7*y + 35 = 0, -2111*o + 35 = -2116*o - 3*y for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-15 + 7 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 27?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 x when four letters picked without replacement from smsxxsgsgmsgs.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11112 - 142 = -954*l - 23599 - 2637 for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1204087 and 43\/508.\nAnswer: 4816348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 - 1\/8*b**3 - 11\/4 + 31\/8*b = 0.\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72\/12 + -5 + 2. Suppose -1 = u + n, 4*u = p*n + 10 + 7. Let k(f) = f**2 + f. Let t be k(0). Solve t = -u*w + 6*w - 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 69.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.46 - 0.46. What is the biggest value in l, 1\/5, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -908 (b) -0.25 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 321, -5 in increasing order.\nAnswer: -5, 0, 10, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3*4\/(-18))\/(95*2\/627)\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1003*f**2 - 1. Let y(t) be the second derivative of -t**3\/6 - 6763*t. What is y(m(s))?\nAnswer: 1003*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -3*p**4\/16 - 51*p**3\/4 + 81*p**2 - 165*p - 633. Determine l, given that h(l) = 0.\nAnswer: -55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 152, -5, -3\/8, -1\/14 in decreasing order.\nAnswer: 152, 3, -1\/14, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4435.589 millilitres to litres.\nAnswer: 4.435589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (1 + sqrt(1377))) + -4 - -4*(sqrt(1377) - (sqrt(1377) - (sqrt(1377) + -1))).\nAnswer: -9 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 3, c: 5}. What is prob of picking 2 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/10, -3684 in descending order.\nAnswer: 3\/10, -4, -3684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 81*q**2. Let n(k) = 5999266 - 7*k - 5999266. What is n(g(u))?\nAnswer: -567*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44944*a**3 - 23995856*a**2 + 643370916*a - 4427380584 = 0 for a.\nAnswer: 1479\/106, 506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 5. Suppose n = -3*y - 3 - 0. Let w(f) = 9*f**2. What is the smallest common multiple of 10 and w(y)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 2, -3 = 2*p - 5*c. Calculate the highest common factor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2195 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 19.581 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4856, -4, 88 in ascending order.\nAnswer: -4856, -4, -1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -138187 + -1?\nAnswer: -138188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 37 (b) -2\/27 (c) -0.14 (d) 1 (e) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, -2\/5, -2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 119879536 and -4.\nAnswer: -479518144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let q = 1 - d. Let j = 3 - 0. What is the third biggest value in 2\/13, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - h + 51 = -2*h, 0 = 4*u + 2*h - 38. Let r = 5 + u. Suppose 0 = -2*q - f - f + 20, 0 = q + 2*f - r. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-39)\/(-52)). Solve a + 1 = 0, q - y*a - 1 = -4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:31 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.22271 hours in days?\nAnswer: 0.30094625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*a - 284*a + 2569 = 0. Calculate the remainder when 384 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*q**2 - 1 - q**3 - 29*q**2 - 5*q**4 to j*q**4 + c*q**2 + m*q + f*q**3 + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01540187 to five dps.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1964.885 times -0.14?\nAnswer: 275.0839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*f**26))**(4\/5))**43)**(-4) assuming f is positive.\nAnswer: f**(18576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1205*q + 1205*q + 85*q**4)*(-4 + 0 + 12)*(-2*q - 2 + 2).\nAnswer: -1360*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 952\/(-3570)*4050\/20\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 216*j + 2*j**3 + 18*j**2 - 216*j to m*j**2 + i*j + s*j**3 + r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 15) to base 16\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -13692 - m**2 - 6*m + 13662 + 19*m. Let b be h(4). Solve b*v = 2*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 - -1925\/6. Let f be ((-61439)\/140)\/(52\/(-5)). Let g = f - 590\/13. What is the common denominator of s and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {w: 1, e: 10, b: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 4*b**2 + 9*b - 30. Let h be j(3). Solve g - 17 = 5*q, -3*q - h*g = -g + 27 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*q - 5 = 0, -2*z = -z + 3*q + 7. Suppose o - 36 = 19. What is the greatest common divisor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 229346.\nAnswer: -45869.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -32. Let w be (1 + 3)*z\/(-2). Let k(p) = 5*p + 16. List the prime factors of k(w).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -650488?\nAnswer: 650502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1389.\nAnswer: -1\/1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-4 + 25 + -36 - 16)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 215.\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - g = 5, p + 131*g - 130*g = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 29*l**3 + 0.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 155757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 359 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27369 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 30. Solve -f + 5*f = -u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1122*c + 147 wrt c.\nAnswer: -1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z - 2 = 0, -112053 = 5*i - z. Round i to the nearest one hundred.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*-1*-6)**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57156343609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 155*g**2 - 5*g - 3. Let k be m(-1). Let l = k + -153. Solve 0 = -0*h + l*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97290 and 20680?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(((-9)\/45)\/(216\/20)). Suppose r = -4*j + 170. Calculate the smallest common multiple of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/120 - i**5\/10 - i**4\/8 - 3*i**3\/2 + 3*i**2. Let n(m) = -3 + 4 + 3*m + 2. Let r be n(-3). Determine o(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9195*v - 8871*v + 18363*v.\nAnswer: 297*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 3191?\nAnswer: -318b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -1 - (-1808 - -1875)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - r - 25 = 0, r = -4*p + 5*r - 20. Let t = 12.3 + -10.3. What is the closest to -1 in p, -4\/7, t?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 6*h**3 + 12)*(h - 2*h + 2*h) + 3*h**4 - 2*h**4 + h**4.\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 54 = 2*s. Let m be 33*(-2)\/s*2. Solve -2*i - i + 2*f = -19, -4*i + m = -f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -263. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9\/130 - 537\/715. Let q = 65 - 717\/11. Let r = q - d. What is the nearest to r in 0.3, -1\/2, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2097689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in 2, 2\/7, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 71 = 3*m, 4*c + m - 143 = 24. Let o be (-41 + c + (-6)\/4)*0. Solve o = -g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let l(b) = 5*b + 1. Suppose -3 - 5 = 4*v, 2*v = 2*s - 6. Give s*l(d) + 2*q(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -221 - -220.339. Let u = 0.161 + z. Which is the closest to 6? (a) 3\/2 (b) u (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39036 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**3 - 74*b**3 + 149*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)*(-7)\/(-7). Suppose 2*b - 58 = -x. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 3, 80, 3\/8, 4, -908\/17, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**6 + 52*j**5 - 23*j**2 + j - 55 wrt j.\nAnswer: -1320*j**3 + 3120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -16. What is the units digit of 4\/b - 1 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 258 - 62. Suppose -p = -5*d + 5*c + 2, 2*d - 16 = 3*c. Solve 0 = d*a - z, a + a + 3*z = 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 - 1\/60*u**5 + 0*u + 3\/8*u**4 - 3*u**2 - 3\/2*u**3. Let n be r(6). What is the highest common divisor of n and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 9*n**2 + 11*n + 27. What is the hundreds digit of u(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 - 5*v - 2. Let p be l(-6). Find the common denominator of 37\/5 and p\/40*1*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366 is divided by 420.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 89 = 3*v - 50, 5*i - 140 = -3*v. Suppose -3*d + v = 9. Suppose 3*y - 22 = -5*c, y + c - 4*c - d = 0. Solve -4*k - 20 = -y*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 6731*o - 94035. Calculate h(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35104 divided by 4.\nAnswer: 8776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*u - 5*x, 3*u + 27 = 5*x + 71. Suppose 5*a + 72 = u*a. Let d = a - 21. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 511?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13) + -1*sqrt(13)*-6 + (-2*sqrt(1053))**2 + ((sqrt(65)*2*-1)\/sqrt(5))**2 + 0.\nAnswer: 7*sqrt(13) + 4269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y**2 + 55 - 51 - 2*y - 2*y**3 + 6*y - 12*y. Calculate x(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75766419.\nAnswer: 3, 181, 46511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = 2*u + 48. Is 20 a factor of (691 - u - -3) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 415124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-11 + 13 - -11) - (144 - 68).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:21 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:09 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*a + t, -3*t + 4*t = -5*a + 47. Suppose 0 = -14*j + a*j + 280. What is the third derivative of -j*b + 14*b**2 - 4*b**3 + 56*b wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40083 is divided by 63.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 + 195*d - 1876. Determine q(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 15\/(-90) + 31\/114 + 7960\/190.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*c = 317 + 1003 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3108 and 2877?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2193, 2584, 3197, 4032, 5089?\nAnswer: 6368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 59.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3275 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232230123 (base 4) in base 15?\nAnswer: 8e51d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 0 + (5 - -11) + (16 - 42 - -11).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407 + 529. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598 a factor of 2121433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -29*q. Let a be (-100)\/1050 + 372\/(-63). Let z(j) = -28*j. What is a*z(i) + 5*l(i)?\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 8084740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962348.2 microseconds in minutes?\nAnswer: 0.04937247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcvtfvfvcv. What is prob of picking 1 t and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 8)*(k + k + 0*k) + 0*k + 3*k - k + k - 4*k + k + (3 + 2 - 4)*(0*k - 3*k + 2*k) + 2*k - 2 + 2 to c + x*k and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -26525313.1 + -42.3693\nAnswer: -26525355.4693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 96089*g**2*o**3 - g**2*o**2 + 74*g*o**3 + 1096*g*o**2 - 3*o**3 + o wrt g?\nAnswer: 192178*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*g. Find the common denominator of (4\/24)\/(g\/(-284)) and (-1)\/7*(7 - 1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 14400 = 33*y. 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: Suppose 295 = -7*b - 398. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 71, -5, -11, 0 in ascending order.\nAnswer: -11, -5, 0, 25, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 1, 2, 18, 27 in descending order.\nAnswer: 27, 18, 2, 1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(288) - sqrt(288))*-2)\/(-4*sqrt(12)\/sqrt(2) + (1*sqrt(294) - sqrt(294) - sqrt(294))).\nAnswer: -16*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -360 + 418. Which is the closest to -1? (a) r (b) -5 (c) 1\/6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**3 - 1 - 15*d**2 - 222*d + 33*d**3 + 32*d**3 + 540*d wrt d.\nAnswer: 342*d - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061082933 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w)\/((w**(-1\/5)*w*w)\/w)*(w\/(w\/(w\/((w**(-1)\/w)\/w))))**1 assuming w is positive.\nAnswer: w**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 327 - 107 - 11577*g - 110.\nAnswer: -11577*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 6877?\nAnswer: 34385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/34 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151905 and 1425.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/7)\/s*s)\/s)\/s)\/s*s*s*s**(-5)*(s**0)**(-3\/4) assuming s is positive.\nAnswer: s**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -45. Let c be (-43)\/(-4) - 33\/44. Do c and h have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x + 27*x - 14*x + 72 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/484*495\/(-90). What is the closest to -2.53 in 3, -1\/5, v?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**9\/1008 - b**6\/360 - b**3\/3 + b. Let s(c) be the second derivative of f(c). Find the third derivative of s(j) wrt j.\nAnswer: -180*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -0.2, 5, -36408 in descending order.\nAnswer: 5, -0.2, -15, -36408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 766752.\nAnswer: 766752.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-6)*k)*k)\/k**(-8))\/((k\/(k*k*k**(1\/15))*k)\/(k**6\/k*k)))\/((k**2)**(-1))**(1\/13) assuming k is positive.\nAnswer: k**(4138\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**3 - z**2 - 8*z - 6. Let n(p) = 13*p**3 - p**2 - 7*p - 5. Let h(u) = -6*j(u) + 7*n(u). What is h(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141694.319 rounded to the nearest 10?\nAnswer: 141690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1520 and 5\/21014.\nAnswer: 840560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -498, 5, -1, 3, 2, -5 in descending order.\nAnswer: 5, 3, 2, -1, -5, -498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18450 divided by 5?\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v + 9. Let q(n) = -1. Let d(t) = 6*q(t) + u(t). Let w be d(-6). Calculate the greatest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.3, 0.3, 7\/4, -2\/859 in increasing order.\nAnswer: -0.3, -2\/859, 0.1, 0.3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1630\/7497 - -4\/833. Which is the nearest to 26? (a) -29 (b) -3\/8 (c) 0 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 138*w - 2*w**3 - 108*w + 3*w**3 to the form m + u*w + j*w**2 + q*w**3 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9472 - 0.0072. Let s = 3.06 - 3. Let d = s + x. Which is the nearest to -3? (a) -0.3 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/1)\/20)\/(634\/3804)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 14*f**2 - 11*f - 36. Calculate the lowest common multiple of 44 and o(15).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13728.5 - -13728. Let z = 1 + -1.1. What is the closest to -0.1 in 2\/3, z, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*c*x**3 + 5033*b**3*x**3 + b**2*c*x - 2*b**2*x**3 + 2*b*c*x**2 - 87*x**3 wrt b?\nAnswer: 18*c*x**3 + 30198*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 903, 5224, 12355, 22290, 35023, 50548, 68859, 89950?\n\"Answer: -x**3 + 1411*x**2 + 95*x - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 - 4*d + 8. Let i = -37 - -42. Let f be g(i). What is the greatest common factor of f and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/(-574))\/(9\/(-3906))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 387839729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16950 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-189)\/(-15) + 2 - (-2)\/5.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8d928 (base 16) to base 5.\nAnswer: -122024010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 19 = 11*f - 4*y, 3*f = -2*y + 11. Calculate the remainder when 384 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 87*n**2 - 4118*n + 27375. Determine j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*l - 72 = -9*l, 3*l + 36 = 3*p. Suppose 3*x = -4*f - 3, -21*x = -25*x + f + p. Solve 4*t = -t - 5, -2*g - t + x = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 62 - 238. Calculate the remainder when (n\/18)\/((-2)\/(-30)) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4309070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 25*c - 15 = 0, 11 = -3*f - 4*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/26 + 8\/((-624)\/(-378)). Which is the second smallest value? (a) 5\/3 (b) 7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24)*-4)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946 = -4*p - 5*u + 1947, -4*p - 3*u = -7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 88 at most as big as 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 1:40 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 1. Let n(t) be the first derivative of -2*t**2 - 2*t + 23. Let j(z) = 4*g(z) - n(z). Let u(b) = -1. What is -j(s) + 4*u(s)?\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from cqvcqv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zazzwzzmzzzzwmzw. What is prob of picking 1 a and 2 w?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45104099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -23*b + 250. Let m be d(23). Is -283 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 2. Suppose 0 = -2*d + v + 14, -13*d - 3*v = -9*d - 38. What is the least common multiple of d and y(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 110 = -0*n. Suppose n = -3*p + 403. Let j = p + -83. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(225)*-2*-2 + -3*sqrt(225)*1))\/(sqrt(125)*1 - sqrt(125) - (sqrt(5) - sqrt(500)*-4)))**2.\nAnswer: 1125\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 28 + 48. Suppose m = 2*c + 20, -3 - 1 = -2*c. Let o be (37\/4*-2)\/(12\/m). Is t != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 6. Let d be z(6). Let l = d + 0. What is the smallest common multiple of 4 and (22\/l + -3)*-3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.7 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 13*w - 28. Let h be r(9). Solve -m - t = 4, 3*m - 4*t = -3*t + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6. Let q be 1\/(0 - 1 - (8 + -13)). Does q = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 c, and 1 h when four letters picked without replacement from sqcbbhsqhqdb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2308*c**3 - 4040*c - 13086*c - 8028*c - 2306*c**3 to the form o*c**3 + l*c + x*c**2 + r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5009 divided by -199?\nAnswer: -5009\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 43*b - 272. What is k(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-7 - -1 - (-1 - 0))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cczuugcrc. What is prob of picking 1 c and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 143000 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63130777 is divided by 1527.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111100010001110111111 (base 2) in base 10?\nAnswer: -8266687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1002 divided by 2.\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 5*c - 23. Let x be k(-8). Let p be (3 - (x + 0)) + 3\/1. Let w(f) = -f**3 + f**2 + 3*f - 2. Let q be w(2). Solve -5 = -p*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 731814.5m?\nAnswer: 731814500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g. Let t(r) = 10039*r. Calculate s(t(o)).\nAnswer: 20078*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 94079.59 millimeters in meters?\nAnswer: 94.07959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*k - 424 = 824, 3*x - 1262 = -4*k. Let y = 196 + x. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 10:11 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/1492, -0.0461, -0.3, 2, 2\/11?\nAnswer: -0.0461","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3664 + 4400. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 7:02 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 - 405 = -3*s + 3*r, 366 = 2*s - 4*r. List the prime factors of s.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z - 175 = 0. Does 27 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 114?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from vvdvvvvjvjvvvv.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256883, -256885, -256887, -256889, -256891, -256893?\nAnswer: -256895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 777 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 524893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + b + 403. Let j be g(0). Calculate the greatest common divisor of j and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62669880?\nAnswer: 2, 3, 5, 7, 13, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-5 - -10) + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(5\/7) assuming o is positive.\nAnswer: o**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1041103 + -1111?\nAnswer: 1034442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9204 by -78.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 522.7 - 523. Which is the nearest to -32? (a) -0.5 (b) 2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 56*m**2 + 133*m - 1235. What is the units digit of j(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*i - 206*i - 6489 = 198*i for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876 = -0*a - 2*a. Let b = -575 + a. Is (-5)\/(-20) + b\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s + 341 = 266 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 + 68*l + 152 = 0. What is l?\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 24. Let g be m(-17). Suppose 121*x = g*x - 30. Solve 3*u - 5*v - 30 = -0*u, -2*v - x = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = h + 5*n, -14*n + 25 = -9*n. Solve 3*z = 2*a + 4, 2*a + 6 = -0*a + h*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let r be w(-6). Let c = 25 - r. Is 14*2*c\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 148 + 168 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6062675 and 34468?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v. Let t(j) be the first derivative of -8*j**3\/3 - 55. What is t(z(y))?\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/8)\/((-10)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 1. Is 21\/o*(0 - 1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a day in minutes?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (71 + -48 - (7 - -1)) + -1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17542*c**3 - 17540*c**3 + 16 - 26 + 10.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1183, 2481, 3759, 5017, 6255, 7473?\n\"Answer: -10*t**2 + 1328*t - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*g**2 + 2*f*g*x**2 - 28*f*x**3 - 2*g**2*x**3 - g**2 - 2*g*x**3 wrt g?\nAnswer: 6*f - 4*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.91448166469 and -6.\nAnswer: -6.91448166469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4380718180*l**2 - 11*l**3 - 4380718180*l**2.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 40497 divided by 13499\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3058859\nAnswer: -3\/3058859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 189*f**2 + 4685*f - 43. Determine p(-25).\nAnswer: 957","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-24)*16\/140. Let x = -71\/96 - 1\/96. Let m = -0.03 + 2.03. Which is the nearest to m? (a) 0.4 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from vvvzvzvzvvzvvvvzvv?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 5*b**2 - 3*b - 2. Suppose -i + 50 = x, 7*i + 4*x - 247 = 2*i. What is the remainder when i is divided by u(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*s, n - 9 = -2*n - 3*s. Let a(d) = 24*d. Does 24 divide a(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -609 + 608.517. Let q = l + -252.517. Let c = q + 251.89. What is c rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 1643 - 267. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1461 + -1452. Calculate the greatest common factor of 1566 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2*m**2 - 2866. Let p(k) = -442*k. Determine p(o(a)).\nAnswer: -1768*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 16. Calculate the remainder when 124 is divided by q(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 3. Let m be c(-2). What is the remainder when 125 is divided by 400\/48 + 2\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.069639 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 61, 5, -4 in decreasing order.\nAnswer: 61, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14204420 + -34?\nAnswer: 14204331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 8:48 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 3*x**4\/4 - 107*x**3\/6 + 44*x**2 + 3*x - 299. Factor o(u).\nAnswer: (u - 11)*(9*u - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 16*q**2 - 111*q + 27. Determine l(-21).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = 2*k, 11 = -2*v + 6*v + 3*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let j(r) = 11*r**2 + 7*r**2 - 39*r**2. Determine j(m(d)).\nAnswer: -21*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.85 + 0.15. What is the nearest to n in -0.4, -0.1, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -4. Let t be (165\/x)\/((-2)\/(-4)). Suppose -h + 4*h - t = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -785*y**2 + 17. Let a(s) = -197*s**2 + 4. Calculate 9*a(d) - 2*b(d).\nAnswer: -203*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 - 636\/21. Let w be r\/(-9) - 1\/3. Suppose -q - w = -3*q - i, 2*i = -3*q + 2. Solve 5*l - q = -3*n + 9, -4*l + 4 = -4*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3157 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -33*z**3 - 26*z**2 + 582*z + 52. Let q(l) = -7*l**3 - 5*l**2 + 116*l + 11. Calculate 19*q(v) - 4*s(v).\nAnswer: -v**3 + 9*v**2 - 124*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1688035 weeks in minutes?\nAnswer: 1701.53928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(-2*sqrt(272))**2 + 5 + ((sqrt(272) - -4*1*sqrt(272))**2 - sqrt(272)) + sqrt(272) + 3 + sqrt(272) + 1 + sqrt(272)).\nAnswer: 32*sqrt(17) + 5476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.27 - 0.37. Let i = 234 + -231. What is the nearest to h in -5\/3, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40969057 to the nearest integer?\nAnswer: 6401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1800538288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1232 (base 6) to base 16\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5 - 583*m**4 + 2321*m**3 - 2897*m**2 + 1158*m = 0.\nAnswer: 0, 1, 2, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -23. Suppose -h = -4*a + 1. Suppose -a = -0*o - 2*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 31*y + 293. Let l be t(-8). What is the second smallest value in 2\/3, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 378 + -376. Let i(q) be the first derivative of 0*q**3 + 4*q**k + 1\/4*q**4 - 1 + 0*q. What is the second derivative of i(p) wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132464 + 132463.9. Let c be (-9)\/(-10)*(-2)\/12. What is the second smallest value in c, -0.5, y, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -127 (b) 2\/15 (c) -2 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 12\/(-42). Suppose f = -4*i + 34 + 14. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77947598 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1 (b) 2 (c) -7208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by -2*(21\/(-6) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423 = 7*k - 172. Suppose -4*y + k + 11 = 0. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:08 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*r + 8*r - 4022, -3*r + 6014 = -5*f. List the prime factors of r.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/3 - 15*j**2. Let g(r) = 2*r**2. Give g(a(l)).\nAnswer: 800*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -3, -16117, -1.\nAnswer: -16117, -6, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 7*c**2 + 5*c. Let x(j) = 11*j**2 + 8*j. Let g(b) = 8*i(b) - 5*x(b). Let v(l) = l. Give g(v(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3550 = -2*l + 1902. Let q = l + -27311\/10. Calculate the common denominator of -55\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 1 - (43 - (5 - -34))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 1. Suppose p - 10 = -p + 3*o, -25 = -w*p - o. Suppose 2*a + 2*c - 20 = 0, 7 + 3 = a - p*c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35231955893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:18 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209.2 - 209. Which is the smallest value? (a) w (b) -0.3 (c) 0.5 (d) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 436, 3346, 11240, 26608, 51940, 89726, 142456, 212620?\n\"Answer: 415*i**3 + 2*i**2 - i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 + 336*r**2 - 100*r - 11295. Determine l(-67).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -19. Suppose -2*m + 69 = -r*k, -5*k + 33 = m + 161. Let h = k - -21. Put -2, h, -7 in increasing order.\nAnswer: -7, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146675193.\nAnswer: 3, 7, 19, 43, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2. Let b be d(2). Let x(j) = -j**2 + 68. Let y be x(b). Suppose -u - y = -4*r - 3*u, -2*r - 5*u = -42. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5739152?\nAnswer: 2, 358697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68 - 68. Factor -6*f - 29*f**2 + 30*f**2 + g*f + 5.\nAnswer: (f - 5)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1287\/572*(-5704)\/(-186)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - 6*p + 4. Let i be n(4). Let c be (4\/(-5))\/(i\/(-120)). Solve -5*g = -0*g + 2*t - c, 0 = -5*g + t + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -717 divided by 1?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 60.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9116 + 1704 = 20*n. Is n*((-6 - -11) + 8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + 0 - (2 + -1). Calculate the highest common divisor of 33 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215831524 to the nearest 10000.\nAnswer: -215830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30473661 to the power of 1\/2, to the nearest integer?\nAnswer: 5520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 80214737124672.\nAnswer: 80214737124671.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 256 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the remainder when 1093 is divided by 176?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/3))**25 assuming l is positive.\nAnswer: l**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*n - 3*n - 5 = 0, i + 2*n = 6. Let u(x) = 3*x - 22. Let v be u(9). Suppose 2 = 4*p - v*p. Sort -5, i, p in descending order.\nAnswer: i, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216\/7 - 150\/7*i**2 + 316\/7*i + 3*i**3 + 1\/7*i**4.\nAnswer: (i - 2)**3*(i + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875451293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314326871.\nAnswer: 314326871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*-5)\/(-3*sqrt(48)).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5835762535 rounded to the nearest 1000000?\nAnswer: -5836000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 - 548*o + 394. Give c(-79).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 3:22 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 159641\/52 - 12341\/4. Which is smaller: -0.3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 460 = w - 5*w, 0 = w + 5*s + 92. Let z = -556\/5 - w. Determine p so that 4\/5 + 2\/5*p**3 - 2\/5*p - z*p**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:43 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -9. Let w(q) = 3*q**3 - 7*q**2 - 3*q + 2. Let g(f) = 16*f**3 - 35*f**2 - 14*f + 11. Let y(x) = -2*g(x) + 11*w(x). What is the units digit of y(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and -29\/2640?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11068031 is divided by 192.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2663370.269 and -0.2.\nAnswer: 2663370.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 1\/4, -16 in descending order.\nAnswer: 1\/4, -0.09, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262 and 11?\nAnswer: 2882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1740)\/261*27\/(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643 divided by 1912?\nAnswer: 1643\/1912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggnggng. What is prob of sequence ng?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggulltnllll. Give prob of sequence ulut.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwz when four letters picked without replacement from {w: 3, z: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -3994, -14109, -33802, -66265, -114690?\nAnswer: -182269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000001001110111111 (base 2) in base 8?\nAnswer: 2011677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:45 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 + 5*p**2 - 6*p + 7. Let a(z) = 2*z**3 - 6*z**2 + 7*z - 8. Suppose 22 = 4*o - 150. Let h = 37 - o. Determine h*u(s) - 5*a(s).\nAnswer: 2*s**3 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3\/2, 2\/3495, -2?\nAnswer: 2\/3495","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, l: 2, d: 7}. Give prob of sequence lxdl.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10305 - 10302. Let c(d) = -41*d - 4. Let a(q) = -41*q - 3. Calculate u*c(x) - 4*a(x).\nAnswer: 41*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4)\/(18\/2304*16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**3 + 5*t**3 - 3*t**3)*(-3*t + t + 3*t) - 29*t**4 - 36*t**4 - 5*t**4 - 1 + 1 + 2*t**4 in the form y*t**2 + l*t**4 + z + u*t + v*t**3 and give l.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-385)\/(-14))*(-10)\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19 and -3115.\nAnswer: 59185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 7) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.25657 times -0.5\nAnswer: 0.128285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1127 and 4163?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1204*v - 378 = -1213*v. Let i(z) = -z**2 + 8*z + 4. Calculate the smallest common multiple of i(6) and v.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1268 and 8?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-135)*6\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*4\/12)\/2. Suppose 4*k - 3*p = 5*k - 85, i = 5*k - 3*p - 443. Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42000)\/(-54600) + 1150\/26.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*n + 3*g, 24*n + 4*g - 7 = 21*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1554 = -1491. Suppose -4*w - l - 2*l = -g, -3*w - l + 22 = 0. Calculate the greatest common divisor of 15 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4610312 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 102.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 5. Suppose -4*o = -k + 91 - 392, -t*k = -3*o + 247. Is (o\/(-4))\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2. Let k(q) = -4312877*q. Give n(k(j)).\nAnswer: 74403632068516*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 519 - 519.5. What is the second smallest value in 30, 0.5, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6077 is divided by 759.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1538701961 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 3 + sqrt(19) + 3)*2.\nAnswer: 12 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385285.\nAnswer: 5, 251, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 1 = -131. Suppose 120 = l*v - 16*v. Suppose s - v - 25 = 0. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 197566 - 855037.\nAnswer: -657471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/18 and (-57)\/418*26\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 21 = -3*r - 0*r, 11 = 3*d - r. Solve -d*a - 1 + 13 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 - 45*d + 220. Let m(s) = -3*s**2 + 30*s - 147. Let j(w) = -5*l(w) - 8*m(w). Is j(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157 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: In base 6, what is -40043 - 35001?\nAnswer: -115044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - 1. Suppose -d*q - l + 515 = 0, 5*q - 756 = -5*l + 524. What is q rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f - 1. Let r be c(-7). Suppose 0 = -2*t - r. Let k = 4 + t. Solve -4*b = -k + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -7*a + 2*a. Solve -5*r + 2 - a = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -18, 5, 32, -2, 42 in increasing order.\nAnswer: -18, -4, -2, 0, 5, 32, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 times 1338?\nAnswer: -113730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 + 86. Suppose -1211 = -l*q + 1043. List the prime factors of q.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -4)\/((-4)\/2). Suppose c = 2*y - 26 + 22. Suppose y*m = a - 6*a + 305, -61 = -a - 4*m. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 21*p + 7. Let z be l(21). Let d(i) = 12*i**2 - 3*i - 40. Let k be d(z). Let j = k - 371. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 19. What is y(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*g + 14 - 18. Let v = -126 - -1378\/11. Which is greater: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 4938, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**5 + 48*x**2 - 48*x**2 - 2*x**4 + 2 - 2 + 2*x**5 + (6*x**3 - x**3 - 4*x**3)*(4*x**2 + x**2 - 3*x**2) + 4*x**3 + 2*x**5 - 4*x**3.\nAnswer: 7*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 8*s - 33. Let g be k(-3). Let q = g + 75. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8174 and 536.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 0.5 (b) 2 (c) 57 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2450 + 2498 + (-5 - 45)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9903 + 9905. Determine s, given that 190*s**3 + 584\/5*s + 50*s**4 - 16 - 276*s**u = 0.\nAnswer: -5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)\/(l\/(l*l**(-1\/3)))*(l*l\/l**1*l)\/((((l\/(l*l\/(l\/(((l*l**(-1\/3))\/l)\/l))*l))\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**2 + 3031*s - 58002. Give i(21).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 83 = 63. Let j = 26 + -16. Let p = c + j. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13545 + -13537. Let s(g) = 79*g**3 - 2*g**2 - 3*g - 3. Let d be s(3). Is d - -3*b\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + (101 - 106).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 333, 329, 323, 315, 305, 293?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6256663)\/39445 + 157 + 16\/10 + (-3 - -3).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**2 + g + 3. What are the prime factors of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i**(-1)\/i)\/i*i*i)\/(i\/(i\/i**(-3\/23))) assuming i is positive.\nAnswer: i**(26\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5565000?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4857*l**3 + 2509*l + 10. Let i(m) = -4883*m**3 - 2510*m - 8. Let u(y) = -5*i(y) - 4*o(y). What is the second derivative of u(c) wrt c?\nAnswer: 29922*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9676.7 - -10184. What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240693521 to the nearest integer?\nAnswer: 15514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - w. Suppose -q - 3*z - 159 = -140, 0 = -z - 6. Let d(r) = 3*r**2 - 3*r + 26. Determine q*d(n) + 5*s(n).\nAnswer: 2*n**2 - 2*n - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401\/13 + 31. Let l = -25 - -22.7. Let v = l + -0.7. Which is the smallest value? (a) j (b) 4\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158117352 + 158117352 + 2*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u = -f - 22, 0 = 2*u + 4*f - 32. Let v = 29 + -21. Calculate the highest common divisor of u and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 5*b + b)*(3 + 2 - 4)*(-1 - 1 + 0)*(0*b**2 + 2*b**2 + b**2).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11074077923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3407235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/3)\/u)**(-3)*(u\/(u\/(u*u\/u**0)))**(-3\/2))**(-42) assuming u is positive.\nAnswer: u**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0861529 + 0.0861. What is j rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12721*b**3*j**3*m + 29*b**3*j**2 - 5*b**3*m - 221*b*j**3 with respect to m.\nAnswer: -12721*b**3*j**3 - 5*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3968 and 1.508?\nAnswer: -0.5983744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from hhjjhjbhjhhhhbjb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11102131 - -20330?\nAnswer: -11021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose -y*j - j + 75 = 0. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252299 = 5*p - 2*o, 0 = 5*p + 7*o - o - 252283. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28376\/33 + 860. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12 - 25 - 1 - z**3 - 13*z**2 + 10*z. Let l be q(-14). Calculate the remainder when 127 is divided by (-6)\/l*(-1 + -38).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:38 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2114*i + 2106*i. Sort -3, i, -109 in descending order.\nAnswer: i, -3, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*t**2 + 4*t + 9*t**2 - 4*t)*(-1667*t + t**2 + 2 + 1667*t).\nAnswer: -15*t**4 - 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-397247)\/(-2) - (-1)\/(-2). Let y be (-4283*1)\/(5\/95). Let v = y - q. Round v to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -385*y + 376*y - 99 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-4*r + 3*r + 10*r) + 0 + 0 + 2*r + 2.\nAnswer: -7*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18879974*m + 18879974*m + 20*m**3.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/30 - ((-3817)\/(-165))\/(-1). Let g(f) = 5 + x*f - 4 - 1 - 11*f. Let b(y) = y. What is b(g(l))?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3184 + 3191. Solve -2*s + 36 = 5*j + 13, 2*s + o = j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*s - 2*b**4 - 107*b**3*s**2 - 2*b**2 - 85*s**2 wrt b?\nAnswer: -24*b*s - 48*b - 642*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (15 - 1)) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5185 + 5187. Let h(b) be the first derivative of 5\/6*b**3 + 1\/8*b**4 + 2*b - 4 + 2*b**k. Factor h(l).\nAnswer: (l + 1)*(l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-216)\/20 - -12)*(2 - 7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 1.2 (c) -8 (d) -1384 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/8)\/(q\/(q*q**7*q)))**36 assuming q is positive.\nAnswer: q**(585\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14356 + -7.72844. Round p to 1 dp.\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -30*c**4 + 545*c**3 + 14340*c**2 + 61855*c - 10710 = 0.\nAnswer: -9, -7, 1\/6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 + 5*w**3 + w**3 - 4*w**3 + 3*w**3 + 3*w**3 + (-2*w**2 + 0*w**2 + 4*w**2)*(1 + w - 1) + 0*w + 0*w - w**3 + (-3*w**3 + 2*w**3 + 2*w**3)*(1 + 1 + 0).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = l + 3*z, -z = -3*l - 5. Let k = 1 + l. Let t be -5 - (-1 + -4 - 0\/23). Solve t = -k*b + 4*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15189 is divided by 112?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 2) + -1 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 625.2 and 0.5?\nAnswer: 624.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 8*v. Let s be 1*3*16\/6. Let j be r(s). Let q be (27\/(-6))\/((-6)\/16). Solve j = -2*n - 2*n + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651 - 327 - 266 - 186 + 3*j**3.\nAnswer: 3*j**3 - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50148270 and 2884635?\nAnswer: 651927510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102 + -2002?\nAnswer: -12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 180\/(-54)*(11\/(-5) + 1). Solve -2*o + g - 2 = -2*w, w - 2*o + 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**3 + 12*c**2 + 3*c + 5. Let z be m(-2). Suppose -j = 4*f - 1, -4*f = 2*j + 5 - z. Is 7\/20 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 7:10 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 - 2*m**2)*(-74*m + 19*m**2 + 74*m) - 2*m**4 - 3*m**4 + 2*m**4.\nAnswer: -41*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*120\/15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**4*y + 87*j**2*y + 7*j*y + 30*j wrt j?\nAnswer: 24*j**2*y + 174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + (-16)\/(-6))\/(14\/(-22197)).\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.325 + 0.075. Let j = -62.6 - t. Let o = j - -76.2. Which is the closest to -5? (a) o (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 8 - 4 + 3. Suppose -2*f + 29 = 29. What is u(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2764*k**4 + 6*k**3 - 10*k**2 + 15046616*k wrt k.\nAnswer: -33168*k**2 + 36*k - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 - -290. Let q(n) = -n**2 + 3*n - 5. Give q(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/13 - 1778*c**3\/13 - 17614*c**2\/13 - 29902*c\/13 - 14064\/13 = 0.\nAnswer: -879, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26801256 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 131350 and 65675?\nAnswer: 131350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w + 1. Let y be h(3). Suppose -m + y = m. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 19*c = 28. Let i(d) = 5*d**2 - 7*d - 2. Let f be i(c). What is the common denominator of -44\/9 and 3\/(-12)*f\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -1517.9\nAnswer: 607.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -127. What is the nearest to -2\/3 in -1\/7, 2\/61, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15505, 62179, 139979, 248905?\n\"Answer: 15563*b**2 - 15*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*d - 21*d = 24*d + 397860000. What is d rounded to the nearest one hundred thousand?\nAnswer: 39800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m + 18. Let k be v(-9). Let h = k + -59. Solve t = -3*x - 15, -t - h*x = -0*x + 20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**5\/24 - t**4\/12 + t**3\/3 + t. Let k(u) be the second derivative of a(u). Is 3 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*u**4 - 35 - 17*u**4 - 2*u + 22*u**4 wrt u.\nAnswer: 184*u**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-22)*3\/((-27)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 167*l**2 - 549*l + 35704. Determine g(169).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60262 by -30131.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 46*m**2 - 189*m + 347. Determine n(-50).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 237 and 6094929.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 12*y - 51. Determine t(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 5*j + 4. Let c be w(-5). Differentiate -5 - 2 - c + 2*q**3 + 4 with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5302 + -5300. Factor 0*l + 0 + 1\/2*l**4 + l**h + 3\/2*l**3.\nAnswer: l**2*(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1220\/3 or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1396\/9 - -155. Let o = -1942 - -1937. Put 3\/5, c, o, 0 in decreasing order.\nAnswer: 3\/5, 0, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 - 1 + 1 + 5*x**4 - 6614*x**3 + 0*x**4 + 6786*x**3 + (-x**2 - x**2 + 0*x**2)*(4 - 4 - 2*x**2).\nAnswer: 6*x**4 + 172*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -79. Let g be 1*((-56)\/10 - -5). Put 0, c, g in decreasing order.\nAnswer: c, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - -70. What is the greatest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 - 175\/4. Let h = -0.3 - -0.2. Let y = -33 - -30. Which is the nearest to 0? (a) y (b) i (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 2*p - 4. Suppose 0 = -5*z - 4*n - n + 30, 3*n - 23 = -4*z. Let l be d(z). Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/25)*c))\/(c*c*c**(1\/8)\/c)*(c*c**(-2\/23))**(-2\/85))**(-5) assuming c is positive.\nAnswer: c**(161599\/15640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*(-255)\/34.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 12*c**2 + 14*c - 10. Determine h(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 10:25 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16845.174 months in years?\nAnswer: 1403.7645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -72. Suppose 4*c - j - j - 28 = 0, -3*c + 5*j = -u. Let l(m) = -3*m + 5 + 2 + 0*m. What is l(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 1603224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 5*k - k)*(-3 + 3 - 1) - 44 + 44 + 26*k to the form z*k + w and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 6. Which is smaller: -8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s + 6*s - 2*s**2 + 0*s - 9*s + 21*s**4 - 1 to the form b + a*s**2 + q*s**4 + u*s + v*s**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.2 (c) 2504 (d) -0.5 (e) 0.002 (f) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9}. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 0*p**4 + 3*p**2 + 0*p + 1\/60*p**6 - 1\/30*p**5 + 0 + 0*p**3. What is the third derivative of j(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, 2\/15 in descending order.\nAnswer: 2, 1\/2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 - b**2 - b. Let p be o(-1). Suppose 0 = -2*z - 0*z - v + 1343, p*v = -z + 658. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/7, 0, 17, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1 - -4)\/2. Suppose 0*x = -z*x. Is 0 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11221 + -56107\/5. What is the nearest to z in -31, -11\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0.6. Sort b, 1, -0.1, -1 in decreasing order.\nAnswer: 1, -0.1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 3, a: 1, t: 1, q: 1}. What is prob of sequence tqom?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 16. Let b be 22\/(-3)*c\/(-4). Suppose -4*n = -15*n + b. Solve 2 - 3 = 5*m - n*f, -5 = 3*m + f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.060598481 rounded to five dps?\nAnswer: -0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 323850606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**4 + 235*q**3 + 969*q**2 + 864*q - 172.\nAnswer: -(q - 43)*(q + 2)**2*(6*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 340938*z**4 - z**2 + 340934*z**4 + z**3 to d + b*z**3 + a*z + y*z**4 + k*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2200*(-89)\/(-1068)*36\/66.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*v + 3*v**3 + 2637 - 50*v**2 - 5293 - 2*v**3 + 2656 to the form i + b*v + u*v**3 + d*v**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3813 less than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) 3 (c) -505\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74728.7 + 74729. Let c = -2.1 - -0.1. What is the third biggest value in c, 7\/4, -2\/19, t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 175, 172, 171, 172, 175, 180?\n\"Answer: f**2 - 6*f + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.043842 centuries in millennia?\nAnswer: 0.3043842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -55503433 (base 6) to base 9\nAnswer: -3128403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:17 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*j + 5*j, -2*j = -5*r + 336. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88813193 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000100001000101100011 (base 2) to base 16\nAnswer: -221163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136921953 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnx when three letters picked without replacement from {i: 4, c: 3, l: 6, n: 3, x: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 167713 (base 8) to base 12.\nAnswer: 2b637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -3*t**5\/20 + t**2\/2 + t. Let o be j(-2). What is the derivative of 4 - 20*s**4 + o*s**4 - 1 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 4*c - 3. Let p(w) = 3*w**2 - 13*w + 15. Let y(a) = -a**2 + a. Let v(u) = p(u) + 2*y(u). Let q be v(10). What is o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let p be q(1). Suppose 2*n + 2*n = y + 29, 0 = -p*n - y + 7. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 2 + 7)*(46*c + 20*c - 46*c) to the form k*c + l and give k.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 g, and 1 x when three letters picked without replacement from ggxvzex.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 6*n**2 + 2. Let y be x(6). Let h = -10 - -15. Solve h*t - 3 = -2*a, -4*t - y*a = -3*t - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4306.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -k + 69. Suppose -i = -5*x + k, -21 = 2*x - 3*x + i. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m - 4*m + 4*m)*(-4*m + 0*m + 5*m)*(-3*m + 4*m + m).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -138*x**3 + 17*x + 865*x**3 - 323*x wrt x?\nAnswer: 4362*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 44, 127, 292, 569, 988, 1579?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -510, -803, -1096, -1389?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 + i - 35. Let c(l) = -9*l**2 + 3*l - 64. Calculate 3*c(f) - 7*v(f).\nAnswer: 8*f**2 + 2*f + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -456 - 4.1917052\nAnswer: -460.1917052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 508.5244 kilograms?\nAnswer: 508524400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4360 + -4519.42. Let m = -157 - v. Round m to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/2 + 87*s**4 + 1316*s**3 - 2895*s**2 + 2983*s\/2 = 0.\nAnswer: -157, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 236717*z**2\/6 + z\/6.\nAnswer: z*(236717*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 29 = 21. Let l be 200*(2 + (-15)\/6). Let m = l + 180. Calculate the highest common factor of k and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 553 = 377 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a centimeter in millimeters?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 11?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 2. Let s be c(4). Let n(d) = d + 1. Let b(a) = -a**3 - 5*a**2 + a - 12. Let t(q) = -b(q) - 6*n(q). Does 12 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 0.56.\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/17, 2, -0.08, -19063?\nAnswer: -19063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2329.999998805 - 2330. What is b rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/7 + 3196*p\/7 + 1276802\/7.\nAnswer: 2*(p + 799)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/((-4)\/(-936)). Let r(i) = -i - 117 + q. Let x(d) = 6*d. Let n(b) = -5*r(b) - x(b). What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*n + 2*n + n)*(9 - 4 + 6 + 9).\nAnswer: 280*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*z + 9 = 2*s, 2*s + z = 2. What is the units digit of 464\/3 - (s + (-6)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1774*n + 22 - 48 + 24.\nAnswer: 1774*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23, -6\/5 in descending order.\nAnswer: 23, 1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -13886, -27802, -41718?\n\"Answer: -13916*v + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38284, 38363, 38442, 38521, 38600?\n\"Answer: 79*q + 38205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000611 rounded to 7 decimal places?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352 is divided by 82?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 855 divided by 15602?\nAnswer: 855\/15602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 - 3*s**3\/2 + 2*s**2 + 20*s - 2. Let j(p) = 3*p**2 - 27*p + 11. Let y(r) = -8*c(r) + 3*j(r). What is y(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -ad?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-4 + sqrt(108) + 1 - sqrt(108))*2*6 - ((sqrt(108)*2*-3 - (4 + -2*sqrt(108) + sqrt(108))) + 1))**2 + -3).\nAnswer: -7572 + 3960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*((-938)\/(-70) - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 4)*(2*y - 4*y + 0*y)*((0*y + 0*y - y)*(0 + 1 + 1) - 2*y - 2*y + 11*y) in the form i*y**2 + v*y + a and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.28 or 15814\/7?\nAnswer: 15814\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7811896234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 214 = -10*o + 4*j, -4*o - 5*j = 164. Let r = o + 54. What is the nearest to -2 in 1\/2, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-2948)\/(-8)*-2*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34681746 divided by 341?\nAnswer: 101706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8001727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f*i*s + 19*f*s**2 + 2*f*s - i*s**2 + 6*s wrt s?\nAnswer: 38*f - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001010111111 + 10?\nAnswer: -1101001010111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.5 (c) 3.3293 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.882 and -0.0276528451.\nAnswer: -12.9096528451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -39. Suppose i*v - 25 = 5. Suppose -4*o = 2*b + v, 4 = -b + 5*o + 27. Solve -23 = -4*k - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 109. Let f(d) = 3*d**2 - 42*d. Determine f(h(w)).\nAnswer: 3*w**2 - 612*w + 31065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*t = 15, -3*p - 14*t = -12*t - 36. What is the lowest common multiple of 6 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.26413 decades to millennia.\nAnswer: 0.2026413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -10*o. Suppose 13*u - 11*u - 4 = o. Solve 7*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44334378 divided by 671733.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -12, -5, -1 in ascending order.\nAnswer: -12, -5, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 46*s**2 - 394*s - 83. Let g be q(54). Calculate the highest common factor of 44 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 292*g - 297*g - 4*t, -31 = -5*g - 3*t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 31 = 3*a, -4*a - z + 3 = -0*z. Suppose -79 = -g - 2*x, -a*g - 3*x = -0*x - 161. Let l = g - 35. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzzkzgke. What is prob of sequence ezg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1421 and 871269?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/7)*w*w*w*w*w*w\/w**(-3)*w*w assuming w is positive.\nAnswer: w**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2259.523 millimeters to nanometers.\nAnswer: 2259523000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -2 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -982*y + 195. Let q(w) = 35*w + 1. Let c(g) = 5*m(g) + 35*q(g). What is the derivative of c(p) wrt p?\nAnswer: -3685","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/7))**27)**(19\/2) assuming l is positive.\nAnswer: l**(-513\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**3 - 2*s**3 - s**3)*(-23669 - 9129 - 6431 - 59119 + 14444 - 17436) in the form a*s**2 + n*s**3 + f + c*s and give n.\nAnswer: 101340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 353.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u. Let d(f) = 5821666*f. Give d(b(l)).\nAnswer: 23286664*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -f - 3*p - 15, -4*f = -4*p - 20. Suppose f = -0*j + 3*j - 3*k - 372, -233 = -2*j + 5*k. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*h = -h + 4, 0 = -j - 4*h. Let x = 28 + j. Calculate the remainder when 20 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 1, k: 1, j: 3, y: 1, m: 5}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 2*u + 4. Let n(x) = -7*x**2 + 4*x + 7. Suppose -2*r = -4*m - 6, 35*m - 31*m - 6 = -2*r. Suppose -3 = d + 2. Calculate d*y(k) + r*n(k).\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 135.\nAnswer: 92\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -239*a**3\/6 + 108*a**2 + 4*a + 2. Differentiate r(h) with respect to h.\nAnswer: -239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21384911, -21384922, -21384939, -21384962, -21384991, -21385026, -21385067?\n\"Answer: -3*t**2 - 2*t - 21384906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -0.02, -3\/8, -0.2, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 5 = 0. Let p = -122 - -123. Let a = x - p. Solve a = 4*k + 16, -3*u = -k - 1 + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946 divided by -1?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/p**(1\/4)*p))**(2\/77))**(-1\/17)\/((p**2\/p)\/(p*p\/p**(-3\/5)))**(12\/11) assuming p is positive.\nAnswer: p**(22843\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 146 + 39. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (347\/6)\/(5\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 20*r + 1. Let m(q) = -9*q**2 + 100*q + 5. Let n(t) = -m(t) + 5*w(t). Let k(y) = 2*y - 313. Determine n(k(j)).\nAnswer: -4*j**2 + 1252*j - 97969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5616, -11232, -16848?\n\"Answer: -5616*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 31. Factor -5*d**2 + 0*d**2 + 3961*d + 49 - 4016*d + a.\nAnswer: -5*(d - 1)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = c - 0, -2*c = 5*m + 4. Suppose 0 = -z + 1 + 1. Suppose -c*v = z*v - 35. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Suppose -v*h + 18 = -2*q - 6, -30 = -5*h + 2*q. What is the least common multiple of h and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 + 6. Let t(n) = -3*n**2 + 3. Give 4*l(y) - 9*t(y).\nAnswer: 3*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.40248 centuries to decades.\nAnswer: 824.0248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x = -8. Suppose 6 = 5*w - x*w. Solve 0 = f + w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20337 - 4400. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:24 AM?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*g - 267 = 0, 0*m = -2*m + 5*g + 131. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = 2*q + 6*q + 360 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 8*g - 7. Let d be c(-6). Let y be 2\/4 + 7\/(-2). Let i = -59 + 235\/4. What is the closest to -1 in d, y, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/5 and 13\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 472336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-84)*-3)\/(4\/(-40)*6450\/60)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Which is the third biggest value? (a) t (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a - 2*a)*(-3*a + 2*a - a) + 13 - 13 - 3*a**2 + (3*a + 0*a - a)*(-3*a + 6*a - 2*a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1804 and -13.\nAnswer: 23452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3080552704.\nAnswer: 2, 61, 197269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (33 - (100 - 50)) + -31\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -30343096 and 444057.\nAnswer: -29899039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 547882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/21 + (-249975)\/315. Let j = -546 + 209. Let h = j - v. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*w - 1. Let b = w + 6. Suppose -4*v = -2*v - 3*m + 17, 0 = -3*v - b*m + 7. Which is smaller: v or 1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.02, -7, -1\/3, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 217, 350, 521, 742, 1025?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -109, -214, -339, -472?\n\"Answer: 2*a**3 - 28*a**2 - 3*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 980*h + 361. Is x(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 34*i**2 + 11*i + 7. Let j(m) = 21*m**2 + 8*m + 5. Let w(u) = -7*j(u) + 5*l(u). Let f(o) be the first derivative of o**3\/3 - 9. Determine w(f(z)).\nAnswer: 23*z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let z(j) = 10*j - 3. Determine 18*w(k) - 2*z(k).\nAnswer: -2*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-30) + (-8 - 34888\/(-4260)). Let h = z + 1625\/142. Find the common denominator of 107\/76 and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2*j + j)*(-5 + 3 - 6)*(-33 + 26*j**3 + 33) to x*j + l + v*j**4 + f*j**2 + m*j**3 and give v.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.6 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -14. Find the third derivative of -a - 2*j**5 + 3*j**2 + 1 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 539418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.7 - -33. Let v = 0.7 + o. Put 2, v, -3 in decreasing order.\nAnswer: 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5592*u - 15. Let m be i(-3). Suppose -m = -13*c + 4520. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 17*f**4\/3 - 12463*f**3\/3 - 320276*f**2\/3 - 271412*f\/3 + 12128 = 0. Calculate f.\nAnswer: -24, -1, 2\/17, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 73.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 4:36 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -11, -2, 4 in descending order.\nAnswer: 9, 4, 2, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d = -776. Suppose -5*y + 206 = -d. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4563\/216085 - 7\/1879. Let r(d) be the first derivative of -x*d**5 + 0*d**2 + 11 + 1\/46*d**4 + 0*d + 2\/69*d**3 - 1\/69*d**6. Factor r(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 - 85 - 5*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by (-22)\/66 - 10\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*l - 3*l + 28*l**2 + l as j + s*l**2 + u*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 16*g. Let i(a) = -95*a. Calculate i(z(k)).\nAnswer: 285*k**2 + 1520*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/340 and 7\/272?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88972 is divided by 1744.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*o = -830*o + 3*v + 12, -21*o + 67 = 4*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1645 and 8454971.\nAnswer: 42274855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 519, -2 in descending order.\nAnswer: 519, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47616 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -733426836 divided by -4?\nAnswer: 183356709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.7. What is the closest to 0.1 in p, -11, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)\/a)\/a**(-5))**33 assuming a is positive.\nAnswer: a**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17132 - 0.02868. Let g = 7 + -6.7. Which is the closest to 0.1? (a) -5 (b) h (c) g (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d**3 - 2005*d**2 - 33*d**3 - 33*d**3 - 3*d + 102*d**3.\nAnswer: -2*d**3 - 2005*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 3*n**3 + 2*n**3)*(1 - 3 + 1)*(14 - 14 - 57*n).\nAnswer: 114*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/795 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-44)\/16 + 2\/(-8). Let b = m - -17. Let u(s) = s + 19. Calculate the remainder when b is divided by u(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 626 + -566. What is the greatest common divisor of m and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30289848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.99297 rounded to three dps?\nAnswer: -1.993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12740 + 12726 = 4*v - 2*o, -2*v = -3*o + 41 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 - 1. Let u(c) = 3*c**2 - 111*c + 3. Let n be u(37). Let g(v) = -3 + v - 5*v**2 - v**3 - v + 9*v**2. Give n*m(j) - g(j).\nAnswer: -2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0 - 2) + (-2 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2207*v**2 + 7278.\nAnswer: 4414*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2005322 (base 7) to base 13.\nAnswer: -83c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m**2 - 9. Let d be t(-2). Suppose d*l - 26 - 9 = 0. Solve 3*h + 18 = 3*s, -5*h - l = 3*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-22))**(-4\/5)\/(((h\/h**(-1\/4)*h)\/h)\/h*h)**43 assuming h is positive.\nAnswer: h**(-1443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 22 = -37 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-732)\/(-180) + 2\/(-30). Suppose -h - 4 = 0, 62*i - 64*i - m*h - 12 = 0. What is the highest common factor of i and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2)*(-7 - 2 + 2) + (1 - 1 - 2*a)*(-2 + 2 + 5).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**3 - 6*v**2 + 5*v - 3. Let k(l) = 11*l**3 - 16*l**2 + 14*l - 8. Determine 8*d(i) - 3*k(i).\nAnswer: -i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 692?\nAnswer: -688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -92063, -16 in decreasing order.\nAnswer: 6, -16, -92063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 34 = 12*a - 35, s + 38 = 5*a. Let y(v) = -7*v**2 - 3*v + 1. Let z(j) = j**2. Let p(u) = y(u) + 6*z(u). What is p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/255 - -16061\/510. Let t = k - 667\/20. Find the common denominator of 49\/78 and t.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 t, and 1 l when four letters picked without replacement from {t: 3, l: 1, j: 4, v: 2, o: 6, u: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13190 + 13305. What is the remainder when 918 is divided by g?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 376.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 3. Let j be h(4). Let t = j + 4. Suppose 4*q = -5*p + 24, -2*p - 404*q = -407*q - 5. Is p equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 + 31985*t**3 - 383953*t**2 + 351967*t.\nAnswer: t*(t - 11)*(t - 1)*(t + 31997)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16044853 and -12.\nAnswer: -192538236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c + 87 - 12 = 0. What is the units digit of c\/2*6*-13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3 + -6 + -6 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7239 - -7218. Let a be 0 + (-1)\/((-3)\/6). Sort 1, 0, a, y in increasing order.\nAnswer: y, 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 + 425564865*z - 425564865*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35710039991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1542291*q. Let u(d) = -d**2. What is u(a(s))?\nAnswer: -2378661528681*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 3*k + 2. Let b be v(2). Suppose 1 = 3*p + b, 38 = 3*y - 2*p. Suppose 450 = 17*l - y*l. Does 30 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/21)\/z**(-2\/15))**(-3\/7) assuming z is positive.\nAnswer: z**(-24\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 55098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1.9, -2.1, 3\/14, -1, -0.5, 0?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -2 - (-1 - -1). What is the common denominator of t\/7 + 3992\/(-112) and -51\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -206, -3, 4, -7, 0 in increasing order.\nAnswer: -206, -7, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-23\/3)\/(q*q\/(q\/(q*q**(-1\/2)))*q)**(-48) assuming q is positive.\nAnswer: q**(314\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110760 by -8.\nAnswer: 13845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -15*q. Suppose 2 = -4*p + 18. Solve 0 = -q*z + p*z + 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -5, -2, -80, -1.\nAnswer: -80, -5, -2, -1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2569, -5099, -7603, -10069, -12485?\n\"Answer: 2*r**3 + r**2 - 2547*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -451, -417, -325, -145, 153?\n\"Answer: 5*v**3 - v**2 + 2*v - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) -2 (b) -0.3 (c) 2 (d) 0.1 (e) 0.0109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 13 + -4 - -2) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 108 + 25 = 67 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 70 = -7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let c = -112 + 106. Let p = c - -3. Sort -2\/3, p, z in descending order.\nAnswer: z, -2\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.94 - -20. Let a = 22 + -21.56. Let n = a + z. What is the closest to -2\/5 in 0.2, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 212\/7. Let r be (-2)\/4*7 - -1. Which is the third biggest value? (a) r (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3 and -0.13880816813036.\nAnswer: 0.16119183186964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.14 + 0.14. Let r = -3 - -13\/4. Which is the second smallest value? (a) -3 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**9)\/(i\/(i\/(i\/((i*i\/(i**(-2\/47)\/i))\/i)))))\/(i\/(i\/(i\/i**(-6\/7))*i)*i**(18\/7)\/i) assuming i is positive.\nAnswer: i**(-3088\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4170 + 4175. Let o be (-3*16\/(-6))\/1. Suppose 3*m - o = 7*m. What is the smallest value in u, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (28 - (36 - 14)) - 2\/10\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Let l = 0 + u. Put 3, -4, l in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1838*v**2 - 1424*v**2 + 488*v**2 to i*v**2 + z*v + k and give i.\nAnswer: -2774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 46. Let j be w(-15). Solve 10*m = 6*m - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/5 - (-352)\/(-80). Let o = f - -25. Let u = o + -20. Let v(c) = -c**3 - c + 6. Give v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s - 4215 + 10801 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1367 and 80962237594.7.\nAnswer: 80962238961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5376.214 minutes?\nAnswer: 322572840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/210)\/((8970\/(-25))\/13)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -319205.\nAnswer: -95761.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 - 3*h**3 + (7*h - 2*h - 4*h)*(3*h + 4*h + 2*h + 2*h**2) to c*h + x + u*h**3 + o*h**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 5:15 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*o + 12, -13 = 9*o - 6*o - 4*q. Let g = 2 + -8. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**3 - 17*l**2 - 175*l + 191. Give j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1669780 divided by 140\nAnswer: 11927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**3\/2 + x**2\/2 - 3*x. Let j = -6 - -5. Determine b(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i**(-4\/7))\/i)*i))\/i**8*i\/i**(-20\/7)*(i*i*i*((i*((i*i\/(i*((i\/(i**23*i))\/i)\/i*i))\/i)\/i)\/i)\/i*i)\/i assuming i is positive.\nAnswer: i**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*f + f = 9499 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*t = -98, 5*d = 12*t - 11*t + 215. Calculate the least common multiple of 36 and d.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*q - 15. Is q at least as big as 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/75761 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2229, 4404, 6481, 8412, 10149?\nAnswer: 11644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 165495064.\nAnswer: 3\/165495064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11) + -2*sqrt(11)) - (sqrt(272) - 3*sqrt(272)))*-5.\nAnswer: -35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -85\/7 (c) -1.1 (d) -1\/4 (e) 0.1 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 8. Let r = k - 4. Suppose 32 = 6*y - 64. Solve y = -2*b - r*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -50012?\nAnswer: -50003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 14*u**2 + 16*u - 34. Calculate s(15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 3*p - p)*(55*p - 26*p + 90*p) as z + o*p**2 + d*p and give o.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/2453 + 90740\/17171. Let c = -36\/7 + m. What is the smallest value in -1, 2\/7, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1832978 is divided by 1832835.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -3. What is the tens digit of (5\/3)\/(4\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 9.041178?\nAnswer: 8.641178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 235*u - 213. Is 4 a factor of b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*a - 325, -3*a + 40 - 117 = -h. Let u = h + -59. Calculate the greatest common divisor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + (2 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - w + 10, -25 = -5*c - 3*w. Let q(i) = -4*i + 2. Let r be q(c). Let p(y) = -8*y - 8. Let s(u) = 7*u + 7. What is r*s(x) - 5*p(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 171701 + -29177.\nAnswer: 142524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 73983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 3. Let n be y(-3). Let m be (6\/(-4))\/((-6)\/56). Suppose -23 = -n*o - d, o = -d - 7 + m. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:53 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-2 + 18\/2. Let h(q) = q**3 - 7*q**2 + 6. What is the smallest common multiple of h(c) and (-4)\/3*(-33)\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4051*t - 2549 + 264144 = 2331 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -7, 1.8, 4\/7, -2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 22802.\nAnswer: 45604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -1355147.9.\nAnswer: 406544.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cupdmdpe. What is prob of sequence pdeu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b (base 12) to base 8.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16562 + -16561. Is -45\/233 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17110 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*a**2*k**3 - 2*a**2*k**2 - 23*a**2*k + 192*a**2 + 1444*k**2 wrt k.\nAnswer: -66*a**2*k - 4*a**2 + 2888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 781a (base 12) to base 9.\nAnswer: 20174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-2)\/(-5))*(-8)\/16. What is the second smallest value in 0, 0.2, -19, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1767120*a*z**3 + a*z**2 - 2*a*z + 2*z**3 + 150311*z wrt z?\nAnswer: 10602720*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 131. Let g(r) = -8*r**2 - 7*r - 6. Let y(d) = -7*d**2 - 6*d - 5. What is u*g(q) - 7*y(q)?\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -2558, -4955, -7352?\nAnswer: -9749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1768)\/(-143) + -19 - -1*7.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44 and 240145748.63?\nAnswer: 240145792.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 220. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 - -15.636?\nAnswer: 17.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k**2 + 5*k. Let b(l) = 9*l**2 + 4*l. Let i(v) = 4*b(v) - 3*c(v). What is the remainder when 18 is divided by i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 6)*(k + 4*k - 2*k) + (2*k + 2*k + k)*(24 - 4 + 4).\nAnswer: 114*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1294.\nAnswer: 5\/1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 643 or 4506\/7?\nAnswer: 4506\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -8*x + 33. Suppose -x*y + 0*y = -135. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-13 - -12) - -17\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9230804.388 rounded to the nearest one hundred thousand?\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**3 - i**2 + i - 1. Let k be d(1). Suppose 283 = 16*w - 357. Suppose 0*a - 20*a = -w. Solve k*x + 8 = 2*b, 3*b + 0*b + a*x = 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from {o: 5, f: 5, u: 4, t: 1, l: 3}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -675796800 rounded to the nearest one million?\nAnswer: -676000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)\/(p*p*p**5))\/((p**1*p)\/p*p**1))\/(p\/(p\/(p\/(p**0\/p*p)))*p*p\/(p*p**(-2\/23))*p)**(-25\/2) assuming p is positive.\nAnswer: p**(646\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*y + 4 = 0, -3*r = -y + 4*y. What is the remainder when ((-46)\/(-6))\/(r\/(-12)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) -0.4 (b) -3\/2 (c) 0.1 (d) 114.4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 0*n = -14*r + 4*n - 143, 0 = -4*n - 0 - 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*d**2*k - 1163105*d**2 + 178*d*k - 11*d + 104*k wrt k.\nAnswer: -42*d**2 + 178*d + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 2946*x + 723243.\nAnswer: 3*(x - 491)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-10) + 7\/2. Let i(t) = t**3 - 4*t**2 + t - 4. Let q be i(b). What is the remainder when (-259)\/(-35) + 4\/q is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (4 - (3 - (1 - -1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51360 and -0.0837.\nAnswer: -4298.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -0.4, -2, 14\/19 in ascending order.\nAnswer: -5, -2, -0.4, 14\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 8757, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d4 (base 16) in base 10?\nAnswer: -2516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5577562t to micrograms.\nAnswer: 557756200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (96426\/264)\/((-1)\/24)?\nAnswer: 2, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 6 = 8*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 52\/3, -217, -2 in descending order.\nAnswer: 52\/3, -2, -24, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 207764428?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**2 + 139759*h + 30*h**2 - 139761*h - 59*h**2.\nAnswer: 6*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13349181613 take away 1.2?\nAnswer: 13349181611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -9.6165 (c) 12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-1 + (9 - 3) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 10:32 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/4, 0.3, -1\/24, -4, 2\/13, -94?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 0, 460, 4, 2, -1 in descending order.\nAnswer: 460, 20, 4, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67802*v**3 + 16969*v**3 + 16958*v**3 + 16942*v**3 + 16965*v**3.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 26. Let z = 12.2 - g. Which is the closest to 0.2? (a) 1 (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:22 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 135177*b*w**4 + 111319*b wrt w?\nAnswer: 540708*b*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 - -259. Let f = 2 - -4. Let p(s) = -3*s + 12*s + 2 - f*s. Calculate p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*n - 96 = -341*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42436 or -42443?\nAnswer: -42436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49483.\nAnswer: 7, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79887502 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12751242 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 8*x**2 - 11*x + 7. Let y be v(5). Suppose -k = -2*k + 2. Let p(c) = -c**k + 2*c**y - 2*c**2. Let h(z) = 2*z**2. Determine h(p(t)).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -16. Let d(s) = -92*s + 11. Let c be d(y). Let j = -226 + c. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r + 126 = 20*r. Calculate the greatest common factor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -198*h**2 + 7*h + 10. Let b(y) = -199*y**2 + 8*y + 10. Let t(r) = 5*b(r) - 6*o(r). Is t(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125659 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-6*(sqrt(2057) + -1) + -3) + (-2*((sqrt(2057) - (sqrt(2057) + sqrt(2057) + 0))*-1 + sqrt(2057))*3)**2)*5.\nAnswer: -1650*sqrt(17) + 1481115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35423039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkdkk. What is prob of sequence zd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 2245511108.\nAnswer: 2245511106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5531 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 5*u**2 - u + 6. Determine h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-25 - -16 - 4) + 34).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-204)\/32 + 12\/32. Let y = f + 12. What is the second derivative of -10*o**5 + 4*o - 2*o - 9*o - y*o wrt o?\nAnswer: -200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b**4 - 193*b**3 + 2 + 193*b**3 wrt b.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwft. What is prob of sequence ft?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4214 (base 5) in base 14?\nAnswer: -2bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -6. Suppose -4*c = m*b - 268, c - 2*b + 0*b - 52 = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -752*f**3 + 5984*f - 456 - 2986*f - 3000*f wrt f.\nAnswer: -4512*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 plus -5041332.6?\nAnswer: -5041325.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-9)\/(-3) - -4. Let s be o\/(26\/8 - 3). Suppose 5*l + s = 9. Which is bigger: -1\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3 - 17*q**3 - 4*q**2 - 2*q**2 + 5*q + 7*q**2 - 3*q**2. Is s(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -2*p**3\/3 + 27*p**2\/2 + 8*p + 7. Let v be -1 - -1 - -1 - 1. Is 6 a factor of r(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 194 * -0.832\nAnswer: -161.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0111968 and -0.45083526?\nAnswer: 0.43963846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 4*a**2 + 2*a. Let q be i(2). Suppose 5*y - 162 = -q*o + o, 3*y - o = 86. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77004 - 572?\nAnswer: -77576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37606831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1121*k - 5 = -1116*k, 0 = n - 4*k + 2. Find w such that 0 - 4\/9*w - 14\/9*w**3 + n*w**2 = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260541610?\nAnswer: 2, 5, 7, 109, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30776457 divided by 2.\nAnswer: -30776457\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1386 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i. Let x be z(-1). Suppose -x = 2*s - 10. What is the smallest common multiple of 3 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*sqrt(144) + sqrt(144))\/sqrt(2))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.104 + -17. Let s = r + -0.165. Let v = s + -0.039. Is v at most 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.58805 - 470.43195. Let x = o + 471. Which is greater: x or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358057 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512427 (base 8) to base 5.\nAnswer: 20403424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 85.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from vqqrs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.008 + -0.008. Which is smaller: -4\/11 or p?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 8, 4.9, -664, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85436?\nAnswer: 2, 13, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -277 - -55?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + 27*j**2 - 101*j - 85. What is b(8)?\nAnswer: 1859","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 54 + 0 + 1 + (-60 + -6 - -60)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2066401 and -0.5?\nAnswer: 1033200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4796, -8969, -13138, -17309, -21488?\n\"Answer: -v**3 + 8*v**2 - 4190*v - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129469.\nAnswer: 129469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 2*z**2 - 14*z**2 - 5*z**2 + 2*z**2.\nAnswer: z**3 - 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.531323 seconds to minutes.\nAnswer: 0.47552205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5\/2, 826865 in descending order.\nAnswer: 826865, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14022?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1022480 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2\/3 - 14986*p\/3 - 2518424\/3 = 0.\nAnswer: -7321, -172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 3*b**2 + 11*b + 21. Suppose 5*w + 5*s - 30 = 0, w - 3*s = 1 - 7. Suppose -m + 2*i = 6, w*i = 4*m + 37 - 13. What is the units digit of t(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.539+10130803\nAnswer: 10130802.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14140 + 204304?\nAnswer: 140114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + (-16 - -9) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13844 + 13849. Which is the closest to -2? (a) 380 (b) -3 (c) 0 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*d - 123*d + 174*d**2 - 306 + 61*d wrt d?\nAnswer: 348*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 971\/117 - 105\/13. Which is the closest to 0.3? (a) 0.4 (b) q (c) 1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - 4)\/(-5) - (2 - 7864) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7656, 7624, 7524, 7326, 7000, 6516?\n\"Answer: -5*m**3 - 4*m**2 + 15*m + 7650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18700 and 7055?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(117) - (sqrt(117) + -4*(-1 + sqrt(117)) + sqrt(117))) + sqrt(117))*2*-2 + 0)**2.\nAnswer: -55296*sqrt(13) + 1087488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392213810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 12:55 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3)\/x)**(-48)\/(x*x*x**(-1))**(-11) assuming x is positive.\nAnswer: x**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62745 - 20798 + 13*h - 20976 - 20972.\nAnswer: 13*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (28 - 71) + 36.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 20039932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 5*f**4\/3 + 2*f**3\/3 + 21*f - 3. Let x(z) = 0. Calculate z.\nAnswer: -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.20307 to 3 dps.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 + 0*k + 0*k - 22*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(189\/12))\/(30\/(-35))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7979421936 to the power of 1\/2, to the nearest integer?\nAnswer: 89328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o + 5*d - 0, 7 = o - 5*d. Let i = 8 - o. Suppose -9521 = -i*v + 12217. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Let y = 25769 - 283457\/11. What is the biggest value in d, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*q - 1988112*i**3 - i**2 - 11*i*q + 7*i - 665*q wrt i?\nAnswer: 12*q - 11928672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(5\/2)*o)\/o)\/o*o)\/(o**(-7\/2)*o)*o\/o**0*o*o**(-2) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v + 280 = 8*v. Calculate the remainder when 5\/v + (-651)\/(-24) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 13 + 23 = 0. Suppose 0*m - 2*m - 108 = 0. Let g = 83 + m. What is the remainder when g is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/1499, -3, 68 in decreasing order.\nAnswer: 68, -3\/1499, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, i: 1, o: 1, u: 7, k: 5}. What is prob of sequence pko?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(b**2 - 2*b**2 + 5*b**2)*(b**2 - 5*b**2 - 5*b**2).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 6651744?\nAnswer: 26606976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(6)*3))\/((sqrt(132)\/sqrt(6))\/sqrt(11)) - (-4 + (1 + sqrt(1008) + 2 - (sqrt(1008) - (sqrt(1008) + sqrt(1008)*-2*-2)))**2).\nAnswer: -25205 - 1079*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.480865 and 0.4.\nAnswer: -0.192346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -435 and -0.4.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 4:13 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-31)*(w*w**0)**(-1\/81) assuming w is positive.\nAnswer: w**(2510\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.08, 0.1041?\nAnswer: 0.1041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (1218\/(-9) - (-322)\/42) - (-10)\/6?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988698.\nAnswer: 2, 3, 367, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5) + 2 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 + 2 - (5 - 1)) + 1 + 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.72 minus 3314449607?\nAnswer: -3314449616.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x + 2. What is c(6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*w - 3*w = -196, -2*u - 4*w + 152 = 0. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 k when four letters picked without replacement from {e: 7, k: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25091.99 litres in millilitres?\nAnswer: 25091990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1335 divided by 673.\nAnswer: 1335\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*a + 2*h, -4*h = 5*a - 6*h - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -cdc4b (base 15) to base 8\nAnswer: -2375502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2 - 3505*o - 3104. What is l(207)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19340648653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3\/19476443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1897618106 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1160.9258 + 1160. Round q to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -0.3 (c) -7 (d) 2.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-684)\/1656*18\/(-57)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/3 - 216438934*u\/3 + 72146311.\nAnswer: (u - 216438933)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 2)*(3 - 3*t**2 + t**2 - 24*t - 2*t - 12*t**2) to the form d*t**2 + m*t + g and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 + 2*r - 2*r)*(-8*r + 122*r + 27*r) + 6*r**2 + 2*r**3 - 6*r**2 as t*r + v + d*r**2 + z*r**3 and give z.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**2 + 304*l - 610*l + 305*l)*(3 + 0 + 0)*(4 - 2*l - 4) + l**3 + 3*l**3 - 7*l**3 - 4*l**3 + l**3 + 2*l**3.\nAnswer: 50*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13. Are n and 0 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3956)\/(-18) + (-4)\/(-18). Let r(w) = -3*w - 16. Let u be r(-7). Suppose 5*x = u*f - z, -3*x + 65 = 2*f - 8. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 222.66082 + 0.03918. Let z = 15.7 - g. Let k = -207.000166 - z. Round k to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - 0*f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5*(sqrt(11) + -2 + sqrt(11)))**2 + sqrt(11)) + -3.\nAnswer: -398*sqrt(11) + 2397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1692554\/255)\/(-67) - -99?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 8. Let a = 38714 + -38663. What is the remainder when a is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-207)*(-14 - (-2431)\/170).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5\/3 + 19495*t**4\/3 - 657050*t**3\/3 = 0?\nAnswer: 0, 34, 3865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-402)\/3082*-1587*((-8)\/14)\/((-27)\/21)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8*(-8)\/(-2). Sort 3, 5, k in increasing order.\nAnswer: k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-329)\/(-141)*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = 0, 40 = 3*k + 4*r - 48. Solve 5*p = -4*t + 2 - 1, 0 = 5*t - 4*p - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91+266\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139391019 - 21*j + 139391019.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64685310?\nAnswer: 2, 3, 5, 19, 283, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*i**3*j**3 - 9*i**3 - 26*i*j**4 - 5*i*j**2 wrt j?\nAnswer: 60*i**3 - 624*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 437, 421, 401, 377?\n\"Answer: -2*b**2 - 10*b + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000311464676 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -5169?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -158. Suppose 35 - m = -5*q. Calculate the remainder when (104\/6)\/(-2)*-9 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*b - 2038283 = -2038279, -2*s + b - 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -60.7. Let f = 0.8 - -2.2. Let h = f + t. What is the nearest to -1 in 1, 3\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -49. Suppose 3*x + 2*d + 3*d - 40 = 0, 4*x - 3*d = n. Suppose 0*c = 2*c - x. Solve -14 = 2*f - f + c*s, 6 = -f - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -15*v**5 - 838*v**4 - 3773*v**3 - 2542*v**2 + 408*v = 0.\nAnswer: -51, -4, -1, 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r - 7*r + r)*(0*r**3 + 5*r**3 - 3*r**3) + 0*r**4 + 2*r**4 - 3*r**4)*(-21 + 15 - 16 - 60).\nAnswer: 1230*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9174743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 4 + -13 + -385 + 385.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 22. Suppose -2*m - t*m = -4*r + 24, m + 2 = -r. Let q be 465\/3 - r\/(-2). What is the highest common divisor of q and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from {k: 4, r: 11, n: 3}.\nAnswer: 55\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 16*o**2 + 23*o - 33. Calculate y(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.148501054 + -0.14847. Round t to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74577?\nAnswer: 3, 24859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**4 - 2*o**3 - 10626*o**2 - 2*o - 89253 wrt o?\nAnswer: -4*o**3 - 6*o**2 - 21252*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -3. Let q = -105 + 106. Which is the nearest to -1\/4? (a) s (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 - -271. Calculate the lowest common multiple of 110 and k.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 0\/(-1 - -4). Suppose 3*d = a*g - 5*g + 6, 14 = -5*g + 3*d. Let t be (g + 6)\/((-1)\/(-2)). Solve -t = c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178929419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 749*y + 108398. What is g(196)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 54*y - 9*y - 10*y - 20*y - 13*y + 6*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 95*p + 21. Let b be f(14). Let y = -889 - b. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -1*sqrt(204)*1)\/(sqrt(192)*2 - sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2\/6 - 649004*f\/3 + 210603096008\/3 = 0.\nAnswer: 649004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 26*t - 10. Let y(x) = x**2 - 13*x + 5. Let i(s) = -3*v(s) - 5*y(s). List the prime factors of i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/451059 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 319424, 638116, 956806, 1275494?\n\"Answer: -a**2 + 318695*a + 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -3, -4\/11, 65, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (6 + 0) - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12016359.4 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 0 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 55832.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16ad (base 15) to base 12\nAnswer: -29b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/4)\/4 + 3. Suppose -r = 4*a - 6, 2*r + 2*a = 3*a + 39. What is the remainder when i + (-4)\/((-8)\/98) is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 - 4*i. Let t be u(-7). What are the prime factors of 2\/(-8) - t\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q + 4*q + q)*(-3*q**2 + q**3 + 3*q**2) + (-q + 2*q - 3*q)*(-q**2 + q**2 - 2*q**3).\nAnswer: 15*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -60. Suppose 5*v - c*v = -121. Suppose 0 = -v*o + 12*o - 87. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147474 less than 147470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 107 = 63. Solve -10 = 2*p - z, -6*z + y*z - 32 = 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65076469\/2880 - 22596. Find the common denominator of m and 11\/14.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 3:13 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**2\/2 - 4*u + 4. Let x(f) = -2. Give 2*p(y) - 3*x(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z = 126009 - 127489 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/27 - 2\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**2 - 1)*(3420 - 6838 + 653*o**2 + 3421).\nAnswer: 653*o**4 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmdda. Give prob of sequence wdam.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -9 - (-27 - -11 - -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/22995*(225\/9)\/(-5)*-1?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275675 is divided by 39356.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c**2 + 0*c)*(2741 + 2536 + 614 + 1563).\nAnswer: 14908*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 10:42 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 + 143090492*n\/5 + 57236200.\nAnswer: -4*(n - 35772625)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 1:58 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 77\/44*(-1 - 7). Let b = s + 17. Suppose b*f - 1 = -13. Let t(l) = -l**2 - 3*l + 4. Give t(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.524316 + 1.4682. Let k = b + 0.056. Round k to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26228 is divided by 2179.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -653183*j**5 + 21*j**4 - 160433994*j**2 wrt j.\nAnswer: -39190980*j**2 + 504*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.712756 rounded to one dp?\nAnswer: 874.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 5. Let u(z) be the third derivative of 0*z + 2\/3*z**3 + 5\/24*z**4 + 5*z**2 + 0. Let p(f) = -4*o(f) - 3*u(f). What is p(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 4, x: 4}. What is prob of picking 2 b and 1 x?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-22)\/12 + 2). Let s = z - 0. Let g be -4 + (-2*1)\/2. Which is the nearest to s? (a) -2\/9 (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00051346 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 12 (c) -4\/9 (d) -17\/6 (e) 2\/11 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 713030 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -15. Let i(f) = -92*f - 1. Let q(c) = -23*c. Let p(y) = -2*i(y) + 9*q(y). Let w be p(-5). What is the greatest common factor of w and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701 divided by -9?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430 or -3809?\nAnswer: -3809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - -1) + (-2 - 1)\/3. Calculate the smallest common multiple of 24 and 1 + 3111\/18 - p\/30.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -94, -176?\n\"Answer: -82*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82850 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 318 = -x, -m - 5*x - 608 = -5*m. Let j = m + -157. Solve 20 = -5*a - j*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 17*l**3 - 13*l**2 - 17*l - 26. Let a be p(10). Suppose -13*x = -x - a. What are the prime factors of x?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*z + 981, -k + 339 = 9*z - 4*z. Let d = k + -261. Calculate the remainder when d is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 16, -6\/11, -2 in ascending order.\nAnswer: -2, -6\/11, 0.1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-15\/8)\/(x**(-13)*x) assuming x is positive.\nAnswer: x**(81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*d + 19716, 3938 = 2*y + 3*d - 9206. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -22) + -18 + (15 - 14) + 8 + 21?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)\/sqrt(3))\/sqrt(3) + -2.\nAnswer: -2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 4*m**2 + 6*m**3 - 3*m**2 - 4*m**2 + 44*m**3 - 2.\nAnswer: 50*m**3 - 5*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4 - a**3.\nAnswer: a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -42 + 44 - (-6)\/9*12\/(-16). Suppose 0 + 13\/4*s**3 + 1\/4*s**5 - j*s**4 - 3*s**2 + s = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (468\/(-204))\/(19 - 4536\/238).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**3 - 4*t**2 - 6*t. Let s(f) = -4*f + 1. Let p be s(-1). Let k(v) = 4*v**3 + 4*v**2 + 5*v. Let b(j) = p*q(j) + 6*k(j). Calculate b(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**3 - v**2 + v + 1. Let k be (-32)\/6*15\/(-10) - 2. Let t(a) = a**2 - 6*a + 3. Let z be t(k). List the prime factors of p(z).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*q**3 - 224*q**3 - 425*q**3.\nAnswer: -561*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 54.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/11 > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2. Let n(l) = l**3 + 1. Let r(o) = k(o) - 2*n(o). What is the remainder when r(-1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 35*y + 81. Let i be c(-2). Solve 21 = -2*m + i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o**2 + 2*o - 1. Let w(n) = n - 7. Let i = 26 - 30. Let u be w(i). Let s = 13 + u. Give z(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8076\/108 + 2\/9. Let b = x + -54. Calculate the greatest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i**2 + 11*i + 5. Let u(q) = -15*q**2 + 16*q + 7. Let z(w) = 7*j(w) - 5*u(w). Find the second derivative of z(s) wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.3, -0.4, 0.01, -3\/44, 0.78, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13518547*h*n**4 - 2941*h*n - 1145 wrt n.\nAnswer: 162222564*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 3)*(118*o - 43*o + 71*o) - 7*o - 4*o + 0*o to the form v*o + m and give v.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3*1\/(-12) - (-5439)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006020384451 rounded to 4 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 1:26 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**3 - 502*x**2 + 3056*x + 11. Determine h(161).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 bigger than -1129122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-6)*(5 - 495\/100)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - -1.6. Let g = -19\/2 + 9. What is the biggest value in 2, g, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39075572, 39075559, 39075546, 39075533, 39075520?\nAnswer: 39075507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2586 and 146109?\nAnswer: 292218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 34194066, 34194065, 34194064, 34194063?\n\"Answer: -d + 34194067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 16 = x - 2, -2*j - 8 = -3*x. Calculate the greatest common divisor of x and 266.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860 = -5*z + 2*u + 2245, -3*u = 0. Suppose 53 + z = 19*o. What is the remainder when 320 is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/11 < 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2328323 and 9?\nAnswer: 20954907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-12)*(4\/(-84))\/(192\/(-1008)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 11:06 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2196)\/45 - -12)\/(((-8)\/25)\/(272\/(-340)))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -22*z - 4. Let c(j) = -j - 1. Let s(l) = -5*c(l) + h(l). List the prime factors of s(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -174052 at most as big as -174045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5\/9 + 934994*x**4\/9 - 6544886*x**3\/9 + 1350526*x**2 + 311664*x - 1869960 = 0. Calculate x.\nAnswer: -1, 2, 3, 467490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1618 - 3231 + 2209*m + 721*m**2 + 1613 wrt m.\nAnswer: 1442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -26. Sort u, -5, -2\/17 in ascending order.\nAnswer: -5, -2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*n + 2. Let d be n*(-3 + 9\/4). Let y(o) = o**3 - 2*o**2 - o - 4. Let l be y(3). Solve f - 5*t - 5 = -4*f, -d*f - 1 = -l*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28309*v - 28307*v - 28306*v + 169868*v - 28311*v - 28312*v - 28311*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28898500 - 28898728 - 9507*d**4 + 0*d**3 + 23*d + 0*d**3 wrt d.\nAnswer: -114084*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 57 (b) 2\/19 (c) 0.4 (d) 1 (e) 0 (f) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6738798239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -60. Let n(x) = -x**3 - 3*x - 4. What is the lowest common multiple of b and n(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2 + 116*w + 53. What is z(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = -19*v + 65 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, 563, 554, 531, 488, 419, 318, 179?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5, -d = -m + 2*m - 1. Let s = d - 2. Let i be (2\/(-1))\/(-2 - 0). Put s, -3, i in decreasing order.\nAnswer: i, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {q: 8, n: 4, l: 2}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u - 3. What is v(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one twentieth of a tonne?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 7. Let z be m(5). Find the second derivative of -4*i - 7*i**2 - 8*i**z + 5*i**2 wrt i.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 15, 5*f - 3*o = 3*f - 9. Let v(w) be the second derivative of -f*w**2 + 1\/6*w**4 - 7*w + 0*w**3 + 0. Differentiate v(s) with respect to s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 48. Let g(y) be the second derivative of 17*y**4\/12 + 57*y - 7. Determine g(r(j)).\nAnswer: 153*j**2 + 4896*j + 39168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 32 = -3*c. Let d(y) = 5*y**3 + 3*y**2. Let x(r) = -26*r**3 - 16*r**2. Suppose -4 + 13 = 3*q. Determine c*d(n) + q*x(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 42231041?\nAnswer: -42231044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010000110011100010 + 11000?\nAnswer: -1100010000110011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + h - 142348, 28*o - 24*o + 2*h - 113882 = 0. List the prime factors of o.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*u + 56 = -u, -4*u = -4*t + 80. What is the least common multiple of t and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = -z. Suppose 5*r + 9 = -4*w, z*w + 1 = -w - r. Solve -2*o - 6 = j, -5 + 1 = w*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2, 1\/2, 1, 49, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679501?\nAnswer: 679501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5119 + 5122 + 5*j - 5*j + 6*j. Suppose -3 = -r + 1. Let n be s(r). Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**3 - 19*z**2 - 5. Let a(f) = 5*f**3 + 9*f**2 + 2. Let n(y) = 5*a(y) + 2*d(y). Find the third derivative of n(k) wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 8*z - 7. Let s be d(-7). Suppose s = 2*h - 3 - 1. Suppose h*l - 1 = b - 5, -2*l = 0. Solve 2*r - 22 = 4*f, -4*r + r = b*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1727*k**3 + 10*k**2 + 11*k - 22. What is the ten thousands digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1002749.\nAnswer: 5\/1002749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - -72a4?\nAnswer: 7295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/20 - d**4\/12 - 5*d**2. Find the second derivative of f(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413278, 826558, 1239852, 1653166, 2066506, 2479878, 2893288, 3306742?\nAnswer: 3720246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -22. Let a(x) = -x**2 - 9*x - 15. Let v be a(d). Suppose -14 = -u + v. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**5\/3 - 4*o**4 - 56*o**3\/3 + 4*o**2 + 18*o = 0.\nAnswer: -3, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 24*m - 24. Let k be y(-7). Let f be k*(18\/4)\/(-3). Let x = f - -7. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -48?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4\/7 + 3765*i**3\/7 + 1057878*i**2\/7 + 86410812*i\/7 + 85356696\/7 = 0. What is i?\nAnswer: -898, -178, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1116451, -1116328, -1116209, -1116094?\nAnswer: -1115983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -261*t - 2147. Let l be x(-7). Is l <= -319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/6 - 31*p**3\/3 + 179*p**2\/6 - 59*p\/3 = 0. What is p?\nAnswer: 0, 1, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37805611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*m + 6*m = -12, n - 3*m - 9 = 0. Suppose -2*y**4 - 4\/3*y - 4\/3*y**n + 14\/3*y**2 + 0 = 0. Calculate y.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31745*r**2 + 31745*r**2 + 340*r**3.\nAnswer: 340*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-49.507.\nAnswer: 9.9014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzzzzzzzzzzzznzz.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u - 84. Calculate the remainder when 81 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/42 - (354\/70 + 354\/(-6195))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*v - j - 56, -2*j = -3*v + 47. What is the remainder when 179 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 3*l - 15, -13*p - l = -12*p + 5. Solve p = r - 1, -5*s - 3*r - 9 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10101110?\nAnswer: 10101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 50568749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5209*l**2*o - 6*l**2 + 6*l + 5 wrt o.\nAnswer: -5209*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/11616 and -123\/7040.\nAnswer: 232320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*l - 3*h, -l = l - 4*h - 26. Let g = 73 - l. Is g greater than or equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -32, -27?\n\"Answer: 5*c - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 + 3*a. Let t be p(-3). What is the greatest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188319671*b**2 + 188697620*b wrt b.\nAnswer: 376639342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -108767556?\nAnswer: -108767556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 900 = 0. Suppose -3*v = 295 - 1525. Suppose -x - v = -5*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrnpnrpr. Give prob of sequence nnpp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from tzeettwszepeppzttet?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:36 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*-2)\/sqrt(12))\/(3*sqrt(192)) + -2.\nAnswer: -2 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 224*z**2 - 6779*z**3 + 6781*z**3 + 537*z**2 - 4*z to the form i + a*z**3 + g*z + s*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z + 26. Let c be i(-13). What is the derivative of -5*r**3 + c*r**3 + 3*r**3 - 9 - 20 wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58491, 233960, 526403, 935814, 1462187?\nAnswer: 2105516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -314, -303, -288, -269, -246?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -5185, -12643, -23093, -36541?\nAnswer: -52993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 9*p + 13. Let u be g(10). Let h(y) = y + 7. Let r be h(-5). Let q(n) = 1 + 3*n - 5*n**2 + r - 5*n + 5*n + n**3. Calculate q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + z + 14 = -4*v, 0 = -5*v - 4*z + 52. Suppose 0 = -23*t + 11*t + 1008. Calculate the greatest common divisor of t and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125465 is divided by 108?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 720917880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -20*p + 146 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, o: 3, s: 6, n: 1, x: 5, z: 1}. Give prob of picking 1 x and 2 o.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 + 5*d + 54. Let o be f(6). Let k be 31\/2 + (-1)\/(-2). Let i = k + o. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 9. Let c(p) = -p**2 - 2*p - 2. Determine c(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(425) - (sqrt(425) + 0)*-4) + -2*(0 + sqrt(425) + sqrt(425)) + 2))**2.\nAnswer: 720*sqrt(17) + 15444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 432*a**2 - 759*a + 512921. Give k(431).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a minute in seconds?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**3 - 4*v**3)*(-2 + 3*v - 2*v - 3*v) + (-3 + 3 - v**2)*(4 - 4 + 5*v**2) - 25*v**4 + 8*v**4 - 14*v**4.\nAnswer: -32*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsk when three letters picked without replacement from sgzsxsnxkkssn.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*q - 5 + 13 = 0, 4*p = -4*q + 16. Let r = -30 + -17. Let y = 142\/3 + r. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, d: 1, q: 1, m: 5, y: 6, p: 3}. What is prob of picking 1 p and 3 a?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 22. What is b(0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 156\/(-24)*60\/(-39) + 43 + -4 + 5\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49392 and 576?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -92 + 148. Suppose 0 = -k*v + 58*v - 156. What is the highest common divisor of 26 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51 (b) -4 (c) -5336\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 27579123*h - 137895540.\nAnswer: -3*(h - 9193036)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-352)\/(-33))*2*2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 19*z**2 - 3*z + 13. Let k be j(17). Calculate the common denominator of ((-18)\/20)\/(6*4\/k) and 53\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -7*u + 12. Let l = 3 + -3.3. Sort l, u, 3 in descending order.\nAnswer: 3, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2, w: 4}. What is prob of picking 1 w and 1 u?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7*h. Let g(l) be the second derivative of l**3\/6 - 3*l. Give g(m(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 0.1 (c) 0.2 (d) 0.3166 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 38 + -44 - 22 - (-1 + 137).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -949.78625 rounded to 1 dp?\nAnswer: -949.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12101202 (base 3) to base 11.\nAnswer: -2a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -97, -130, -143, -130, -85, -2, 125?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i + 660 = 44*i. Let g = i - 151. Calculate the remainder when 67 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*s + 6*s**2 + 5*s**2 + 3*s)*(0*s**3 + 4*s**3 - 2*s**3 + (0*s**2 + 2*s**2 - s**2)*(s - 2*s - s) + s**3 + 0*s**2 + 0*s**2 - 443*s + 443*s - 21*s**3).\nAnswer: -220*s**5 - 20*s**4 - 40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 - 529 + 174 + 176 - 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 2. Let s(q) = -4*q + 2. Suppose 0 = 5*d - 0*o + 4*o + 15, 2*d = o - 6. Let f be (d - 1) + 23 + -23. Give f*s(k) - 5*m(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -d. Suppose -d*i + 1310 = -i. Round i to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*k + 161 - 658 = 0, 4*k + 20 = 0. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**2 - u - 8. Let s be a(-2). What is the greatest common factor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76, -0.4, 10.15?\nAnswer: 10.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311*0.4.\nAnswer: -124.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 6. Suppose -v - 3*v = u - 47, -3*v - 5*u + 31 = 0. Calculate r(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.19, 1, -2\/7, 14?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - l + 2)*(-4 + 4 + 2*l) + (-1472*l + 3744*l + 4238*l + 4161*l)*(3*l + 5*l - 6*l).\nAnswer: 21340*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 249756?\nAnswer: 749268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2 - -3)*2. Let x be 98*4\/(-6)*-3. Suppose -2*l + 27 = -2*o - 83, -4*l + x = w*o. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13\/60 - -7\/15. Let k = -369588\/13 - -28430. Which is the biggest value? (a) k (b) x (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-6)\/(f\/((f\/(f\/f**(1\/4)))\/f)))\/((f\/f**(-2\/7))\/f**(2\/9)))**(-9) assuming f is positive.\nAnswer: f**(2221\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054868 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493875 divided by -17?\nAnswer: -87875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*s + 335 + 430 = 309*s for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/19 and -45\/7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 102. Let b be i\/(-15)*140\/(-16) + -2. Sort 2\/21, 1.4, b in increasing order.\nAnswer: b, 2\/21, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15126 divided by -102\nAnswer: -2521\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129609 to the power of 1\/2, to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1192465997*z**3 - 1179847359 wrt z.\nAnswer: 3577397991*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + -498. Let y = -316 - g. Let j = 238.63 - y. Round j to one decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 13*u. Determine j(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91084 divided by -22771.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 614090956 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 83294139 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + s - 4*s + 22*s**2 - 21*s**2 + (-s + 8*s - 2*s)*(-s - 17 + 17) to the form v*s + q + i*s**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-344)*-1*(-5)\/((55\/(-44))\/1).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*y + 2*f - 36, 2*y - 4*f = -24. Let l be 8\/6 - (-4)\/y. Suppose 5*v + 5*j = 40, l = -v + j + 7. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**3\/6 - 75*z**2\/2 - 432535*z\/3 - 288200 = 0. What is z?\nAnswer: -393, -2, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**3 + 2*n**2 - 2*n**3 - 4*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q**3 + 2*q**2 - 2*q. Let p(h) = 45*h**3 - 9*h**2 + 9*h. Determine -9*b(c) - 2*p(c).\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2440 or -1\/16201?\nAnswer: -1\/16201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 + 3*j + 34*j**2 - 11 + 26*j - 6. Let g(n) = 6*n**2 + 10*n - 6. Let t(y) = -17*g(y) + 6*m(y). Find the second derivative of t(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7169580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 9*w - 19. Let q be r(-14). Let n = q - -99. Solve 5*y - 15 = 3*g, -3*y - y = 2*g + n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -2*v + 3*v - 2*v**2 + 8 - 5 + 0*v**2. What is o(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 2) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -6\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448728778?\nAnswer: 2, 2237, 100297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, -6 = -5*k + 5*r + 9. Solve -8 - 7 = -k*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 1026*a + 45. Let t be u(6). Let o = t + -2266. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/5 (b) -1\/11 (c) 1 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 15*o + 76. What is the tens digit of j(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-665)\/42*186\/155?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-3)\/(-6)*120\/45?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 5:59 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 1.21. What is the nearest to 0 in q, -0.4, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 416420 and 615.\nAnswer: 51219660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - v = 2, -5*v + 2*v - 13 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = 8*h - 200. Suppose -h*g = -12*g. Is 38 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 135 + 105. What is the remainder when 378 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 17. Let i be 9\/g*12\/9. Solve -i*x + 0 = -a + 1, -25 = -5*x - 4*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-43)\/688*(2 + -6). Let t be 20\/30*6\/(-56)*1. Which is the closest to 1? (a) -0.2 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:06 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 2342165.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + 12*w**2 + 0*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c3a9a (base 14) in base 12?\nAnswer: 1a8908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4) + -8 + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1*(-2)\/(-14)). Suppose -4*b = 4*p - 0*b - 56, 3 = 3*b. Let v = 19 - p. Solve 11*f - v*f + u + 15 = 0, c = 2*f + 3*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.6852823 to the nearest integer.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**4 + b**2 - 2*b. Let v(h) = -9*h**4 + 325*h**3 + 5*h**2 - 4094*h. Let j(w) = 3*g(w) - v(w). What is the second derivative of j(r) wrt r?\nAnswer: 36*r**2 - 1950*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - 111?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1449 divided by -733.\nAnswer: 1449\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 3*f = 10*s - 31 + 127, 44*s - 45*s - 24 = 4*f for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*(-15)\/(-10)*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312176875 by 125.\nAnswer: -2497415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)\/n)**20\/(n**(1\/3))**(-29)*(n**(-2))**9*n**4\/n**1 assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24570559 and 5.\nAnswer: 122852795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 758 = 4*l, -2*l - 2240 = -3*w + 3*l. What is w rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7501, 3, -3 in decreasing order.\nAnswer: 3, -3, -7501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k*s*t**2*y**2 + k*s*t**2 - k*s*t*y**2 - 17*k*s*t - k*t**2*y**3 - k*t*y**3 - k*y**3 wrt t?\nAnswer: -4*k*s*y**2 + 2*k*s - 2*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52008466.\nAnswer: 2, 26004233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 130 = 8*s + 15*u, -5*s - u + 8 + 21 = -12 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.2622l in millilitres?\nAnswer: 176262.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 7)\/12*(-8)\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*t - 5*b, -6*t - b + 294 = 308 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 8:25 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 57 + 28 + 30 + 37 as j*n**2 + g*n + c and give c.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:54 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -30, -91306 in descending order.\nAnswer: 18, -30, -91306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*z = 8, 3*q + 355*z - 350*z = -42. What is the closest to 76 in q, 0.2, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - (11 - (5 - -18))) - 25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - q**3 + q**3)*(4*q - q**2 - 4*q) + (-2*q + 2*q + 3*q)*(-2*q**4 + 4*q**4 - q**4) + 6*q**5 - 4*q**5 - 6*q**5.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrobbbdokb. Give prob of picking 1 k, 1 d, and 1 b.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66407, -66385, -66363, -66341, -66319?\nAnswer: -66297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130, -276, -432, -598, -774, -960, -1156?\n\"Answer: -5*y**2 - 131*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6954, 2, 103.8 in increasing order.\nAnswer: -6954, 2, 103.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99.700000882 - -99.7. What is m rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 36. Suppose k + 2 = r*k. Let m be ((1 + -1)\/k)\/(-2). Which is the nearest to 0? (a) 4 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.3702 and -3233326629?\nAnswer: 3233326633.3702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4662)\/(-2997))\/((-7)\/54).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 + 0. Which is the closest to 0.1? (a) -5 (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 332 = 5*s, -2*s + 200 = -2*u - 28. Let g = -56 - u. Calculate the remainder when g is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4055896 a multiple of 1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/60 - b**5\/12 - b**4\/6 - b**3\/2 + 4*b**2. Let o be w(-3). Solve 5*u + 3*k + 18 = -6, 4*k = -2*u - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96\/13 + -3116\/429. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 11443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49569 + 187677 = 580*j - 1934*j for j.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkilkjloikioloijo. What is prob of sequence kjl?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**4\/12 - u**3\/2 - u**2. What is the units digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005387 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686324 minus -6904?\nAnswer: 3693228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -235 + 1. Let k = f - 31. What is the least common multiple of k and (-4)\/6*-6*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 9) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 - -32. Let g(l) be the first derivative of -2812*l**4 - 4*l**3\/3 + 6*l**2 + 8*l + 5. Let w be g(d). What is w rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 2 n when four letters picked without replacement from bsbnrsrnnrrrbci.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 19 - 8 = 4*b, 4*b + 132 = 4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 2154?\nAnswer: 161550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 9235404.\nAnswer: 507947220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l + 46*l + 252 = 71*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13378862*d**2 + 19300597 wrt d?\nAnswer: -26757724*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41106 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/112 - (-141868)\/96. Let g = n - 1499. What is the common denominator of g and (-2)\/6 - 5\/(-7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 268605 and 4865?\nAnswer: 261352665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**4 + 18*j**3 - 2*j**2 + 6*j + 378 wrt j?\nAnswer: -12*j**2 + 108*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27229.\nAnswer: 73, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 0 - -2) + -21 + 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.3. Let j = v - -0.4. Let m be (-60)\/(-1215)*468\/(-104). What is the second biggest value in 0.4, j, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 1300 = 870 + 778 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 2 + 3*c - c**2 + 0 - 5*c. What are the prime factors of o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 10012?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1375))\/(sqrt(245)*-3).\nAnswer: 10*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -4308, -9733, -17380, -27279?\nAnswer: -39460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*m**5 + 2866*l**2*m**2 + 28*l**2*m + 11*l**2 + l*m wrt m?\nAnswer: 20*l**2*m**3 + 5732*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-5)\/10*-8. Suppose -5*f - 3 - 7 = k. Let b be -7 + 0 + 16\/2. Sort 0, b, 6, f.\nAnswer: f, 0, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 10*o**2 + 2*o - 2029. Let i(h) = 32*h. Calculate i(m(x)).\nAnswer: 640*x + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {g: 2, f: 5, d: 2, e: 1, x: 1, i: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/336*((-8)\/(-320)*-2)\/(25\/300)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.2184 hours to days.\nAnswer: 10.5091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16868759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 237*f**2 + 23*f + 65. Let l be t(-3). Suppose 38*j + 305 = l. Calculate the highest common divisor of 256 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18747.429 - 18714. Let w = -33.6 + h. Round w to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 76*i + 9. Let k(q) be the second derivative of -19*q**3\/6 - q**2 + 4*q + 94. Give 9*k(x) + 2*n(x).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -109*h**3\/3 - 39. Let c(w) = 2*w. Determine x(c(v)).\nAnswer: -436*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + 0 + (3 + sqrt(2736))**2.\nAnswer: 84*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118741921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 8, y: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 617 (b) 3\/4 (c) -396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 224170, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 9 (b) -0.5 (c) -8411 (d) 3 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)\/p**2)**(-17\/3)*((p\/((p*p**(-4)\/p)\/p*p))\/(p*p\/(p**(-2)*p)*p))\/(p*p**(-4\/7)*p*p\/(p\/(p\/(p\/((p*p**(-6))\/p*p)*p)))) assuming p is positive.\nAnswer: p**(1069\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 117\/52*64\/96*(-15)\/18\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-1 - 72 - -42 - (-1 - 14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3283239 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*-1*sqrt(264))\/sqrt(12))\/(sqrt(44)\/(2*sqrt(4)) + sqrt(11) - sqrt(66)\/(sqrt(18)\/sqrt(3))) + -2)**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, 70 in decreasing order.\nAnswer: 70, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -3?\nAnswer: 65\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*v - 34 = -692 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211130302 (base 4) in base 16?\nAnswer: 25732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43743 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -835*m + 7518. Calculate g(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 941464 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/60 - 11*o**4\/24 + 2*o**3\/3 + 5*o**2. Let r be b(-11). Suppose -r*l + 95 = l. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104.3 and 20982?\nAnswer: 2188422.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 h, and 1 i when three letters picked without replacement from rhwbiiw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 112?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -2.4. Let s = 2.96 - 3. Let q = 0.34 + s. What is the biggest value in q, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 3. Calculate v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 287, 234, 129, -46, -309?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152870 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/515 (b) -18.72 (c) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (290\/3045)\/(((-48)\/(-21))\/2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484301000 rounded to the nearest one million?\nAnswer: 1484000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.6 - -18.4. Let c = 24.5 - l. Let x = c + -2. What is x rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 7*v + 4. Let b be 39\/6 - (-3)\/6. Let d be z(b). Let a(c) = d + c + 1 - 5. Let r(k) = 2*k**2. What is r(a(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/24 - 2\/6. Let d = -187\/1131 + 1\/87. Let l = 5.7 + -1.7. Which is the closest to 0.2? (a) l (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j = -5*b - 17*j + 766, 0 = -5*j - 10. Solve -133*s = -b*s + 95 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540693 rounded to the nearest one thousand?\nAnswer: 541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 100 = -18*d + 20*d, 8*d - 9*d + 5*c = -2*d + 270 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-12)*k)\/((k**(-2\/11)*k*k)\/k*k))\/(k**3\/k**(-2)) assuming k is positive.\nAnswer: k**(-196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32358549 - -1438.9?\nAnswer: -32357110.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g, 3*g + 0 = -4*q + 3. Is 111\/q + (2 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -3*a + 5*s, s = -2*a - 2*s + 209. Let r = -77 + a. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q - 41. Let y be b(-8). Let w = -96 - y. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 42, 34, 1, 2525 in increasing order.\nAnswer: 1, 3, 34, 42, 2525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 741*v**3 + 3*v**2 + 1164. Let c(a) = 738*a**3 + 4*a**2 + 1163. Let x(z) = 3*c(z) - 4*t(z). Differentiate x(g) wrt g.\nAnswer: -2250*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 8 - 4. Suppose -2*n = -t*r - 128, -4*n + n - 2*r = -167. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 (base 15) in base 4?\nAnswer: 21023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -2 + (-3 - (-4 - -8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4019 - -88501\/22. What is the common denominator of m and ((-57)\/30)\/((-12)\/(-10))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(425) - sqrt(425)*-4 - sqrt(425)) - 6*1*sqrt(425).\nAnswer: -10*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -18*w**2 - 11*w + 1. Let b be t(-3). Let v = 189 - b. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 279*o + 1 + 273*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -886 - -879. Let f be t - 19383\/(-1939) - 3. Is 0 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 2\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/240 and -68\/36271305.\nAnswer: 580340880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -51. Let u(h) be the third derivative of h**4\/8 - 2*h**3\/3 + 2*h**2. Does 8 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -18. Let n be 20\/25*x\/2. Suppose 2*b - g = -n*g + 10, 5*b - 4*g - 71 = 0. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.7 times 0.6?\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9*8\/(-54))\/(2*3\/45). Sort 20, -4, t, 2 in descending order.\nAnswer: 20, 2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -75, -117?\n\"Answer: -42*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 430298 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 462 and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*c = 210. Let f be 0 + (-2 - -6) - 2. Suppose -f*p - 3*p = -c. Calculate the remainder when 53 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k = 3*p - 5818, -4 = -4*p. List the prime factors of k.\nAnswer: 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124.129239 rounded to zero dps?\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3 - 4*h**2 + 5 - 2*h**2. Let q(y) = -2*y**2 + 3. Suppose 531*x - 399*x + 2244 = 0. What is x*q(p) + 6*o(p)?\nAnswer: -2*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19057290 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n**2 - 78*n**2 - 1944 + 142*n**2 + 52*n**2.\nAnswer: 155*n**2 - 1944","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367\/7 - 3167\/56. What is the common denominator of -48 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/354 and -155\/9912.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 978\/39 - ((-18)\/1287)\/((-4)\/22)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*x - x - 3*x)*(-11*x + 3*x + 4*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -632 + 539.6. Let n = 93 + h. Sort -1, -2\/3, n in descending order.\nAnswer: n, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23436 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20057, -160418, -541399, -1283312, -2506469, -4331182, -6877763, -10266524?\n\"Answer: -20052*p**3 + 2*p**2 - 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c + 151 - 501 = 4*u + 20*c, 0 = 4*u + c - 46 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491 + 1000 = -213*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1569 = -9*g + 291. Let m = -140 - g. Solve -m*k + 5*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4856*q**3 - 4724*q**3 + 9572*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.137 and -1.2.\nAnswer: -1.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*y - 2*f, f = 2*y - 93 - 96. Suppose -94*q = -y*q - 5318. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 1. Let r(u) = 8*u - 3. Let c(k) = -15*k + 5. Let j(t) = 6*c(t) + 11*r(t). Calculate j(h) + 5*z(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 15. Give y(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587 + -590. Let z(l) = -9*l - 2. Calculate z(y).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40550.48 to the nearest 100.\nAnswer: -40600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**4\/2 + 65*k**3\/2 - 445*k**2 + 1070*k - 660 = 0.\nAnswer: -22, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -26.7. Let b = 0.3 - a. Let j = b - -1. Is j greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9324, 9316, 9304, 9288, 9268?\n\"Answer: -2*f**2 - 2*f + 9328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*n - 708 - 792 = -76*n for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w + 1178. Let u be p(71). Solve -u = 80*n - 73*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/60 and -73\/2610.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) 3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 4 (c) 1 (d) 15\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17295951 is divided by 12146.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.068736 meters?\nAnswer: 3068736000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244\/(4\/2)*(2425\/(-2910))\/(30\/(-18))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qelqqqboqouue. What is prob of sequence eobu?\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 81, 198, 373, 612?\n\"Answer: o**3 + 20*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119921, 119780, 119543, 119210, 118781, 118256, 117635?\nAnswer: 116918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**4 + 105*t**3 + 411*t - 7. Let r(c) = 2*c**4 + 52*c**3 + 206*c - 3. Let u(h) = 3*b(h) - 7*r(h). Find the second derivative of u(v) wrt v.\nAnswer: 12*v**2 - 294*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.316 + 266.684. Let q = -267.000223 + a. What is q rounded to five decimal places?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**4 + 191*t**3 - 468*t**2 - 31*t - 19 wrt t.\nAnswer: 24*t**2 + 1146*t - 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 i, and 1 f when three letters picked without replacement from bbifbzfb?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 3*b**4 + 0*b + ((3 - 1 + 0)*(-7*b**3 + 10*b**3 + 7*b**3) + 2*b**2 - 2*b**2 - 2*b**3)*(-3*b + 0*b + 2*b).\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4379 + 4379 + 3*f**4 + (-3*f**2 + 2*f - 2*f)*(f**2 - 2*f**2 - f**2).\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:19 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 14*c**2 + 13*c + 6. Calculate the smallest common multiple of g(-13) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 64*d - 427. Is l(-15) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -298025038\nAnswer: 298025037.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**2 - 21*j - 20. Let y be a(-9). What is the smallest value in -0.5, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((23 - 1) + -763 + 700)\/(1\/1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16053*b**2 + 14*b**3 + 32 - 4336 + 16059*b**2 wrt b?\nAnswer: 42*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/240972 and -59\/2064.\nAnswer: 963888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10614 and 31842.\nAnswer: 31842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 170, -0.1, 0.5, 2\/7, 0.19.\nAnswer: -0.1, 0.19, 2\/7, 0.5, 3, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 8*s - 4. What is the least common multiple of 12 and u(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239470 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 568, 244, -292, -1040, -2000, -3172, -4556?\n\"Answer: -106*l**2 - 6*l + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**4*h + 2*b**4 + 4*b + 2005*h with respect to b.\nAnswer: 4*b**3*h + 8*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611281 and 283321.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssstsssst. Give prob of sequence tsss.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2513 - 13713 = 155*q - 603*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -18, -38, -64, -96, -134, -178?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -80 + 4\/(2*-1). Suppose 2*k - x - 300 = 0, -3*x = -3*k + 761 - 305. Let y = k + c. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2 - 6*r + 2*r**2 - 10*r**2 - 4*r**2 wrt r.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 not equal to -103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219454\/33 + 6651. What is the common denominator of 91\/24 and c?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6401731 is divided by 2297.\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -421546222\/67949 - -316402\/51. Let t be (-563)\/(-2284) - 1\/4. Let o = t + m. Which is the smallest value? (a) o (b) -36 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 6*j - 61. Let c be g(12). Let d(n) = -n**2 - 299*n - 2*n**2 + c*n. Let m(y) = -16*y**2. Give d(m(u)).\nAnswer: -768*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4215?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 100. Suppose r = m*f - 0*r + 7, 3*f + 9 = 2*r. Put -4\/5, f, -3 in increasing order.\nAnswer: -3, f, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 96*k - 14. Let c(o) = -2*o. Determine i(c(w)).\nAnswer: 8*w**2 + 192*w - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57231*k**2*z**3 + 5488*k**2 + 3*k + 1 wrt z?\nAnswer: 171693*k**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -n - 7*o + 8, -5*n + 4*o - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - ((-1)\/1)\/((-3)\/(-6168)) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 230*w + 334. Let j be t(9). Suppose j - 11771 = -17*a. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.3 + -9.45. Let g = i + -2.15. What is the biggest value in g, 89, 1?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/111852 and 53\/748548.\nAnswer: 9731124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 3. Let y be w(-8). Let n(a) be the first derivative of -a**3\/3 - 3*a**2\/2 + 7*a + 1. Determine n(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2*n**2 - 7*f**2*n + 400*f**2 - 1608*f + 54694*n**2 wrt n.\nAnswer: -2*f**2*n - 7*f**2 + 109388*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349083 - 151384. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-17)\/2)\/(36\/(-408)). Which is bigger: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136533 (base 11) to base 14\nAnswer: 57bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:48 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7*x - 12*x = 24, -4*h - 2*x - 14 = 0. Is h greater than or equal to -6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07333611759 rounded to three dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3909 divided by 3?\nAnswer: 1303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -1. Let n be 7\/(41 - 6) + (-1)\/(-45). Let y = 183 - 1277\/7. What is the nearest to 2 in o, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**8\/840 + u**5\/60 + u**4\/2 + 11*u. Let t(v) be the third derivative of c(v). Find the first derivative of t(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 234*g**2 - 353*g - 27967. Give f(-233).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + -4 - 15) + 43 - (-1 + 6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110110111 + -10010010111001?\nAnswer: -110011001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3813740, 3813736, 3813734, 3813734, 3813736, 3813740?\nAnswer: 3813746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 254013?\nAnswer: 8636442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194 - 179. Find the common denominator of 1\/k*(-1130)\/(-12) and 19\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 296 = -10*v + 7*v, 3*v - 4*i - 302 = 0. Calculate the remainder when 475 is divided by 28\/v - (-472)\/14.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552257 and 64829?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13702 and 2232.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 8*w**2 + 8*w**2 - 9*w**4 + 7*w**4 - w to the form k*w**3 + c*w**4 + h*w**2 + n*w + q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + 662831 - 662831. Let f(h) = -2*h**2 + 4*h. What is n(f(i))?\nAnswer: -16*i**4 + 64*i**3 - 64*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12454 + 12453.6. What is the nearest to -293 in i, -3, 3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by -11403?\nAnswer: 55\/3801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 12:36 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1118, 2224, 3330, 4436, 5542, 6648?\nAnswer: 7754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5065*f + 5673*f - 9909 - 322969 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(12\/(-166)). Let h = -164\/3 + 83\/2. Let p = h - i. What is the common denominator of p and -115\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 9:39 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1466779 and -0.07.\nAnswer: -102674.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 1 + 3. Let n be 17 - ((o - 0) + 0). Solve -5*d + n = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5770717 + -1?\nAnswer: 5770716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27405311777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pr when two letters picked without replacement from {r: 1, w: 5, p: 1, b: 5, c: 4}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 4583.\nAnswer: 9166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 33 and -1288?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 8 = 4*l, -l + 2*q - 8 = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/6*(-27)\/(-6). Let c(s) = -15 - 34*s**3 + 30*s**2 + 19*s**3 + 7*s + 13*s**3. What are the prime factors of c(d)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c - 78. Let m be y(16). What is the highest common divisor of 88 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - 14. Suppose -d - 4*a + 4 = -3*d, -5*d - 38 = 4*a. Does 16 divide z(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.7 + -94. Let m be (9\/(-51))\/((-6)\/4). Which is the closest to 2\/7? (a) 0.2 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l. Let w(x) = 3*x. Let o(n) = -5*w(n) + 8*y(n). Suppose 0 = 4*r - 4*t + 13 - 1, -4*r + 3*t = 9. Let k be o(r). Solve 3*u + 1 + 8 = k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-309)\/4) + 9\/12. Let w = n - -841. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15849591 by 6.\nAnswer: -5283197\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-48))\/(2\/40). Suppose 3*q + 12 = 3*o - 0*q, 4*q - 20 = -t*o. Differentiate 4 - 6*z - o + 13 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n - 14. Let r(g) = -6*g + 15. Let a(l) = 7*d(l) + 6*r(l). Let z be a(-12). Suppose -z*k + 13 + 2 = -3*y, 0 = y + 3*k - 8. Does 2\/183 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(405) - (sqrt(405) + -3 + sqrt(405) + sqrt(405) - sqrt(405)))*-5 + (sqrt(405) + 3)*-3)**2 + -1.\nAnswer: -684*sqrt(5) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41051168.\nAnswer: 2, 41, 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 240231881 to the nearest integer?\nAnswer: 15499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -365385698 rounded to the nearest one hundred thousand?\nAnswer: -365400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 + 36*z**4 + 63*z**3 + 30*z**2.\nAnswer: 3*z**2*(z + 1)**2*(z + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((2\/(-1))\/12). Let u(g) = g**3 - 4*g**2 - 7*g - 6. Let n be u(t). Calculate the greatest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003185 to 7 dps.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1452 = 5*p + 4*a, -3*p + 5*a + 1376 - 490 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/9 + 18010*o**3\/9 + 39169666*o**2\/9 - 6245527042*o\/9 - 2094892900\/3 = 0. Calculate o.\nAnswer: -4577, -1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, u: 1, z: 2, i: 1, d: 1}. Give prob of sequence vu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8094547, -16189116, -24283685, -32378254?\n\"Answer: -8094569*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllwwllwwww. What is prob of picking 1 w and 2 l?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39588*p**3 + 4652*p - 1 wrt p.\nAnswer: -237528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0501445857 to 5 dps.\nAnswer: -0.05014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -375 * -9.46\nAnswer: 3547.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from {z: 3, y: 2, j: 3, i: 3, b: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 796784 and 28?\nAnswer: 5577488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 42. Suppose x*u - 2*t + t - 75 = 0, 2*u - 30 = -2*t. Let g = -39 + 42. What is the greatest common factor of u and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 1. Let j(q) be the third derivative of -q**6\/120 + q**5\/60 + q**4\/24 - q**3\/6 + 6*q**2. Let v be j(o). Solve v = -3*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from izssssisssszss. What is prob of sequence sssz?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2687 = -4*n - 5*d, 3*d = -2*d - 5. Suppose -11*j + n + 75 = 0. Let y = j + -23. Calculate the highest common factor of y and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s. Put s, 5, -6 in ascending order.\nAnswer: -6, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + -2 + -2*(-10)\/(-270). What is the smallest value in -1\/3, -2, l, -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -6*w**2 + 16*w - 3. Give a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*o + o + 20, -3*o = 5*j - 38. Is (9\/o)\/(-3)*(-3470)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.41 in 2, -0.3, 7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 9:39 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 3*u**5\/20 + u**4\/4 - u**3 - 18*u. Determine o, given that n(o) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 3*q + 11 - 2, d - q + 4 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Let k = 6 + -2. Suppose k*u + s + 38 = 115, s + 23 = u. Calculate the least common multiple of g and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/(-24) - (-306)\/816. What is the closest to 2\/3 in 2\/7, a, -3, 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 18.1 + -182.1. Let x = d + 165. Which is the nearest to x? (a) 1\/9 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49510*s**5 - 2753002*s**2.\nAnswer: 2970600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28010 (base 10) in base 2?\nAnswer: -110110101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let p(v) = -270*v**2 - 2. Determine p(o(b)).\nAnswer: -1080*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q - 15. Let k = -30 - -25. Let v be 45\/(-12) + k\/20. Let z be l(v). What is z rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z = -18*z + 23 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**3 + 3*k**2 + 6*k + 5. Let u(p) = -p**3 - p**2 - p - 1. Determine 6*u(v) + x(v).\nAnswer: -v**3 - 3*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0709 and -5753.\nAnswer: 407.8877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 - 4*p**3 - 1359 + 1360 + 5*p**3 + 3*p. Let b = -6 - -11. What is the remainder when d(b) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let b(c) = -6*c - 1. Calculate b(z) - 4*d(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6 = 3*k, -f = 264*k - 268*k + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18*o = -22*o - 220, -2*x + o = 88. What is the thousands digit of (2 - 186\/(-4))\/(x\/(-1232))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*f - 1042 + 399 - 257 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 3, n: 1, r: 16}.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p**(1\/6)*p)*p*p)*p*p**(-41) assuming p is positive.\nAnswer: p**(-245\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1108 + -7743\/7. Let l = d + -479\/28. What is the common denominator of l and 55\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 6*l)*(-27*l + 0*l + 24*l + 4*l**2).\nAnswer: 24*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 33894723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*h = 1, -1 - 2 = -2*r + 5*h. Let f be ((-5)\/3)\/((-368)\/(-366) + r). Let k = -169 - f. What is the greatest common divisor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.6562ml to litres.\nAnswer: 0.0176562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-8)\/28)\/(-2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*k = 2 + 1, -t - 5 = -2*k. Solve 0 = -2*g - 2*s + 5*s + 7, -s = -t*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**2\/3 - 1330*d - 27881\/3 = 0.\nAnswer: -3983, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1958007.819949 + 1958009. Let d = p - 1.18. What is d rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2088 and -7199?\nAnswer: 15031512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1357711\/5 + 272877. Let s = i + -1346. Find the common denominator of s and 53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 573 - 550. Solve y - 22 + p = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -9. Suppose y*w = 75 - 7. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21344605.\nAnswer: 5, 17, 151, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1) - (0 - 2). Let d(v) = -246*v + 9. Let u be d(m). Let q = -143 - u. What is q rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012002010000122 + 2?\nAnswer: 2012002010000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10302 and 918.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from syssysryrrsyrsr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**3 - 2*o**2 - 4*o - 14. Let f be b(-4). Differentiate -324 - 21*c + 152 + f wrt c.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 4. Let s be u(9). Let v be (2\/(-20))\/((-11)\/s). What is the closest to 0.1 in 1\/4, v, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/9, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -31, -3\/8, -9, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -210 + 208. Which is the fourth smallest value? (a) -1.3 (b) 0.1 (c) 2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -1\/3, -10\/17, 0, 1, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 12:19 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48127 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxhreyxv. Give prob of sequence xhyr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c + 2. Let f be (-3)\/(3 + (-36)\/10). What is the remainder when p(f) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 70939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*r + 10 = r, 0 = 5*t - 2*r + 4. Let n = t - -94. Suppose -4*l = -y - y + n, -4*l - 147 = -3*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 6\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqeccecqqceqqei. Give prob of picking 1 e and 1 q.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + 2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -623 - -610. Put j, -12, 1 in descending order.\nAnswer: 1, -12, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + q + 2. Let z be w(2). What is the common denominator of 81\/4 and (-2)\/z + (-55)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219 divided by 124862?\nAnswer: 1219\/124862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 669\/53 - 5299\/424. Factor g*k - 1\/8*k**3 + 3\/8*k**2 - 3\/8.\nAnswer: -(k - 3)*(k - 1)*(k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - -18. Suppose p + 139 = -3*j, 2*j = -3*p - s - 78. Let r be (-3 - 129\/j) + 1204\/30. What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19832 * 0.477\nAnswer: 9459.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*j - 212 = -4*j - 4*d, -4*j - 44*d - 41*d + 34 = -87*d for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*l - 40, -k - 2*l = -2*k + 12. Suppose -k*p = 107 - 307. What is the greatest common divisor of p and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from hhuvrvyuhhuhvhhharua.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f - 11595. Let g = -922 - f. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 426686 and 125138?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 2384.\nAnswer: 16688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4221 (base 5) in base 15?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (4 + -6)) + (-4 - -1). Let b(o) = 2*o**2 - o - 1. What is b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x + 10. Suppose 2*m + 7*t + 11 = 2*t, 0 = 5*m - 5*t + 45. Determine u(m).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 78*g**2 + 22*g**2 + 26*g**2 to the form v + w*g + a*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 684 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-60)\/(-18)*((-14740)\/(-25) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (610\/(-14640))\/((-2)\/56)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/18341147 and -10\/11781?\nAnswer: 1155492261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/30 + 16\/5. Let n(z) = -z**2 - 2*z + 0*z - 1 - z + o. Let u be n(-3). Solve 5*c - 16 = 5*x - 1, 0 = 5*c - u*x - 18 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 0, -4*t = 20*l - 17*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 0*p + 21 + 5*p.\nAnswer: 3*p + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -66054447?\nAnswer: 66054453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3 + (-6)\/(-3)). What are the prime factors of (-7)\/(-3)*3 + v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97577373*f**3 - 2*f**2 - 121754705*f.\nAnswer: -585464238*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -315*d**2. Let m(u) = 2*u + 80. Give m(i(w)).\nAnswer: -630*w**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a - 89. Let t(k) be the third derivative of k**5\/15 + 13111*k**2. Determine t(c(s)).\nAnswer: 576*s**2 + 8544*s + 31684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 73721*r*u - r - 108746*u wrt r?\nAnswer: 73721*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002627 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(195) - (sqrt(195)*1 + sqrt(195)) - sqrt(195)))\/(sqrt(45)*3))\/((2*sqrt(33)*-1)\/(4*sqrt(44))).\nAnswer: 32*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-381)\/(-19) + 138\/(-2622))*8034\/8 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 217440 and -37.\nAnswer: -8045280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:01 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -274, -214, -214, -274?\n\"Answer: -30*x**2 + 150*x - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/(-16) + 12\/32. Let z(q) = 398*q + 59. Is z(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 49*j**2 + 9*j - 24. Let v be m(2). Let r = -188 + v. Solve -2*z - 3 = z - r*c, 4*c + 15 = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*u + 63*u - 2435. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60254 is divided by 30125.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 0*d**3 + 0*d - 3\/2*d**4 - 11\/2*d**2 + 3. What is the second derivative of w(u) wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 12:33 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 7:56 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -39. Calculate the remainder when (-2 - (-15)\/9)\/(4\/(-204)) is divided by 6\/((-4)\/(-24)*g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 8*v**2 - 37*v + 101. Let s be h(9). Calculate the highest common factor of s and 1696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*l + 142. Let v = l + 7. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7*y + 8*y - 2936, -3*y + 984 = z. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*u**6 - 3022*u**4 - u**3 + 7618*u**2 - 129*u + 2?\nAnswer: -14160*u**3 - 72528*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-20)\/(-14))\/(98610\/138054)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixoijjixoxiij. Give prob of sequence jo.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + sqrt(80) + -2*sqrt(80)*-1)\/(-5*sqrt(24)\/sqrt(3)))\/(sqrt(2) + (sqrt(2) - 5*sqrt(2)*6) - sqrt(2) - (sqrt(2) - (sqrt(968) - sqrt(2)))))**2.\nAnswer: 16\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cywwqqyqqwcqyqccqyqq. Give prob of sequence wqy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -60. Let f be 9\/1 + 11 + h. Suppose g - 2 - 2 = -d, 3*g = 3*d - 18. Solve -2*j = d*m + 10, j + m + f = 3*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + 0.1. Let i = -47688 - -47680. What is the fourth smallest value in q, -2, i, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + a + 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 231794422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -c**7\/42 - 11*c**5\/20 - 947*c**4\/6 + 671*c. What is the third derivative of s(z) wrt z?\nAnswer: -60*z**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 45\/8 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {x: 1, u: 1, f: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 4*w + w + (1 - 1 - 2)*(3*w + 4*w - 5*w) + 4*w - 5*w - 5*w)*(-12 + 8*w + 12).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -15.075. Let i = p - 0.075. Let y be 2*2\/2 - 1. What is the biggest value in y, i, -0.11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m. Let o(f) = -4*f + 16. Let z be o(3). Solve -z = -n - m*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 25*y - 21*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r + 20, 0 = -4*s + 2*r + 10. Suppose p + p - 4 = s. Suppose t = p*t - 14. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25719 divided by -1?\nAnswer: -25719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 572, -3, 317, 10, -4 in descending order.\nAnswer: 572, 317, 10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15288040 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 77*f - 2572. Give p(33).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67767*k**5 - 2*k**4 + k**3 + 4*k**2 + 3*k + 128.\nAnswer: 4066020*k**2 - 48*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**7\/21 - 2*a**6\/5 + 11*a**5\/10 - a**4 + a - 83. Let x(r) = 0. What is r?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p + 228. Let j be m(21). Sort 1\/24, -5, j.\nAnswer: -5, j, 1\/24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, k: 1, u: 1}. Give prob of sequence vv.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/11 - 642798*t\/11 + 58436 = 0.\nAnswer: 1, 321398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -3\/4628 (b) -0.2 (c) 58.42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49343 + -542396\/11. Let c be ((-11103)\/(-198))\/(3\/(-2)). Let p = u + c. What is the common denominator of 36\/11 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1656*f - 7124*f**2 + 838*f + 817*f + 3*f**3 to the form k*f + n*f**3 + t*f**2 + d and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 26, 632\/3, -5, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (47 - 55)) + -5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 40*t - 239. Let f be o(33). Let a = -4 - -7. Let v be (-3)\/(-2) + 0 + -1. Put a, f, v in ascending order.\nAnswer: f, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchcwphw. Give prob of sequence cp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 2455.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 600 (base 14) to base 16\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4720608 and 1480?\nAnswer: 23603040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 317711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33505166537\/4800 - -6980243. Find the common denominator of q and 25\/16.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/5))\/c*c\/(c\/(c*c\/c**(3\/4))))\/(c**(1\/13)*c**(-1\/3)) assuming c is positive.\nAnswer: c**(1331\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f - 6922 + 14875 = 10461 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + 3*i**2 - 2*i**2)*(-1465*i + 110*i**2 + 1465*i) as x*i**2 + v*i**3 + g*i**4 + o*i + m and give g.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -438894 divided by 9?\nAnswer: -48766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 641.81 - 642. Which is the third biggest value? (a) s (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1327357081 to 5 decimal places.\nAnswer: 0.13274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 7\/2 (c) 2\/373 (d) 4\/3 (e) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 14*h + 12. Suppose 0 = -5*j - 3*r + 85, 4*r - 10 = 10. Let d be n(j). Suppose d*c - 36 = 9*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 670 (base 8) to base 16.\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1450 + 1066 = 102*q + 2757 + 327 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*a + 26, -1093 = -4*a + 2*c - 1071 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0.09728767\nAnswer: 2.90271233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*y + 10122084 = 1926754. What is y rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:25 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -21*r - 13. Let n be b(-18). Let k = n + 53. What are the prime factors of k?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, a: 2, h: 1, z: 1, m: 4}. What is prob of sequence mmh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 + 0 + 19*z**3 + 12*z**3.\nAnswer: 31*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1786 + 1918 = -14*y + 2*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k + 13. Let m be z(-1). Let v(b) = -9*b + 92. What is the least common multiple of v(m) and (-4)\/8 - (-261)\/2?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*c - 8 = 0, 2*a = -3*a + 4*c - 16. Let h be 2\/(-8) + 30\/(-8). Is a bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*k + 5*v, 3*v + 20 = 4*k + 7*v. Let x = -1576590 + 2618182. Suppose -1408408 = k*n + x. What is n rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*q + 1522*q - 506*q - 509*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6087 = -18*o + 38787. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 2*r + 9 = 0, 3*r = 15*t - 18*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15935126.\nAnswer: 2, 353, 22571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7731*p. Let a(t) be the second derivative of t**4\/6 + 23*t - 35. What is g(a(k))?\nAnswer: 15462*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 3*h - 6*h)*(-4 + 0 + 2)*(-3 - 1 + 2).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.138 - 0.183?\nAnswer: 2.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*h**4 - 341361*h**3 + 1501782*h**2 - 1911276*h + 546072 = 0. Calculate h.\nAnswer: 2\/5, 2, 22753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/1*-1*(-3)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 5*c - 5*c)*(3 - 12 - 9) - 2 + c**3 + 0 + c**3 - c**3 + 1 - 1 to t*c**2 + w + r*c + n*c**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25594 less than -243?\nAnswer: -243.25594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*q + 3*q**4 - 2 + 2*q**2 + 2*q**3 - 9*q + 79*q as i*q**4 + l*q**2 + o*q + u*q**3 + y and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2\/2 + i - 2. Let x be n(-3). Let c be 2\/(3\/(-2) - x). Solve r - c = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 85. Let v(a) = a**2 - 9*a - 7. Let c be v(l). Find the second derivative of 1 - 1 + 29*s + 69*s**c - 102*s**3 wrt s.\nAnswer: -198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8026514841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:26 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 833.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21213 (base 4) to base 15.\nAnswer: -2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:21 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37273792, 0.2, 0?\nAnswer: 37273792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7469 equal to 7469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/2964*52)\/25?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (8 - (75 + -34)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/50 - 13*v**5\/15 - 49*v**4\/15 + 16*v**3\/3 - 12*v**2 + 15. Solve j(l) = 0.\nAnswer: -20, -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) + sqrt(30)\/sqrt(3))*3)\/sqrt(2)*1 + -6*1*-4*(sqrt(5) + sqrt(5)*2))**2.\nAnswer: 30420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-24))\/(6*2\/36)*32. Solve -y*p + 175 = -43*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 135, 112, 73, 12, -77, -200?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371306635.\nAnswer: 5, 2677, 102451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 2*a - 3. Let c(k) = -9*k**2 + 5*k + 7. Let l(m) = -4*c(m) - 9*r(m). Give l(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-110)\/(-6736)) + 42\/(-231). Suppose -14*g + f = -11*g. List the prime factors of g.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -211 + 4448?\nAnswer: 4237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 6*y + 1. Let z(a) = 3*a**2 + 92*a + 226. Let b be z(-28). Let g(s) = s**3 - 1. Determine b*u(v) + 2*g(v).\nAnswer: -2*v**3 - 12*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20560194*i**3 - 282*i**2 - 15*i - 139 wrt i.\nAnswer: -123361164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -21 - (9 - (10 + -13))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -554*s = -138*s + 473*s - 11557 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 3, -1382, 1\/3, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 35. Let l = -1780 + 1780. Give b(l).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z - 8*z**2 + 15*z**2 - 12*z**2.\nAnswer: -5*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -3)*(-1 - 0). Let z = -13 + 12. Let u be r\/(-9)*z*3. Put u, 4, 5 in descending order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x - 3*x + 0*x + 4 as i + o*x and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvr when three letters picked without replacement from {v: 7, r: 1, b: 2}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2851 - -8354. Does 91 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 20*w**2 - w + 13. Let h = -32 + 52. Let c be f(h). Let m(a) = a**3 + 7*a**2 - a + 7. Give m(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -27*i - 23. Let h be d(-13). Calculate the greatest common factor of h and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 26, 8, -40, -124, -250?\n\"Answer: -u**3 - 6*u**2 + 31*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27028a95 + -5?\nAnswer: -27028a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17906.\nAnswer: 2, 7, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -2\/13, 84, 6 in descending order.\nAnswer: 84, 6, 2\/3, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15+-30\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 469 - 229. Let s = 345 - a. Suppose -l = -4*m + 3, -3*l + 8*l - 57 = -4*m. What is the remainder when s is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23333\/50583 + -1\/3891. Which is smaller: k or -0.06?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37406.43 litres?\nAnswer: 37406430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 927868546 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 6*f + 1. Let l(s) = 6*s**2 + 37*s + 5. Let m(z) = 6*l(z) - 39*n(z). Factor m(t).\nAnswer: -3*(t + 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9552 + 27240 = 4740*j - 29712 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 6:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1792) - 2*sqrt(1792))\/(sqrt(64) + (2*sqrt(64) - sqrt(64)) + sqrt(64)))**2 + ((-1 + sqrt(112))*1)**2 + 2.\nAnswer: -8*sqrt(7) + 1063\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430)*3)\/(sqrt(6) - (sqrt(864)*2 + sqrt(864) - sqrt(864) - sqrt(6))) + -6*(0 + sqrt(320))**2 + 4 + 3.\nAnswer: -1913 - 27*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168946 (base 11) to base 16.\nAnswer: -3fa4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 311135 (base 7) in base 4?\nAnswer: 30333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1362.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1325a0 - 2?\nAnswer: -1325a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + 5. Suppose 2*d = v - i, -2*v - 4*d - 32 = -88. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 442402 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(192)*1*-4*-4 + 4.\nAnswer: -256*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -343*q + 7. Let c(u) = -u + 2. Let h(s) = -6*c(s) + 2*l(s). Is h(-1) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 296.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -1608?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -4*u - 13, 0 = -5*c + 5*u + 35. Suppose -c*x = a + 4, 2*a + 0*a + 4*x - 4 = 0. Calculate the lowest common multiple of a and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-689930)\/4*(-170)\/425 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20583665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n - 1. Let y(h) = -160*h + 3. Let q(z) = -243*z + 4. Let w(i) = -2*q(i) + 3*y(i). Let r(x) = x**2 - 8*x + 6. Let f be r(5). Give f*w(j) - 4*s(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 9)*(1 - 1 - 2*t)*(2*t**2 - t**2 - 2*t**2).\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1599051*f**3*x**3 + 4082*f**3*x - 3*f**3 - f**2*x**4 + 94*f**2*x wrt x?\nAnswer: -9594306*f**3*x - 12*f**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5424 + -31?\nAnswer: -5455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6450*f**2. Let b(j) = -3*j + 1113. What is b(y(t))?\nAnswer: -19350*t**2 + 1113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d + 1\/15*d**5 - 1\/6*d**3 + 0 + 0*d**2 + 1\/108*d**6 + 1\/9*d**4. Let r(u) be the second derivative of a(u). Factor r(x).\nAnswer: 2*(x + 2)*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*w**3 - 889*l**3*w - 3*l - 323*w**3 wrt l?\nAnswer: 12*l*w**3 - 5334*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 14. Let d be h(13). What is the biggest value in 2, d, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -184 - -189. Let q(l) = -l**2 - 22*l - 21. Let h be q(-21). Which is the biggest value? (a) h (b) -0.1 (c) y (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 2478*h + 2480*h - 16 = -6*z, 4*z - 11*h + 10 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 3*y - 9. Let t(u) = 23*u**2 + 17*u - 51. Let s(h) = 34*n(h) - 6*t(h). Let z(i) = 2*i**2 + 52*i. Give s(z(v)).\nAnswer: -8*v**4 - 416*v**3 - 5408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9099 + 16048. List the prime factors of x.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**5\/2 + 1683*d**4\/4 + 390561*d**3\/4 - 147402*d**2 = 0.\nAnswer: -152, 0, 3\/2, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/27)\/(6\/(-54)). Suppose -r*s + 5*f = -76, 3*s + 2*f - 128 = -s. What is the highest common divisor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.101 + 0.401. Sort -0.4, 2\/7, z, 0.19 in descending order.\nAnswer: z, 2\/7, 0.19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/6, 4, -1\/4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**3\/2 + 5*k. Let z(p) = 10*p**2. Calculate z(l(n)).\nAnswer: 90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, v: 8, o: 4}. Give prob of sequence ov.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, -24, -41?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 468359989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by -81617.\nAnswer: 109\/81617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2342 + 8420. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 80*i**2 + 87*i**2 + 30*i**2 + 1. Let h be m(1). Let r = h + -109. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -50)\/((-3)\/(-2 + 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/66)\/((-2)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**2 + 3*f - 3. Determine v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952223700 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 437 + 5061 = -2*p - 4*t, 5*p + 13780 = -3*t. Let a = p - -7786. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -1. Let s = r + 36. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsxq when four letters picked without replacement from {q: 1, s: 1, x: 9, v: 2, p: 1, f: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agamnggngxxxxn. Give prob of sequence ma.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10964.2155 rounded to the nearest ten?\nAnswer: 10960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1 - -7)\/2. Suppose -2*p + 120 = 2*f, 0 = 4*p + 4*f - i*f - 249. Let t = 54 - p. Do 2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 578562 and 4194.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 401\/(-40) - 20\/(-50) and -24\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1213 = 5*m, -5*m + 6025 = 5*a - 0*m. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:22 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3554\/(-20) - (-40)\/200. Let m = i + 180. Find g such that 0 - m*g**3 - 1\/2*g + 9\/4*g**2 = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 2)*(0*p + 11*p + 3*p).\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 5. Let m = -129 - -191. Let u = m - 57. Calculate a(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4582*r**2 - r - 4582*r**2 - 367 - 132*r**4 + 3*r wrt r.\nAnswer: -528*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 2. Let q(c) = -1. Let s(y) = o(y) + 2*q(y). Let h be 78\/(-9)*114\/(-4). Let a(v) = -254*v**2 + h*v**2 + 1 - 1. Give a(s(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9396 + 6407. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*d = 46, g - 5*d = -2*d + 31. Let x be 6\/(-9) + g\/(-3). Let n(q) = -q**2 - 9*q - 1. List the prime factors of n(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262\/21 in -3, -3\/19, 5, -3\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00165303 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 - 6*s + 30. Determine l(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a day in hours?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/8)\/((21\/20)\/((-1152)\/1440)).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -49931, -99843, -149729, -199583, -249399?\n\"Answer: n**3 + 7*n**2 - 49940*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**3\/3 - 4*j. Let i(r) be the second derivative of -3*r + 0*r**2 + 0 - 1\/3*r**3. What is i(f(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -6373, -31 in descending order.\nAnswer: 13, -31, -6373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122111312 (base 4) to base 13.\nAnswer: 3a157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2 + -1 + -1. Suppose 0 = -3*b + m - u, -2*m + 4 = 4*b. Find s, given that -72*s - 9*s**2 - s**2 + 6*s**2 - 324 + b*s**2 = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.15. Let m = 64335 - 64335.3. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g + 48 = 0. Let d(s) = -1 - 8*s + g*s + 0. What is d(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5 - 984*y**4 - 122000*y**3 - 235188*y**2 + 606130*y + 720300 = 0.\nAnswer: -245, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*m - 2*m + 11*m**2 - 6*m to o + c*m**2 + k*m and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673 + -286 + -366 + (-102 + 1 - 2).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*6\/(-20)*-2. Solve 0 = d + a*d + 3*o - 17, 4*d - 11 = -o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*c + 4*b**4 - 3*b**3*c + 5*b**3 + b**2*c + 398*b*c wrt b?\nAnswer: -24*b*c + 96*b - 18*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7252493, -14504986, -21757479, -29009972, -36262465?\n\"Answer: -7252493*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963450 rounded to the nearest ten thousand?\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/1320*-22*6\/(-267).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b - 1. Let c = -489 + 490. Let l(p) = -6*p - 1. Let u(g) = c*l(g) - 5*a(g). What is u(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20959, -41633, -62307, -82981, -103655?\nAnswer: -124329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64869 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 3. Let j be (3\/12)\/((-3)\/(-12)). Suppose 6*g - 17 = j. Calculate the smallest common multiple of i(0) and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -6*(sqrt(70) + sqrt(70)*1 + sqrt(70))) + (-1*sqrt(70)*-1 - sqrt(70)) + sqrt(70))\/(sqrt(110)\/((sqrt(33)*-2)\/sqrt(3))).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -271 (c) 2\/11 (d) -2 (e) 0.357 (f) -4 (g) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -671*i**2*v**3 - 15*i*v - v**3 - 2*v**2 wrt i?\nAnswer: -1342*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -9 + 24. Solve -j*x - r = -10, 3*r + 4 + 2 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -101\/99 - -10\/9. Let x(t) be the first derivative of 0*t**3 - 1\/33*t**6 + 0*t**5 + 0*t - 3 - s*t**2 + 1\/11*t**4. Factor x(o).\nAnswer: -2*o*(o - 1)**2*(o + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.68749 times -0.06?\nAnswer: 0.4612494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*j + 2896, -4*z - 1543 = -3*j - 5882. Does 24 divide j\/(-15) - (-18)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -272*p**2*x + 3261934*p**2 - 6992*p*x wrt x.\nAnswer: -272*p**2 - 6992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88 - (31 - 21 - (5 - 1))) + (-88 - -85)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*a = -27978 + 24637 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 509040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 217382527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 227, 368, 515, 662, 803, 932, 1043?\nAnswer: 1130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 299299986?\nAnswer: 299299986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-2*2*1*-7. Is s equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, -4, -13, 3.\nAnswer: -82, -13, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + (sqrt(396) - (sqrt(396) + 0))**2 + 4 + (sqrt(396) + 1)**2 + 0 - ((sqrt(88)*2*2)\/((sqrt(8) - -1*sqrt(8) - sqrt(8))*2))**2).\nAnswer: 12*sqrt(11) + 354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -1473*q + 1470*q, -4*q + 12 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 61.72 and -2413.\nAnswer: -2351.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -311413 (base 5) to base 15\nAnswer: -3073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76416645 by -2411.\nAnswer: 31695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 3}. Give prob of picking 4 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minus -15?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 107\/6. Let f = 1 - 2. Let z = -4428\/5 - -886. What is the closest to z in f, -5\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100 (base 3) in base 8?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6235513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 186211*y**2 + 0 + 75*y - 186208*y**2 - 5. Let u(w) = -4*w**2 - 113*w + 7. Determine -7*h(x) - 5*u(x).\nAnswer: -x**2 + 40*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116214158, -116214156, -116214154, -116214152?\nAnswer: -116214150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 2*i - 3*i)*(-4 + 2 - 10)*(-4*i + 4*i + 2*i) as p + d*i**2 + o*i and give d.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -v - 78. Suppose 5*w = -13 + 48. Let m = v - w. Solve m*q = -2*h + 3*q + 6, 0 = q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-110) - 342\/4730. Which is greater: -2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 7*s + 1. Suppose -7*x = -s*x + 4. Are 2\/163 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11211 and 444?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -380.9414 times -0.11?\nAnswer: 41.903554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 635, 1359, 2081, 2801, 3519, 4235, 4949?\n\"Answer: -s**2 + 727*s - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/88 and 113\/308.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -52298?\nAnswer: 52293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2426, 2430, 2434, 2438, 2442, 2446?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3062900)\/(-126450)*9\/(-2).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62927*a = 62918*a + 2043. Solve -28*j = -115 + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 - 3*m**2 + 3*m + 3. Let n(i) = -8*i**3 - 13*i**2 + 13*i + 13. What is 26*g(s) - 6*n(s)?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.627087 plus -7?\nAnswer: -17.627087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d - 5*z + 970, 5*d = 4*z + 961. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejju when four letters picked without replacement from {j: 2, c: 4, e: 3, u: 1, v: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 69, -3.\nAnswer: -3, 16, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 9*x + 24137 + 96139 = 0. List the prime factors of x.\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19596*j**2 + 26136 + 387\/2*j**4 - 5940*j**3 - 792*j - 3\/2*j**5 = 0.\nAnswer: -2, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/68 + 5 + -6.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 8*u**3 + 4*u + 13*u**3 - 4*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*-1)\/(-5).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3384 in -0.4, -15, 0.8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2239.082 and 4.\nAnswer: 8956.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(1116352*w**3 - 2286930*w**3 + 1087706*w**3) to q*w**2 + b + k*w**3 + p*w and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 792570 to the nearest 10000.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*l + 669 + 10*l - 67*l - 700.\nAnswer: 271*l - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + (6*sqrt(99)*2 - sqrt(99))\/(sqrt(81)\/(-2*sqrt(9)) - sqrt(9))).\nAnswer: -9 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -624\/3641?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81515379 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 5. Let k = 891.953 - -2.047. Let g = -892 + k. Which is the nearest to j? (a) -3\/8 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.093 and -0.0014373.\nAnswer: 0.0001336689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (42 + -35 - (-4 + 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 1b90?\nAnswer: -1b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 47 = -4. What is the smallest value in 8, 2\/9, 1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h - 11 + 3*h - 4*h. Suppose -3*o + 207 = -3*g + 6*g, -2*g + 6 = 0. What is the remainder when o is divided by d(15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 31 (b) -30.5648 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**3 - 3*i**3 - 7*i**3)*(3*i + 0 + 0).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**3 - 771783*i**2 - 3087168*i - 3087180 = 0. Calculate i.\nAnswer: -2, 257265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6158, 24635, 55428, 98537, 153962, 221703, 301760?\n\"Answer: 6158*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 9*p**2 + 15*p + 3. Give q(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 545 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2964, 8106, 16674, 28668, 44088, 62934?\n\"Answer: 1713*f**2 + 3*f + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 615110 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let h be 0 + 4\/(0 + -2). Let m = 0 + h. Let z(p) be the second derivative of p**3\/6 + 2*p + 33. What is m*z(f) + c(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72801510126 and 0.7.\nAnswer: 72801510126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 6 - 4. Suppose t*c + 10 = 0, i + 3 - 4 = c. Let p(f) = -f - 3. Let z(y) = -2*y - 7. Determine i*z(w) + 9*p(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*r**2 + 1 - 105 + 212*r**3 + 31*r**2 - 69 wrt r?\nAnswer: 636*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010120011112 (base 3) to base 2\nAnswer: -10010010110111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/3627 + 50768\/18135. Find the common denominator of f and 99\/920.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 9*r - 7*r + (1 + 1 - 1)*(2*r + r - 2*r) + r - 2*r + 4*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14156463 (base 9) in base 11?\nAnswer: -3a55243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 16765925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.04422, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, -2, 24, 0, -11, 4 in decreasing order.\nAnswer: 24, 7, 4, 0, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6.9. Let d = c + -1.99. Let z = d + -0.109983. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8809447 = f - 5*v - 2102452, -5*v + 13413995 = -2*f. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 - 494. Solve 0 = 4*n - 11 - q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -22*c**2 - 6*c - 40. What is g(-4)?\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -452483?\nAnswer: 452502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a**3 + 3*a**2*k - a*k**2 + 12*a*k + 293*k**2 - 2*k + 2 wrt a?\nAnswer: 21*a**2 + 6*a*k - k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1. Let t(r) = r - 16. Let c(p) = 4*i(p) - t(p). Let u be c(17). Suppose u*d - 7555 = -5*a + 5*d, 3*d = a - 1511. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -604 and -121854638333.\nAnswer: -121854638937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24729 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/1457, 4, -1?\nAnswer: 1\/1457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 157, 181, 183, 169, 145?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let u(g) = 2*g - 2. Give -5*d(t) - 3*u(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/90 and ((340\/32 - 8)\/36)\/((-6)\/(-88)).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3954123 nanoseconds in microseconds?\nAnswer: 0.0003954123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-389 + 8*u + 389)*(2*u - 8*u + 0*u).\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = j - 578, -2*d - 3*j - 154 = -736. Let r = 497 - d. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w - 7*w - w + 25*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + 0*u**4 + 0*u**3 + 9\/20*u**5 - 4*u - 7*u**2. Differentiate h(w) wrt w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.47 - 0.47. Let p = 24 - r. Let i = -1.8 - -2. What is the nearest to -1\/3 in i, -5, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 6*a + 4. Let m(k) = 635*k + 5 + 2*k**2 - 1251*k + 611*k. Determine -7*m(i) + 6*v(i).\nAnswer: -2*i**2 - i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -4\/5*j**2 + 2\/15*j**3 - 3 + 8\/5*j. Factor p(d).\nAnswer: 2*(d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6922 + 2482 - 1642)*(0*n + 2*n - n)*(1 + 0 + 4) to the form k + r*n and give r.\nAnswer: -30410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, -0.298, -0.5 in increasing order.\nAnswer: -228, -0.5, -0.298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 9. Let p be (-8)\/s*9\/6. Suppose p*r - 35 = -r. What is the remainder when 20 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 5*j - 128. Solve 2*n + 2*k = j*k - 10, 4*n + 2*k - 20 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 - 67*r + 65*r + 2*r**3 - 4*r**3 + 2*r**4 as y*r + h*r**3 + z*r**2 + m*r**4 + x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u + 3*u - 2*u**3 + (-239 + 6*u + 239)*(-6*u - 6*u + u)*(-2 + 2 + u) as n*u**3 + a*u + q + d*u**2 and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 2\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 2. Let y be f(5). Let g be ((-4)\/y)\/(14\/21). What is the least common multiple of g + (80\/4 - 2) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*o**4 - 715*i**3 + 20521*i**2*o**4 + 18*i**2 + 2 with respect to o.\nAnswer: 8*i**3*o**3 + 82084*i**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*j, -6*k + 4*k + j + 11 = 0. What is the second derivative of -3*m + k*m**3 + 4 - 4 wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t + 33*t - 19*t = 0. Suppose l - 3*l - 5*d + 350000 = 0, t = -l - 4*d + 175000. What is l rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1473 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1122.\nAnswer: -2\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4 - 3619777*r**3 - 96728069*r**2 wrt r?\nAnswer: -48*r - 21718662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3451 times 5\nAnswer: -17255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*(0 + sqrt(3))*-6 + -4)**2.\nAnswer: -216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42013 is divided by 94.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 34e365 (base 16) to base 9\nAnswer: 6462515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5558, 11115, 16674, 22235, 27798, 33363?\n\"Answer: m**2 + 5554*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 take away -556915.229?\nAnswer: 556971.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 67*m**3 + 6*m - 5. Let y(w) = -67*w**3 - 7*w + 6. Let d(v) = -6*l(v) - 5*y(v). What is the units digit of d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p - 8. Suppose -4*n = -12, j + 2*n - 26 = -3*j. Let d(z) = -5*z + 7. Let y = -121 - -126. Suppose 34 - 14 = y*s. What is j*d(h) + s*v(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = 13*x + 24. What is the closest to -1 in x, 2\/13, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -80*z**3 + 2*z**2 + 5*z + 3. What is the remainder when n(-1) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**5 - 10*s**4 - 10*s**3 + 20*s**2 + 35*s - 14. Let m(k) = 0. Calculate k.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8307 - -8308. Which is smaller: -1\/10740 or k?\nAnswer: -1\/10740","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 538 + -66. Let k = w - 466. Which is the nearest to 0? (a) -1 (b) 0.3 (c) 2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((7488\/(-135))\/16)\/((-116)\/18). Which is greater: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -156?\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 223\/5 + 28\/70. Suppose -8*o - 2*o = -750. Calculate the highest common divisor of o and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Let u = -1.2 + 0.2. Let p = g - u. Which is the closest to 0.1? (a) -5 (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-32)*4\/(-3). Suppose -4*r + 8 - 24 = 0. What is the closest to 2\/7 in 0.4, h, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -141*b + 184. Let f(t) = -281*t + 370. Let r(p) = 4*f(p) - 9*v(p). Differentiate r(z) with respect to z.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 7. What are the prime factors of ((-60)\/16 - 1)*c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2362.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*l + 13*l = -785*l + 48581 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 726251941 to the power of 1\/2, to the nearest integer?\nAnswer: 26949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4010944 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2237647 to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r + 35. Let o(f) = -3*f - 20. Let x(a) = -4*n(a) - 7*o(a). Let l(p) be the second derivative of -p**3\/3 - p. Give l(x(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (9306\/44)\/(-47) - (-3 - (-8 + 6))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**18*j*j**7\/j assuming j is positive.\nAnswer: j**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 13 = -v, v - 3*f + 12 = -0*f. Suppose 328*s = 223*s - 420. Sort v, 1, 5, s.\nAnswer: v, s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + l = -2*l - 24, 4*g + 3*l = 4. Let w = 2 + 1. Suppose 0 = g*y + 3*z - 68, -3*y + 7*z + 26 = w*z. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 10*l**2. Let j be y(10). Suppose -14 = -2*f + 4*o, j = -3*f + f - 2*o - 4. Calculate the greatest common factor of 9 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 - 665*h + 395. Let u(w) = 2*w + 4. Let z(d) = b(d) + 6*u(d). What is the first derivative of z(n) wrt n?\nAnswer: -12*n**2 - 653","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 24242\/1105)*55*(-18)\/(-396).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*p**3 - 30*p**3 - 37*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20962.\nAnswer: 2, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20107 divided by 227.\nAnswer: -20107\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 234012 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 o(g) be the third derivative of -g**8\/84 - 8*g**7\/105 - 2*g**6\/15 - 48*g**2. Let o(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-35)*11*40\/(-16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*x = -4*o - 168, 165 = -3*o + 5*x. Let i = -58 - o. Solve -3*t - i = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/16 - 14\/(-8). Let n(u) = u**2 - 2*u + 3. Let l be n(c). Suppose 5*z - 42 = -l*s, 5*z + 0*s + 4*s = 41. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, h: 1, a: 1, p: 5}. What is prob of picking 1 p, 1 h, 1 x, and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -315, -631, -1009, -1413, -1807, -2155?\nAnswer: -2421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21514 - -1?\nAnswer: -21513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 6:09 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2. Let b(x) = -9*x**2 + x. Let v(u) = b(u) + 6*g(u). Find the second derivative of v(p) wrt p.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.14, 3\/4, -2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18156106.8ms to days.\nAnswer: 0.210140125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/7228 and -69\/3892.\nAnswer: 50596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 11*k + 4. Let s(u) = 7*u**2 - 5. Let b(d) = -d**2 - d + 1. Let m(r) = 6*b(r) + s(r). Let z be m(8). Solve z = 4*n + k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 4. Let k be ((-323)\/y)\/((-8)\/24). Let g = k + -473. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, -85, -194, -347, -544, -785?\n\"Answer: -22*g**2 + g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -51) + (1 - 1). Let y be (-2)\/(-10) + (-27)\/(-15). Suppose 2*h = 2*p - 70, h = y*p + 3*h - x. Round p to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*m + 1 = -6, -5*z - 5*m = 0. Let k = -31 + 34. What is the lowest common multiple of k and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465683?\nAnswer: 457, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (187\/(-748) + (-74)\/(-40))\/((-4)\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 22*k**2 + 27*k - 123. Calculate p(10).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 10. Let b = 5 - c. Suppose b*v + 4*j = -v, 0 = 2*v + 4*j - 8. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2583\/(-42))\/41)\/((-15)\/16).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21794329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19785859669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-12) - 38\/(-8). Let m be 3*(v - 2)\/2. Let s = 47 + -30. Solve -s = -5*p - 3*d, -3*p - m*d = p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95596 + -134318.12.\nAnswer: -229914.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -26 * 9\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 36*i**3 - 7*i**2 - 43*i - 7. Let v(c) = 18*c**3 - 4*c**2 - 21*c - 4. Let g(h) = 7*v(h) - 4*y(h). What is the second derivative of g(q) wrt q?\nAnswer: -108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3 + 534*a**2 + 1065*a - 155. Factor y(f).\nAnswer: 3*(f + 1)*(f + 355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*((-24)\/(-80))\/((-9)\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**2. Let d(a) = -2*a. Let b(o) = 39 - 20 + 2*o - 19. Let q(l) = -4*b(l) - 5*d(l). Determine q(g(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18690*r**2 - 18669*r**2 + 37365*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 11 + 0*k**2 - 5.\nAnswer: -2*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -618.25 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5550348, 5550199, 5550050, 5549901?\n\"Answer: -149*z + 5550497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0836 rounded to three dps?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + -1 + 1*(3 + (1*sqrt(363) - sqrt(363) - sqrt(363))))*-1)**2.\nAnswer: -154*sqrt(3) + 415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4701304549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 5. Suppose 0 = i + c + c + 3, 3*c + 11 = f*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*o**2 - 1685*o - 24610.\nAnswer: -5*(o + 46)*(5*o + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218\/3 + 72. Let c = 15 - 15. What is the second smallest value in p, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 8. Let t(c) = -c**2 - 6*c - 6. Let b be t(-4). Suppose -34 = -b*k - 0*k + 4*h, -35 = -k - 4*h. Let v = -17 + k. What is j(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56955.\nAnswer: 3, 5, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30128 + -30127.988688. Round n to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118687 (base 10) to base 14.\nAnswer: -31379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 10*s**3 + 15*s**2 + 20*s - 20.\nAnswer: -5*(s - 1)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 2*r + r)*(2*r - 7*r + 2*r) + 4*r - 4*r + 4*r**2)*(0*r**3 + 2*r**3 - 5*r**3).\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 22\/3 + -5)*(-162)\/351.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523 a factor of 2092968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 4) + (-3 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320 + 324. What is the first derivative of -5 + j*o**2 - 13 + 2*o + 29*o**2 - 25 + 12*o**2 wrt o?\nAnswer: 90*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from xpslspyspzszssy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvkkvvk. What is prob of picking 1 k and 3 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.435 + 0.335. Let i be ((-7)\/(-70))\/((-1)\/(-2)). Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(847))*-6*-4)**2.\nAnswer: 487872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -89*j**2 + 106*j + 169. Calculate s(-3).\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:02 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from jjjaahjajwhja.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 391 - 325. Let i(v) = 9 + 35*v - m*v + 33*v - 9. Let o(x) = -127*x. Calculate i(o(f)).\nAnswer: -254*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -3 (c) -8373 (d) -0.1 (e) -0.2 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -37. Let n be 11\/(-3 + (-8)\/y). Solve -2*g + 23 = 5*r - 6*g, 0 = -3*r + g + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = -2*q + 4*q, -1 = -q - 2*w. Suppose -q*o - 39 = -4*o - r, 2*o + r = 81. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -9*o**2 - 298*o - 23. Calculate the remainder when 593 is divided by g(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 66. Let a(w) = -w + 4. Let g = 1 - 7. Calculate the lowest common multiple of z and a(g).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*d + 106*d - 93*d + 99*d + 109*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030896543 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9524 plus 17?\nAnswer: 9541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -21*k + 30*k. Let t(n) = -n**3 + 5*n**2 + 7*n - 2. What is t(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -4, -15\/8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48843.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 198 + 43 + 115 - l - 92 + 134. List the prime factors of z(-31).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**2 - z + 0*z**7 - 1\/56*z**8 + 0*z**3 + 0 + 0*z**6 + 1\/12*z**4 + 0*z**5. Find the third derivative of r(f) wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 35 - 2 + 2*t - 14 - 9. What is r(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/739 + 2209\/2956. Which is the nearest to -1? (a) 0 (b) -650\/7 (c) r (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 5*n**2 + 6*n + 6. Let o be g(-4). Is (12\/(-9))\/(o\/18) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -497658\/19 - -26195. Calculate the common denominator of -89\/228 and t.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 65, -22517, -83819, -203203, -400031, -693665, -1103467, -1648799?\n\"Answer: -3227*p**3 + 2*p**2 + p + 3289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*f + 24710 - 27272 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1066\/9 (b) -0.5 (c) -128 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1244, 2475, 3704, 4937, 6180, 7439?\n\"Answer: p**3 - 7*p**2 + 1245*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -636*m**3 - 4*m**2 + 206.\nAnswer: -3816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z - 9*z + 11*z as c + u*z and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*d, -5*g + 58*d - 62*d - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s + 5*s - 280 - 253 = -85 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5*w + 3 = 0, 3 = -f - 0*f - 5*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*y + y**2 - 2 - 2*y**2 - 34*y - 5*y**3 in the form i*y**2 + t*y**3 + o + b*y and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuddduquuu. What is prob of picking 1 u, 2 d, and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*c**2*f - a**2*c*f + 2*a*c*f - 2*a*c + 42*a*f + 5529*c**2*f + 19*c wrt c.\nAnswer: 4*a**2*f + 11058*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7788 and 2837736.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 15*a**2 + 15*a - 17. Let y be d(-16). Let w(l) = 1. Let p(h) = h - 3. Determine y*p(b) - 4*w(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 68\/11, 4\/33, 42, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-23))\/(g\/g**(-2\/9)) assuming g is positive.\nAnswer: g**(-209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4532 - -4535. Let g(b) = 3*b**3 + b - 2*b**2 - 2 + 0*b**3 - 2. What is the tens digit of g(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -209 + -3?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (128 + 8*a - 128)*(a**2 + a**2 + 0*a**2)*(18*a**2 - 23 + 23).\nAnswer: 288*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*p - 136*p + 118286. Does 49 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8016 + -8011. Let p(t) be the second derivative of 0 + 0*t**2 + 3\/2*t**4 + 7\/20*t**s + 0*t**3 + 29*t. What is the third derivative of p(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2333238627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + j - 2. Let x be l(-2). Suppose -3*g + 5*n = -100, x = -2*n - 2*n + 4. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i + 3. What is the units digit of 2\/(-3)*i*15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -242, -1315, -4226, -9893, -19234, -33167?\n\"Answer: -153*p**3 - p**2 + p - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -14, 2\/7, -7, -0.56114?\nAnswer: -0.56114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*g + 2 + 27*g**2 + 22*g + 6*g - 7*g - 1 to the form w*g + o + i*g**2 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-801)\/(-89) + 3 + -13)\/(((-1050)\/8)\/(-21))?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -20, -y - p - p - 88 = 0. Let t = y - -399\/4. Factor 0 - 1\/2*u + t*u**2.\nAnswer: u*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578202739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (68 - 26)\/((-189)\/(-54))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 18*x - 39*x.\nAnswer: -46*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24485 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 538*u + 10. Let h(p) = p**2 - 540*p - 8. What is 4*d(j) + 5*h(j)?\nAnswer: j**2 - 548*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1.4. Suppose 0*m - 2*m = 5*w + 31, -25 = 5*w. Which is the closest to 2\/5? (a) -5 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*q = 5, d - 5*q = -3 - 2. Let x = d + 5. Suppose h - 4 = x, 2*o + 2*o = -h + 20. What is the least common multiple of 11 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/5)*m**(4\/3)*(m\/m**(-2))**(-2) assuming m is positive.\nAnswer: m**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2 + 2*n - 3. Let p = 5 - -1. Suppose q = p*q - 10. Let s(u) = u**2 - u + 1. Calculate q*z(t) + 5*s(t).\nAnswer: t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q - 13. Let d be x(9). Suppose 0 = -3*s + 2*y + 6, -2*s - d*y = 3*s + 15. Suppose s = 4*h - 1 - 11. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -75. Suppose -s*f + 3202 = b, b + 3*f + 9594 = 4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 - 1. Calculate the remainder when 53 is divided by b(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338917 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1062 by -531.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 + 0)*(-i**4 + 0*i**4 + 0*i**4) - i**3 - 3*i**4 + i**3)*(2 - 4 + 5) - 34*i**4 + 9*i**4 - 7*i**4.\nAnswer: -47*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6254635 centuries to years.\nAnswer: 62.54635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*t - 54 - 161 = 0, -5*t = -5*d + 265. Let q be 32\/d*3\/(-2). What is the tens digit of (52 - -2) + (0 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 643.952 and -0.5.\nAnswer: -321.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -35, 10, -2 in increasing order.\nAnswer: -35, -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 - 221. Let v = -70.6 - n. Round v to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -86. Let j be 0 + (-46)\/(-11) + z. What is the nearest to -3\/2 in -2, j, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azy when three letters picked without replacement from {x: 1, h: 5, c: 2, y: 2, z: 1, a: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 - 92*j**4*l + j*l - 14*l + 2 wrt j?\nAnswer: 40*j**3 - 1104*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8264463 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 10:09 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -166832340 to the nearest one hundred thousand.\nAnswer: -166800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 17*w - 1. Let z be h(-1). Let f = -20 - z. Put -0.1, -4\/5, f, -5 in increasing order.\nAnswer: -5, f, -4\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -154.7. Let z = -12 + q. Let n = z + -3. What is n rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/62 not equal to -217\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -186 (base 13) to base 3\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54341 is divided by 1546.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 88*q - 123*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 16*l + 3. Let w(x) = -x**2 - 5*x - 1. Let h(r) = -2*d(r) - 7*w(r). Let b be h(-2). What are the prime factors of 6\/((-2 - -1)\/b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g + 2*g + (-3 + 6 + 6 + (0 + 1 + 1)*(0 + 0 + 2) + 1 - 3 + 0 - 4 + 0 + 2)*(0*g - 2*g - g).\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204439969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 0)*(-3 + 4 + 1) - 2 - 1 + 0 - 1 - 1 + 3 - 4 + 1 + 1 + (-1 + 2 - 2)*(-2 + 1 + 0) + 2 - 2 + 1 + 5 + 0 - 2)*(-d**2 + 3*d**2 + 0*d**2).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, -5, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + c + (-1 - c + 1)*(-3 - 2 + 3) + 1 - 1 + 2*c + 2 - 6*c - 4 + 4*c as q*c + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17987.27 take away 6?\nAnswer: 17981.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + (756\/648 - 340\/24)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.4 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223012033 (base 5) to base 2.\nAnswer: -11110000100010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:13 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -69351416459.8279 and 1.\nAnswer: -69351416458.8279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -472, 7, 0 in decreasing order.\nAnswer: 7, 0, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - 393. Let z = -439 - u. Solve -z*l - 21 = 4*f, -27 = 2*l + 2*l + 5*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x + 125. Let y be b(9). What is the greatest common factor of 98 and y?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.052 (b) 1\/6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 18 = 4*g. Let i be -2 + g*16\/(-6). Suppose -i = -m + 1. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 2 (c) -2 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 8 + -2 + 0. Suppose q - 5*h + u = 5*q, 5*h - 5 = 5*q. Suppose -3*t + 5*z = -377, 4*z - 222 = -q*t - 2*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a - 5*a + 2*a + (1 - 2 + 3)*(2*a - 3*a + 3*a) as j + h*a and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 119. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3914713 is divided by 98.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**5\/20 - n**4\/3 - n**3 - 5*n**2\/2 - 3*n. List the prime factors of f(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.94 + -0.06. Let v = 13 - 12.97. Let g = -0.17 - v. Put -5, h, g in descending order.\nAnswer: g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**3 + 16*d**2 + 7*d - 6. Let f(j) = -9*j**3 - 17*j**2 - 7*j + 1. Let w(i) = 2*f(i) + 3*g(i). What is w(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28018044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45540939 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**4\/12 + 3*l**3 + 36*l**2 + 32*l + 4. Let o be q(-12). Solve -12*g + 7 - 19 = o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774877 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-143)\/(-55))\/13*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6802.078 micrograms?\nAnswer: 0.006802078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.8 (b) 4 (c) -1\/5 (d) 0.008 (e) -0.044 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1881 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 7.6 (c) 1 (d) 5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from gkgkkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 205721936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + 24 + -37 - (0 + 2).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 10*m + 32. Let c be t(5). Calculate the common denominator of -59\/3 and (-18)\/c*1102\/(-57).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3523 + 0?\nAnswer: -3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (22 - 125)\/((-21)\/5 - -2). Let v = -47 + g. Let z = 11 + -4. Which is the second biggest value? (a) -0.5 (b) z (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y - y)*(-229*y + 81*y + 29*y)*(0 - 3 + 4).\nAnswer: 238*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 795020.37 and 0.2.\nAnswer: 795020.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*o**3 + 9*o**3 - 44*o**3 + (3*o + o - 3*o)*(0 + o**2 + 0) - 30*o**3 - 145*o + 145*o.\nAnswer: -137*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 5*d**2\/2 - 25*d - 302. Determine g(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 1 (c) 5 (d) -776 (e) -22\/27 (f) -1\/4 (g) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 1\/6*q**4 - 2*q**2 + q + 0 + q**3. Let y be f(-5). Calculate the greatest common factor of y and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 980\/15 + 2\/12*-2. Calculate the greatest common factor of b and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 848 + -497. Calculate the remainder when k is divided by 73.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1023043 + 4?\nAnswer: 1023051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169 = 7*d + 43. Suppose -d*m + 285 = m. Solve -b = -4*b - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*(l\/(l\/l**4)*l)\/l*l))*l\/(l\/(l**7\/l))*(l\/l**(7\/2))\/l*l**10)**(-31) assuming l is positive.\nAnswer: l**(-1147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2732, -2729, -2726?\nAnswer: -2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*f**4*l**2 - 58*f**3*l**2 - 5*f*l**2 + 4*f*l - l**2 - 28*l wrt f?\nAnswer: 588*f**2*l**2 - 348*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {h: 1, c: 6, b: 1, z: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(2 - 0) + -42 + 40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 - 6*v - 2. Calculate a(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 + 32*o**3 + 24*o**2 - 160*o + 100.\nAnswer: 4*(o - 1)**2*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 134*r**3 - 5*r - 970. Let p(t) = -161*t**3 + 6*t + 971. Determine -5*p(j) - 6*x(j).\nAnswer: j**3 + 965","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bubbvwwbuv. Give prob of sequence vvuw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 17*f + 103. Let c be d(0). Let z = c - 98. Solve -z = -2*r - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(1 - 3) + 1. Let b be 5\/(3 - (5 + -3)). Suppose b*y - 12 = 2*y. Solve -y*z = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 3*h = -31, -4*k + 5*h + 641 = 682 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 - 100*q**2 - 49 - 52 in the form o*q**2 + y + t*q and give o.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.152 + -0.17. Round w to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c**3 - 42*c**2 + 11*c + 6405 wrt c?\nAnswer: -18*c**2 - 84*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 10698 = -11128. Which is smaller: 1558 or y?\nAnswer: 1558","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*n - 9. What is the tens digit of 2\/(152\/74 - n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -476\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {i: 9, l: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8838489767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010 (base 2) to base 15.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 431440230 (base 5) to base 8\nAnswer: 6761355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15638620*q**3 - 43802752?\nAnswer: -46915860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c + 20*c - 35*c - 249*c**2.\nAnswer: -249*c**2 + 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -75117 (b) 0.1 (c) 110\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -8. Let a = l + -2. Put 2, a, -3 in descending order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y - 25, 3*s = -3*y - 48. Let k(d) = -44*d - 133. Let f be k(-3). Let w be ((-2)\/(-8))\/f - s\/4. Solve -4*z + 3 = -w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 415*m + 265*m + 874*m.\nAnswer: 1554*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 153892847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-548)\/(-6165))\/(20\/18)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/(-6) - ((-82422)\/(-513) - 160)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 43*z + 2. Let i be b(2). Suppose m + 57 + 53 = 5*g, 3*m - i = -4*g. Calculate the smallest common multiple of 11 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*j - 180 + 198, -9*b + 3*j + 27 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + l - 6 = 0, -5*i - l + 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 32*q + 27*q = 10, 4*q = -4*m + 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-50) + (-2568104)\/(-50) + -2. What is x rounded to the nearest 1000?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 9*w**2. Let x(h) be the second derivative of -h**4\/12 - 2*h**3 + h**2 - 9*h. Let y be x(-12). Let p(r) = -12 + 12 + r**y. Determine p(t(n)).\nAnswer: 81*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3716 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((0 + sqrt(704))*5 - -1*(-1 + sqrt(704))) + 1*((sqrt(704) + 1*sqrt(704))*-1 - sqrt(704)) + 5)*-2)**2.\nAnswer: 768*sqrt(11) + 25408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 2*r**2 - 1. Let z be w(-1). Let t = z - -4. What is the nearest to t in -3\/8, -2, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-20))\/((-1115)\/(-11150)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/12 + 5*h**3\/3 + 15*h**2\/2 + 6*h. Is w(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z + 3*q = -43*z - 753, 4*q - 1516 = -4*z. What is the highest common factor of z and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220222202010 (base 3) to base 14.\nAnswer: -1c8d10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/6 + t**2\/2 - t\/2 + 1\/6.\nAnswer: -(t - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 6*j**2 + 1. Let f be q(6). Suppose 0 = 3*k - o - 8 - 2, -2*k = -4*o - 20. Solve 0 = -k*p + f + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36277369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - 2*f + 8, -4*u - 3*f - 7 = -19 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/21)\/1)\/(-9*(-25)\/(-27675)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*h = -20, 87*v - 89*v = -5*h - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 9:57 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i. Let w(u) = -40*u - 177881. What is w(m(h))?\nAnswer: 200*h - 177881","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1294 from 0.42.\nAnswer: 0.5494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39047, -78096, -117145?\nAnswer: -156194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 53. Let h(f) = f + 4. Let k be h(0). Suppose 32 = 3*y - z, 1 + k = 5*z. What is the remainder when o is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let t(k) = k + 1. Let g(x) = x. Let d(i) = -2*g(i) + t(i). Let s be d(-1). Solve 4*j + 18 - s = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 4:39 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -419, -842, -1261, -1676?\nAnswer: -2087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (56\/8)\/(-7) + -1. Let h be (5 + -2 - (-6)\/s)*1. Solve -6*c + 30 = -h*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*o + 829*o**2 - 312*o**2 - 1471*o.\nAnswer: 517*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (342\/(-418)*-11*(-4)\/54)\/((-6)\/207)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -2*p + 204. Let o be p\/16 + 3\/(-4). Solve -o*x = -x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - 5 - 14)*(-f**3 + 0*f**3 + 8*f**3) to the form p*f + j*f**3 + m + h*f**2 and give j.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2*z**3 + 4*z**3 - 24*z**3).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 191080*i**2 + 2281972900*i.\nAnswer: 4*i*(i - 23885)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 52. Let i be o(0). Let t = i + -29. Suppose 0 = p + 4, 3*p = 3*g - 4*g. Calculate the remainder when t is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 + 1167*w**3 + 32667*w**2 + 123753*w - 1583190 = 0.\nAnswer: -359, -21, -14, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 23*b**2 + 23*b - 16. Let h be r(22). Let u be h\/7*9 - (-4)\/14. Suppose 5*o - u = 7. Solve 0 = o*i - t - 7, 3*t + 0*t + 15 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26953046, -53906084, -80859122?\n\"Answer: -26953038*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1146 - 1146 + 1780051*r**2.\nAnswer: 1780051*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-7) - (-6)\/7. Is (250 - (-4)\/4)\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 25*q - 570749. Let s(r) = -3*r. Determine s(m(w)).\nAnswer: -75*w + 1712247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(936) + sqrt(936) + sqrt(936)*3 + sqrt(936))*4*6)\/(3*sqrt(72) - sqrt(72) - sqrt(72) - (sqrt(180)\/sqrt(10) + sqrt(2))).\nAnswer: 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-15364)\/(-252) + (66 - 8312\/126)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 15486?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -2\/9 (c) -2\/7 (d) 106\/15 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*j = 2020*j - 108659 + 388379 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-356)\/3382 - (-1452)\/76?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*u**2 + 40*u**2 + 8972*u**3 - 9231*u**3.\nAnswer: -259*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 114*v**2 + 20*v - 69. List the prime factors of n(3).\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -820*x - 32. Let b be f(-1). What is the greatest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26198.88 meters in millimeters?\nAnswer: 26198880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44\/5 of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17861 + 8928 + h**2 + 8930.\nAnswer: h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 317171341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -210, -208, -204, -198, -190, -180?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 23, 15, 3, -13, -33, -57?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 2*i. Suppose -4*o - 6*w + 5*w = -13, 5*o - w - 14 = 0. Suppose i = 2*k - o - 13. Solve 0 = -4*c + s, -2*c - 2*c + 3*s = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -673, -2251, -5323, -10387, -17941?\nAnswer: -28483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 0*h)*(-h**3 - 5*h**3 + 5*h**3) + h**4 - 4*h**4 - 3*h**4.\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -330437*o**2*r**5 - 4*o**2 - 157*o*r**4 + 36*o*r - 286288*r**2 wrt r.\nAnswer: -19826220*o**2*r**2 - 3768*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44724204?\nAnswer: 2, 3, 7, 59159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:56 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 8*i**2 + 3757*i + 234389. Let w(l) = -3*l**2 - 1252*l - 78129. Let o(b) = 2*a(b) + 7*w(b). What is v in o(v) = 0?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 5. Let h be z(-2). What is the biggest value in h, -0.3, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3506, -3504, -3502, -3500?\n\"Answer: 2*j - 3508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34\/2981 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528*s = -132*s - 28492992. What is the smallest common multiple of 8 and s?\nAnswer: 71952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 5805732*w + 8426631013956.\nAnswer: (w - 2902866)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/2, 12, -2\/9, -2\/17, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61059 rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108307*p - 5825*p + 24402*p.\nAnswer: -89730*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 72. Calculate the remainder when z is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n - 35. Suppose 2*b - 4*p + n*p = -5194, 0 = 4*b - 2*p + 10404. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 6*f**2 + 5*f + 5. Let c be w(-5). Suppose 20 = c*m - 2*u, -4*u = 5*m - u + 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -26 (b) 31 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19981 divided by -689.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 times -151636?\nAnswer: -7733436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjffjjjffffjfjjjfjjf. Give prob of picking 4 f.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d87 (base 15) in base 11?\nAnswer: -2325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483104 divided by -120776.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 504, 2022, 4552, 8094, 12648, 18214?\n\"Answer: 506*t**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/(-14))\/(0 + 1). Let s be -4 - (-3)\/9*10. Let z = -0.07 + -0.03. What is the nearest to z in s, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*w**3 + 459*w**2 + 9218?\nAnswer: 21*w**2 + 918*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.5 - -23.5. What is the closest to 0.4 in x, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*w = -277 + 247, 2*l = w + 6. Which is the closest to 0? (a) l (b) 3.57 (c) 3\/2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -3 - (0 + 1)) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1672*l + 653459. Give o(391).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2\/10)\/(-1). Let x = -29 - -24. Which is the nearest to 0.1? (a) -0.1 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g = -290, 7*f - g - 94 = 6*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 415 - 415. Solve -2\/5*z**4 + 4\/5*z**2 - 2\/5*z**3 + 0 + p*z = 0 for z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398 a factor of 2737444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3\/2 - 4361337*j**2\/4 + 545166*j + 2180667\/4 = 0. Calculate j.\nAnswer: -1\/2, 1, 726889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 3*r - 1. Let j = -4 - -7. Let l(y) be the second derivative of y**4\/4 + 4*y**3\/3 - y**2 + 7*y. Determine j*l(s) - 8*p(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -45. What is the greatest common factor of k and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 1. Let q be (-88)\/(-104) - 4\/(-26). Let p(u) = -38*u**2 + 62. Let f(x) = q*p(x) - 4*w(x). What is the first derivative of f(n) wrt n?\nAnswer: -68*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(195)\/sqrt(5)*1 + sqrt(39))\/(sqrt(21)\/sqrt(448)).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/3*1953\/(-155). Let w(g) = g**3 + 13*g**2 + 4*g + 10. Let q be w(-13). Is q < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 2\/7, 0.595315?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1032\/132*(-187)\/340*-10.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 15\/8, -1, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1458, 2832, 4120, 5322?\n\"Answer: -43*c**2 + 1503*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1247 = -12*g - 937. List the prime factors of ((-520)\/g)\/((-2)\/(-28)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**3 - 95*w**2 + 495*w - 405 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10*t - 7*t = -10, -2*c - 4*t - 4 = 0. Let a(w) = -6 + 18*w + 4 - 16*w + w**c. What is a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17971 plus -2?\nAnswer: 17969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h**2 + 2*h**3 + (0 - 2*h + 0)*(0*h**2 + h**2 + h**2))*(-5*h + 1 - 1)*(-7*h + 9*h - 3*h).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/5707937 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 8*n + 5. Let q be 0 + -3 - (5 + -2 + -1). Calculate the remainder when g(q) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -66 (b) -51 (c) -72 (d) -0.4 (e) -0.02 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 204 - 207. Let s(v) = v**2 - 4*v - 6. Let p be s(5). Let f(i) = i - 3. Let d be f(4). Put p, h, d in increasing order.\nAnswer: h, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2917*-0.0182.\nAnswer: 53.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 120*b**2 - 9*b - 59. What is the hundreds digit of y(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 336654, 336381, 335926, 335289, 334470, 333469?\nAnswer: 332286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 20*d - 79. Calculate the remainder when p(-6) is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3. Let v = 5 - 5. Let f be u(v). Solve 2*g + f = -10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**2\/x)\/x*x*x)\/((x*x\/x**5)\/x))\/(x**3*x**(1\/7)))\/((x\/x**0)**(-10)*(x**(-1\/4))**(2\/17)) assuming x is positive.\nAnswer: x**(3067\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-180)\/(-40)*(-2)\/6. Sort 6, q, 0, -5 in descending order.\nAnswer: 6, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4192 - 2940. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -355*b**6*p**2 - 2*b**2*p**2 - 162*b**2 wrt b.\nAnswer: -42600*b**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 36. Let p be u(37). Let m(y) = 14*y**2 + y. What is m(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14043\/5 - -2808. What is the biggest value in r, -4, 1383?\nAnswer: 1383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7. Let u be (s + 14)*(0 - -2). Suppose -5*q + 157 = -u. Does 27 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 8 + 3)*(0 + 0 + 2*n) + 0*n - 6*n + 3*n + (2 + 0 - 1)*(0 + 0 - 2*n) + 5*n - 2*n - 2*n - 2*n + 0 + 0 + 5*n - 4*n + n to t + a*n and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7272 + 8092. What is w rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10522187 rounded to three dps?\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 3*m - 3. Let g(x) = -3*x**2 - 4*x - 4. Let h(p) = -3*g(p) + 4*u(p). Let z(i) = 5*i. Give z(h(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*(1 + sqrt(704)) + 3 + -2*sqrt(704) + 3 + -1*sqrt(704) + 1)*6)**2.\nAnswer: -5184*sqrt(11) + 2052900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let g(l) be the second derivative of -l**5\/40 + 2*l**3\/3 - 5*l. Let a(d) be the second derivative of g(d). Give a(x(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -80*n**2 - 3*n + 3. Let r(l) = -81*l**2 - 4*l + 4. Give -4*p(j) + 3*r(j).\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((((r\/(r*(r**5\/r)\/r))\/r)\/r)\/r*r))\/(r*r*r**(-4\/3))*(r**(1\/3))**(5\/8)*(r\/r**(2\/7)*r*r*r)**(5\/8)\/(r**(-2\/25)*(r**(-3\/8)*r*r)\/r) assuming r is positive.\nAnswer: r**(3842\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0336 to 1 dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - 2*u + u)*(1 + 19 - 4) + (-19 + 33 - 30)*(-u + 4*u - u))*(-3 - 3 + 4)*(-4*u + 0*u + 2*u).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7 - (-4536)\/105*(-150)\/280.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:02 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 4 + 4 + 0*q - 2*q + q + (-4 - q + 4)*(-1 + 1 + 1) + 2 + q - 2)*(37*q**2 + 34*q**2 - 72*q**2) as r*q + p*q**3 + i*q**2 + k and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (-9 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73833755293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*y - 20 = -5*b, -5*y - 35 = -5*b. Suppose -c - 28 = -2*z, 4*c = b*z - 36 - 31. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282500 - -282503. Suppose 2\/7*l**y + 0 + 6\/7*l - 8\/7*l**2 = 0. Calculate l.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4)*g)**(1\/2)\/((g\/((g\/g**1)\/g*g))\/g**2) assuming g is positive.\nAnswer: g**(15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12431, 12442, 12453, 12464, 12475, 12486?\nAnswer: 12497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2912 and 44.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 243, 338, 433, 528, 623?\n\"Answer: 95*q + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 - (28\/7)\/((-2)\/18923) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*r**2 + 24*h**2*r + 116*h**2 - h*r - 3*h - 22*r**2 - 6 wrt r.\nAnswer: -2*h**2*r + 24*h**2 - h - 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1497520?\nAnswer: 2, 5, 18719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55360 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*w + 3*u, -2*w - 4*u - 22 = -6. What is the third derivative of 17*j**4 - 2*j**2 - 3*j**w - 4*j**2 wrt j?\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose y = u + 1, -k*u = -2*u - 3*y + 5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52\/7? (a) -0.5 (b) -3 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2 - 2 + 3*m**2 - 1. Let k be y(4). Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 2, u: 1}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-3)\/(-15))\/(-1))\/(17\/43) and ((-186)\/(-105))\/(1380\/(-483)).\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-2))\/((-92)\/8280*45)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4043, 3, 2, -5\/2.\nAnswer: -5\/2, 2, 3, 4043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2641842 and 4?\nAnswer: 5283684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h - 7*h - 5 - 5*h**2 - h**3 - h**3. Let q(r) = 3*r**3 + 7*r**2 + 6*r + 7. Give 5*q(a) + 7*y(a).\nAnswer: a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3651, 1750, -2 in descending order.\nAnswer: 3651, 1750, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43699535?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/35*-6*(-12)\/(-9)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90452\/(-226130)*(10\/7)\/((-3)\/28).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6804\/8629 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -255, -590, -1079, -1734, -2567, -3590, -4815?\nAnswer: -6254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 414*c**2 - 32547*c\/2 + 156313.\nAnswer: (c - 19)**2*(c + 866)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + u**4)*(3 - 2 + 7) + 3*u**4 + u**4 + 19*u**2 - 15*u**2.\nAnswer: 12*u**4 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343000.\nAnswer: 2, 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-12 + (1 - -1))) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162970411?\nAnswer: 103, 139, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 2*n = 1750. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-21))\/((-45)\/70)*33\/22?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*v - 2*o - 24, 3*o - 12 = -2*v. Suppose -g = -6*g + 4*u + 28, 2*u = -4*g + v. Let j(q) = -q**3 + 5*q**2 - 5*q - 1. What is j(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20407 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 147827707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 28. Let y = k - 26. Solve 5*c + 0*v + 2*v - 30 = 0, 5*c + y*v - 35 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/40*9\/216*4?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 46*x**2 + 97*x + 60. Calculate d(-48).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12858 is divided by 272?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126080392 to the nearest integer?\nAnswer: 11229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1606 (base 7) to base 8.\nAnswer: -1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 10059822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - 2) - -24 - (-8 + 13).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: b\"What is the xth term of 43690, 44730, 45770, 46810, 47850, 48890?\n\"Answer: 1040*x + 42650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54379?\nAnswer: 13, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -107*y**2 - 4*y + 4182. Let k(a) = 104*a**2 + 5*a - 4187. Let l(f) = 5*d(f) + 4*k(f). Find the first derivative of l(i) wrt i.\nAnswer: -238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*y - 3*t, 21 = 3*y - 0*t - 4*t. Suppose w - s + 4 = 0, -y*s = 6*w - 3*w - 6. Does w = -1\/112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30506887.\nAnswer: 131, 232877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 11:05 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 4*f + 4 - 2 - 1060*f**4 + 986*f**4 + 2*f**3 + (-1 - f + 1)*(2*f + f**3 - 2*f) as k*f**3 + m*f**2 + o*f**4 + j*f + d and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 62. What is the closest to 3\/4 in 2, -2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -1.7. Suppose 3*q + 0*a - 3*a = -9, -5*q - 23 = -a. Let s = -0.2 - 0. Put r, q, s in descending order.\nAnswer: r, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2498775825?\nAnswer: 3, 5, 7, 13, 193, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44504 (base 7) in base 9?\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*g - g. Let o = 9 + g. Suppose -2*w - o*l = -30, 39 = 3*w - 5*l - 6. What is the greatest common divisor of w and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 183*o + 4786. What is u(-23)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i + 1. Let w(u) = 6*u**3 + 8*u - 6. Calculate w(h) + 8*y(h).\nAnswer: -2*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114871*j**4*z**3 - 1239*z**3 - 2*z**2 - 6 with respect to j.\nAnswer: -459484*j**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2 + 50584*l - 20927388 = 0.\nAnswer: -13047, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/12 + (-116)\/(-16) - (-63)\/(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 5. Let b(j) = 10*j + 2. What is the remainder when b(3) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of 2*y**2 + 1\/6*y**4 - y**3 + y + 0. Factor m(l).\nAnswer: 2*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 21*v**2 + 2*v + 38. Let q be z(-21). Let s be (q\/(-6))\/(40\/300). Solve 0 = 3*g - f + 2, -3*f + 2 = -s*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7\/2305 + 278779\/41490. Let z = -1405627\/54 - -26029. Find the common denominator of z and p.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610412 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 39. Let n be d(11). What is the closest to 1\/4 in n, -1.5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(208)*-4 + 5*sqrt(13)*2 - 4*(-1*sqrt(143))\/sqrt(11)).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-2)*(-8)\/(-12). Let t(i) be the third derivative of 0*i - i**2 - 1\/8*i**4 + 1\/6*i**3 + 0. Determine t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcy. What is prob of sequence qy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 888.1653ml?\nAnswer: 0.8881653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 6*z - z + 10*z - 2*z + 0*z - 2*z + 4 - 4 + 2 + 2*z - 2 + (-1 - 4 + 6)*(2*z + 2*z - 3*z))*(5*z**2 + 12*z - 12*z).\nAnswer: 55*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -1\/6*m**3 + 9*m + 0 - 1\/24*m**4 - 1\/4*m**2. Solve s(z) = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97, 94, 91, 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 z when three letters picked without replacement from kyzylykykyeyy?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.36 and -316725.\nAnswer: -316725.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0738 - -0.2738. Which is the nearest to -1? (a) 4\/127 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-77061)\/34*(-18)\/27?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110413\/32 - 3449. Let p = -7961\/8372 - 4\/299. Calculate the common denominator of z and p.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 2:18 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 5*q - 10, 4*i = 0. Suppose -j + q*r = -5*j + 66, 0 = -5*j + 5*r + 90. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -q - 16 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 22. Suppose f - 15 = 4*l + l, -5*l = 3*f + 15. Give t(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -159, -205, -249, -291, -331?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (2 + (-3 - -2 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.03 - 2. Let x = h + 0.37. Suppose 3*i = -8*q + 3*q - 13, -5*i - 4*q = 13. Which is the third smallest value? (a) x (b) -2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 35*r - 2024 = 3*z, -38*r = -4*z - 39*r + 70 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + (-1380)\/(-96) - 13\/(-8). Solve 0 = 2*h - 5*m + 10, -t*m = -5*h + 3*h + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 6)*(n - 3*n + 5*n)*(8*n - 4*n + 7*n)*(43*n + n + 9*n) to c*n + r*n**2 + k + f*n**3 and give f.\nAnswer: -3498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 700666?\nAnswer: 700682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(((b*b*b**(3\/13))\/b)\/b)\/b*b)*b*b\/(b\/((b\/b**14*b*b)\/b))*b)**(-3) assuming b is positive.\nAnswer: b**(399\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68 + -1 - (-17 - (-45 - -60 - 56)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1846299?\nAnswer: 3, 7, 13, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 248. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37501456 to the power of 1\/2, to the nearest integer?\nAnswer: 6124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*c = -36. Let x(k) be the first derivative of -k**2\/2 + k + 2. What is x(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89 and -22760.9?\nAnswer: -2025720.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -49*g**3 - 2177*g**2 + 1256*g - 180 = 0.\nAnswer: -45, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - 1 + 1 + (2*j**2 - j**2 - 3*j**2)*((4 - 5 + 0)*(-3 + 0 + 2) + 3 - 4 - 4).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 1. Let d(p) = -12*p**2 - 4*p. Let f(y) = -y**2 - y. Let k(c) = x*f(c) + d(c). Let j(w) = 2*w. What is k(j(n))?\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -99. What is the derivative of 4*c**z - 15*c**4 + 6 - 4*c**4 + 23 wrt c?\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 + 83 - b**4 + 2*b + 2*b**3 + 0*b**3 in the form w*b + d*b**4 + p + g*b**2 + i*b**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 38*c - 144.\nAnswer: -(c - 72)*(c - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + n = -0*n + 2996, -4*n + 16 = 0. What are the prime factors of f?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7161\/165 - 2) + (-2)\/(-20) and 2\/6 - 64\/188.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:03 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750560998 to the power of 1\/4, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12667 - 12666. What is the third smallest value in d, -1, -0.045?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -1\/12 in descending order.\nAnswer: 2, -1\/12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 3*p - 15. Let v = -3 + p. Find the second derivative of 2 - 2*l - 2*l**2 - v wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 4, 2.\nAnswer: 1\/3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + 1)*(77 - 20748\/285).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**5\/20 + 17*w**4\/12 - 7*w**3\/2 - 25*w**2 - 74*w. Let l be h(-18). Solve 0 = l*o - 4 + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/17 (b) -1\/2 (c) 2855 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20209.46*336.\nAnswer: 6790378.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 3*d + 4. What is u(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + (-1 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:24 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34544 and 2623185?\nAnswer: 2159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2. Let w be 3 - ((o - -1) + -1). Let i(d) be the second derivative of -d**3\/3 - d**2\/2 - 55*d. What is i(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8 = x, 22*l + 2*x = 19*l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -824, -814, -790, -746, -676, -574?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -278\/145?\nAnswer: -278\/145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14965556.\nAnswer: 2, 1361, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011111000110011100001 - 100111?\nAnswer: -1000011111000110100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*m - 7. Let y(z) = 5*z**2 - 2*z + 1. Let n be y(m). Suppose n*b + 37 - 101 = 2*h, -4*h = b - 16. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 2 = -3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*n + 117*n - 6777266 = 12349394. What are the prime factors of n?\nAnswer: 2, 7, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4955 in -0.4, -3, 0.3, 0.03, 128?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209942*j - 210410*j - 4212 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16923 - -11544. Round c to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90.9, -2\/5, 13 in descending order.\nAnswer: 90.9, 13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/180 and 53\/27420.\nAnswer: 82260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215067880*d**3 + 18760885*d**2 + 3*d - 2.\nAnswer: 1290407280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4850 (base 12) in base 15?\nAnswer: -2619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1201*r**2 - 55 + 55 - 447*r**2 + 486*r**2 in the form j*r**2 + p*r + d and give j.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 1\/3 (c) 49 (d) -48.9 (e) 0.5 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5807, 5743, 5637, 5489, 5299?\nAnswer: 5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451.\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/30)\/(25\/225). Let g = 2 - 0. Put g, 14, m in descending order.\nAnswer: 14, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 3*j - 1. Let x(a) = -a**2 - 13*a + 5. Let i(l) = -2*m(l) + x(l). Let u be 14 + 0*1\/(-2). Suppose 5*k - 16 = 3*r + u, 3*r = 0. Determine i(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7082798730 - 20*w**3 - 7082798730.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51715 - -360859\/7. Let j = 164 + g. What is the nearest to -1 in 1, -4\/3, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.625755 - -133666607.625755. Let y = j - 133666607.1999921. Let a = -17.2 - y. Round a to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/17 (b) -1\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**3\/3 - 7*w**2\/2 + 21*w - 23. Let u be x(-9). Solve 0 = -t + 1 - u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2 and -65\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-800908)\/(-8))\/(-3 + (-154)\/(-44)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.124 (c) 18\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19674.743469 - -19629.343468062. Let m = 45.4 + v. Round m to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100*x + 141*x - 130*x)*(-7 + 14 + 7)*(2*x + x - 4*x) to n*x + o*x**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -79667, -159335, -239007, -318683, -398363, -478047, -557735?\n\"Answer: -2*f**2 - 79662*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26 and 0.72.\nAnswer: 0.1872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 2118*f**3 + 18753*f**2 - 46002*f = 0 for f.\nAnswer: -697, -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613, 3230, 4849, 6470, 8093?\nAnswer: 9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5316 and -5991.\nAnswer: -11307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87696 = -119*t + 77*t. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0*f**3 + 30 + 3*f + 0*f**2 - 1\/12*f**4. Let w(r) = -32*r**2. What is w(o(b))?\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 814271 and 13425?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.107112687 to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-4 - (4 + -1*sqrt(3)))*-2.\nAnswer: 8 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(-1\/4))\/k)\/k)\/k*k**0)**(-6\/5)\/(k**(-2\/11)*k**(-3)*(k*k**6)\/k*k**(-1\/2)) assuming k is positive.\nAnswer: k**(-12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9 + 1613 + 8 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 23 = 10*x - 207 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2742.\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -2. Let r be ((-27)\/y)\/3 - 2. Let z be 3\/(-9)*(-2)\/4. What is the second smallest value in z, 1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)\/((-4)\/24). Let k = -6 - u. Suppose -n - 2*b + 20 = 0, -k*n + 3*n = -b - 32. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 13 = -3*n, -5*n + 149 - 199 = -4*x for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -10*r + 40. Suppose 2*l = -i - 2*i - 408, r*l = -2*i - 998. What is the remainder when (-2 - -1)\/(18\/l) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7401924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14048.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u - u + 6*u - 3*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -604195, -4833593, -16313383, -38668759, -75524915, -130507045, -207240343, -309350003?\n\"Answer: -604199*s**3 - 2*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 413748385, 413748384, 413748383?\nAnswer: 413748382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**4\/4 - 5*n**3 - 7*n**2 - 17*n + 30. What is the units digit of m(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13554377 and 300847.\nAnswer: 8131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/35 and -3\/80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.94 - 7.04. Which is the third smallest value? (a) m (b) 7 (c) 0.3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5605729\/36921312 + 90\/42733. Find the common denominator of -137\/192 and q.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(114) - (-2*sqrt(114) + sqrt(114))) - 3*1*sqrt(114))\/(((sqrt(270) - (sqrt(270)*-1 - sqrt(270)))\/sqrt(5))\/(sqrt(9) - sqrt(729)*2)).\nAnswer: -17*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 926 divide 1477896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, d: 1}. Give prob of picking 3 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 272, 264, 256?\n\"Answer: -8*q + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5905 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13990029, -27980065, -41970105, -55960149, -69950197?\n\"Answer: -2*k**2 - 13990030*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*(-16)\/108. Let x = 0.35 + -14.35. Let s = 13 + x. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - m. Let u = 7138 + -7132. Let a(q) = -9*q**2 + 12*q - 1. Determine u*g(s) + a(s).\nAnswer: -3*s**2 + 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23175 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40441292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/22 and -79\/320.\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 5615?\nAnswer: -5615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(25)\/sqrt(5) - (sqrt(125) - (sqrt(125) + -2)).\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 3, 16, 33, 54?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 864257621 is divided by 231?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 50.22.\nAnswer: -25.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 16\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*6\/30*45\/18\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 25*w - 65. Let q be t(-6). Solve -12*z + q*z = 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(3))*5 + 4 + -2 + (-2*sqrt(12) - (-4 + sqrt(3) + -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 5) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 167119488*u. Let a(d) = d. What is a(i(m))?\nAnswer: 167119488*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -385758839.\nAnswer: -385758827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7922035ml?\nAnswer: 0.0007922035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 150 = -f, -2*f = -2*u + 5*u - 280. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25062324, -25062341, -25062370, -25062417, -25062488, -25062589, -25062726, -25062905?\nAnswer: -25063132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**3 + 2*q**2 + 2*q. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 147, 352, 639, 1008, 1459?\nAnswer: 1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 123*x - 3. Let a(c) = c**2 + 1. What is 2*a(o) + g(o)?\nAnswer: 3*o**2 + 123*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355894668 divided by -27?\nAnswer: -13181284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 18888*d**2 - 3*d - 3*d.\nAnswer: 18888*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 811 + -452. What are the prime factors of r?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myy when three letters picked without replacement from mmmcmyymmm?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1351403107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, 279 in ascending order.\nAnswer: -9, -1, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11529 + 12201. What is the greatest common divisor of 1302 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4063348 and 2.2.\nAnswer: -4063345.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1356, 5762, 13100, 23370?\n\"Answer: 1466*m**2 + 8*m - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.2, -483, -1?\nAnswer: -483","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841935991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/w**(-3\/4)))**(1\/11) assuming w is positive.\nAnswer: w**(5\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 280 = 28*r + 25*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from pjpjp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -13. Find the common denominator of 980\/189*6\/t and 48\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.666 times -0.6?\nAnswer: -0.3996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -4*c - 9*p + 4*p + 411 + 17905 = 0. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4551967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1531 + 0.0531. Put l, -12\/41, -0.4 in decreasing order.\nAnswer: l, -12\/41, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5577305?\nAnswer: 5, 521, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5962990429.\nAnswer: 11, 542090039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*g**2*o**2 - 53452*g**2 + 2327*o**2 + 54*o - 1 wrt g?\nAnswer: 70*g*o**2 - 106904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from cccjccyjcyyccjcycc.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times 142461?\nAnswer: -3846447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 459 divided by 27\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6046559 is divided by 1020.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674519627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1339*w - 1582*w + 3217*w - 3*w - 2*w + 3*w + (-2 + 2 + 2)*(-1 + 1 - w) + 5 + w - 5.\nAnswer: 293*w","meta":{"dup_signals":{},"source":"polynomials__expand_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: Simplify (c**(-20)\/((c**(-4)*c)\/c*c)*(((c*c*(c*c\/((c\/(c**(2\/47)*c))\/c))\/c*c)\/c)\/c)\/c*c*c**(-2\/35))**(-2\/165) assuming c is positive.\nAnswer: c**(46108\/271425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.008 (b) 2\/3 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14061?\nAnswer: 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*w + 0)*(3*w + 4*w - 2*w)*(-3 + 3 + 16*w)*(2*w + 5 + 0 - 3*w).\nAnswer: 160*w**4 - 800*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -900ad7 + -2?\nAnswer: -900ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 15*v**2 - 35*v + 12. Let r be m(17). Let l(j) = j**3 - 5*j**2 - 5*j - 4. Let c be l(6). Sort r, c, 9 in decreasing order.\nAnswer: 9, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2789, 4\/5, 4.\nAnswer: 4\/5, 4, 2789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-18))\/((-8)\/(-72)). Solve -3*x - 2 = f*i - 12, -3*i = -x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r**3 + 3*r + 4*r + 52*r**3 - 7*r.\nAnswer: 73*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 11*t**7\/42 - 7*t**4\/12 + 3*t. What is the third derivative of a(k) wrt k?\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986409.\nAnswer: 3, 127, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 20932, 2\/11, -4 in decreasing order.\nAnswer: 20932, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-32)*(z**(-28)*z)\/z)**7 assuming z is positive.\nAnswer: z**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1907*t**3 + 958*t**3 - 2*t + 953*t**3 + 6 - 2 - 2*t**2 to a*t**3 + p*t**2 + v*t + r and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 5*m**2 + m - 6. Let a be f(-6). Suppose 0*v + a = 3*v. Solve -v*t + 3*t = 3*o + 21, 4*o - 5*t - 7 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 + r**3 + 9*r**2 - 21*r**2 + 3 + 5*r**2. Let d(t) = 4*t**3 + 8*t**2 + 12. Let b(i) = -9*c(i) + 2*d(i). Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 469006294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 + 2*b + 12. Suppose -3*x + 18 = -5*x. Let g be t(x). Suppose g = 3*r - 0*r. Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 - 14 - (-1 + 5) - 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 2*a**4 - a**4 + (-5*a**2 + 20*a - 20*a + (-2*a + a - a)*(4*a - 3*a - 3*a))*(-a**2 + 3*a**2 + 2*a**2).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 13 = -3*c, 3*c = c - a - 13. Is c equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*t - 41*t - 330*t + t.\nAnswer: -134*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4122*m**4 + 4118*m**4 + 4118*m**4 + 6*m**2 + 774*m**3 - 1 - 12356*m**4 to n*m**2 + h*m**3 + r*m + u*m**4 + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -10*s**2 - 53*s + 15. What is the smallest common multiple of 372 and z(-5)?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-25 - 6 - -17 - (0 - 3))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 794669807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.5 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 734*z - 2861. What is the thousands digit of y(43)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 271 - 207. Let w = 67 - h. Suppose 3*n - 21 + 3 = 0. Solve w - n = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7048*t - 3360 - 5551 = -7139*t - 2996 for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10696, -42048, -94056, -166720, -260040?\nAnswer: -374016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**4\/17 + 332*p**3\/17 + 2442*p**2\/17 - 3428*p\/17 - 5536\/17 = 0.\nAnswer: -8, -1, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*r - 42259, 84*g - 83*g - 42265 = 2*r. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 261\/24964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -14, -94 in decreasing order.\nAnswer: 1, -1, -14, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 179.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-10)\/2 - 6\/(-2) - -212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 4}. What is prob of sequence qqeq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -207*n**6\/40 - n**5\/5 + 23*n**3\/3 - 84*n**2 - 3. Find the third derivative of s(p) wrt p.\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(150) + sqrt(150) + -2*sqrt(150) + sqrt(150))\/sqrt(10) + sqrt(15) + sqrt(15))\/sqrt(3))**2 + sqrt(20)\/sqrt(4)*-2*-5 + 3 + 3.\nAnswer: 10*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**2 + 39*m - 52. Let j be k(18). Suppose -q + 5*s = 2*s + 10, -5*s + 28 = 4*q. Solve -2*n = n - r - 4, -j*n = -q*r - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107253859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 123*a**6 - 1476583*a**3 - 5*a**2 + 781246*a + 40?\nAnswer: 14760*a**3 - 8859498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56961 and 2223.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494 - 242 + 5*s**2 - 254.\nAnswer: 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -5, -4, 2756293 in increasing order.\nAnswer: -5, -4, 60, 2756293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, v: 3, p: 2}. What is prob of sequence ypy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150094, 150040, 149984, 149926?\nAnswer: 149866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.015 and -6.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1312 or -730\/17?\nAnswer: -1312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 51aa - 101?\nAnswer: 50a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -21, 41604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1399*w - 2. Let k(i) = 4183*i + 8. Give 7*f(v) + 2*k(v).\nAnswer: -1427*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 2944?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4945 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from {x: 2, r: 2, s: 8}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2823 = 2*v, 0 = -3*v - 9*g + 7*g + 4218. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 342?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -708 (c) 1.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.1 (b) -0.18 (c) 0 (d) 0.26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 88, 1370, 3504, 6490, 10328, 15018?\n\"Answer: 426*a**2 + 4*a - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p + 20. Let f be -5 - 3\/(-20)*-20. Let z(n) = -15*n + 13. Give f*z(a) + 5*l(a).\nAnswer: 5*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2516 by 44146.\nAnswer: -1258\/22073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37090 and 2399723.\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*x + 23, -b - 5*x = -4*x + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -243*b - 1969*b + 343*b - 647*b - 1161*b in the form y + d*b and give d.\nAnswer: -3677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2040010 + -2?\nAnswer: -2040012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12637, -4, -1 in ascending order.\nAnswer: -12637, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 12:29 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7132747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003767 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-30)\/20)\/1)\/(-1 - 1257\/(-1260)). Which is greater: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/156 and -49\/57072?\nAnswer: 741936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - 3*h + 1. Calculate c(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694284?\nAnswer: 2, 41, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 divided by 329?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - sqrt(143)*1) + sqrt(143))*3)\/(sqrt(1100) + sqrt(1100) + sqrt(1100)*2) - 2*(sqrt(468)*-3 + -3).\nAnswer: 6 + 1443*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((263\/(-2630))\/(1\/154) + 11).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -29 - (67 + (-69 - -16) - (2 - -27))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-3)\/(1*-6)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 86.44, 2\/9, -2 in decreasing order.\nAnswer: 86.44, 17, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y - 19. Let m be x(2). Suppose -15 = m*w, -4*o = o - 3*w - 1264. List the prime factors of o.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*w + 771*w - 242*w + 4 - 256*w.\nAnswer: 15*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3419*u**2 - 5*u + 7. Let y(j) = -3420*j**2 + 3*j - 5. Calculate -2*c(a) - 3*y(a).\nAnswer: 3422*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24647, -26534, -29679, -34082, -39743, -46662?\nAnswer: -54839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 2*b**3\/21 - 3*b**2\/7 + 4*b\/7 + 1. Factor u(o).\nAnswer: 2*(o - 2)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.3, -2, 1\/4, -1\/2 in increasing order.\nAnswer: -2, -1\/2, 1\/4, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -2*t**3\/15 - 637*t**2\/5 + 1276*t\/5 + 2452. Let f(p) = 0. Calculate p.\nAnswer: -638, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - (-6 - (-56)\/(-14)))*10\/12. Sort h, -9, 3, -2, -4.\nAnswer: -9, -4, -2, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46874080 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 158*l + 160*l + 1792*l**2 - 311*l**2.\nAnswer: 1481*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((10\/6)\/((-25)\/(-90)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t + 6*t**4 - 48*t)*(-3*t + 0*t - t) + 0*t**5 - 2*t**5 - 3*t**5.\nAnswer: -29*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = l - 2*l + o, 0 = 5*l + 3*o - 27. Solve 3*s + s = -3*c - l, 3*c - 4*s - 18 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 10*i - 7. Let o be d(-9). Suppose 223 = o*k - k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5886*j**2*p**2*w - j**2*p**2 + 107*j*p**2*w + j*p**2 - 2*p**2 wrt j.\nAnswer: 11772*p**2*w - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/m*m**(-3\/7))**(-28) assuming m is positive.\nAnswer: m**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/11 (b) -0.9 (c) 38 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -581 + 588. Find the common denominator of n\/(-56) - 65\/680 and 37\/10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-5)\/(-2)) - 7. Let o(a) = a**2 + 13*a - 46. Let u be o(-16). Let i be (39\/(-18) + u)\/(38\/1197). Is v smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m - 25 = -1, -3*k + 28 = -4*m. Suppose -2*y = -k*c - 206, 4 = c - 2*c. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -165 + 243. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -10*n + 51. Let x(t) = -t**3 + 3*t**2 + 5*t - 4. What is x(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - w + 24 = 0, 692*y - 695*y + 20 = 2*w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14511 + -2592.85489. Is d <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41884 and 50617380.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -13. Suppose -c = -k*c. Suppose 4*w = f + f + 1312, -f + 4 = c. What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -997, -993, -989, -985, -981?\n\"Answer: 4*i - 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**(-1)*(r**(1\/5)*r)\/r)\/((r*r\/(r\/(r*r**(-8))))\/(r*r*r**(2\/5))) assuming r is positive.\nAnswer: r**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 236*f + 1. Let q(w) = -9*w**2 + 3*w. Give i(q(m)).\nAnswer: -2124*m**2 + 708*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/56 and -19\/78826.\nAnswer: 2207128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/2)*x\/(x*((((x*(x**(-2\/25)\/x)\/x)\/x)\/x)\/x)\/x))\/(x\/((x\/(x**(-2\/43)*x))\/x)*x*x**3))**(-11) assuming x is positive.\nAnswer: x**(8833\/2150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 2*s + 7. Suppose 2*p - 9 = 5*m - 0*m, -3*p = -m - 20. Suppose p*b = 6*b + 3. Suppose -b*z + 5 = -10. Give w(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79200?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -39*z + 38*z. Sort 5, z, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 7. Let b be n(-9). Sort b, -5, 5, 3 in decreasing order.\nAnswer: 5, 3, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8 - 6*u**2 - 2*u + 6 - u**3 - 7. Let i be v(-6). Let m = -1 + i. Solve 5 + 5 = -m*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 - 15*h + 48. Let v(n) = -3*n**2 + 7*n - 24. Let r(z) = -6*l(z) - 13*v(z). Is 24 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 3*q**2 - 3*q - 1. Let v be k(-2). Let z = 3 - v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238 divided by -3\nAnswer: -238\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 3*y**2 - 5*y + 3. Let x = -7 + 10. Suppose x*j - 20 = -j. Suppose -d = -j*d - 16. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from nnmccxnkcmnmnxxlxlxn?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3519032630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.2, 5.85, -5\/3, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((((g\/(g*g**20))\/g)\/g*g)\/g)))\/g**(2\/9)*(g*(g*g\/g**(-14))\/g)**(-1\/46) assuming g is positive.\nAnswer: g**(-4672\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*c + 1458 = 370*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 8*m. Suppose 6*w - 2*w - 16 = m. Calculate the remainder when 7 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(32 + 45 - 75 + 35*g**3) as j*g**3 + s + l*g + b*g**2 and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 2*l**7\/105 + l**4\/2 + 155*l**3\/6 + 41*l**2. What is the derivative of o(p) wrt p?\nAnswer: 16*p**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:22 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1835\/8 + 229. What is the closest to x in -0.3, 1\/3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*d + 14, -3064*x - 5*d = -3066*x - 16. Let w(s) = -s - 7. Let y(g) = 3. Determine x*w(c) - 5*y(c).\nAnswer: 3*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 - -0.07. Let m = 0.06 + 0.24. What is the nearest to -0.1 in 2\/5, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -19) + (-2)\/(-2). Let r(n) = -3 + 2*n + 0*n - 1 - a. Let x be r(8). Is -6\/13 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (4 + 0)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8088120 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/26 - 14\/91?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -511*n - 272*n + 230*n to b*n + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -0*u. Suppose 3*a + 3*c + 57 = u, 0 = -0*a + 5*a - 4*c + 122. Let o = a - -71. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - 2.4. Let s = -1.761 - 0.539. Let h = y + s. What is the nearest to -2 in 1\/3, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 3. Let m be n(3). Let h(z) = 14*z**3 + 1. Let u be h(m). Is 3*1 + (11 - u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-75)\/(-10)))\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = -4*p, -3*p + 0*x - 4*x = -5. Let v = 84 + -96. Let d be (-6)\/(-4)*(16\/v + 2). Put p, d, -2 in increasing order.\nAnswer: -2, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -2. Suppose 2*t - 6 = p, r*t - t + 6 = -2*p. Let o be (t + 2)*(-4)\/(-6). Solve -1 = -2*j + 1, 5*k + 2*j = o for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810501 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 2*f. Let d be ((-6)\/4)\/((-9)\/(-12)). Let p(a) = 4*a**3 + 7*a + 1. Let j(u) = d*p(u) - 7*r(u). Differentiate j(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35 and -41\/10255.\nAnswer: 10255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(56)\/sqrt(8) + 4) + (sqrt(112) + sqrt(7) + sqrt(21)\/sqrt(3) + 4)**2 + -5.\nAnswer: 54*sqrt(7) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(15\/2) - 28\/70\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 3*a**3 + 2*a**3 + (6*a - 4*a - a)*(-3*a**2 + 5*a**2 - 4*a**2) + (-2*a + 2*a - 2*a**3)*(-21 + 0 - 16).\nAnswer: 74*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192399 is divided by 412.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1656914 and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2724023?\nAnswer: 89, 127, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*a + 1678 - 673. Suppose 2*x = -0*x - 8. Sort x, -1, a, 6 in descending order.\nAnswer: 6, a, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j + 11*j + 3168*j**2 + 3*j**3 - 3168*j**2.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/4*-2 - -132 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31429810 is divided by 34.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 17 = n, r = -2*n - 0 - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(152) - sqrt(152)*-2)*3)\/((2*sqrt(80)*5)\/(-1*sqrt(90))) + 3.\nAnswer: -81*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 35 - 2*t + t + 2*t - 33. Suppose 4 = r + b - 3*b, -4*b = 0. Suppose -2*q = -q - r, -4*u = 2*q. Determine d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (253 - 254 - (2 - 6)) + -29.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*o = 20, 2*g - 11 = -0*g - o. Let n = 34 + -13. Let u = n - 17. What is the remainder when g is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*i - 6, -6 = -4*g - 2*i + 12. Suppose 0*s + 4*s + 59 = 3*h, 4*s = -h - g. Calculate the remainder when 24 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -w - 44. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166285884?\nAnswer: 2, 3, 29, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10012234 + -5?\nAnswer: 10012225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*u + 6. Let x be u*(57\/12 - 2). Calculate the common denominator of -31\/12 and 2 + x\/6*-13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9, -35, -109, -255, -497, -859?\n\"Answer: -4*h**3 + 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -104, -16, -2, -3, 1, 4 in descending order.\nAnswer: 4, 1, -1, -2, -3, -16, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (107\/5885)\/(2\/20)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -138*o**2. Let u(z) = 5*z + 2. What is u(y(k))?\nAnswer: -690*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t = 127*t + 41 - 41. Which is the closest to -0.1? (a) 5 (b) t (c) 0.3 (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 143381 or 143380?\nAnswer: 143381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 18.9393\nAnswer: 7.57572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**4\/24 - 173*n**2. Let j(i) be the first derivative of -i**2\/2 + 2. Determine d(j(m)).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 7*m - 1. Let a be (-2 - -8)\/((-6)\/(-8)). Let k = -3 + a. Calculate the lowest common multiple of j(k) and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1125*c + 33938. Determine v(30).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1707279 millennia?\nAnswer: 1.707279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6666.000007291 + -6666. What is j rounded to 7 decimal places?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c + 1. Let f(g) = 45*g**3 - 3*g**2 + 2*g - 2. What is f(n) + 2*s(n)?\nAnswer: 45*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2589207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) 1391\/4 (c) -6\/49 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 184, 343, 488, 577, 568, 419, 88?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-7)\/(189\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4)*(-24)\/9. Suppose -5*g - 4*d = -229, -w*g = g + 2*d - 137. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {o: 2, d: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.889 + -43.7. Let h = 1.2 - y. Let r = 0.038 - h. What is r rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2 - 86*l + 651 = 0. Calculate l.\nAnswer: -93, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-30)*6*((-2796)\/1631)\/(4\/9)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v**3 - 800*v**2 - 545*v + 270 = 0.\nAnswer: -1, 1\/3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + 0 - 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867*p**5 + 14892*p**4 + 95772*p**3 + 273312*p**2 + 292032*p.\nAnswer: 3*p*(p + 4)**2*(17*p + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48076 * 302.\nAnswer: -14518952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 3059, 12089, 30639, 62117, 109931, 177489?\nAnswer: 268199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.094 - -0.121. Let q = -0.015 + h. Sort q, -36, -0.3 in ascending order.\nAnswer: -36, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234441*o**3 + 93799 wrt o.\nAnswer: 703323*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3)))**(4\/9))**33\/(v**(-1)\/(v**4\/v))**(1\/8) assuming v is positive.\nAnswer: v**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 2}. What is prob of picking 3 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 8*g - 8. Let q be h(-10). Let c be (-7)\/q - (-205)\/(-4). Let p = 87 + c. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4 + 533*b**3 + 73378*b**2 + 627228*b + 1235592 = 0.\nAnswer: -262, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 10:12 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - 4*a**2 - a**2 + (5*a - 3*a + 0*a)*(-2*a + a + 0*a))*(3*a**2 - 2*a**2 + 5*a**2) in the form d*a**3 + t*a + z*a**2 + j + b*a**4 and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108041\/12 - 9016. What is the common denominator of n and -49\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v + 11. Give c(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.771 - 10.771. Which is the fourth biggest value? (a) 0.06 (b) -0.03 (c) s (d) -1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50\/9? (a) -0.1 (b) 2 (c) 0.1537 (d) 0 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + (-198)\/(-10). Let y = -19 + s. Which is the biggest value? (a) y (b) -4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**3 - 8244*c**2 + 5655375*c + 11343750 = 0.\nAnswer: -2, 1375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose -4*v - 37 = -h*v. Let a(d) = 30*d**2 + 5*d + 4. Let p be a(-3). What is the highest common factor of p and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 119 = 251. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)\/((-1)\/(-5)). Let h be 81 - (m + (-4)\/(-2)). What is h rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxww when four letters picked without replacement from {w: 7, x: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**7\/98 - f**6\/35 + 6*f. Solve g(v) = 0 for v.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12438309?\nAnswer: 3, 13, 43, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8320 divided by 520\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*p + p. Let w be p\/6*-1*3. Do w and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/330072 and -109\/577626?\nAnswer: 2310504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m + 32 - 6*m - 9 + 8*m - m**2. Let g be z(-4). Calculate the greatest common factor of g and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**2 + 1314*w + 524.\nAnswer: 2*(w + 131)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5446)\/(-63) + -40 + -46?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0, -7 in decreasing order.\nAnswer: 15, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 101 - 25. Solve 3*h = -5*o + 25, -4*o + 5*h - f*h + 20 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.159968 and 14.6.\nAnswer: 2.3355328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 6*b - 2. Let c be s(5). Suppose c = 3*h - 2*h. Let g(y) = -y**2 + 4*y - 4. Let d be g(h). Which is bigger: d or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 + (-20)\/80. Let z(t) = -t**2 + 1. Determine z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 + -1?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 68. List the prime factors of x(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -428370282+0.0347\nAnswer: -428370281.9653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 at least as big as 298272\/2539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:39 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 18*j**2 + 15*j + 79. Let r be k(19). Solve -5*x = 5*u - 3*u - r, -x - u + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/4 of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 26*r + 108. Determine n(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -840*f**5 + f**4 - f**4 - 46*f**2 + 14*f**2 + 857*f**5 wrt f.\nAnswer: 1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.3429 months to millennia.\nAnswer: 0.021028575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -278 in 0.2, 3\/35, 41\/2?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 + -0.86. Let s = 7531.220003 + -7532.32. Let q = s - u. What is q rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6121 - -6157. Let w be 8\/(-12) + 110\/3. Calculate the highest common factor of w and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/2)\/v*v**(-3)*v)\/(v**3\/(v*v*v\/v**5)))\/(((v\/(v**(3\/10)\/v))\/(v\/v**(1\/14)))\/((v**(-5)*v)\/v**(-2\/15))) assuming v is positive.\nAnswer: v**(-2759\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5962, -6004, -6078, -6184?\nAnswer: -6322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 f, and 1 x when three letters picked without replacement from pfwxj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 2*a**2 - a + 1. Suppose 3*b - b - 4 = 0. Let g be l(b). Solve -2*c + g*p = 2*p - 1, -4*p = c - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 + 6*z - 5. Suppose -6*k + 0 + 24 = 0. What is the remainder when a(k) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5410 + 140663\/26. Let f be ((-27)\/(-6))\/(3\/(-4)). Let d be (4\/f)\/(6\/9). Is d >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2588*r**2. Let f(d) = 4*d. Calculate f(g(u)).\nAnswer: 10352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 28. Let t = -43\/150 - 1\/75. Let j = 101\/70 + t. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, -4, 1, 3, -9, 2.\nAnswer: -103, -9, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - 5 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = -4*w, 4*w - 2 = -10. What is the smallest common multiple of 45 and j?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 435 and 12325?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 503 - 0?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 381535000 rounded to the nearest one million?\nAnswer: 382000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10112 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + t**2 + 2*t**2 - 2 + (0*t - 3*t + t)*(3 - 2 + 1)*(3*t + 7*t - 2*t).\nAnswer: -33*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -7*o - 77. Determine h(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024183942 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 7*o = 0. Put -11, 4, o, 1 in decreasing order.\nAnswer: 4, 1, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyynayyyan. What is prob of sequence nnyn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0.048.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 19.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x - x**4 - 1 - x**4 + 1 + (-3*x**3 + 5*x**3 - 3*x**3)*(-x - x + 3*x) + 0*x**4 - 2*x**4 + x**4 - 5*x**4 + 3*x**4 - 7*x**4.\nAnswer: -13*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {c: 3, a: 5, w: 1, m: 6, t: 4, l: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420593077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.843937135428 and 1.3.\nAnswer: 5.143937135428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + sqrt(68)*-2*4)\/(-1*sqrt(16))*-6 - ((-2*-3*sqrt(187) - sqrt(187))\/(sqrt(176)*4))**2.\nAnswer: -18*sqrt(17) - 425\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 6. Let g(h) = -3*h + 1 - 2*h + 4*h + 0*h. Let u(n) = g(n) + y(n). Let r(d) = d**2 + 7*d + 6. Let x be r(-6). What is u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15\/(-27))\/((-1)\/120). Let d = 66 - h. Suppose 5*v - 5*t = 15, -3*v + 4*t + 11 = 2*v. Which is the third smallest value? (a) d (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51336\/5 + 10414. Let v = m + -2781\/20. What is the common denominator of v and -89\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.0028 * 2.\nAnswer: -28.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + r - 3 + 9 - 4 - 5.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -16.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3074 - 14274. What is s rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1010001?\nAnswer: 1010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3\/v*v**(-7)*v**(-6\/7)*v*v*v**(-1\/3)*v*v*v)**43 assuming v is positive.\nAnswer: v**(-1075\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46487323 to the power of 1\/2, to the nearest integer?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-13)*123\/738\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5967.489 kilometers to micrometers.\nAnswer: 5967489000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 127 + 82 = 0. Let h(n) be the second derivative of 0 + 1\/4*n**r + 0*n**3 + 9*n + 0*n**4 + 7\/2*n**2. What is the derivative of h(k) wrt k?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-12))\/(5\/10). Let o(g) = -4 - 206*g**2 + 102*g**2 + 103*g**w. Let v(r) = 2*r. Determine v(o(l)).\nAnswer: -2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25465, 25426, 25387, 25348?\n\"Answer: -39*z + 25504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/31 and 15\/136.\nAnswer: 4216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 2 + 1 - 6. Let l = 3 - 7. Let a be d(l). Solve 0 = a*f - 1 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaqq when four letters picked without replacement from aqcqnqnqanl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -265*(168\/(-30) + 5). Suppose -l = -4*l + 3*s + r, -3*l + s = -165. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11900 + 26*o - 11900.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18158 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 5. Let x(g) = 2*g + 4. Let w be x(-2). Solve w = 4*j - 0 + r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 710, 5, 34, 2, 1 in decreasing order.\nAnswer: 710, 34, 5, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {v: 3, q: 2, i: 2, x: 1, a: 4}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*j + 2*j. Is (-12)\/8*j\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkmkkkkkkkkk.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107023.\nAnswer: 7, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/337 - 333\/1348. Suppose -4*p - 8 = -4*v - 5*p, 5*v - 10 = -5*p. Suppose v*z - 8 = 4*z. Which is the closest to 1? (a) -1 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1233, -4858, -10899, -19356?\nAnswer: -30229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + -9 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 9.4. Suppose -2*n + 5*n = 3. Let d = 4 - -1. Sort n, o, d in ascending order.\nAnswer: o, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 + 26*i**3 + 3*i**2 - 76*i - 52 = 0. Calculate i.\nAnswer: -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 98 = 413. Suppose -5*d - 115 = -4*o, -s = -0*o - 3*o - 4*d. What is the third derivative of -19*l**3 + 36*l**2 - o*l**2 - 3*l + 3*l wrt l?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2575*u**3 - u**2 + u + 2. Suppose -1 + 33 = -2*w. Let r be (w\/20)\/(6\/(-15)). Let q be d(r). What is q rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 964 = 116. Let o = j + -69. Suppose -4*s = 5*p - 192, -5*p + 179 = o*s - 15. Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 3*t**2 + 5*t**2 - 17*t.\nAnswer: 2*t**2 - 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -26*q + 32. Suppose -3*m + q = -1. Let k(w) = 5*w**2 + w - 1. Calculate k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 6. Let o be a(-5). Suppose -9*t - 9*t - 3*t = 7*t. Solve o = y - t*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072*m**3 + 1062*m**3 - 3194*m**3 + 1071*m**3.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyt when three letters picked without replacement from {y: 1, j: 1, v: 2, t: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, j: 3, i: 7, u: 3, h: 1}. What is prob of picking 1 u, 1 h, and 2 l?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -33?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -43790 to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*f + 203*f + 190*f + 205*f + 196*f + 203*f + 2 - 1195*f.\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 44 (b) 1 (c) -1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -213364641?\nAnswer: 213364640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*a**4 - 372*a?\nAnswer: 1908*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 115*y - 2545. Give k(-30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*c - 4*k, 2*c - k = -c - 18. Let n(s) = s**3 + 4*s**2 - 6*s - 7. Let u be n(c). What is the units digit of (3 - (1 - u)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1917)\/(-45) - (-3)\/(-5))*3\/(-9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115.2 + 134. Round b to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05617199, -3, 4 in ascending order.\nAnswer: -3, -0.05617199, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 - 725*v**2\/4 - 4*v + 1156340.\nAnswer: (v - 716)*(v - 85)*(v + 76)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 176\/(-24)*(2220\/(-8))\/(-5). Let w = 442 + i. Calculate the greatest common divisor of 1295 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 + -3.3. Let n be (-1)\/8 + (-8)\/64. What is the fourth biggest value in j, n, -0.4, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00619 + -0.057\nAnswer: -0.05081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -645 - -1158. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1327 = -2*b, b = 43*n - 45*n + 663. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/627)\/((-1)\/3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189687?\nAnswer: 3, 53, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/14*21\/(-6). Suppose o*p = 5*p + 30. Solve p*g - 4*g - 1 = 0, 5*y + g = 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 8 - (0 + 3)) + 40 + -46?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5194952 divided by -28.\nAnswer: -185534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 26. What is the remainder when 15\/(j\/50*-2) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + 18*c - 34. Let i = 13806 + -13816. Determine y(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 121*-1*(12 - 11). Let a = b - -315. List the prime factors of a.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59 - (23 + -18)) + (2 - 16) + -11.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.468 less than -28970336609?\nAnswer: -28970336608.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 3*r + 219. Let m = 22 + -14. Calculate the smallest common multiple of m and r\/(-18) - 2\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m + 46. Let o be x(-8). Is 2*(-3)\/6 + (o - -222) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (2 + -3))*2. Suppose l = -5*y + 19, t*y + 4*l - 6 = 6. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 - (-5706)\/9*1 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 296\/40 - 6\/(-10). Suppose j + 5*w + 39 = 0, 0 = j + w - f + 43. Let p(v) = -v**3 + 3*v - 3. Let u(z) = -6*z**3 + 17*z - 17. Give j*p(q) + 6*u(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h - 15. Let i(u) = -u. Let k(j) = 3*i(j) - p(j). Let z be k(-14). Let v(a) = 2*a**2 + 17*a - 11. Is v(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -224.3 - -224.6126. What is s rounded to two decimal places?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378 = 4*h + 3*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2484 and 111322944.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k**2. Let p(y) = -129026*y. Determine t(p(d)).\nAnswer: 183124795436*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 4:32 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:41 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((1 + sqrt(1216) + sqrt(1216) - sqrt(1216)) + sqrt(38)\/sqrt(2) + -5)**2 + 3 + -3)*3 + -5.\nAnswer: -216*sqrt(19) + 4675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10632.4 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -245 divided by -245.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6668*m**2*o**2 + 3*m**2*o + 55*m**2 - m*o**3 - 151*m*o + 2*m - 64*o**3 + 3*o**2 + 3*o + 4 wrt o.\nAnswer: 13336*m**2 - 6*m*o - 384*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 648 and 42696?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*d + 19 = 0, q = -2485*d + 2480*d + 23 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 0, 1, 4, 9, 16?\n\"Answer: s**2 - 4*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7))\/y*y)\/(y**(-1\/3)\/y)*y*y**(-2\/5)*y*y*y**(-3\/11) assuming y is positive.\nAnswer: y**(5053\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24646, -24631, -24616?\n\"Answer: 15*u - 24661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 77 - 15 = -4*t, 0 = 2*t - 4*o - 46. What is the third derivative of t*y - 15*y**6 - y**4 + 24*y - 6*y**2 - 50*y wrt y?\nAnswer: -1800*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4746, 6799, 10212, 14979, 21094, 28551, 37344, 47467?\nAnswer: 58914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 3*z**2 + 2*z + 1. Let j be h(-3). Let o = 4 + j. Does 21 divide ((-3)\/(-3) - o) + 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57826141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 23.4?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide (318\/(-10))\/((-3)\/270)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 823639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.222, -1, -288?\nAnswer: 0.222","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(264)\/sqrt(108))\/(sqrt(121)\/sqrt(44)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 1:47 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -16, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354 + -359.07. Let z = s - -0.07. Sort z, 0.3, -3 in ascending order.\nAnswer: z, -3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.9 (b) 2\/9 (c) -8\/7 (d) -100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 4. Let m(n) = 9*n - 17. Let z be m(11). Suppose f*a = z - 22. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 divided by -654440\nAnswer: 113\/654440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -g - 4*s, s + 0*s = -5*g + 363. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25160 divided by 4?\nAnswer: 6290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 210186449 - 145321088. Suppose -3*x - 19813941 + g = 0. Let m = 2882860 + x. What is m rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s + 3*h, s - 2*h - 3 - 1 = 0. Suppose -4*f - 5*q = -f - 1555, -1044 = -s*f + 4*q. List the prime factors of f.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d - 2. Let n(l) = 11*l - 5. Suppose 0 = -15*h + 17*h - 250. Let g = 132 - h. Calculate g*j(w) - 3*n(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -21\/8, -2, -5, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**5 - 7878*g**4 - 1611096*g**3 - 87388512*g**2 - 155758464*g + 674085888 = 0 for g.\nAnswer: -2408, -108, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-84))\/(2\/(-1)*(-14)\/196).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 10*j + 139 = -9*j, 61 = 3*b - 5*j. Suppose t + t = 2*p - 158, 2*p + t - 164 = 0. Calculate the highest common factor of b and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1385 in descending order.\nAnswer: 4, 3, -1385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -15 + 37 - 5*g**2 + 4*g - 27 + g**3. Give s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, -19 in decreasing order.\nAnswer: -4, -19, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 + 10*f**4 - 8*f**4)*(-4*f + 3*f + 4*f + (-3*f - 2 + 2)*(-4 + 12 + 0)).\nAnswer: -168*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/(((-2288)\/(-80))\/(-13))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4372289785 to the nearest integer?\nAnswer: 66123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g - 7. Let h be t(9). What is the greatest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7373.355648 - -7605.15563733. Let f = s + -231.8. Round f to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from wuwvunooffvvuu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39779.63 litres to millilitres.\nAnswer: 39779630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**2 - l - 10. Let w(t) = 1. Let g(n) = 2*w(n) + x(n). Suppose -j = -5*i + 13, 3 - 7 = 4*j - 4*i. Calculate g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/264558 and 83\/44798488.\nAnswer: 134395464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g + 368. Let k be z(-37). Sort k, 3, -6 in decreasing order.\nAnswer: 3, k, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 + 0 = 0. Let n = 0 + d. Let t(s) = -s**3 + s**2 + s. Calculate t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26*-130\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -916619, -0.04, 1\/3?\nAnswer: -916619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-8)*(896\/24)\/4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u = -18*u + 22231800. Round u to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25940 and 10600.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*j + 45387 = -39713. What is the lowest common multiple of j and 256?\nAnswer: 29440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*k**2 - 12*k**2 - 9*k**2)*(-4 + 1 + 2)*(-4 - 2 + 7)*(-6*k - 43 + 43).\nAnswer: -888*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625208 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233217312 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -139, -300, -521, -802?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.21 + 100.\nAnswer: 99.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -33.6. Let k = -34.06 + t. Put -5, -1\/4, k in descending order.\nAnswer: k, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 - 9\/5*g**5 + 1\/15*g**6 - 4 + 4*g + 59\/3*g**3 + 0*g**4. Find the second derivative of s(v) wrt v.\nAnswer: 24*v**2 - 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 31 + 91. Let q = 7 + p. Let l be 3\/((-12)\/q) - 6. Which is the nearest to 1? (a) -5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and -11567.96?\nAnswer: 11574.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 318 - 284. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 631152, 631152, 631150, 631146, 631140, 631132, 631122?\nAnswer: 631110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-92)\/6)\/(4\/(-24)). Suppose -5*x = -3*o + 337 - 83, -299 = -3*o - 4*x. Do o and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 0.4, 0.02.\nAnswer: -76, 0.02, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 36*j - 344. Let m be n(-9). Solve 8*i - 13 = -m for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + x = j + 11, -5*x + 50 = -4*j. Let b be (-2)\/(-5) - x\/15. Is b at least as big as 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2657*u**2 + 1612*u**2 - 2877*u**2)*(-2*u + 0*u + u)*(-u + u + 3*u) + 3*u**4 + 2*u**4 - 8*u**4.\nAnswer: -4179*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1524 and 1032.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (398 - 397).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*g - y - 1, -3*y + 15 = 3*g. Suppose 0 = g*l - 639 - 361. Let i = -104 + l. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*35.1\nAnswer: 7.371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488, -509, -210, 409?\nAnswer: 1348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 348696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 4. Let a be u(3). Suppose z + 2*o - a = 5*o, z - 2*o = 20. Suppose -2 = -6*l + z. Solve 2*j - l = 7*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -1 + (17 - -3)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76 - -68) + (-11 - 3) + -9.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 807337585619 + -0.1\nAnswer: 807337585618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6828414, 6828429, 6828454, 6828489?\n\"Answer: 5*m**2 + 6828409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g*g\/(g*g*g**(-2)*g*g*g))\/g*g**(-5)*((g**1*g)\/g)**39 assuming g is positive.\nAnswer: g**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 385885 equal to 385887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 2*o = -5*t, -3*o = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h + 2. Let k = -1368 - -1370. Calculate v(k).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -59\nAnswer: -649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*x = -18*x + 47124. What is the remainder when x is divided by 124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 101?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 25 - 111\/2*v**2 - 100*v. What is the first derivative of i(m) wrt m?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/3 - 0. Suppose -1\/3*j - b*j**2 + 0 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/22 (b) -1\/4 (c) -40 (d) 14\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 422*(9\/2 + (-19 - -15)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -9. Let k = -5 + x. Calculate the lowest common multiple of k and 11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**6\/120 + 2*m**5\/15 + m**4\/4 + 31*m**3\/6 - 45*m**2. Let c be x(9). Let u(l) = -l - 3. Give u(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 10:30 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 13) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/4 + 318*b**2 + 1275*b\/4 = 0.\nAnswer: -1, 0, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 467553437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m - 49. Let z(v) = 2. Let n(f) = -s(f) + 3*z(f). Find the first derivative of n(t) wrt t.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 - 105. Let m(d) = d + 10. Let g be m(-6). What is the remainder when a is divided by ((-18)\/g - -2)*(57 + -63)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 911 = 301. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54027, 57245, 60453, 63645, 66815, 69957, 73065, 76133?\nAnswer: 79155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(-3*sqrt(85) - sqrt(85) - sqrt(85))*4)\/(sqrt(125)*1*1 + sqrt(125)) + 2.\nAnswer: -4*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 33825912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (3 - (65 - 3)). Calculate the common denominator of (-4)\/(-6)*(-963)\/b and 25\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/(15 + -52 - 13)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.1. Let i be ((-1)\/4)\/((-2)\/(-12)). Let l = -4448 - -4447. Which is the closest to l? (a) h (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c - 15. Let g be k(-6). Suppose -48 = g*h - 60. Suppose h*a = 72 + 220. List the prime factors of a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*6\/24 + (-11)\/(-4). Let i(h) = 6*h**3 - 6*h**2 + 6*h + 4. Does 13 divide i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let h(f) be the third derivative of f**5\/12 + f**4\/12 - 68*f**2. Determine h(c(p)).\nAnswer: 5*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001195942 to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 8625?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6284, 6310, 6384, 6530, 6772, 7134, 7640, 8314?\n\"Answer: 4*u**3 - 2*u + 6282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/((sqrt(12) - sqrt(48))*-4))\/((1*sqrt(35))\/sqrt(7)*-5).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 25363.5693076.\nAnswer: 25363.3693076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25601476 - 0?\nAnswer: 25601476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 202000141?\nAnswer: 202000143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 172067701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 12709 and 13063 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*v - 225, -2*k = -4*v + v - 147. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2 + 4*z - 6. Let s be h(3). Let v = s - 42. Calculate the greatest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * -193.\nAnswer: -4053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:51 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u. Let q(g) = 4*g**2 + 7*g. Let j(n) = 2*n**2 + 3*n. Let o = -7 + 35. Suppose 0 = 5*m - m + o. Let w(s) = m*j(s) + 3*q(s). Give v(w(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 21.5. Let a = -22 + 6. Let t = o - a. What is the closest to -0.1 in -5, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1366*f*j**3 - 511*j**3 wrt f.\nAnswer: -1366*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -135 (c) -38.7 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {m: 5, l: 1, b: 2, c: 6, n: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {u: 1, r: 6, s: 1, w: 2, t: 3, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*981 - (-8 + 0 + 4). What is the third derivative of -a + 116*d**2 + 83*d**4 + 1966 wrt d?\nAnswer: 1992*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36307, 290579, 980829, 2325073, 4541327?\n\"Answer: 36336*d**3 - 27*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**3\/3 - 49*o**2\/2 - 9*o + 16. Calculate the remainder when 43 is divided by w(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let d be s(-3). Suppose d*i - i = 2. Suppose r = -4*o - i + 8, -2*o + 21 = 3*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*i - 50, -5*i = -i - 16. Suppose -4*j + h = -22. Suppose -3*y - 3*w + 4*w = -9, 5*y = -w + j. Solve l - y*l = -2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 2\/9 (c) 0.1 (d) -4\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(3) + 2)**2 - (sqrt(252) + -1)) + sqrt(84)\/(2*sqrt(12)) + 5.\nAnswer: -3*sqrt(7)\/2 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 2. Let y be n(-1). Calculate the common denominator of -49\/12 and y\/(-3) + 5634\/1080.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 16*p = -4*v + 9, 25 = -4*p + 5*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clclnnlclcllll. Give prob of picking 1 c and 2 l.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6515 (base 8) in base 6?\nAnswer: -23433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 1564422?\nAnswer: 17208642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Suppose -o + 2*o = 4. Let p(z) = -3*z + c*z - 3*z + o*z. Let b(j) = 4*j. Calculate b(p(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005267 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281 + -25. Let u = r - 1795\/7. Which is the nearest to -0.2? (a) -0.5 (b) 2\/11 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6848*l - 6841*l = -35. Put -4, -527, l, 3 in decreasing order.\nAnswer: 3, -4, l, -527","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 2. Is -4\/3 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/4 - 1047*z\/4 - 7035\/2.\nAnswer: -3*(z + 14)*(z + 335)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-8)*-3)\/(6\/48). Solve -d + 9 = i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 9*d - 10. Let m be z(-7). Suppose 2*r = 3*h - 41, -3*h + 3*r + 56 = m*r. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 + 44. Let h(g) = 8*g**2. Calculate d(h(w)).\nAnswer: -256*w**4 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, b: 3}. Give prob of picking 3 z and 1 b.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Which is the nearest to 0.3? (a) 3 (b) -62 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6*-1)\/((-7)\/378). Let f be y\/(-2)*46\/207. Sort -1, f, 18, -3 in decreasing order.\nAnswer: 18, -1, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561*f**3 + 280*f**3 + 3*f**2 + 283*f**3 - 119*f to n*f**3 + r + u*f**2 + i*f and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*h - 198*h - 36 = 0. What is the remainder when 45 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 241, 838, 2007, 3940, 6829?\nAnswer: 10866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -b - 7*k + 45, -2*b + 95 = 3*k. Suppose 0 = 3*s - i - 30, 4*s + 2*i - 50 = -s. What is the remainder when b is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 0 - (-12 + -8). Suppose 0*u + 2*u = d. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 75, 111, 145, 177, 207?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*d**2 + 14*d**2 - 36*d**2 + 3*d - 19 + (-37*d + 55*d + 49*d)*(0 + 0 - 2)*(-d + 0*d + 7*d)*(-5 + 2 + 4).\nAnswer: -805*d**2 + 3*d - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.7, -2, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose -87 = 9*a - 33. Let c be (5 + a)\/((-4)\/(-16)). Sort q, 7, c in descending order.\nAnswer: 7, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**5 + 2*w**5 - 4*w**5)*(-1 + 2 - 9) - 3*w**5 + w**5 - 2*w**5 + (w**2 + 4*w - 4*w)*(30*w + 20*w**3 - 30*w).\nAnswer: 32*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 957760 and 6260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**7\/21 + w**6\/5 - w**5\/5 - 7*w. Determine t, given that f(t) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-7)\/(14\/(-8)). Let b(y) = y**2 + 5*y + 4. Let n be b(w). What is the derivative of 8 + 0*s**2 - 4*s**2 + 4*s**2 - 13*s**n wrt s?\nAnswer: -52*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155782471?\nAnswer: 13, 31, 61, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80345509 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -201, -399, -595, -789?\n\"Answer: x**2 - 201*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -27540 divided by -6\nAnswer: 4590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 467.464 milligrams?\nAnswer: 0.000467464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 35117*z - 24051*z - 29.\nAnswer: 11066*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.007. Let z = 1799.113 + -1800. Let x = h - z. Round x to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.4 - -25. Let g = 5.1 + -2.1. Which is the third biggest value? (a) h (b) 5 (c) -5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2. Suppose 4*i - 9 = -a + 2*a, 0 = -4*i + 3*a + 19. Sort k, i, 0.\nAnswer: 0, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 4*x**3 - 3*x**3)*(2*x + 2 - 2 + (-2 + 2 - 1)*(-x - 4*x + 4*x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4941 and 185544.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 54 = i + 3*d, 219 = -4*i - 5*d. Let q = i + 56. Solve 2*j - 4 = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -24 - -32) + -21 + (7 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52490215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1078, -1818, -2580, -3376, -4218, -5118, -6088, -7140?\n\"Answer: -2*k**3 + k**2 - 729*k - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.847 + -5.847. Let a be 5\/1*1\/(-1). Let p = 0.01 + 0. What is the second smallest value in p, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*t + 19*t + 663 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*z = 125*z + 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.39838147 and 0.5.\nAnswer: -0.199190735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Let r be (-3)\/18*(3 + -5). Let j = 0.05 + -0.35. What is the closest to r in i, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1597204?\nAnswer: 2, 7, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1193, 2, -2, -9, -1 in decreasing order.\nAnswer: 2, -1, -2, -9, -1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2023868*g**2*m + 6462*g*m - 70*g + m wrt g.\nAnswer: 4047736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -69, -126, -207, -312?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - s + 4. Let u be y(-3). Let m = 261\/5 - u. Let p = -60\/217 + -2\/217. What is the smallest value in m, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 17, 2\/5, -1\/9, 426, -4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 118 - 153 = 0. Solve -5*u - 10 = -p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-16)\/12 - -2) + 173420\/78 is divided by 549.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by -2\nAnswer: -47\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 157, 233, 307?\n\"Answer: -o**2 + 81*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 860804920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, n: 1, e: 5}. Give prob of picking 1 n and 1 u.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 3, 7, -0.209?\nAnswer: -0.209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1158*h**2*m**2 - 2*h**2*m + 45*h*m**2 - 1243141*m**2 wrt h.\nAnswer: 2316*h*m**2 - 4*h*m + 45*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 3*h**2 - 78*h - 94. Determine n(0).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 124\/531 - 2\/177. Let g = 896 + -8056\/9. Factor -g*y + 8\/9 + r*y**2.\nAnswer: 2*(y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + 233?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*s = 628*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 11:25 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 + 590. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-70)\/60 + 273\/18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*t**2)*(-2 + 2 - t)*(-5*t + 4*t + 0*t)*(-3 + 5 + 1).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + g - 2)*(g**2 + 0*g**2 + g**2) - 3*g**3 - 4*g**3 + 4*g**3 + 10 - 4*g**3 - g - 10.\nAnswer: -5*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 3*n + 3*n - n + 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 87*i**2 - 7*i - 307. Is u(-10) a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -71. Solve -2*m + 0*c + 3*c = 11, 2*c - 4 = o*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 128577*k**2\/2.\nAnswer: -k**2*(k + 257154)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 2. Which is the closest to y? (a) -3\/8 (b) -1\/2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 182, 364, 572, 818, 1114, 1472?\n\"Answer: 2*z**3 + z**2 + 165*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181011346?\nAnswer: 2, 131, 523, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**31\/(m**(1\/17)\/m))\/(m**(4\/3)\/m*m**(-7\/6)*m*m*m))**(-7) assuming m is positive.\nAnswer: m**(-21259\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**34*r)\/r)\/r**(24\/5)*r**(2\/9)*r*r*r**16 assuming r is positive.\nAnswer: r**(2134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/23)*m**5)\/((m*m**(-5))\/(m\/(m\/(m**0\/m)*m))))**(1\/11) assuming m is positive.\nAnswer: m**(159\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18 + -b270047?\nAnswer: -b270063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17532174 is divided by 17532124?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + 2 + sqrt(3) + -4)**2 + (6*(-1*sqrt(3))**2 - (-1 + sqrt(192) + sqrt(192))))*2.\nAnswer: -288*sqrt(3) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + c**2)*(-5 + 3 + 1)*(-2 + 0 - 3).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 296223969 to the power of 1\/2, to the nearest integer?\nAnswer: 17211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 1}. What is prob of picking 3 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeuu when four letters picked without replacement from {e: 3, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 82*f**3\/15 - 41080*f**2\/3 - 833926*f\/5 - 20136 = 0.\nAnswer: -12, -5\/41, 2517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616443 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55782995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.2 - -59.198306. Round h to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 771*k = 21*r + 775*k - 176, -186 = 2*r - 3*k - 196 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 7*c + 145, -482*c + 478*c = -r - 103 - 7 for r.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + -104?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (17 - (-18 - -28)) + 1*1304 is divided by 94?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d91 (base 14) to base 16\nAnswer: -a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 22*t. What is the remainder when n(1) is divided by (-46)\/(-4) - ((-14)\/4)\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 5:07 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p - 16*p + 174994 = 0. Calculate the remainder when p is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -70.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 41. Which is bigger: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 11) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7985*i - 130. Let s be g(11). Suppose 11*v + s = 56*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 - -4 - (-12 + 0). Which is greater: r or 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126 by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/7380 and 157\/477240.\nAnswer: 1431720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78\/2*4\/(-3). Let w = g + 72. Calculate the greatest common divisor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 - -6) - 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 950692856 to the power of 1\/2, to the nearest integer?\nAnswer: 30833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 0.06 (b) 2\/7 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r + 5. Determine t(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(8\/50)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -106079\/30 - -3533. Find the common denominator of i and 29\/57.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64b906c - -1?\nAnswer: 64b906d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9344, 17303, 30562, 49115, 72956, 102079, 136478?\nAnswer: 176147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1204\/(-258)*150\/140*-100)\/4.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4\/2 + 3*m**3\/2 + 67*m**2\/2 + 213*m\/2 + 99 = 0.\nAnswer: -3, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.9.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 + 17 - 23 + 0*a**2 + 2*a**3 + 9*a - a**3. Suppose 140 = 6*r + 104. Determine b(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.8 + -167.2. Let w = f - -169.12. Let d = w + 4. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 6*n - 8*y - 214 = -228, 4*n + y - 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c**2. Let i(g) = 14*g + 83. What is i(a(j))?\nAnswer: 112*j**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 2*p)*(61 + 74 - 145 + 5*p) + 0 + p**2 + 0.\nAnswer: 6*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -513\/5. Let z = 6 - 4. Let j be 9\/(-5)*(6 - 69\/9). Which is the biggest value? (a) z (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -133.12.\nAnswer: 133.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 111607 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27314\/27 + -2048\/27. Let z = n + -939. What is the common denominator of 95\/6 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = 1. Let s = 39 - q. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (10 + (-7 - 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/6 + 2*f**2 + 2*f. Let p be i(-8). Let o = -299\/5 - -60. What is the nearest to -1\/3 in 2\/7, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 39326.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.012, -1, -2, 5.\nAnswer: -2, -1, 0.012, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/(b\/((b\/(b\/b**(1\/2))*b)\/b)))\/b*b))**49)**(-35) assuming b is positive.\nAnswer: b**(1715\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*g + 3*g + 126, -s + 4*g = -38. What is the remainder when s is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*y + 71*y - 805 = 143 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 643439904?\nAnswer: 643439904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t - 4*m - 24, 2*t + 5*m - 60 = 0. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + c - 36, 0 = 6*x - 4*x + c - 12. Let a(j) = 4*j**2 - 11*j + 20*j + 2*j**2 - x - j**3. What is a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -5, 1 in ascending order.\nAnswer: -5, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f - 66. What is z(-15)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -541405 and -339.48.\nAnswer: -541744.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s + 5. Let o be g(0). Let t = o + -2. What is the third derivative of -t*u**2 + u**5 + 4*u**2 - 3*u**2 wrt u?\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -502 - -527.2. Let h = l - 22.2. What is the second biggest value in -4, h, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9043, 18127, 27211, 36295, 45379?\nAnswer: 54463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000922 plus -0.14593?\nAnswer: -0.145008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-21) + ((-40800)\/(-168))\/25?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(98) + sqrt(98)*-2) - sqrt(98)) + -3 + 3.\nAnswer: -28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, -2, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6 - 6*j - 3 + j. Let m(i) = -14*i + 8. Calculate -4*m(b) + 11*v(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 73?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**3 + 2*i + 1. Let l be v(-1). Suppose -l*y + 63 = -23. Suppose y - 13 = t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21270652 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.95221ml in litres?\nAnswer: 0.01695221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 43.5 or 0.015?\nAnswer: 43.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052106 less than -19.7027?\nAnswer: -19.650594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 360945 and 3702?\nAnswer: 721890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a - 4*a - 5*a)*(-2 - 1 + 2)*(8 + 6 - 3).\nAnswer: 33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(255\/870)*7\/14\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3 - 94112*t**2 + 368542080*t + 3941830656.\nAnswer: 2*(t - 7848)**2*(3*t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**7\/252 - 5*y**6\/18 - 25*y**5\/6 + 3125*y**4\/9 + 100000*y**3\/9 + 400000*y**2\/3 - 1612*y. Solve v(l) = 0.\nAnswer: -10, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/120 - w**5\/10 + w**4\/6 + w**3\/3 + 49*w**2. Let s(f) = -f**3 + 8*f**2 + 11*f - 13. Let m be s(9). Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -242*m**5\/13 - 5346*m**4\/13 + 11280*m**3\/13 + 4096*m**2\/13 - 12288*m\/13 = 0.\nAnswer: -24, -1, 0, 16\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26829698 to the nearest integer?\nAnswer: 5180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.448443 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*((-5338)\/3 + 3). Let z = m - -74639\/14. Calculate the common denominator of 4\/6 - 663\/(-180) and z.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.81574cm to nanometers.\nAnswer: 808157400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**2. Let x(h) = -2*h + 1. Let g(d) = -d + 1. Let s(n) = -g(n) + x(n). Give s(o(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276471402.\nAnswer: 2, 3, 79, 583273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Suppose -71*f - 3906 = -89*f. Let j = f - 220. Sort -8, j, d, -4 in descending order.\nAnswer: d, j, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -3*3*1\/3. Let n(b) = b**2 - b. Let o(r) = 6*r**2 - 3*r. What is w*o(h) + 3*n(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*4\/4 + -2. Suppose y*k - k - 2*g + 5 = 0, 5*g = -5*k + 10. Let r(l) = 11*l + 1. Give r(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let l(o) = -2*o - 4. Let t(d) = -l(d) - 4*m(d). Let r(y) be the second derivative of y**3\/3 - 5*y**2\/2 - 3741*y. Give t(r(n)).\nAnswer: 4*n - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2053555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -14. Suppose g = 3*j - 5 - 1. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527015910 rounded to the nearest one million?\nAnswer: -1527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = 20. Let y = 8 + -3. Suppose 5*t - 45 = -4*u, y*u - 15 = 3*u + a*t. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)*m*m*m**22)\/((m\/(m\/(m*m**(-2\/7)\/m*m)))\/m*((m**(-11)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(2279\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*188\/((-86856)\/39501).\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 784 and 128184.\nAnswer: 256368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.459ns in microseconds?\nAnswer: 0.481459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.705 - 1.7049987. Round p to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 5*w - 5. Suppose -4*a + 39 - 11 = 0. What is the units digit of j(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1*(-15)\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36181 and 41710?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31843.\nAnswer: 7, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -12*w. Suppose -6*m + 8*m - 48 = w. Suppose x = -x + m. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s - 3. Let c = -2 + -2. Let q be z(c). Let f be (-8)\/((-1008)\/49)*(-44)\/77. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Divide -942 by -3.\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6 + 4\/(-6))\/(221354\/978 - 227)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -172*b - 3799. Calculate the remainder when 1566 is divided by a(-23).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.965754 + 26.0342. Let v = -57.9263 - 0.0737. Let l = v + g. Round l to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 142\/3 + 145\/6*r**2 + 214\/3*r + 1\/6*r**3 = 0. Calculate r.\nAnswer: -142, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/2 + 7*t**3 - 3079*t**2\/2 - 12508*t = 0.\nAnswer: -59, -8, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**2 - 53*v - 532. Give u(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, e: 5, a: 5}. Give prob of picking 3 e.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a4 + -f?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/115, -2\/7, 4\/9, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 25 = 534. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2 = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 + 2*b + 2*b - 2*b.\nAnswer: 21*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189678.\nAnswer: 2, 3, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4120, -4213, -4310, -4411, -4516, -4625?\nAnswer: -4738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39990630 by 39990630.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 5. Let f(u) = -u + 5. Let h(y) = 6*f(y) + 5*g(y). Calculate h(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 11:39 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 7*t, 4*w - 48 = t - 60 + 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/(w*w*w*w**(-7\/3)*w*w))*w**(4\/9)*w*(w**8*w)\/w*w**(4\/5) assuming w is positive.\nAnswer: w**(581\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0416 - 0.4584. Let v be -1*(3 - 2)*-1. Suppose 4 = -3*k + v. What is the closest to k in 1, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -232, -343, -448, -547, -640?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((-2)\/5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 3446?\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 take away 0.051?\nAnswer: -187.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/3774 and 5\/94.\nAnswer: 177378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/24*(-21)\/49.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*g**3 + 19 - 19 + (-4*g + 2*g + 3*g)*(g**2 - 2*g**2 + 2*g**2) to l + n*g + a*g**2 + h*g**3 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 7*n + 202. Calculate the remainder when n is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**3*y + 40328*p**3 - 19*p**2*y - 2*p**2 - 19*p*y + 5*y - 1 wrt p.\nAnswer: -12*y + 241968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*y - 53 + 53)*(y + 2*y - 4*y + 0*y + 3*y - 2*y + (1 + 4 - 4)*(31 - 31 - 6*y)) in the form w*y + p*y**2 + u and give p.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54, -120, -186, -252, -318?\n\"Answer: -66*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3735700 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udxc when four letters picked without replacement from jxcedue?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1168, -1096, -984, -838, -664, -468, -256?\n\"Answer: -h**3 + 26*h**2 + h - 1194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2484 - -2483.992825. What is s rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2273*o**2. Let b(k) = 45519*k**2. Give b(q(g)).\nAnswer: 235175233551*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 371*f**2 - 99*f + 292. List the prime factors of j(3).\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**3 - 45*z**2 - 3*z wrt z.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 795 + -2389\/3. Which is the closest to 0.1? (a) -5 (b) 4\/5 (c) 0 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-14))\/(-3))\/(26\/(-91))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 3, -348, -0.87.\nAnswer: -348, -0.87, -1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1969*z + 12. Let c(d) = 92548*d + 561. Give -8*c(t) + 374*r(t).\nAnswer: -3978*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.9 (b) -0.4 (c) 4 (d) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158.2 + 158. Sort i, -3, -0.03, 6 in increasing order.\nAnswer: -3, i, -0.03, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -27. Let k = -5 - d. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1307 + 1306.98. What is the nearest to 2\/5 in -1, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41687100 = 62*u + u. What is u rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -16.4. Let i(f) = 10*f**3 + 78*f**2 - 13*f + 6. Let n be i(-8). What is the second smallest value in n, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-351)\/(-182))\/(39\/364)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -44*j - 30. Let d = -283 - -281. Is 12 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0289 + 35.6711. Let g = v - 30.7. Sort g, -5, -38 in decreasing order.\nAnswer: g, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.13 - -6.13. Let n = -1203968 - -1203965.000065. Let c = w + n. What is c rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1138, 2273, 3404, 4531?\n\"Answer: -2*f**2 + 1141*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10615000 rounded to the nearest one hundred thousand?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -19. Let q be 6\/v + (-171)\/(-36). Let x = q - 1. What is the highest common factor of 15 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22560 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 243 = 4*w. Suppose 120 = 4*l - w. What is the first derivative of 49 + c**3 + 2*c**3 - l wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33643196*i**2 + 85928*i + 70 wrt i?\nAnswer: -67286392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*p = 6*x - 12, -5*x + 2*p + 28 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1039835 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 12.1. Let r(q) = -7*q - 57. Let x be r(-8). What is the closest to a in x, -2\/17, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17573688 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*t - 577*t + 288*t - 45.\nAnswer: -2*t - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/((-2)\/6*(-24)\/20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10751201.\nAnswer: 37, 277, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -5*t, -f + 3 = -4*f. Let g(c) = -1 - c**3 + 0 - c + 14. List the prime factors of g(t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798.2532l in millilitres?\nAnswer: 798253.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223393183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 358723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/(-319) + (-14)\/77.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**2*t**2 - 194*r**2*t - r*t**2 - r*t - 5*t**2 wrt r.\nAnswer: -6*t**2 - 388*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 0*i + 2*i)*(16 + 6 - 6) - 13*i + 24*i - 17*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q + 8. Suppose -6*a + 5 = -13. Let y be z(a). What is the greatest common divisor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 4 + 8 + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/(-371)*140\/15 + (-3)\/((-18)\/26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43026473*d - 2 + 43026638*d - 86053002*d.\nAnswer: 109*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/(-285))\/((-6)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3037 - -5700. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -4. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 <= 584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0026207 hours to nanoseconds.\nAnswer: 9434520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 20*d**2 + 71*d + 1. What is the tens digit of o(19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1357266, -1357268, -1357270, -1357272?\nAnswer: -1357274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37 - 24) + -18 - 30 - -105.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31520330 + -28991898. Let b = 60512229.94000154 + y. Let x = -1.94 + b. What is x rounded to seven decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 - -99 - (-1 + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i - 31. Let u be a(-7). Solve 4*t = -3*h + 9 - 26, u*t + 5*h + 23 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and -0.3839784.\nAnswer: -27.3839784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51035578186701398319876563917\/634506810 + 80433460102187710639. Let p = 2\/3732393 + f. Let s = p + -18\/85. Find the common denominator of -2\/7 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((0\/2)\/3)\/1. Suppose 3*s - s - 8 = z. Suppose f = s*f - 72. Calculate the greatest common factor of 36 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 20751 = 132795. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*k - 928 - 376, k - 5*h + 252 = 0. Is (k - (0 - -1))*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.990866g in tonnes?\nAnswer: 0.000007990866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k - 284 - 286 = -41*k. Calculate the greatest common factor of k and 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/8)\/((-1)\/(-4)). Suppose -z - 4*v = -22, -i = 2*v - 3*v. Suppose 0 = 4*c - z - 2. Let j(d) = -8*d + 1. Calculate j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151700 to the nearest one thousand.\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + t**5\/6 - 5*t**2. Let l be w(10). Suppose l = 3*f - 4*f + 3. Solve -f*b + 0 = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.039 + -1.961. What is the second smallest value in 1\/6, p, 4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.29 and -65662716952.\nAnswer: -65662716951.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h - 3. Suppose -4*v = -6*k + k + 47, -2*v - 27 = -3*k. Is 32 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Let f(d) = 149*d**2 + 334*d - 2299. What is s(f(c))?\nAnswer: -298*c**2 - 668*c + 4598","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 117\/(-6)*(-4)\/6. Suppose -m = -3*p + 77. Suppose -6*w + p = -w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - -0.29. Let i = -1406\/195 + 92\/13. Which is the fourth biggest value? (a) i (b) -2\/9 (c) g (d) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 5 (c) 1746\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2101 + 100311?\nAnswer: 32210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let f(y) = 228*y - 1 + 23*y + 34*y + 1. Determine f(s(h)).\nAnswer: 285*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 1359 = 343 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 446551084 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098\/7 + -8 + (-1160)\/(-140) is divided by -1 + 0\/1 + 103.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44aa (base 11) to base 9\nAnswer: -8116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*r + 5*a + 22, 4*a = 2*r + 16. Put -2, 0, r, -4 in ascending order.\nAnswer: r, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adi when three letters picked without replacement from ddaadiai?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2308073 by -6.\nAnswer: 2308073\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 0*o + 3*o - 1529162 + 1529159 = 4*a, 0 = -a - o + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 331212 + 2213020?\nAnswer: 3210232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87\/8, 43777, -1\/4, 2.\nAnswer: -1\/4, 2, 87\/8, 43777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:06 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.67 - 0.4.\nAnswer: 1.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643270795?\nAnswer: 3, 5, 11, 743, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/16 and -85\/75854768.\nAnswer: 75854768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 18. Let t be p(-11). Suppose s + 0 = 3. Let g be (-3 + s)\/(-1 - 1). Solve -v - t*v + 25 = -c, g = 2*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -8. Suppose 28 = 33*x - 32*x + 4*t, -3*t = 2*x - 26. Solve 0 = x*b + q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111100100110 (base 2) to base 9\nAnswer: -24152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(sqrt(7) + -1 + sqrt(7) + 3 + -5 + 1))**2.\nAnswer: -336*sqrt(7) + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*h = 98, -2*h = -3 - 3. Let z = -52 - q. What is the fourth smallest value in z, -4, -0.3, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 7*o + 8. Let v be w(-6). What is the third derivative of -2*s**v + 5*s**2 + 0 + 2*s**5 + 0 wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 31. What is the remainder when 61 is divided by s(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 - 74. Suppose 2*h = 2*s - 4 - 24, 0 = -u*s + 2*h + 47. Solve -3*m + s = -5*z, -3*m + 2 + 1 = 3*z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b\/(b*b*b\/b**(5\/3)*b)))\/b))\/((b\/b**(2\/3))\/b)*(b\/(b\/(b\/(((b*b**(2\/11))\/b*b)\/b)))*b)\/b**(3\/4) assuming b is positive.\nAnswer: b**(185\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*v*w**3 + v*w**2 - 4812*v - 37598*w**3 + 108*w wrt w.\nAnswer: 96*v*w + 2*v - 225588*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = -2*v, 5*v + 26 = -39*f + 43*f for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - k - 118 = -12, -s = -2*k - 30. Suppose 12 = 2*i - z - 12, -i = 3*z - s. Suppose u + 21 = 8*u. Calculate the remainder when i is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 0 - 5 + 3 + 2*t**4 + t - t**3 in the form k*t + l*t**2 + a*t**4 + w*t**3 + b and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let l(y) = 4*y + 2. Suppose -3*u + 0*u = 0. Let p(m) = -8 - 2*m + u + m. Let j be p(-9). Give j*l(x) - 3*c(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170\/7 - 24. Suppose -63*j + 340 = 5*j. Sort j, 3.9, m, 0.3 in decreasing order.\nAnswer: j, 3.9, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 294197*c**2\/4 - 5409528950*c + 5409455401.\nAnswer: -(c - 147098)**2*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 356861472*f**3 + 26684867*f**2 - 4.\nAnswer: 2141168832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 218252263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 16) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130 and 1118.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 156 = -2*z + 4*u, 0 = 4*z - u - 321. Calculate the highest common divisor of 260 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3*t**2 + 54187*p*t**2 - 2*p + 7189*t**2 wrt p.\nAnswer: -6*p**2*t**2 + 54187*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147*37\/(-5439))\/(10\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {f: 10, x: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neai when four letters picked without replacement from {a: 1, e: 3, k: 6, n: 3, i: 2}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 16*l + 10. Give o(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -121, -197, -275, -349, -413?\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279545632?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311\/20 + -59\/4. Let r = 100 + -100. Let p be (r + 4\/(-48))\/((-1)\/(-2)). Which is the third biggest value? (a) s (b) p (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 22, 35, 62, 109?\n\"Answer: r**3 - 2*r**2 + 4*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2. Let y(r) = -386*r**2 + 1. What is q(y(t))?\nAnswer: -595984*t**4 + 3088*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-132)\/(-126))\/((-20)\/(-6))*-13 - -3 and 129\/910?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*f + 96 = 0, -2*f = -7*c + 4*c + 248. Let a = c - 89. Let u(h) = 2*h**2 + 2*h + 1. Give u(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, 22, 2\/3, -1, 1, 2.\nAnswer: -1, -1\/15, 2\/3, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/2*5182*(1518\/46)\/(-33). Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -8*k**2 + 0 + 9*k**2 + 5*k - 2. Calculate p(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4369736036.\nAnswer: 2, 9839, 111031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 754692 and 1403244.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/4345?\nAnswer: -1\/4345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170 is divided by 55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15895022 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*l - i, -3*l + 99*i - 94*i + 40 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55376*h**4 + 45*h + 14.\nAnswer: -664512*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3204?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*(-440)\/33?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1156\/(-4046)*(-112)\/(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2877.0395 - -2877. Which is greater: j or -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3129 + 3734 = 55*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212515799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 6:54 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m + 4458 = -4687. Let l = 301 + m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/6*t**3 + 1\/60*t**5 + 2*t**2 + 0 + 32*t - 1\/8*t**4. Let u(w) be the first derivative of h(w). Calculate u(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 - 14 = 0. Let t be 1\/(0 - y\/(-6)). Solve 10*a**2 - 6*a**4 - 2*a**5 - 6*a**t + 13*a**2 - 25*a**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)\/t*t*t)**(-15\/4)*t\/((t**6\/t)\/t)*t**(3\/4) assuming t is positive.\nAnswer: t**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j - 8*j)*(j + j + 0*j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4290 and 34941621.\nAnswer: 349416210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5524?\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4314*s - 8 + 2 + 4310*s.\nAnswer: -4*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1276 and -52\/43171?\nAnswer: 55086196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 879.307 to the nearest ten.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - -18. Suppose -2*o + o = -j. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 824 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-410)\/120 + 4). Determine k, given that 0 + 0*k + 6\/7*k**2 - 11\/7*k**3 + 5\/7*k**5 - i*k**4 = 0.\nAnswer: -1, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72 + (-74 - (-193 + 13))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.1 (b) 2 (c) 1 (d) 0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 436.5 + -567. Let o = -20.5 + r. Let g = o + 151.000107. What is g rounded to 5 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - -2.57. Let m = f + -10.6. Let b = -9 - m. Which is smaller: 1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:20 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by 317.\nAnswer: 32\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 174746 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -302*m**2 + 25*m - 8. Calculate u(1).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3622002 (base 7) to base 4\nAnswer: -1300020033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 89*m. Let j(b) = 16*b - 370. Determine h(j(a)).\nAnswer: 256*a**2 - 10416*a + 103970","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 4. Let x(v) = -v**2 - v. Let f(p) = p**3 - 3*p**2 - 4*p. Let n(s) = a*x(s) - f(s). What is the second derivative of n(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2395 and 28261.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 14*k - 5. What is m(11)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-6))\/((-2)\/12). Solve -9 = r*m - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8\/5)\/(n*n**(5\/2)))\/(n**(-4))**(-34) assuming n is positive.\nAnswer: n**(-1411\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 161 = -2*o - 5*i, -2*o = 4*i + 278. Let z = 131 + o. Suppose 2*f = -z*s + 5*s + 21, 0 = -f - 2. Which is bigger: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4*(-2 - -1))\/(2\/11) is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*y + 45*y + 4*t + 22, -26 = -3*y + 2*t for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a week in minutes?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 75569759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -145*i**3*p + 77*i**3 + i*p**4 wrt p?\nAnswer: -145*i**3 + 4*i*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q + 6. Let t(k) = -3*k**2 - 2*k + 17. Calculate -3*t(c) + 8*v(c).\nAnswer: c**2 - 2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*u**2 + 51*u**2 + 57*u**2 + 46*u**2 - 4 + 4.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20982211 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71611438 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 90\/(-33)) + -2. Let h = m - -17\/22. Sort h, 2, 2\/19 in decreasing order.\nAnswer: 2, h, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -5*c**4\/24 + 23*c**3\/6 + 14*c**2. Differentiate k(m) with respect to m.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 - 18*u + 8. What is the smallest common multiple of 40 and t(-6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s - 898 = 3488. Which is the second biggest value? (a) -1\/4 (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 0 - (-8872)\/2. Let l be q\/220 - 4\/22. Solve 5*u + 37 = -4*n, 6*u + l = 2*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50803 - -17023. Round n to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -203, -51.\nAnswer: -203, -51, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13\/4, 3, 2\/13, 36\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 12 = -2*g, -2*n + 7*n = 4*g - 18. Let u be 0*(n - (0 - 3)). Solve -1 = -w - u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - (-12 - -6))\/(1\/(-13)). Calculate the highest common divisor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/715936 and 89\/5538.\nAnswer: 152494368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -273, -1, -36 in ascending order.\nAnswer: -273, -36, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.79 minus 1085?\nAnswer: -856.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*v - 10, -4*p - 245 = -v - 244. Let j = 0.07 + -0.12. Sort j, -0.5, p in ascending order.\nAnswer: p, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 7, -4*i = 38*t - 34*t - 275188. List the prime factors of t.\nAnswer: 2, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*j = 113*j - 152. Suppose -j*w = -17*w - 146. Does 47 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:10 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -7.4?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5))**17\/(b**(-1\/4))**(4\/5))**(3\/8) assuming b is positive.\nAnswer: b**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((6\/16)\/(17\/(-34)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 115. Let d be z(20). Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178252.021 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 4*p - 120, 7*p - 439 = 2*u - 364 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 22. Determine q, given that 10\/9*q**3 - 2\/9*q + 2\/9*q**2 + 2\/3*q**4 + t = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24364*k**3 - k + k + 21690*k**3.\nAnswer: -2674*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 14*d**2 - 4*d - 8. Let l(f) = -13*f**2 + 3*f + 7. Let z = 4705 + -4711. Calculate z*l(g) - 5*a(g).\nAnswer: 8*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66759\/58 or -1151?\nAnswer: -1151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4135 + 0.1065. Let d = 0.69 + 0.79. Let q = s + d. What is the second smallest value in -3, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04786 - 4.04786. What is the second smallest value in -0.102, 3\/5, f, 0.5?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 - j + 8. Let z be b(-9). Let r be (z\/(-12))\/(686\/6). Let i = r + 1\/343. Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451062 is divided by 43.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c119 (base 15) to base 2.\nAnswer: -1001111100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(4*a**2 + a + 0*a**2 - 2*a**2 - 5).\nAnswer: 2*a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {r: 1, c: 2, h: 1, o: 3, k: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 + -100. Suppose s = -0*l + 2*l + 9, l = h*s - 1. Which is smaller: -3\/98 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nuxuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -200852 (base 9) in base 3?\nAnswer: -20000221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 1:54 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -5*o**2\/2 - 2*o - 3. Let m(w) = 9*w + 4. Let a = -5457 + 5454. Give a*m(h) - 5*p(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5839 - 6?\nAnswer: 5833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-44))**(-25)*((m*m*m**(1\/7))\/((m*m**(-2))\/m*m))**(10\/11) assuming m is positive.\nAnswer: m**(7720\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.3 (b) 49 (c) 0.6 (d) -7 (e) 1433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*r + 0*r - 57 = 0, 5*v + 3*r - 138 = 0. Let i be (-1 + -22 - -2)*8\/(-24). Suppose 0 = i*t - v + 6. What is the remainder when 27 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 18. What is the remainder when k(9) is divided by (4\/(-3))\/(14\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29946, 119753, 269422, 478953, 748346, 1077601, 1466718?\n\"Answer: 29931*l**2 + 14*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15783963729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11015*d*r**3 - 6*d*r - 2*d - 143027*r**3 wrt d.\nAnswer: -11015*r**3 - 6*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-91)\/(-117)*-24*882\/(-343)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3424?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Suppose 7*j - 66 = 2*j + 4*v, -4*j - 5*v = -20. Let t be 10\/50 - 17\/j. Which is the biggest value? (a) t (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 4*c = 28, 48 - 14 = -5*z - 7*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 8*j**2 - 7*j + 4. Let p be v(-7). Solve 36 = -5*w + 4*s, -2*s + s = p*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6368 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1951, 3902, 5853, 7804, 9755?\nAnswer: 11706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 1:52 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(242*d**3 - 300*d**4 + 55*d**4 - 242*d**3) in the form i*d**3 + o + j*d + v*d**2 + w*d**4 and give w.\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3949407 and 278.\nAnswer: 7898814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505618561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -6\/17?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13*g**3 + 14*g**2 - 16*g + 11. Let o(r) = -7*r**3 - 6*r**2 + 7*r - 5. Let h(m) = -7*o(m) - 3*y(m). Determine h(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 6*z + 136 - 94, -5*z = -3*v + 46 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -6 - -21) + -8 - (1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppeepppepppppp. Give prob of sequence pp.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 12*d + 177 = -4*d - 255 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(105\/(-6)) - (-65)\/(-150).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = z - 2*t - 459, -4*t = 3*z - 1351. Suppose -1020 = 97*c - 102*c. Let n = z - c. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(147)*1 + sqrt(147)) + sqrt(147))\/sqrt(7))\/(sqrt(847) + sqrt(847) + (sqrt(847) - -4*-1*sqrt(847))))**2.\nAnswer: 243\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - x + 5. Let c(s) = -2*s + 15. Let o be c(5). Let m(q) = -9*q**2 + 3*q - 11. Determine o*l(f) + 2*m(f).\nAnswer: 2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9*(320\/540)\/8\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 + 5*s - 1. Let g be j(-4). Let i = -53 + g. Suppose -q + i = -3*n, 6*n - 170 = -5*q + n. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 34*s + 26. Is k(-28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2867*k + 5731*k + 220*k**2 - 2866*k - 272 + 409*k**2 wrt k.\nAnswer: 1258*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m. Let i be 6\/(-15) + (-146)\/10. Let v be ((-4)\/(-3))\/((-10)\/i). What are the prime factors of t(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 861412 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1072093741801 take away 0.1?\nAnswer: 1072093741800.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000100000111101111010110 - -1?\nAnswer: -10000100000111101111010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - (3 + -7 - -4). Calculate the greatest common factor of g and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f. Let y(g) = 4*g - 3. Let n(c) = -8 + 17 - 13 + 5*c. Let r(w) = -3*n(w) + 4*y(w). What is l(r(b))?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -184405100 rounded to the nearest one million?\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20020122112 (base 3) in base 14?\nAnswer: -32b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 3*l**2 - 4*l + 1. Let o be r(-3). What is the tens digit of o\/(-13) - (-19 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4801, -9590, -14369, -19132, -23873, -28586?\nAnswer: -33265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -187480 (base 10) to base 14\nAnswer: -4c476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1275112.\nAnswer: 1\/1275112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/7954 and 83\/1943492.\nAnswer: 79683172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.1 (c) 2\/33 (d) 32860 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 48 = v, v = -5*q - 3*v - 133. Let f = -14 - q. What is the first derivative of f + 7*r**3 - 20 + 6 wrt r?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14270 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10)*h**9\/h)\/(h\/((h**(-2\/9)\/h*h)\/h))**(-16) assuming h is positive.\nAnswer: h**(302\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - 3*sqrt(468) - (sqrt(13) + -4)**2*-6) + 2*(sqrt(104)\/sqrt(32))**2 + 0.\nAnswer: -65*sqrt(13) + 361\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -35 - (-1968 - -1990)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - m**3 + 3*m**3)*(1 + 2 - 1)*(-2 + 3 + 1)*(15 - 8 - 5 + m) + (-2 + m + 2)*(-3*m**3 + m**3 + m**3).\nAnswer: 3*m**4 + 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a day in seconds?\nAnswer: 77760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101320 divided by 2980\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 4. Let s = -13 - -18. Let p be f(s). Let r(b) = -b. Let g(w) = -4*w**2 + 5*w - 3. Let l(t) = p*g(t) - 5*r(t). Differentiate l(y) wrt y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 0, -819 in descending order.\nAnswer: 0, -177, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 7 + 7. Let s = a + -42. Let n = 46 + s. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -127546, -254979, -382344, -509641?\nAnswer: -636870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7032075 or -7032079?\nAnswer: -7032075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from susouuu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 divided by -4?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 + 0*p**2 + 15*p - 8*p + p**2. Let b(z) be the first derivative of -53*z**2 + 29*z**2 - 53 - 23 + 25*z**2. Determine s(b(t)).\nAnswer: -16*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 2:37 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/sqrt(90))\/(-2*sqrt(448)))**2.\nAnswer: 1\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2534376 is divided by 2527.\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*o - 1722, 3*y + 2*o = 836 + 4398. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2589902917 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/6 + 22*x + 2. Let s(j) = 25*j - 1. Calculate g(s(a)).\nAnswer: 1250*a**2 - 100*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103 - (82 + -18)) + 26?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99020*g**4 - 140874*g**2.\nAnswer: -2376480*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/7 + 113418584*q\/7 + 113418586\/7 = 0. Calculate q.\nAnswer: -1, 56709293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 - -63\/2. Let v = 39\/86 - -2\/43. Sort -2\/7, p, v.\nAnswer: p, -2\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 655159 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wwkwwwkru.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1483, 1485, 1489, 1495, 1503?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 186*m**2 + 133.\nAnswer: -186*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/8*(-9)\/2*59\/(3127\/106).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*b**3 + 251*b**3 - 497*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let j = 2 - f. Suppose -3*r = 2*r - 45. What is the greatest common divisor of r and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3872\/5*h + 0 + 2728*h**2 - 3504\/5*h**3 + 234\/5*h**4.\nAnswer: 2*h*(3*h - 22)**2*(13*h - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bybbyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdd when three letters picked without replacement from {d: 7, v: 12}.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1. Let y(j) = j**3 + 7*j**2 + 7. What is -5*r(c) + y(c)?\nAnswer: c**3 + 7*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246 - 102*t**4 + 1960*t**4 + 440*t**4 + 13 + 34 wrt t.\nAnswer: 9192*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160 by 32.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**6\/30 + o**5\/4 - 2*o**4\/3 + 2*o**3\/3 - 12*o. Factor y(f).\nAnswer: -f*(f - 2)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79500859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 6:23 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22842)\/10528*-56*3*(-1)\/(-54)?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4650 divided by 31\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-409807)\/(-2))\/(126\/12 + -12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/1)\/(1\/(-3)). Let u be -3*((-8)\/s - 2). Let z(j) = 3*j + 0*j + 2*j - 3*j - 3 - j**3. What is z(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 488*q - 9 = 483*q, 18 = 3*l + 3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 1152\/7*f**2 + 50\/7 + 480\/7*f = 0.\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001537932 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b9 + 1?\nAnswer: -16b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32310 and 25130?\nAnswer: 226170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96001 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 20, a - 89 = -5*d + d. Suppose -105*r + a*r = 900. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 - 70*i**2 + 114*i + 52. Let g be o(-36). Let m = g + 1461. Let j = 1 - 1.2. What is the nearest to j in m, -1\/8, -2\/7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -3 (b) 2\/287 (c) 0 (d) 5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -100*r**2 - 13*r - 3. Let f(u) = 67*u**2 + 9*u + 2. Calculate -7*f(v) - 5*k(v).\nAnswer: 31*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13128490087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -25. Let f(j) = -3*j - 1. What is f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**5\/60 - 3*r**4\/8 - 11*r**3\/6 + 7*r**2. Let k be c(-7). Suppose 0 = -k*s + 4*s - 25. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59 - 39. Suppose 16*n - d*n = 12. Sort 0, n, -4 in ascending order.\nAnswer: -4, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12003203 - -33133?\nAnswer: 12103002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, g: 1, c: 3, i: 7}. Give prob of sequence lgic.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 502677013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2375378 + 2375378 + 254*d**2 - 256*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u - 3 + 4*u - u + (1 + 0 + 0)*(0 - 2 - 28)*(9*u + 6*u - 14*u) to the form y + q*u and give q.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10742\/1329 - 1\/1772. Let x = 35\/4 + o. Let v = -2.4 - -0.4. What is the nearest to 0.1 in x, -3, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 13, 4, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5016, 5036, 5056, 5076, 5096, 5116?\nAnswer: 5136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18d2a (base 15) to base 8.\nAnswer: -235316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3 + (-3 + 1 + 1)*(2 - 2 + 1) + 4 + 2 - 5 + 4 - 5 - 1 + (4 - 5 + 2)*(4 + 0 - 3) - 2 - 4 + 5)*(-9*x**4 + 4*x**4 + 4*x**4).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1267, -4, 4 in ascending order.\nAnswer: -4, 0, 4, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*v. Let y be (-2)\/(-1)*4\/v. What is the second derivative of 0*l - 2*l + 0*l**4 + 2*l**y wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-4)*k)\/((k*k**(-16))\/k) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 5*c**2 + 24 - 43.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:06 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -y - 509980, 5*y + 1460029 + 1089966 = x. What is y rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 9) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008)*1 + 2 + 4 + -1 + sqrt(1008) + sqrt(1008) + 1 + -5 + (-3 + 0 + sqrt(1008))**2.\nAnswer: -36*sqrt(7) + 1018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - -1?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 - -132. Suppose -3*d + n = -c, 0*c - 2*c - 44 = -2*d. Let j = d + 2. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 247, -5.\nAnswer: -5, 5, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -420 - -899. Is 42 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 9:45 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 c when three letters picked without replacement from {c: 6, i: 1, v: 7}.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679591681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17479953*d*j**3 + 2*d*j**2 + 663*d*j + j + 2196 wrt j.\nAnswer: -104879718*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 37, 79, 121, 163?\n\"Answer: 42*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 153*r**3 + 4*r**2 - 4*r - 4. Let t(q) = -152*q**3 - 3*q**2 + 3*q + 3. Calculate -4*t(j) - 3*y(j).\nAnswer: 149*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.08281, -0.2, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-4 - (-220 + 114)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 16) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, n: 10}. What is prob of picking 3 v?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 5*z - 4. Suppose 2*w + 5 = -3*l, -4*w + 5*l - 2 = 3*l. Let d(h) = h**2 - h + 1. Determine w*x(u) - 4*d(u).\nAnswer: u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 368*w**2\/3 + 1493*w\/3 - 620.\nAnswer: -(w - 372)*(w - 1)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-27))\/((-15)\/5)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.8*15285386\nAnswer: 42799080.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-262 - -3 - -2 - 3). Calculate the greatest common divisor of 74 and m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6312030 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0.9. Let f = -167 - -1167\/7. Put u, 5, f in descending order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60336406.\nAnswer: 2, 13, 23, 163, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1323 and 41013.\nAnswer: 41013","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*d + 5*z + 24, -22 = -4*d + 3*z. Sort -42, d, -5 in decreasing order.\nAnswer: d, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211941 divided by 9\nAnswer: -23549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 488 = -2*u, 4*w - 612 - 57 = -u. Suppose -4*n - j = 2*j - 668, 0 = n + j - w. Suppose -k = -z + n, -5*z = 3*k - 124 - 702. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 4*u + 11*u**3 - 6*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*h + 105*h + 40 = 0. Suppose 4*i - h*n = 2, 5*n + 3 - 4 = 3*i. Factor -6\/7*l**2 + 2\/7*l**4 + 2\/7*l**i + 4\/7 - 2\/7*l.\nAnswer: 2*(l - 1)**2*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, o: 1, h: 1, u: 1}. What is prob of picking 1 v and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:31 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 694744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 631*i**4 - 934*i**3 - 24321*i**2 - 50940*i - 11232 = 0.\nAnswer: -3, -1\/4, 8, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 568622 is divided by 110.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.0026um to nanometers.\nAnswer: 15002.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6143915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*r + 37, -g + 2*r + 30 = 4*g. Suppose 0 = -2*n + 6*n - 8, -g = -m + n. Let p(z) = -6*z - 2 + 4 + 5 + 7*z. Calculate p(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104572803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 3, k: 2, u: 5}. What is prob of picking 2 x and 2 s?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-8)\/(-3)) + 7263\/(-1076) - 9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)*-3*6)\/((sqrt(176)\/sqrt(8))\/sqrt(11)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 406898809*y**3 + 13618*y**2 - 764 wrt y?\nAnswer: 2441392854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 211497 divided by 221\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 1. Let c be u(8). Let k = c + 9. Let p = 2.8 - 0.8. What is the closest to 1\/4 in k, -1, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -2\/5 (b) 2\/31 (c) 0 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 98 = -2*f, 3*r + 5*f + 9407 = 9652 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/15 (b) 5 (c) 0.1 (d) 2779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15 + (-6)\/(-3) - 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Find the second derivative of -w*f**5 - 8*f + 2*f**5 - f wrt f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8165881 to the nearest integer?\nAnswer: 2858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t. Let d be g(-2). Solve 2*r - d*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-5)*w)\/w*w\/(w\/w**(-6)))\/(w*(w\/(w\/(w**(2\/9)\/w)))\/w)**(-1\/24))**10)**27 assuming w is positive.\nAnswer: w**(-11915\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 4*u**2 - 4. Let k(j) = -6*j**3 + 9*j**2 + 9. Give -4*k(x) - 9*t(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f**4\/17 - 123034*f**3\/17 + 263368*f**2\/17 + 109592*f - 3795552\/17 = 0.\nAnswer: -27\/7, 2, 4, 8786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3.62 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21438 + -21440. Let j = -4.6 - 0.4. Which is the third smallest value? (a) j (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49925 >= 49925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {c: 1, e: 2, u: 5, a: 7, w: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20303267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Suppose 0 = -2*r + 2*u + 2, 3*r - 4*r + 3*u + 1 = 0. What is the nearest to g in 0.4, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.059 and -75?\nAnswer: 4.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 52*w**2 - 283*w - 280. Let i be p(57). Put 2, 1, i, -3 in increasing order.\nAnswer: i, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 + 12*p - 1. Let o(d) = -d**2 + d. Let y(n) = 5*o(n) - x(n). What are the prime factors of y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.2595 and -638.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-3)*(-2)\/(-7). Let g = -4 + 7. Suppose 7 = x + g*s + 15, -6 = -x + 4*s. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22610651621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 18*j**2 + 4*j + 8. Let y = -103 - -101. Let v = 6 - -9. What is the remainder when c(y) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5012 in 75, 8, 5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/60 + t**4\/8 + 5*t**3\/6 - t**2. Let p be s(-5). Let k be 166494\/15 + 6\/p. Round k to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-20)\/(-22)) - (-4 - -11). Let s = -12 + 12.7. What is the closest to s in 3\/4, -4, d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1703223?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 267.\nAnswer: 37380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtbbtwtbwwb. What is prob of sequence bwb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -28. Suppose 3*d + m = 6*d. Let r = d - 10. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 10*o - 9. Let h be p(-15). Suppose 3633 = 9*w - h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 5 = 3*i - 1, 5*i - 11 = 2*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 16) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 7 + 25 = 5*d, 2*d - 5*t = 21. Find the common denominator of ((-2)\/d)\/((-1)\/(404\/(-80))) and -49\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((26\/(-39))\/2)\/(2\/(-39126)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4544*z**2 - 11*z + 11. Let g(w) = 1515*w**2 + 4*w - 4. Calculate -22*g(a) - 8*h(a).\nAnswer: 3022*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 606 - 603. What is the third derivative of -5*v**5 + 44*v**n + 141*v**2 - 38*v**3 + 7*v**3 + 24*v**2 wrt v?\nAnswer: -300*v**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.3339 * -0.6\nAnswer: -3.20034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53 + 61)\/(104\/(-429)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + 0)*7\/2. Let l be ((-6)\/21)\/((-9)\/x). Let m be 2\/(-6) - (-2)\/(-3). Which is bigger: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 4 = 24*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmmllnhnhh. Give prob of picking 2 n and 1 l.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + w - 6. Suppose 12 = 13*z - 40. Calculate the smallest common multiple of a(-5) and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4060.\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 59*g + 222. Let z(p) = -45*p - 220. Calculate -4*k(a) - 5*z(a).\nAnswer: -11*a + 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17106898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6750\/(-12))\/(1\/(-2)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2123 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*j**2*k + 2*i*j + 8*i*k - 2310*j**3*k - 2*j**2*k - 32*k - 7 wrt j?\nAnswer: 4*i*k - 13860*j*k - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-5)\/(90\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*w = n + 17, 4*w - 4 = 0. Let d be (-11 - n) + (2 - 3)*-12. Solve 10*s + 4*l = 5*s + d, -5*s = -3*l + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5 - 6*d**4 + 22*d**3 + 6*d**2 - 20*d = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 948 and 114234.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**3\/13 - 10*i**2\/13 + 50*i\/13 + 250\/13 = 0. Calculate i.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2074, 17207, 58478, 138961, 271730, 469859?\nAnswer: 746422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/119)*j*j)\/j**(-3\/17))\/(j**(-3\/2)*j*((j\/j**(-11))\/j)\/j*j) assuming j is positive.\nAnswer: j**(-1985\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1702052741?\nAnswer: 8059, 211199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(405) - (2 + (sqrt(405) + -1)**2 + sqrt(405)) - (-1*sqrt(405)*5)**2) + 4)*5 + -4.\nAnswer: -270*sqrt(5) + 158008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-20))\/(8\/(-14)*(-2030)\/100)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1475781561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 5*c + 1 - c)*(-4*c**3 + 5*c**3 - 3*c**3) as q*c**4 + i + m*c**2 + w*c**3 + u*c and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(25 - 10*m - 25) - 1 + 2*m + 1 + 51*m - 21*m - 24*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 89. Suppose -x = 4*x - q. Suppose -19*v = -15*v - x. What is the least common multiple of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 5824824.\nAnswer: -34948944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/60 + q**4\/24 + q**3\/3 - 3*q**2. Let c be u(2). What is the nearest to 1 in -3, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-18)\/(-162)*(-1)\/(-4)*(-1200)\/420.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 - 36*v**2 + 65*v - 176. What is q(17)?\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37441\/177 or 213?\nAnswer: 37441\/177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67071568*a**2 - 22084254.\nAnswer: 134143136*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 7 + 4*i - 18)*(-941 + 43 + 278)*(-i**3 + 0 + 0) to the form d*i**4 + j*i**2 + r*i**3 + g + x*i and give r.\nAnswer: -1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/126 + (-5)\/35?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-192)\/(-5) + (-18)\/(-30). Suppose d = 2*z + 4*m + 7, -3*m + 3 = -2*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19994922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j. Let m(q) = -1226*q. Determine m(o(d)).\nAnswer: -1226*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5054 - 1631. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23530200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3096 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -622, -2265, -4560, -7141, -9642?\n\"Answer: 61*v**3 - 692*v**2 + 6*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m + 28 = 4*g, 0 = 2*g + 4*m + 6. Let k = g + 29. Suppose r - k = 27. Calculate the remainder when r is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0 + 3*v**2 + 7*v - 1\/6*v**3. Suppose o + 3*z = -1, -4*z = -o + 8 + 5. Give k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 250711*r + 250713*r = 16, -2*r = -q - 31 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-1 - 3) + 5 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, a: 6, f: 3, h: 2, b: 4}. Give prob of sequence bbb.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m - 8, 0 = 4*w + 3*m - 1202928. Let o = 172335 - w. Round o to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039388 to four dps.\nAnswer: -0.0394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpbbbpbbbpbpbpb. Give prob of picking 2 b.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 + 16)*(-3*m + m + 4*m) as u + v*m and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (7933 + 7677 + 4800 + 8201 - 5063)*(2*l**2 + 0 + 0) as v + i*l + q*l**2 and give q.\nAnswer: 47096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let q be k(-2). Suppose 5*d = q*d + 960. Is d\/4 - (-1 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150218 is divided by 50069?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2308 and 283 + -236 + (21 - 0).\nAnswer: 39236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-2\nAnswer: 0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.039987 times 24\nAnswer: -0.959688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2\/67, -1\/8, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3838 + 33*g - 3836 - 83*g - 75*g as q + z*g and give z.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(7\/2)\/s*s*(s*s**(-2)*s)\/s)\/(s*s**(-3\/10)\/s*s**(-2\/17)))**(-4\/17) assuming s is positive.\nAnswer: s**(-992\/1445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*r**6*y**2 - 2*r**4*y + 21*r**2*y**2 + 14*r*y**2 wrt r?\nAnswer: 3000*r**3*y**2 - 48*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12418?\nAnswer: 2, 7, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -21*f - 2*f + 30*f + 118. What is the remainder when 53 is divided by n(-13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 6 - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j + 3*j**3 - 11*j - 2*j**2 + 7*j to s*j**3 + n*j**2 + b + p*j and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*k**2 + 1002*k**3 + 550*k**3 + 94*k**3 + 61*k**2.\nAnswer: 1646*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -24*u + 3. Let o be h(-3). Let w = 45 - o. Calculate the least common multiple of w\/(-9) + 2\/3 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 13 + 36. Let g = m + 53. Solve -4*l - g + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66 - -69?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 15 = 0. Let h be 4 - 8*(-1)\/(-2). Solve d*x - 7*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -54, -225, -510, -909?\n\"Answer: -57*u**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968402, -1936802, -2905202, -3873602, -4842002, -5810402?\nAnswer: -6778802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 24 = 0, -5*t - 20 = -3*j + 52. Solve -5 + 175 = -j*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98141, -98136, -98131, -98126, -98121?\n\"Answer: 5*b - 98146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56127920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 4*h - 7. Let x be 1\/((-7)\/2 - (-1 - 2)). Let q be (-4 - 1) + x + 2. Give t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8052 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + i = -40, 52 - 260 = -5*z + i. Suppose -g + 4*g = z. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -31. Put t, 5, 4 in increasing order.\nAnswer: t, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283 is divided by 346\/12 - (3965\/78)\/61.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338569 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.545 to one decimal place.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -9. What is the third derivative of -4*l**3 - g*l**3 + 3*l**2 - l**3 + l**3 wrt l?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132ab9 (base 12) in base 6?\nAnswer: 10435153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from pwwvwiviwipvivpvvv?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-178)\/(-2403))\/(-2*(-1)\/(-12))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**3 + 18*o**3 - 7*o**3 + 3. Let t(p) = -4*p**3 + 11. Determine -22*k(l) + 6*t(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*c + 5*f + 12, -4*f + 6 = 2*c. Suppose 3 = 2*d - 3*x, -2*d + x - 4*x = -33. What is the greatest common divisor of d and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*o - 5. Let a be (2 + o)\/(-1 + -1). Solve a = -t - t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 24. Let l be b(7). What is the smallest common multiple of (-11)\/55 - (-182)\/l and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3485 - -7638. Calculate the lowest common multiple of 4 and b.\nAnswer: 16612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4113643?\nAnswer: 17, 241979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 22 = -6*t + 3*t, -4*b = -2*t. Solve 4 = b*g, -2*g + 2 = -2*r + 12 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 = -1656*v - 1542*v + 3123*v - 662 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/20 - 3*j**4\/4 - 4*j**3\/3 - 13*j**2\/2 + 11*j. Give c(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*u = 109*u - 858 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + (1095\/75 - (-4 - (-36)\/3)). Which is greater: -43.83 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -44. Suppose b = -2*n - 2, 0 = -5*b - n + g + 6. Solve 5*u = i + b - 19, -u - i - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 12. Let d = 15 - n. Calculate the remainder when 19 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*12\/(-224)*2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63740 divided by 15935.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5503110 = -13*j - 13*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:37 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -111 - -750?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1869)\/3115*(-20)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))**(-5))**(6\/19)*(((f*f**(3\/7))\/f)\/(f\/f**6))\/((f*f\/((f\/(f*f\/(f\/f**5)))\/f))\/f**(2\/13)) assuming f is positive.\nAnswer: f**(-6130\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17045 - -17202. What is the closest to 1 in j, 4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1461, -1702, -1945, -2190, -2437?\n\"Answer: -u**2 - 238*u - 1222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36579658 to the power of 1\/2, to the nearest integer?\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 18. Let q(u) = -15*u + 38. Let c(f) = 5*d(f) + 2*q(f). Let l be c(3). Sort -2\/15, l, -1\/2, 0.4 in descending order.\nAnswer: l, 0.4, -2\/15, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 9*l - 7. Determine f(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 + 5*j**2 + 112. Let i(m) = -4*m**3 - 6*m**2 - 111. What is 5*i(f) + 6*v(f)?\nAnswer: -2*f**3 + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3850 * -3.\nAnswer: 11550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40604.38 times -0.029?\nAnswer: -1177.52702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/55)\/((-1)\/25). Let b = s - -10. Let u be (222\/3)\/(-1 + b). What is u rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(2) + (sqrt(5) - (sqrt(5) + -3)*-2) + 0 + sqrt(80) + 0 + sqrt(80))**2.\nAnswer: -168*sqrt(5) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 4:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1 + (-1 + 2 + 0)*(0 - 4 + 5) - 2 + 0 + 4)*(-116980 + 116980 + 8446*m) to the form a*m + b and give a.\nAnswer: 16892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -48253 + 48265. What is the second biggest value in a, 1\/4, -5, -7\/3, -1\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*x = 1, 3*x + 1 = -3*n - 2. Let d be (2 + n)*(2 - 2). Let a(b) = b**2 + b + 5. What is a(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1161 - 1157)\/(8\/(-3))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72166248 a multiple of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let t(o) = 4*o**2 + 6*o + 5. Let h(l) = 2*j(l) + t(l). Suppose -59 - 37 = 24*r. Give h(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*x - 153. What is the lowest common multiple of x and 85?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 v when two letters picked without replacement from qbmqbqmvmqmvmmvmbqqq?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3437?\nAnswer: 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4484458 - -4484458.5259693. Let v = c - 0.29596902. Let q = v + -0.23. Round q to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*t - 27 = 44*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 946411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(66) + sqrt(66) + (-1*sqrt(66) - sqrt(66))) + -1*sqrt(66)*3)\/(4*(-1*sqrt(12))\/sqrt(2)))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*3 - (-197 + -3733). Calculate the highest common divisor of m and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/5)\/((-3)\/(-15)). Let n = 12 - x. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f6 - -3edd?\nAnswer: 41d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.037\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 14*k - 118. Calculate u(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2525662018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 5664 - 4*v**2 - 2*v + 5633 + 5*v**2 - 4*v**2 as w*v**2 + d + a*v and give d.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3674580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z - 2*z**2 + 3*z**4 + 12 - 11*z - 3*z - 10 to the form t + h*z**2 + a*z**4 + x*z**3 + w*z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104525 (base 7) in base 4?\nAnswer: 10200023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*o + 74*o - 34*o - 149*o + 26*o.\nAnswer: -232*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -75. Suppose -5*t + 3*i - f = 0, -3*t + 0*t - 2*i - 7 = 0. Put t, 1, -7 in descending order.\nAnswer: 1, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2448161899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 37. Suppose -4*i = q - 125, -5*i + s*q = q - 163. Let j be i*2 - (-8 - -4). Calculate the greatest common divisor of j and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 14*x**3\/3 + x**2 - x - 1. Let j = 352 + -57. Let q = -294 + j. What is i(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 27. Suppose 31 + r = 20*g. Calculate the smallest common multiple of g and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/37)\/(s\/(s*s*s**(-8)))*((s\/(s\/((s\/s**(-2\/9))\/s)))\/s)**(-49))**(-2\/55) assuming s is positive.\nAnswer: s**(-20684\/18315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 79\/299025?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 1253 - 10443. Suppose 14785 = 2*t + y. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 - 10.8. Let p = -2 + g. Let r = p + 11.965. What is r rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5675*l**2 - 3*l + 8. Let v = 39 + -31. Let z be y(v). Suppose -9*j = -1256816 - z. Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74104650 to the power of 1\/2, to the nearest integer?\nAnswer: 8608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 70\/3 = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4 - 170*y**3 - 625*y**2 - 760*y - 300 = 0?\nAnswer: -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010 + -1010111101010111001?\nAnswer: -1010111101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 0.59\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 73*p - 7. Calculate m(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3217 - 1721. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8448 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114032 is divided by 38010.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + (-5*(((sqrt(242)*-2 - sqrt(242)) + -2)*-2 - (2*1*sqrt(242) + sqrt(242) + -3*(sqrt(242) + 1))))**2).\nAnswer: 23100*sqrt(2) + 219027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 8*c - 22977*c**2 + 22830*c**2.\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2 - 52*i - 618823 + 618823 = 0.\nAnswer: -26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 20*m - 31. Let z be r(18). Suppose -2*d + 3 + z = 0. Suppose 9*s + 15 = 4*s, -28 = -4*l + d*s. Solve t + l*t - 10 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 2*t**3 - 3*t + (-4*t - 4 + 4)*(t**2 - 3*t + 3*t) - 3*t**3 + 0*t**3 + 2*t**3 + 4 + t**3 - 4.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4580510 and 88695330?\nAnswer: 975648630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of 9*p**7\/35 - p**6\/120 + 17*p**3\/3 + 4*p**2 + 6. Differentiate v(j) with respect to j.\nAnswer: 216*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, 6, 69, 198, 417, 750, 1221, 1854?\n\"Answer: 4*y**3 - 3*y**2 + 2*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 12200011111112?\nAnswer: -12200011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -97. Suppose -s*n + 27*n - 72 = 0. What is the greatest common divisor of 296 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9982909\/4 smaller than -2495727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*y + 1225*y + 14410 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/26)*c**(-1\/6)\/c)**(-2\/109) assuming c is positive.\nAnswer: c**(88\/4251)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - -445)\/2*-2500. Round d to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**3 - 5*k**2 - 16*k - 21. Let n(v) = -32*v**3 + 19*v**2 + 65*v + 86. Let t(u) = 2*n(u) + 9*s(u). Calculate t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36? (a) 41.7 (b) 2.7 (c) 0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152775240 divided by 15?\nAnswer: 10185016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 2526*t**3 + 3*t**2 - 2526*t.\nAnswer: -3*t*(t - 842)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**8\/1680 + v**7\/420 - v**6\/360 - v**3 - v**2. Let r(f) be the first derivative of d(f). Let r(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06733 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 2*x - 2. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -247, 5, -7, 1.\nAnswer: -247, -7, 1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*92\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13041 - 0.5.\nAnswer: 13040.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -40. Let l = n + -21. Let f = -0.07 - -3.07. What is the closest to l in f, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*u + 25 + 77 - 452 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 649 - -2?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 158191 = 158331 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5185.874 to zero dps.\nAnswer: -5186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147646\/21 - 7030. Let a(j) be the second derivative of 1\/210*j**5 + 6*j + 1\/18*j**4 - y*j**2 + 8\/63*j**3 + 0. Factor a(i).\nAnswer: 2*(i - 1)*(i + 4)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t\/(t**9*t))*t)\/t**(1\/2))\/(t*t**(1\/14)\/t*t**(-3\/5)*t))\/(((t*t**(1\/3)\/t)\/t)**(-1\/15)\/(t**(1\/5))**37) assuming t is positive.\nAnswer: t**(5791\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - d. Let j = -11 - -15. Solve -j*y - 16 + 0 = d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.9 - -13. Which is greater: -12 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17222.\nAnswer: 2, 79, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 10:01 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/q**(-1\/2))\/q)*q\/(q*q\/q**(-2\/13)))\/((q\/q**2)\/q**(-6\/7)))**6 assuming q is positive.\nAnswer: q**(-279\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -444, -0.3 in ascending order.\nAnswer: -444, -1, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x + 1. Let v(i) = 126583*i. Determine n(v(j)).\nAnswer: 506332*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l + 49. Let a be s(-3). Suppose f - 2*y - 14 = 0, -a*f - f + 106 = -y. Calculate the remainder when 78 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-558)\/31)\/(-126))\/(1\/(-13)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + d)*(-1 + 1 + 2*d**4) + 19*d - 19*d - 31*d**5.\nAnswer: -29*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, j: 2}. What is prob of picking 2 t?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/2 + g**2\/2 - 88*g. Let r = -2 + 4. Give b(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 14 - 3*d**2 + 0*d**2 - 16*d + d**3 - 3*d**2. Let a be y(9). Solve -a*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2 - 79*b + 80 = 0. Calculate b.\nAnswer: -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020990283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -50\/3*u + 8\/9*u**3 + 71 + 1\/12*u**4 + 5\/6*u**2. Determine v so that y(v) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 203 + -203. Suppose 77*w - 86*w + 3024 = d. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = -d + 48, 0 = -5*d - 4*f + 176. Factor 16\/7*z**2 + d + 2\/7*z**3 - 150\/7*z.\nAnswer: 2*(z - 3)**2*(z + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 - 3155*q**3 + 3145*q**2 + 3155*q - 3150 = 0.\nAnswer: -1, 1, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34030 divided by 6806?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157786 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19487*r**3 - 39927*r**3 + 20429*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*c - 26 + 46, -c = 3*m + 2. What is the fourth biggest value in c, -1\/2, 1, 4, -9\/10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(-8)\/(-6). Suppose 4*x = 5 + 15. Factor 2 + 2*y**3 - 14*y**z + x*y**3 + y**3 + 4*y.\nAnswer: 2*(y - 1)**2*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32751096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2 - 2)*(5 - 6 + 3) + 1139 + 0*d + 5*d - 3*d + 0*d + 807.\nAnswer: 4*d + 1946","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 1, b: 6, c: 3}. Give prob of sequence mb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*f - h - 7 = 0, -4*f + 2*h + 2 = 0. Suppose -j = -f*j. Sort -2, -5, j.\nAnswer: -5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = 32. Let r be (18\/(-15))\/(p\/(-20)). Suppose 0 = -d - r*d. Is d smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - b = 5, 5*s = 3*b + b + 20. Let g = 380\/11 - 35. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -65 (b) -2\/21 (c) 2\/25 (d) -0.06531 (e) -6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - h = -101, -74 = -31*l + 27*l - 2*h for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 0*c**3 + c**3 + (-4*c**2 + c**2 - c**2)*(c + 0*c + 0*c) to the form n*c**3 + w*c**2 + t*c + m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113364471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m**5 + 106368*m**4 - 105916*m**3 - 644472*m**2 + 6620*m + 39864 = 0 for m.\nAnswer: -2, -1\/4, 1\/4, 3, 1661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-5))\/(((-246)\/(-41))\/((-110)\/(-33)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 972 + -1585. Let l = 616 + v. Solve 4*m - 13 = y, 2*y + 2*y = -l*m - 14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 a factor of 19236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**3\/3 + 6*x. Let p = -4 - -6. Let h(j) = -p*j**2 - j**2 + 3*j**2 - 2*j**2. Calculate c(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -8 + (0 - (14 + 6 + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + c. Let s(i) = 4*i**2 + 3*i. Let j(b) = -3*f(b) + s(b). Let q(t) = 40*t**2. Give q(j(r)).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/1386 and 53\/45738.\nAnswer: 45738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voxo when four letters picked without replacement from orxkjvox?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -51661, -103132, -154587, -206020, -257425, -308796?\n\"Answer: p**3 + 2*p**2 - 51484*p - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*u - 107, 2*u - r = -3*u + 174. What is the remainder when u is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4174250 is divided by 3292.\nAnswer: 3286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*r + 2*r + 4*r)*(-1 + 4 - 4) + (0 + 2 + 0)*(r - 2*r - r) + r + r - 3*r as k + g*r and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.84439 + 0.15561. Put a, 0.01, -0.056 in increasing order.\nAnswer: -0.056, 0.01, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -8 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -5, 4\/7, -147965\/146?\nAnswer: -147965\/146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 13. Let t be (-7)\/(21\/(-6)) - f. Find the common denominator of -79\/4 and (-18)\/(2\/22*t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 2*c + 3. Let l(r) = r + 8. Let p be l(-7). Suppose 3 = -o + p. Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41754674149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/32 + (-248)\/(-192).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -663*g - 15. Let k(w) = -141*w + 1. Determine -20*k(z) + 4*u(z).\nAnswer: 168*z - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**4\/96 - 7*u**3\/48 + u**2\/2 + 764*u. Factor g(o).\nAnswer: -(o - 1)*(o + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 14 + 1, 3*c - 17 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3289580 to the nearest ten thousand.\nAnswer: -3290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.50633 times -5\nAnswer: 2.53165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.6684 + 0.0316. Let l = -23.7 + m. Let v = 5 + 0. Sort 1\/2, v, l in ascending order.\nAnswer: l, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 693?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*a*l**3*p + a*l**2*p - a*l**2 - a - 4*l**3*p - 40*l**3 + l**2 wrt p.\nAnswer: 50*a*l**3 + a*l**2 - 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 15, 41, 85, 153?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 14*u + 380. Let p(d) = -5*d - 127. What is 6*h(v) + 17*p(v)?\nAnswer: -v + 121","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**5 - 144*o**4 + 10065*o**3 + 317682*o**2 = 0.\nAnswer: -74, -27, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1413*t*z**3 - 6*t*z**2 + 117645*t - 2*z**2 with respect to z.\nAnswer: -4239*t*z**2 - 12*t*z - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - q + q)*(-4*q**3 - 5*q + 6*q**3 + 16*q) in the form k*q**4 + z*q + v*q**3 + u + o*q**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10377 - -10391. Let i be -4*(-1)\/4*5. Solve -5*u = -i*a, -m - 2 = -5*a + u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*sqrt(42)*5*5)\/((sqrt(210)\/(sqrt(7) + sqrt(28)\/sqrt(4)))\/(sqrt(125)*6)))**2.\nAnswer: 1008000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 + 1 - (-5 + 21 - 19) is divided by 68.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -354*u - 40. Let r be p(-3). Let v = r - -754. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-396)\/(-176)*(176\/(-24))\/11)\/((-3)\/(-138))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*g + 62, 6 = -2*x - g + 93. Let z(i) = -x + 41 + 12*i. Let m(t) = 11*t. Give 5*m(a) - 4*z(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -13*k**2 + 0*k**3 + 0*k**4 + 0*k + 0 - 2\/15*k**5. Let n(a) = a**2 - 3*a**2 + a**2. Give n(x(c)).\nAnswer: -64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2760, -2761, -2762?\nAnswer: -2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 5 + (1 + 0 + 0)*(-5 + 2 + 2))*(t - 4*t - 12*t + 4*t - 15*t + 10*t + (-4 - 3 + 4)*(2*t - 3*t + 0*t)) in the form z + j*t and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*i**3*o**3 + 73*i**3*p - 356*i**3 - 3*i**2*o**2*p + 16*i**2*o*p + 19*i**2*p + 9*i*o**3*p - 2*i*p - 13*o**3*p wrt i?\nAnswer: -552*o**3 + 438*p - 2136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 1338, 2000, 2658, 3312, 3962, 4608?\nAnswer: 5250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*l**3 + 4844*l**3 - 1065*l**3 + 2*l**2 + 6689*l**3 - 455*l**3 as j*l**3 + d + s*l + q*l**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 7:57 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 192 + 112. Let h be 4\/3*(b + 14). Calculate the remainder when ((-30)\/(-12))\/((-238)\/h - -2) is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + -2 + 3\/(-3). Suppose -3*t + 15 = -5*u - 0*t, v*u = -4*t + 20. Let i = 1 + u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i - 49*i + 13*i + 8*i + 14*i in the form x + f*i and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*r - 2 - 5, 0 = j + 3*r - 4. Suppose 0*z + 3*z + 51 = 0. Let x = 25 + z. What is the remainder when j is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 + -3.7. Suppose 0 = -4*r - 4, u - 2 = -2*r. What is the third smallest value in u, c, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -1)\/2 + -1. Let c(u) = -4*u. Let a be c(s). Suppose a*d + 4*d**3 - 7*d - 5*d**3 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/35 and 23\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3, o + j - 1 - 3 = 0. Which is the nearest to 0.08? (a) -0.1 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 61 = -5*q, 57*q = j + 55*q - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + 44 - (-17 + 1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 200.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 16 - (-1 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -1 - (2 + (2 - 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47504?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*b - 6 + 6 - b**3 - 258*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 1, n: 1, o: 1}. What is prob of picking 1 o, 1 n, and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246717341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.28568 to 1 decimal place.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, r: 9, s: 1}. Give prob of picking 4 m.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2)\/z))\/z*z**(-3\/4)*z**(-5)*z\/(z\/(z\/z**(-1)*z)) assuming z is positive.\nAnswer: z**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 206*i**2 - 28*i + 1461. What are the prime factors of u(-19)?\nAnswer: 3, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 10030.\nAnswer: 20060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -427. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.340582 to two decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2362, -5085, -7852, -10663?\nAnswer: -13518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 378*j + 39*j**2 - 5*j**3 + 31*j**2 + 86*j + 311*j - 840.\nAnswer: -5*(j - 21)*(j - 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 4*p + 3. Suppose -v + 4*y = -8, v - 3*y - 2 = -y. Let a be r(v). Solve a*x + 16 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 1*-4 + (-42)\/(-378) and (-368)\/(-132)*(-3)\/(-4)*2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1\/649 (c) -1175 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/7, -6, -0.4, 37, 1\/3, -29?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 5*v + 3. Calculate the remainder when m(-4) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*y. Suppose -4*f + 12 = -3*k + 35, y = -3*k - f + 13. What is the first derivative of 4 - i**3 + 2*i**4 + k*i**3 - 4*i**3 wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -67?\nAnswer: 56\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 times 2352?\nAnswer: -729.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06070485 + 0.0601. Round u to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 31830 = 3*s, 2*s - 3*i - 53090 = -3*s. Let a = s + -6798. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43471813*z**3 - 34056999*z wrt z?\nAnswer: -260830878*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*y**4 + 886*y**2 - 886*y**2 + (-3*y**2 - 2*y + 2*y)*(0*y + 3*y**2 + 0*y) as j*y**3 + d*y**4 + b*y**2 + q + c*y and give d.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pidppinipdnfid. What is prob of sequence nnii?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pspp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 1:51 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11085, 25223, 42409, 62643, 85925, 112255, 141633?\nAnswer: 174059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4485738 and 86\/5817?\nAnswer: 31400166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(21\/15) - (-4 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o - 2 - 2 - 4.\nAnswer: -24*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 28*l + 32 = 24*l, 3*l = 3*v + 6. Let h(p) = 12*p + 53. What is h(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-6)*11\/(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 4*d - 8. Suppose -49 = -2*t + 41. Let s be 9\/t + (-46)\/5. List the prime factors of l(s).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59852 is divided by 39.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 188367 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 3 = -9*z. Suppose 548 = -5*k + 2*b + 2153, z*k + 3*b - 1580 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28169067\/22 - 1280725. Let v = -313 - d. Let o = -1235\/14 + 89. What is the common denominator of v and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -210021012?\nAnswer: 210020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244 - 216. Calculate the highest common divisor of o and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12481\/19 + 657. Suppose 0 = -2*s + 32 - 24. Put m, s, -18\/7 in descending order.\nAnswer: s, m, -18\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3983, 21221, 49955, 90185?\n\"Answer: 5748*u**2 - 6*u - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 9, a: 1}. Give prob of picking 3 m.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 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: Let o(r) = r**3 - r - 2. Let h(a) = 7*a + 5*a**3 + 15 - 19 - 13*a**3. Let j(c) = 7*c**3 - 6*c + 3. Let z(v) = -5*h(v) - 6*j(v). Determine 4*o(l) + 3*z(l).\nAnswer: -2*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2\/3 + 232452*v - 40525449228 = 0. What is v?\nAnswer: 348678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6954836 and 12?\nAnswer: 20864508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-3)*(-6)\/(-4). Suppose -2*h - f - 28 = -5*v, 5*v - 5*h = 35. What is the lowest common multiple of v and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 569 - 565. Factor -r*q**5 - 10*q - 25*q**2 + 0*q**5 + 2*q**5 + 5*q**4 - 15*q**3 + 7*q**5.\nAnswer: 5*q*(q - 2)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1\/4, -2, 2\/17, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**2*k**3*x - 21*i**2*k**3 - 12*i**2 - 2*i*k**2 - k**3*x - 4*k*x wrt k?\nAnswer: 12*i**2*x - 126*i**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfyhzfs. What is prob of sequence zs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*t**2 + 30*t**2 - 30*t**2 - 3*t + (-2*t + 4 - 4)*(-3*t + 1 - 1) + t**2 + 0*t**2 + t**2 to the form p + l*t**2 + z*t and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22816942.\nAnswer: 2, 199, 57329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -200?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7)\/j)**(4\/27)*(j*j\/(j*j**(-1)))**(-49) assuming j is positive.\nAnswer: j**(-18514\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -36. Let x = a + 23. Let m = x - -11. Sort -2, m, -1\/4.\nAnswer: -2, -1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*q - 2298, -1555 = -5*q + 2*z + 1322. What are the prime factors of q?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785?\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/48 and -151\/7298010.\nAnswer: 58384080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -340706 (base 8) to base 14\nAnswer: -2dd66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/3)\/(j\/((j*j*j\/(j*j**(-23)*j))\/j*j)))**(-4\/13) assuming j is positive.\nAnswer: j**(-308\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 309858 (base 12) to base 7\nAnswer: 6326162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 166 + 130 = 0. Suppose t = -7*r + 9*r + 866, -4*t + 5*r = -3449. Let d = t + -840. What is the remainder when u is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4 = 1. Is 23 a factor of ((-42)\/w)\/((-48)\/64)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-30)*(-1)\/(114\/9)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 12030 = k + s, 0 = -4*k + 2*s + 48190. Suppose 717 + k = 9*z. Let j = z - 723. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (-12 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36 + 75?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.93 - -5.93. What is the nearest to 3 in -0.2, b, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -134, -146, -206, -338, -566, -914, -1406?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 594 - 1778\/3. Calculate the common denominator of m and -79\/58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-4)\/3 - 2\/3). Let p(l) be the third derivative of 0 - 1\/3*l**3 - 1\/12*l**4 + 0*l - l**2 - 1\/60*l**5. Determine p(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 16*n**2 - 36*n + 109. Determine i(12).\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1, 187 = -2*x - 6*b + 3*b. Is 38 a factor of (9\/12)\/((-1)\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5963 divided by 11340.\nAnswer: 5963\/11340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.652094 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from eeeqqeeqeqeeee?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217454.\nAnswer: 2, 108727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1, -3\/22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((-1*sqrt(72) + -3 - (-2 + -2*sqrt(72))) + -1)*-3)**2.\nAnswer: -144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3202033032203?\nAnswer: -3202033032200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6)**(1\/17))**(16\/5) assuming r is positive.\nAnswer: r**(112\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 6:51 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(0 + 0 + 1)*(-2 - 4 + 3)*(11*y + 3*y + 13*y)*(2 - 4 + 3)*(-3*y + 3*y + y).\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*f = 246 - 270 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9455 + 11056. What is x rounded to the nearest ten?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**5\/6 + 36*t**2. Let v(k) = -2 - k + 2. Calculate f(v(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11686 (base 10) to base 15\nAnswer: 36e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnz when three letters picked without replacement from {a: 4, g: 6, n: 1, b: 6, z: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 61281.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 38396.19 meters?\nAnswer: 3839619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105390691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -c + 1 - 185*c**2 - 256*c**2 + 3*c - 3*c**2 - 292*c**2 in the form k + m*c**2 + f*c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19983361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 114 = -22*b. Suppose -p - 3*h = 3*p - 525, -530 = -4*p + 2*h. Suppose -b*u = -5*u - p. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 19*w - 20146. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-6885)*220 - (-118)\/(-1593). Let s be (-1)\/(-1) - (-66)\/34. Factor -16\/17*k**4 + 56\/17*k + s*k**3 - 76\/17*k**2 - 16\/17 + w*k**5.\nAnswer: 2*(k - 2)**3*(k - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528 + 797. Suppose 5*k - o = 846. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92597.5 * -5\nAnswer: -462987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 21*k - 4*k + 2 - 1.\nAnswer: 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f + 40*f + 62412 = 0. What are the prime factors of f?\nAnswer: 2, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79401 or -79398?\nAnswer: -79398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 125730 divided by 62865?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, 2, -14, -32 in decreasing order.\nAnswer: 4, 2, -1\/6, -14, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (-12 + 25 + -16 + -4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/15)\/(2\/(1\/(-1)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(p**4 + 0*p**4 + p**4) + p**4 + 0*p**4 - 2*p**4 + (-223*p - 25 - p**2 + 223*p)*(1 + 2*p**2 - 1).\nAnswer: -7*p**4 - 50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5202)\/1080)\/289)\/(2\/(-16)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000352658009 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**3 + 44*a**3 - 120*a**3.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1723 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14518, -1356, 4 in decreasing order.\nAnswer: 4, -5, -1356, -14518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004994 rounded to seven dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {p: 6, r: 3, s: 4, z: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341*d + d**2 + 676*d - 77*d**6 - 760*d**6 wrt d.\nAnswer: -100440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(1\/4))**(2\/9)*(f**(-1\/4)*f)\/f*f\/(f*f\/(f\/(f\/((f\/f**(-2))\/f)))))**47 assuming f is positive.\nAnswer: f**(517\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s**3 - 14*s**3)*(-6 + 3 + 1)*(-3 + 3 + 1)*(-2*s + 3 - 3).\nAnswer: -68*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 4. Let l(p) be the second derivative of -p**5\/40 - 5*p**3\/6 + 5*p**2\/2 - 2*p + 91. Let w(d) be the second derivative of l(d). Give o(w(h)).\nAnswer: -9*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.4754 and -0.5425224.\nAnswer: 11.9328776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*28\/835590*69.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}