diff --git "a/data/dm_maths/full_data/4785_11255.jsonl" "b/data/dm_maths/full_data/4785_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4785_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 2 less than 11.033495?\nAnswer: 9.033495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + j. Let t(h) be the third derivative of h**5\/15 + h**4\/12 - 6*h**2. Determine 9*d(o) - 4*t(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79618634 to the nearest integer?\nAnswer: 8923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.29\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5391, 10783, 16177, 21573, 26971?\nAnswer: 32371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -672, -674, -678, -684, -692, -702, -714?\n\"Answer: -n**2 + n - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v + 4770 = 35*v. Let p = 322 - v. Solve 3*s + s + 8 = -2*r, -5*r - p = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744188 is divided by 642.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131011 - -2?\nAnswer: 1131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 161818201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 1007 = -c, 8*f - 3*f = -c + 2510. Let y = 0 + f. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 549\/54 + (-10)\/1. Is r greater than 178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 110728087 and 110728088 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a kilogram in grams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of a**6\/90 + a**5\/12 - 51*a**4\/8 + a**2 + 30. Let p(v) be the second derivative of w(v). Let g(l) = 2*l. Determine p(g(n)).\nAnswer: 16*n + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 9048*r - 99044.\nAnswer: -4*(r + 11)*(r + 2251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 - 202. Let z = p + 88.035. Round z to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/12)\/(2\/(-492)). Suppose x = 3*w + 5*m, 5*m - 2*m = 0. What are the prime factors of w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*g, 3*r - 3*g - 15 = -r. Let l(y) be the first derivative of -y**3\/3 + y**2\/2 - y - 4. Give l(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 4*w + 1. Calculate the remainder when 19 is divided by d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-4 + 3*sqrt(448)*3)*-3)**2 + -4).\nAnswer: -1633660 + 25920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 11*q**2 - 2*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*l + 5*l + l)*((2 + 3 - 3)*(2*l**2 + 0*l**2 - 4*l**2) - 5*l**2 + 3*l**2 + 0*l**2).\nAnswer: -126*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29c0 - -97?\nAnswer: 2a87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 158\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1549 - 2036. Let t = x - -6238. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trmm when four letters picked without replacement from {f: 1, r: 1, q: 5, m: 5, t: 1, j: 2}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158538620?\nAnswer: 2, 5, 433, 18307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*t**2 + 9*t**2 + 5*t**2 to y + d*t**2 + n*t and give d.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5228 = -19*i + 5760 + 13. Calculate the remainder when i is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/(2\/(-12))*(-5216)\/(-25428).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -69379, -68488, -67583, -66658, -65707, -64724, -63703?\n\"Answer: u**3 + u**2 + 881*u - 70262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 57*q + 29. Let v be o(-35). Let i = v + 1096. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4*i**2 + 7*i + 5. Let v(u) = 5*u**2 - 6*u - 4. Let g(z) = 6*p(z) + 5*v(z). Determine g(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6\/227 + -705\/908. What is the smallest value in 2\/5, j, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**2 - 19\/20*j**5 + 1\/2*j**4 + 46*j + 0*j**3 + 0. What is the second derivative of k(q) wrt q?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 1. Let h be x(1). Is 9 a factor of ((-9)\/18)\/(h\/38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30277*0.2.\nAnswer: 6055.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -11*m + 14. Let b(u) = 35*u + 62. Let i be b(-2). Let z be v(i). What is the highest common factor of z and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95.35 + 1.65. Let b = -746 - -648.8. Let s = z + b. What is the nearest to 2\/5 in s, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-26))\/7*-14\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4530.93255 minus 14920?\nAnswer: -19450.93255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010110111011001001 + 100?\nAnswer: 10100010110111011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*2 + 5.\nAnswer: 5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12*h - 375. Calculate the remainder when h is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -33871\nAnswer: -23709.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8916\/8*(-40)\/(-15). Let a = c + 171. Suppose -a = -6*h - h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. Let p be l(3). Put -0.2, p, 0.3 in decreasing order.\nAnswer: p, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5289246 micrometers?\nAnswer: 0.0005289246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12624516 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*38990.566.\nAnswer: -3119.24528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {t: 1, k: 2, h: 2, x: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 2*f)*(4 - 5 - 5) + (16*f + 19 - 19)*((1 + 1 - 4)*(-1 - 3 + 5) - 4 - 4 + 5).\nAnswer: -86*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2627775 or 2627736?\nAnswer: 2627775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 339726*h**3*y**3 - 30*h**2*y**3 + h*y**3 + 10*h*y**2 wrt h.\nAnswer: 2038356*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 3*d - 3. Determine j(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/8*(-36)\/135.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7601, -17037, -26473, -35909, -45345, -54781?\nAnswer: -64217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 31536?\nAnswer: 31536.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16*y + 8. Let u(o) = 64*o + 35. Let t(x) = -18*r(x) + 4*u(x). Let q(z) = -3*z. What is q(t(h))?\nAnswer: 96*h + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/5, -22, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 5, e: 1, b: 2, r: 1, i: 5}. What is prob of picking 1 z and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxsr when four letters picked without replacement from {r: 3, s: 3, c: 3, x: 6}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 14. Let y(h) = -h**3 + 8*h**2 + 8*h + 9. Let q be y(d). What is the remainder when 20 is divided by 7 - q*2\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -561 - -545. Let a be (-86)\/110 - (-9)\/15. Sort l, a, 5 in ascending order.\nAnswer: l, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*p + 100*p + 750 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 5*v**2 - 8*v + 8. Let k be n(6). Let t(y) = y + 2. Let q be t(k). Let w(h) = -2*h**2 + h + 1. Calculate w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z - 8. Calculate b(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 7*c - 6*c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 1. Let u(j) = -3*j**2 + 3*j - 3. What is 2*o(r) + u(r)?\nAnswer: -3*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + j + 1. Calculate c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {s: 3, y: 2, q: 3, n: 3, j: 1, i: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*q = 2589 - 13095 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*f + 52 - 24 - 28 + 823*f + 1 - 1 - f + 0*f - 2*f + 4*f + (-4 + 2*f + 4)*(1 - 1 + 2).\nAnswer: 853*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89 - c7?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/6*6*-1*1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/144165 and -1\/55.\nAnswer: 1585815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**4 + 137*s**3\/2 - 48*s**2.\nAnswer: -s**2*(3*s - 32)*(4*s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22232915.\nAnswer: 5, 4446583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 872 - -a?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c = -62*c + 2397. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 312142, 307117, 302090, 297061, 292030, 286997, 281962?\nAnswer: 276925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 724, 2613, 5668, 9889, 15276?\n\"Answer: 583*h**2 + 140*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3586 and 5542?\nAnswer: 60962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.36, 3, -0.1, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10\/7))**(2\/23) assuming z is positive.\nAnswer: z**(-20\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3032)\/(-2653)*154\/(-8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 819.38 + 316?\nAnswer: 1135.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {c: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*f - 228 = 133, 0 = 2*k - 4*f - 208. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/120)\/((-71)\/2556) + 4\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**3\/6 + 7*g**2\/2 + 2*g. Let d be f(-7). Let 2\/3*r**2 + 2\/9*r**3 + 4\/9*r + d = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2 + 0) - (-7 - 0). Solve -10 = -0*w + n*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**2 - 3*k**2 + 10*k**2)*(-11 + 11 + 3*k**2) - k**3 - 2*k**4 + k**3.\nAnswer: 34*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, c: 3, m: 7}. What is prob of sequence wc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/3 - -1 - 404\/74437. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 6 = 4*s. Suppose -5*i = s*w - 105, 5*w + 0*w - 5*i = 135. What is the remainder when w is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001101 - 11?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -t, -6*k = -2*k - 8. Suppose -13*a - 20 = -23*a. What is the remainder when 15 is divided by t\/a - (-9)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, o: 2, c: 3}. What is prob of picking 2 o and 2 l?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*p - 3*g, 36 - 1 = 5*p + 5*g. Let j be ((-231)\/(-14))\/p + (-11)\/(-2). Let n(o) = 40 - 81 + 40 - j*o. Let r(q) = 13*q + 2. Give 11*n(l) + 6*r(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/216 and -89\/486.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.154 + -11.404. Let u = p + 10.5. Round u to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-25 + 3 - -4)*5\/15. Let v be (-1)\/(5 - (-28)\/o)*-1. Sort -5, 5, v in ascending order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7.1 (b) 4030 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10449763 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 269*h**4\/10 - 3609*h**3\/10 - 8173*h**2\/10 - 683*h\/2 + 711\/5 = 0. What is h?\nAnswer: -9, -2, -1, 1\/4, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(175))*2*-1)**2 + -2.\nAnswer: 1000*sqrt(7) + 17598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1430\/195*600\/(-440)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - (-43 - 57) - (10 + -3) - 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*m - 4999, -4*k = -2*m + 4*m - 4008. Let i = 227 + k. Suppose 0*g - i = -4*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a56 (base 11) in base 2?\nAnswer: 101000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/2739 and 53\/12?\nAnswer: 10956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(612)\/(sqrt(24)\/sqrt(2)))\/((sqrt(18)\/sqrt(2))\/sqrt(3)).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -8*p + 3*p + y, -3490*p - 2*y + 22 = -3486*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (49 + -48 + -8 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 782, -1, -5, 2, -3 in ascending order.\nAnswer: -5, -3, -1, 2, 3, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665784.\nAnswer: 2, 3, 19, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25279*c - 22461*c = -39452 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from {u: 7, q: 1, o: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -265*r - 1047. Calculate the remainder when 297\/6 + 1\/(-2) is divided by i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*m = 109*m - 185*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606604461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -73004954 - 52073.4?\nAnswer: -73057027.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (5 + -11 - -6) + 0 + 12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*o = 7*g - 392, -3*g + 4*o + 294 = 0. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*u = 1, -3*s + 0*u - 2*u = -3. Put -3, 10, s in decreasing order.\nAnswer: 10, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35.99 - -35. Let k = -0.19 - w. Let m = 0.2 + k. Which is the nearest to m? (a) -3 (b) -1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*12*(-18)\/(-864).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = p, l - 2020*p + 2022*p + 1 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-170)*(-16 - -16 - 118\/(-4)) and 37\/68?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901 - -5944.\nAnswer: 5043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 + 1.1. Let d = -4.93 + -0.07. Sort d, f, -1\/2 in descending order.\nAnswer: f, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 7*y - 10. Let n = 9 + 0. Let v be q(n). Suppose 2*p = 3*p + 2, 5*c + 3*p = 54. Calculate the highest common factor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 74904 = -4*v, -5*v = 5*q - 7*q + 37437. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -7. Let j = 6.8 + -0.8. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 + 8*c - 7. Let w(a) = -a**2 + 8*a - 7. Let s(h) = 6*q(h) - 5*w(h). Let f(t) = 6*t**2 - 7*t + 7. Let p(g) = 5*f(g) + 4*s(g). Is p(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52657 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7558*y + 46201. Determine p(6).\nAnswer: 853","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/72300405 and 89\/80580.\nAnswer: 289201620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190551*x**2 + 0 + 3 - 3.\nAnswer: 190551*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143\/(-2)*50\/(-550).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 2. Let r(u) = -3*u - 3 + u - 4*u**2 - 4 + u**3. List the prime factors of r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2. Let d(o) = -3*o**2 - o + 1. Let g(t) = -d(t) + 2*x(t). Let i(w) = -8*w**2 - 10*w + 10. What is -10*g(h) - i(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89861 and 25047.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(7\/3)\/j**(-4\/9)*((j\/(j*j**(-2\/5)*j))\/j*j*j*j)**(-35\/2)*(j*(j**(-2\/5)*j)\/j)**37*(j\/j**(2\/9))**(-24) assuming j is positive.\nAnswer: j**(-1637\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260893982?\nAnswer: 2, 130446991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 9:06 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 0 in decreasing order.\nAnswer: 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -130342 (base 5) to base 10\nAnswer: -5097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 906463913 to the power of 1\/2, to the nearest integer?\nAnswer: 30108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.8 - -37. Let q = -9 + 4. Let y = q + s. Which is the nearest to 0.1? (a) 0.3 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -0*q + 96. Let o = q - 8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {e: 7, d: 7, l: 2, s: 3, w: 1}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, 3, -24971, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 8. Let i = 65 - 43. Let t = i + -16. Let v be d(t). Solve 0 = z - v*y + 7, 3*y + y = 20 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:18 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 35098?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 12 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4864341, 4864343, 4864345?\nAnswer: 4864347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2020376 divided by -5\nAnswer: 2020376\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(77)*2)\/sqrt(7) + (sqrt(11) - (sqrt(11) - (sqrt(11) + 0))) + 3 - (sqrt(891) + 4 + -1)*-1)**2.\nAnswer: 264*sqrt(11) + 1705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 3*n + 13, 6*c = 5*n + 2*c + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14752390 to the nearest integer?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d50 + 501a?\nAnswer: 7d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let q(x) = -2*x**2 + 3*x**k + 2*x**2 - x. Suppose 5*s = 8 - 3. Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35481, -35459, -35437, -35415, -35393, -35371?\nAnswer: -35349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q - 3. Let i be a(-8). Let h = -13 - i. Calculate the remainder when h is divided by (-3)\/3 - -3 - -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25366)\/(-940) + (-22)\/55. Let q = 51\/47 - h. Calculate the common denominator of q and 3\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561131311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (742\/28 - 27)\/(1*2\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2809532l to millilitres.\nAnswer: 280.9532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 8. Let j = -9 - -15. Let v be w(j). Suppose v*g + 2 = 5*k - 73, -2*k = -g - 29. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 47310*n + 141908. What is y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - 0 - (-2772)\/12. Calculate the greatest common factor of n and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762324691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27834159, -27834154, -27834149?\nAnswer: -27834144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4201526, 8403060, 12604594, 16806128, 21007662, 25209196?\nAnswer: 29410730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -50. Calculate the greatest common factor of u and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-5))\/(6\/20). Let f(x) = 2*x**2 - 5*x - 3. Calculate f(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 83595?\nAnswer: 8359a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -28. Solve 2 + 2 = -d*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (72 - 47)*72\/5 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:21 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51, 23, 369, 1125, 2429, 4419, 7233, 11009?\n\"Answer: 23*v**3 - 2*v**2 - 81*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000358727441 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*n + 21, -2*x - 3*n + 16 + 17 = 0. Calculate the remainder when 12 is divided by (-21)\/(-4) - 3\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 914244296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:54 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1092629?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 3, r: 2, l: 2, k: 1, u: 3}. What is prob of sequence rkaq?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -273, 1, -0.14, 4, -5 in decreasing order.\nAnswer: 4, 1, -0.14, -3, -5, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9174 + 474 = 12*u. Suppose -6*g = -u - 1176. Does 30 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5516 + -6.67. Round l to 2 dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 - 15 = -4*y, 4*f = -4. Let n(b) = 3*b**3 - b**2 + 1. Let c be n(1). Find the second derivative of q**3 - 12 + 12 - 3*q - y*q**c wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, 174, 788, 2030, 4110, 7238, 11624, 17478?\n\"Answer: 35*y**3 - y**2 - 46*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110001110 (base 2) in base 5?\nAnswer: -134033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u = -31*u + 103*u - 82214. Which is smaller: -1\/3 or u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 80885440.\nAnswer: 566198080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-43)\/(3\/24*-2). Suppose a = 4*k - 0*k. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2055 - -0.3046. Let f = -0.099096516 + n. Round f to seven dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3. Let b be l(-3). Let d be 1\/6 + (-5)\/b. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.7? (a) -0.3 (b) 1855 (c) 1\/4 (d) -3\/2 (e) 3\/4 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -308 or -389.93?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 32, 3075, -6, 8, 0 in ascending order.\nAnswer: -6, -4, 0, 8, 32, 3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1222002010?\nAnswer: 1222002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-4 - (17 - 0)) - 21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/6 + u**3\/3 - 11*u. Factor s(k).\nAnswer: -2*k*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/21 - 551\/133.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-12))\/4*(-9)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 14*z**2 + 15*z + 6. Let n = 81 - 91. What is the hundreds digit of s(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -24. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -60*c + 10. Let r = -125 - -122. List the prime factors of q(r).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:32 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 23*o + 8. Let h(s) = -7*s**2 + 131*s + 41. Let b(y) = -11*f(y) + 2*h(y). Factor b(z).\nAnswer: -3*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5973*f - 25*f**2 - f**3 - 5973*f - 9*f**2 to l*f**3 + c*f**2 + w + m*f and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**6\/300 - m**5\/75 - m**4\/60 + 2*m**3\/15 + 7*m**2. Solve f(c) = 0 for c.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-9))\/((-32)\/32))\/(4\/228)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, b: 2, a: 1, q: 3, i: 1}. Give prob of picking 2 t and 2 q.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 24*o**2 - 29*o + 93. Let c be m(25). What is the biggest value in -2, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/4 - 9895*k**2\/4 - 8954427*k\/2 = 0 for k.\nAnswer: -1563, 0, 11458","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -563636521 to the nearest 1000000.\nAnswer: -564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.7, 7\/5, -0.4 in decreasing order.\nAnswer: 7\/5, -0.4, -17.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-1 - (12 + 0 + -15) - 4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114409229 to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -16855*h**3 - 4*h**2 + 2*h + 3. Suppose -3*m = -3*p - 3, -6*p = -2*p - 3*m. Let f be c(p). Let s = -4355112 - f. Round s to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + b**2 + 5*b - 3. Let q be h(3). Let v be 18\/q*(-10)\/(-4). Put -2, v, -1\/7 in descending order.\nAnswer: v, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-606)\/5 - ((-45)\/(-25))\/(-9). Let d = 217 + k. Differentiate -30*o**3 - 43 - 39 + d with respect to o.\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**3 + 4456*d**2 + 741740*d - 746200 = 0.\nAnswer: -910, -205, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -79*c**4\/2 - 14*c**2 + 83. Find the second derivative of v(m) wrt m.\nAnswer: -948*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92\/28 + 0 + (13 - (31 - 15))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 136018763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*h**5\/2 - 170823*h**4\/2 + 2790234*h**3 - 23519424*h**2 + 12544512*h = 0. What is h?\nAnswer: -8167, 0, 4\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*g**2 + 100*g**2 - 33*g**2 - 41*g - 30*g**2 to i*g**2 + v*g + n and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/2 - 545*u\/2 - 547.\nAnswer: (u - 547)*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 867*q = 14*o + 872*q + 13, -o - 3*q = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*g + 5*i - 549 = 0, 4*g - 546 = -2*i. What is y in 6131*y - 6203*y + 2*y**2 + 496 + 16 + g = 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 412, 5, -20 in ascending order.\nAnswer: -20, -1, 5, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7719 - -7714. What is the third biggest value in 0.09, v, 1.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5, -7\/20, 4\/9, -2\/15, 0.08?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 4*z = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 11\/9, 1, 125\/3, -4?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - x. Let p be 6\/x - 3\/(-2). Let y = -0.04 + -0.26. Which is the nearest to 0? (a) 4 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578*a - 204*a - 190*a - 200*a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -82d031 (base 14) to base 13\nAnswer: -bb7811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4) - 109\/(-2). Suppose -62 + 194 = 6*d. What is the highest common divisor of d and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -24)*11 - -3. Let h = j + -240. Which is the closest to 1? (a) 0.3 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24687 + -12?\nAnswer: 24675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/147*7\/(-33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -31*p - 1050. Calculate a(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*j**3 + 25*j**3 + 14*j**3 + (2*j + j - j)*(19*j - 19*j - 19*j**2).\nAnswer: -44*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 5*i**2\/2 + 72. Let g(s) = s**3 + 2*s**2 - 5. Let m = -25 - -25. Let c be g(m). Determine h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/3614 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -32*m - 77. Let o be h(-9). Let f = -118 + o. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 432564.266 to the nearest ten.\nAnswer: 432560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 18 - 1 = -u, -5*n + 4*u + 8 = 0. Suppose 2*s = 3*l + 1, 36 = n*s - 2*l + 14. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409375.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 5*p + 54. Let j be (-2)\/12 + 183\/p. Suppose -z = -36 + j. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -q, 6*q + 16 = 5*q - 3*f. Let h(s) = -2*s + 7. Determine h(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0 (b) -0.4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 271?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479659985 to the power of 1\/2, to the nearest integer?\nAnswer: 38466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8601*f - 8956*f = -6745 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/900 - 17*c**5\/300 - 3*c**4\/10 - 51*c**3\/2 - 6*c**2 + 15. Let l(x) be the first derivative of h(x). Factor l(w).\nAnswer: 2*(w - 18)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 171, 312, 519, 798?\nAnswer: 1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1078\/43659)\/(10\/(-18))?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/21 and 52\/231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, h: 2, a: 2, i: 1, m: 2}. What is prob of picking 1 m, 1 h, and 1 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -9*k**2 - k - 1. Let w(n) = -69*n**3 + 7*n**2 - n - 1. Give w(r) - x(r).\nAnswer: -69*r**3 + 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (17 - (-4 + 8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1477160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2780.1 from 1739.\nAnswer: 4519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2\/8 + 1129*l\/8 + 20542065\/4 = 0.\nAnswer: -5870, 6999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2798594257 to the nearest integer?\nAnswer: 1409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r - 22. Let g be w(5). Suppose x - 4 = g*x, -2*x - 1627 = -3*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(0*f**3 + 0*f**3 - f**4)*(-f + 2 - 2).\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 - 6 - (42 - (-15 - -58))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1064.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5*s = 5, s + 2*s - 3 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 = 50. Suppose -2*w = -4*z + 6, 4*z + 5*w + 4 - 3 = 0. Let k = s - z. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/350863 and -17\/20639?\nAnswer: 350863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4564 + -4553.015. Let c = -0.495 - v. Let u = -0.02 + c. Round u to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/153 and 50\/221.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*j - 2*d + 10, 3*j = -4*d + 26. What is the first derivative of j*o**4 - 4*o**4 - 2 - 1 wrt o?\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 102 = 3*i, 5*i - 4*t - 60 = 2*i. Solve 3*o + 29 = 5*n + 13, i = 5*n + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -122*u + 1719. Give p(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*l + l. Suppose -2*y - l*y - 33 = 0. Put 1, y, 5, 0 in descending order.\nAnswer: 5, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450822387 to the power of 1\/3, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) - 2\/8. Suppose 4*l - 15 + 11 = 0. Which is the nearest to 2\/7? (a) 2\/7 (b) y (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 20*g + 39. Give b(9).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 40. Let m be u(8). Suppose -m = -11*q + 6. Solve p - 5 = -4*l, 0*p - q*l = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -944 * 2.\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26707, 26713, 26719, 26725?\nAnswer: 26731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {y: 2, a: 1, r: 1, t: 2, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123016236 and 9430?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2019 (c) -0.3 (d) 0 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 9*t**6\/10 - 9*t**2 + 30*t. Differentiate r(s) wrt s.\nAnswer: 108*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 4, b: 4, x: 1, h: 2}. What is prob of picking 2 b and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 31*q + 49. Let n be s(17). Put 3, n, 24 in descending order.\nAnswer: 24, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -33. Which is the second smallest value? (a) 0.4 (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 434 = 8*n + 6*n. Suppose 0*l + l - 100 = -2*w, -2*l + 195 = 3*w. What is the remainder when l is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from kkwkknwnn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13643, 27262, 40849, 54404, 67927, 81418?\nAnswer: 94877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nyssbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 206311171 to the power of 1\/2, to the nearest integer?\nAnswer: 14364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -309.29865521899.\nAnswer: -309.09865521899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -37. Let g(x) = x**2 + x. Let r(t) = 8*t**2 - 2*t. Let p(w) = g(w) + r(w). Calculate the least common multiple of a and p(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37119356.\nAnswer: 2, 863, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25386 is divided by 6336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5848 is divided by 444?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/60 + j**4\/4 - 11*j**3\/6 - 4*j**2. Let c = 6 + -3. What is the remainder when h(-8) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252.37 + -252.77. What is the third biggest value in 5, 19, -3\/5, l, -1.6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/41, -3, -2\/5, -0.24 in descending order.\nAnswer: 2\/41, -0.24, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 50. Sort 1, n, -3 in descending order.\nAnswer: n, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 8. Let i be b(-6). Find the third derivative of -2*j**2 + j**5 + 6*j**i - j**2 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -7. Suppose k*y + 14 = 2*y. Suppose 0 = 5*l - 28 - 12. Is l <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2 + 1412*m + 4272 = 0.\nAnswer: -3, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613*p**2 + 489*p**2 + 634*p**2 - 1364*p**2.\nAnswer: 372*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2 + 11374*g + 45480 = 0.\nAnswer: -11370, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.16 - -0.16. Let k = 15.54 + m. Let r = 0.45999962 + k. What is r rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39496, -39483, -39468, -39451, -39432, -39411?\nAnswer: -39388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84583 divided by 850\nAnswer: 84583\/850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -1\/8, 937, -2\/19 in increasing order.\nAnswer: -1\/8, -2\/19, 0.8, 937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -185, -157, -95, 13?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 > -18.3664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-31)*((g\/((g*g\/(g\/(((g**(-11\/6)\/g)\/g*g)\/g*g)))\/g))\/g)\/g)**(2\/19) assuming g is positive.\nAnswer: g**(203\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-9 - -7) - 0 - (-8 - -21).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 0*b + 7 - 6*b - 3*b**2. Let f(o) = -8*o**2 - 16*o + 21. Let t(v) = -4*f(v) + 11*z(v). Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 24. Suppose j*s = s + 15. Suppose 4*n - 3*n - 49 = -2*k, -s*n + 245 = -3*k. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d. Let h = 16 - 11. Let t = -339 + 344. Solve 2*y = -d*y + t*x + h, 3*x + 3 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 6*u**2 + 7*u + 2. Let v be (1 - 0)*74\/2. Suppose -9 = 4*w - v. Let s be k(w). Sort -2, s, -3 in decreasing order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x. Let q be ((-36)\/(-16)*2)\/(18\/24). Calculate k(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 0*q + 3 + 2*q**4 - 4*q + 0*q - q**2 to the form n*q**3 + m*q + w*q**4 + c + v*q**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -14 + 12 + 3 + 15 - 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -6 - (-18 - (-23 - -12) - -6) - (19 - 1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(490\/(-147)*6\/(-40))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.2 - 1.2. Which is the closest to -1? (a) 5 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -22*m**4 - 3*m**3 + 12*m. Let q(d) = 43*d**4 + 5*d**3 - 23*d. Let n(j) = 10*b(j) + 6*q(j). What is the second derivative of n(i) wrt i?\nAnswer: 456*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 3) + (47 - 61) + (-2 - -17) + -55\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 578900 to the nearest 10000.\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4564 + 0.0436. What is the nearest to 1\/2 in z, 2, 1.6, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -2*x + 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k. Let a(r) = -3*r + 6. Let h(o) = a(o) - 4*p(o). Suppose 0 = 3*c - c. Let z be h(c). Calculate the highest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**6 + 0*l**5 + 0*l**2 + 11\/3*l**3 + l + 0 - 1\/12*l**4 + 1\/21*l**7. What is the second derivative of k(b) wrt b?\nAnswer: 40*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 12:15 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 203 (b) 3 (c) 2.1762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 675 and 135.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (-104 + (90 - 19))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 144?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160355850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 11, -2, 0 in increasing order.\nAnswer: -2, -0.03, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 0*u + 0*u**2 + 0*u**4 + 55\/3*u**3 + 68 + 2\/3*u**6 + 0*u**5. What is the third derivative of v(l) wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - 4) + 6 - (53 - 90).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5)*-4) + 1 + (sqrt(7) + 2 + (sqrt(7) - (-4*sqrt(7))**2))*1.\nAnswer: -109 + 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 - 37 = 5*d. Let q = 26 + d. Suppose -11 = -5*a + q. Solve 3*n = -n + a*r - 32, n + 5*r = 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + (-5)\/(-3). Let d(q) = 2*q**2 + 0*q**2 - 6*q**x + 2*q**2. Let u(r) = -2*r. Determine d(u(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 469*o**2\/2 + 2807*o\/4 - 935\/2.\nAnswer: (o - 935)*(o - 2)*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 9:00 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*-1)**2 - ((sqrt(50)\/sqrt(10) - sqrt(5))*-6)**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(sqrt(3) + 0) + -2) + -3.\nAnswer: -7 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2745*m + 133 = 2728*m - 377 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21539\/11 - 1958. What is the closest to c in 39, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326 - 12*l - 326)*(0*l + l + l + 0*l - 2*l + 5*l + 2*l - 2*l + l + (2*l - 4*l + 0*l)*(0 - 2 + 0) + 0*l + 0*l - l)*(12*l**2 - 11*l**2 + 10*l**2).\nAnswer: -1188*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + 403627?\nAnswer: 403635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8051*z - z**3 - 8051*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(66) + sqrt(66) + -6*(sqrt(66) - 2*sqrt(66)) - (sqrt(66) + sqrt(66)*1)*-2))\/((sqrt(294) + -2*sqrt(294))*-5*6).\nAnswer: 8*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -316963, -633922, -950873, -1267816?\nAnswer: -1584751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -15435 and -1.\nAnswer: -15436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 61*b - 63 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let m(d) be the first derivative of d**2\/2 + 11780. Suppose -3*o + 0*o = -15. Suppose o*l + 16 = -19. What is l*m(x) + 3*v(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 9*x + 2*z - 12 = 0, -5*z = 5*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2e (base 15) to base 14\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 23\/73 (c) 9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 16 + 23 - 3*z)*(-1 + 1 + 2*z) to the form w + q*z**2 + s*z and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 67.65 times -65.82\nAnswer: -4452.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181906\/3 + -1213131112\/20007. Let t = 420187\/400140 - a. What is the common denominator of t and 2\/(-3) + (-139)\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3\/5. Let n be (-4530)\/27924 + 14\/91. Let d = -173\/716 + n. Which is the nearest to w? (a) 0.2 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7855 - -7860. What is the third smallest value in b, -350, 1\/4, 0.5, 0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = h + 2 + 44, -12*h = -3*i + 96. Let a(t) = t**2 - 8*t + 12. Calculate a(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 14264466.\nAnswer: 14264466.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*264\/55*(-15)\/6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 14*y + 10. What is the smallest common multiple of 156 and r(6)?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5523 times 86?\nAnswer: 474978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/60 + 3*x**2. Let k(f) = -10*f. Determine c(k(w)).\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*21\/(-9)*(-8)\/196. Sort -0.4, -3, 4, u in decreasing order.\nAnswer: 4, -0.4, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26, 1\/3, -45?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from zddz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 5 - 0 - -2) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2287, -9087, -20419, -36283, -56679, -81607, -111067?\nAnswer: -145059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (10 + (-13 - -23 - 17)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 110095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/((-2)\/(-4) + (-20)\/8). Differentiate -y*f**3 + 2 + 6*f**3 + 14*f**3 - 3 with respect to f.\nAnswer: 51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -501*t + 42*t**2 + 494*t + 53*t**2 to the form a + o*t + h*t**2 and give h.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-297))\/((-4)\/(-18)*3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 4*3\/6. Suppose y*x + 0*x = 5*m + 109, 0 = 4*m + 4. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*z**3 + 2946*z + 5744846?\nAnswer: -66*z**2 + 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j - 2. Let r be d(-2). Suppose 4*s = -6*v + 2*v, -5*s = 4*v + 3. Factor 3*x**2 + r*x**2 - 7*x**2 + 2*x**v + 4*x**2.\nAnswer: 2*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 2 + o + 0*o - 4 + 10*o**3. Is s(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18150 and 112860.\nAnswer: 6207300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 4\/3, 4\/4587?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 101709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 539, 827, 1095, 1337, 1547, 1719?\nAnswer: 1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 29712734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 17*c + 25 = 0. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55.058 + 0.058. Let y = -44 - n. Let b = y + 15.2. What is b rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/14 + (-2)\/14. Let n = -280 + 275. Put -4, t, -8, n in ascending order.\nAnswer: -8, n, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 1, e: 18}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3))\/sqrt(5) + (sqrt(11) - 3*1*sqrt(11)) + (sqrt(99) - (sqrt(99) + 2)**2*3 - sqrt(99)).\nAnswer: -309 - 37*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 32266 * -0.23432\nAnswer: -7560.56912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 6. Let y(n) = -n + 7. Let h(g) = 7*j(g) + 6*y(g). Let x(z) = -z. Let m(t) = -12*t. Let v(f) = -2*m(f) + 22*x(f). Determine h(v(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 5*x - 2*c + c, 1 = -3*x + c for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*i**4 - 2*i**4 - 3*i + 7*i**4 + 2*i wrt i.\nAnswer: 192*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 12 - 17*z**3 + 9 - 4.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 3*o - 337. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17426487\/25 = 697059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240198750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*d + 58*d - 1045 = 0. List the prime factors of d.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from gggq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84505, -169063, -253621, -338179?\n\"Answer: -84558*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2408 - 2268 + 1128 + 490)*(0*t**5 - 4*t**5 + 3*t**5).\nAnswer: 3058*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + 0.33. Let a = -4.5 + 4. Let v = a + o. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23722581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 21, -r + 23 = -0*r - 4*c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - z - 5 + 605*z**2 - 287*z**2 - 301*z**2 to the form c*z + m*z**2 + q and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 13. Suppose -o*z = -2*z - 15. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1352865305 by 4.\nAnswer: -1352865305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 1 - 2 + h)*(-3526*h - 24 + 24 + 1026*h) in the form c + d*h**2 + t*h and give t.\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ddbnnnr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**0\/q))**(14\/11)*q**(-2\/5)\/q*q**(-3\/10)\/q assuming q is positive.\nAnswer: q**(-17\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9859 - 1283 = -134*r. What is the third smallest value in 0.1, -4, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*187\/(-23562)*(-12 + 0)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 63?\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -197?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 1. Let h be 1387 + 2 + u - -2. Suppose -4*r + 3975 = 5*s, 4*r - 2594 - h = -4*s. What is r rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2232060 - -3.1608258.\nAnswer: 2232063.1608258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -174*y + 866. Give c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693194674?\nAnswer: 2, 7, 19, 73, 101, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5 - 1. Let n be (p\/(-21))\/((-22)\/33). Are -1\/7 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 1:09 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7521\/40 - 188. Let h(v) be the second derivative of 1\/6*v**4 + 1\/168*v**7 - 1\/60*v**6 + 1\/4*v**2 - 7\/24*v**3 - q*v**5 + 0 - 4*v. Factor h(u).\nAnswer: (u - 1)**4*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 a factor of 335924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -522.28 to the nearest 10.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 - 3*y**2 + 0*y**2)*(-y - 5*y + 4*y) + 65*y**3 + 140*y**3 - 29*y**3 + 3*y**3 - 1 + 1.\nAnswer: 177*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4729458 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184032*h*o**5 + 3*h*o**2 - 123*h*o + 6*h + 41*o + 3 wrt o.\nAnswer: 3680640*h*o**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(22)\/sqrt(2)*6*-5.\nAnswer: 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72136211?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/7)\/((-6)\/42). Suppose -16 = -q - j. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n**4 - 7*n**2 - 3*n - 3. Let u(y) = y**5 - 7*y**4 + 15*y**2 + 7*y + 7. Let i(f) = 7*s(f) + 3*u(f). What is the third derivative of i(v) wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1478, -5825, -13070, -23213, -36254, -52193?\nAnswer: -71030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3, 0, 33\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -269, -3, -4, -1096 in decreasing order.\nAnswer: 2, -3, -4, -269, -1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5 + 159*w**2 - 79*w**2 + 4*w**3 - 67*w**2 + 29*w. Let u be m(-7). What is u rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1039, 2100, 3073, 3958, 4755, 5464, 6085?\n\"Answer: -44*y**2 + 1193*y - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (34 + 6)\/(-4) - -21\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.801 - 389889.\nAnswer: -389899.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, m: 9}. Give prob of sequence lm.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 - h**4\/24 + h**3\/3 - 2*h**2. Let u be f(-3). Calculate the highest common divisor of 126 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 233 - 87. Let f = -974 - -982. What is the greatest common factor of f and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13500 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 + 2187*k\/5 + 182222.\nAnswer: -(k - 2545)*(k + 358)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -72?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*p + 2*a, -p + 2*a = 4*p - 39. Suppose 0 = p*n - 26 - 1. Solve -5*o - 2*m = 12 - 0, -n*o + 5*m - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 11, -18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 b when four letters picked without replacement from {b: 5, t: 2, f: 3, m: 2}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-6))**31 assuming f is positive.\nAnswer: f**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/(2\/48). Let r(s) = s**2 + 11*s - 8. Let y be r(f). What is the units digit of (-4 + 6)*18\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*r = 78154 + 45194. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*v - 20*i**3 + 4*i**2 - 14*i*v + 10*i wrt i.\nAnswer: -6*i*v - 120*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jssssjsssjsssss. Give prob of picking 3 j.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 91740 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 4:13 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55847 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l*l)\/(l\/(l\/(l**(4\/5)\/l)*l)*l))**(-9\/4)*((l*l*l*l**1)\/l)**8*(l**2*l)\/l*l**(-4) assuming l is positive.\nAnswer: l**(2927\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.29925 weeks to milliseconds.\nAnswer: 27396986400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7)\/4 - 6\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -11. Let k = -17 - -18. Calculate the lowest common multiple of (v - -2)\/(1\/10) and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*3*(0 - -2). Suppose -y = 4*g + 3*k - 11, 2*k - 6 = -5*g. Solve g = 6*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 1\/(1\/1). Let s be g\/(-3)*(-5 - -8). Suppose 2*t + 10 = 7*t. Sort t, s, -4 in decreasing order.\nAnswer: t, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 89, 131, 169?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -49762242 greater than -49762241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 101. Let y(p) = -17. Let a(n) = -o(n) - 6*y(n). Let j(q) = q**2 - 7*q - 6. Let i be j(7). Let h(f) = 6 + 4 - f - 2. Determine i*a(u) + h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 + 161. Let x be (-6)\/4*(-4)\/6. Which is the nearest to y? (a) 0 (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**5\/30 + 5*k**2. Let i(u) = 35*u. What is i(w(p))?\nAnswer: -70*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-19)*q*q)\/((q*q**12)\/q))\/(q\/((q*(q*q**(1\/12))\/q)\/q))**(14\/5) assuming q is positive.\nAnswer: q**(-947\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 93852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 5. Let f be j(7). Let y = f + 8. Suppose -y*r + 4*r = -938. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56928\/(-4151) + (195\/(-20))\/3*-4?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a**2 + 4*a + 4. Let q(n) = -n - 37 + 27 + n**3 + 9 + n**2. Calculate i(m) + 4*q(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2589*x**2 - 863*x**2 + 42 - 865*x**2 - 864*x**2.\nAnswer: -3*x**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from kcyknkeykhnke?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23095876 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 1\/2 (c) -3\/25 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -515 + -141. Let m = -657 - j. Let l = 1.3 + -0.3. What is the nearest to l in -3, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s + 0 + 8*s**2 + 0*s**3 - 1\/12*s**4. Let l(r) = 10*r. Give l(t(c)).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 6:54 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 2*b - 3 + b + 0 to i + x*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 11*t**2 + 6*t + 1. What is the units digit of h(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20687829\/451 - -45871. Which is bigger: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6296, -6338, -6396, -6470?\n\"Answer: -8*a**2 - 18*a - 6270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/104*2330\/3495?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3862*f - 3990 = -3463*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**2\/2 - 11*f + 8. Determine i(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**2 + 11*u**2 - 22*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 - 11*v + 9. What is k(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323032 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*s**2 - 15*s**2 + 2*s**3)*(3*s**2 + 0*s**2 + 0*s**2) + 2*s**5 + 0*s**5 + 0*s**5 + 11*s**3 + 11*s**5 - 11*s**3.\nAnswer: 19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**3 + 20776*h**2 + 166402*h - 686136 = 0. What is h?\nAnswer: -11, 3, 10396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9543397, -38173601, -85890611, -152694427, -238585049, -343562477, -467626711?\nAnswer: -610777751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5 - 3*c + 5. Let h(d) be the third derivative of 0 + 0*d + 0*d**3 + 1\/24*d**4 + 73*d**2. Calculate h(w(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/95655 and 31\/5627475?\nAnswer: 5126629725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*v + v = -32, 0 = -v + 4. Is b bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8986320 and 1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 - -6) - 0 - 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2967 + 2963. Put -18, 5, 1, -5, h in descending order.\nAnswer: 5, 1, h, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 3865706?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 112*r + 116.\nAnswer: -4*(r - 29)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 6 + 20)\/(-7*(-12)\/6636)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1148*h**2 + 584*h**2 + 13 + 590*h**2 to the form u + q*h + w*h**2 and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**4 + 6384*l**3 + 31852*l**2 + 50928*l + 25456 = 0?\nAnswer: -1591, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17310 by -3462.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -5*q**4\/6 - 72*q. Let b(a) = -1 + a + 1. Determine b(d(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 84\/(-6) - 0\/38?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 - 10*n - 3. What is f(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1134 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 9*h**2 - 64. Let g = -51 + 43. Let s be t(g). Solve -j - 4*o = -s*j - 19, 4*o - 16 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -4 (c) -129 (d) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 x, and 1 y when four letters picked without replacement from jajaaabxjxxnxynnyjbb.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 72, 272, 566, 930, 1340, 1772?\n\"Answer: -4*t**3 + 71*t**2 + 15*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(2 + 3\/(-3)). Let x(c) = l*c**3 + 6*c**2 + 4 + 7*c**2 - 8*c**3. Let k be x(13). Solve -4*v = 16 + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 255*p - 28*p + 8064 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -15. Let g be (1 - 3)*11\/v. Let z(d) = -4*d**2 + 24*d - 74. Let u(m) = 5*m**2 - 24*m + 75. Let c(l) = g*u(l) - 3*z(l). Factor c(h).\nAnswer: 2*(h - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnho when four letters picked without replacement from {e: 2, n: 4, h: 1, d: 4, v: 4, o: 4}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7726938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2. Let v(r) be the third derivative of 115*r**4\/12 - 7*r**2 - 63*r. Determine v(h(f)).\nAnswer: -1150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 26*o**2 - 28*o + 55. Let i be w(-25). Let m = i + -116. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -0.3. Let p = -1531 - -1523. Which is the closest to d? (a) -0.5 (b) p (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 895*g. Let h(b) = -1753*b. Determine h(u(j)).\nAnswer: -1568935*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5261.798cm to meters.\nAnswer: 52.61798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen eighths of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -22 + (-6 - -18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**4\/12 - 3*t**2 - 5*t. Let x(c) = -1. Calculate -f(s) + 6*x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**2 + 45862 - 8*w**2 + 7*w**2 - 45862.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 + 87*z + 16. Calculate f(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*m**3 - 227*m**2\/4 - 85*m\/2 + 189\/4.\nAnswer: (m - 1)**2*(208*m + 189)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 312350 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 23 + -16 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, and 2 i when four letters picked without replacement from uluiutfftilufffffuif.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -416417 (base 8) to base 14\nAnswer: -38699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -9) + (48\/2)\/2. Solve -76*h + 80*h - o = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 1. Let r(l) = -2*l + 15*l**2 - 1 + 0 - 10*l**2 - 5. Calculate -6*g(m) + r(m).\nAnswer: -m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/20 - 28\/112?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of m**4\/24 + m**3 + 12*m**2. Determine l(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 173121 and 11387?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0195 - 2.9805. What is the nearest to -0.2 in -2\/3, x, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(48)\/sqrt(48) - sqrt(4)) + (sqrt(108) + 1)*3 + 0)**2.\nAnswer: 96*sqrt(3) + 777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (5 - 4 - 2))*(-18 - -11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2 - m - 9. Let c be z(-8). What are the prime factors of c\/(1\/1)*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1564 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -227900 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 905600 divided by -11320?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:34 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 160.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*v = 908*v + 33174 + 41556 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 21 = 11*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -26*p + 24*p. Suppose 3*k = -p*g + 49, -2*k = -4*k - 4. What is the remainder when 18 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 1. Let t(l) = 6*l**3 + 10*l**2 - 10*l - 4. Let m(r) = 2*r**3 - 6 + 5 - 3*r + 3*r**2 + 0. Calculate n*t(z) + 10*m(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 2*y - 2. Let v be f(2). What is the third derivative of 3*o + v*o + 5*o**2 - 5*o + 3*o**3 wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 24 = 4*k. Find the common denominator of (36\/7)\/6*28\/90 and (-4)\/((-144)\/(-278)) - k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -2. Let f be 2\/(-66) - (-2)\/(-6). Let o = -2\/11 - f. Which is the second biggest value? (a) -1 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (306\/15)\/(((-5)\/(-3))\/(33\/(594\/(-75))))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t\/t**22)\/t))\/(t**7*t) assuming t is positive.\nAnswer: t**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 - 116*m**2 + 22481*m\/3 + 293454.\nAnswer: (m - 238)*(m - 137)*(m + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:52 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*y + 12, 3*y - y + 5*x = -8. Let r = -807 - -1609\/2. Which is bigger: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35072891.828733 + 35072859. Let x = z + 33.2187. Let l = -0.39 + x. What is l rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -46914, -46924, -46934?\n\"Answer: -10*m - 46904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1191 + 1191.65. Let h = 6.85 + -7. Let k = v + h. What is the nearest to -1\/2 in 3, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*(-2)\/15)\/2. Let g be (6\/2)\/3*2. Let i be 47 - (14 + 75) - -47. Put g, i, 0.1, p in increasing order.\nAnswer: p, 0.1, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*c**4*u**3 - 3339*c**4*u + 74*u**3 + 2632*u wrt c.\nAnswer: -396*c**3*u**3 - 13356*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75011 divided by -6.\nAnswer: -75011\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -257*p**3 - 7*p + 14. Let a(h) = -86*h**3 - 2*h + 4. What is 7*a(s) - 2*l(s)?\nAnswer: -88*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 divided by 18?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 - c. Let x be g(6). Let z be 2 + (-4)\/8*-2. Put x, 1, z in ascending order.\nAnswer: x, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*w + 5*k + 17, 5*w - 37 = -3*k. Suppose -2*f = -0*p - w*p - 31, 5*f = -4*p + 28. What is the remainder when 36 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/3 - 4\/3*k**2 - 4*k = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209083?\nAnswer: 7, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -41955 to the nearest one hundred.\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3757)\/(-442))\/((-2)\/4) - 26\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4748 = 34*f - 15244. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1524 (base 10) to base 16\nAnswer: -5f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k - 2. Let j(o) = o**2 - 19*o + 1. Let f be j(16). Let a = f - -16. Let z = -34 - a. Determine u(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 - 300\/(-45)) - (-2)\/(-6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrq when three letters picked without replacement from hhhrhhshqqqhdqhd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/695794 and 97\/632540?\nAnswer: 6957940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 175 and 52935909.\nAnswer: 52936084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -110121220112 (base 3) in base 7?\nAnswer: -2053361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/3 - 10*l + 22\/3*l**2.\nAnswer: 2*(l - 1)*(11*l - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, 23, 18, -5, -52, -129?\n\"Answer: -z**3 + 14*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.01 (b) -10\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - (-2)\/6)\/((-5)\/75). Let b(t) = -3*t - 22. Let w be b(k). Put -4, w, 0, -1 in decreasing order.\nAnswer: 0, -1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (7 + 0 + -69 + 67 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7570 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, l: 2, m: 1, k: 6, u: 1}. What is prob of sequence yukl?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -6*t + 4*t - 3*r, -4*r + 8 = -2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 8 + 65)*(3*w - 3*w - w) + 2*w + 2*w - 2*w + ((-2 + 9 + 1)*(1 - 3 + 0) + 0 + 2 + 0)*(w + 0*w - 2*w) to p + u*w and give u.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 3)*(15838*a - 15838*a + 15 + 2*a**3 + a**2) to l*a**3 + m*a + r*a**2 + x and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.84 + -0.16. Let k = -13.3 + 13.26. Which is the closest to p? (a) -5 (b) -2\/9 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -567776, -567733, -567652, -567515, -567304, -567001, -566588, -566047?\n\"Answer: 3*w**3 + w**2 + 19*w - 567799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 294666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3551, -7110, -10669, -14228?\nAnswer: -17787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 263499.03 minutes in hours?\nAnswer: 4391.6505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p*x*y**4 - 2*p*y**3 - 26*p*y**2 - 3*x - 2*y**4 wrt y?\nAnswer: -72*p*x*y - 12*p - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 24. Put -3\/4, v, 3 in descending order.\nAnswer: 3, v, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 15)\/(-2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 10*n**2 + 9*n - 4 - 19*n**3 + 2 + 20*n**3. Let v be t(-9). Is 3\/(((-6)\/177)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252741975 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.8 + 19. Which is the closest to r? (a) -3 (b) 2\/11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/194289109 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150860608 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)\/(a**(1\/10)\/a))**(1\/12) assuming a is positive.\nAnswer: a**(23\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/16)\/((-66)\/(-88)*-4).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Let i(k) = k**2 + 23*k. Let j be i(-24). Let g = -22 + j. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -355.78 - -64.88. Let i = -279 - s. What is i rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176 - 12*j**2 - 176 + (5 - 1 - 3)*(-1 - 3 + 6)*(-3*j**2 + 2*j**2 + 0*j**2).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t + 47*t + 5*y = 6, -13*t - 19 = -3*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 954, 1903, 2852, 3801, 4750, 5699?\n\"Answer: 949*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -86*m**2 - 9*m - 5. Let x(y) = 89*y**2 + 11*y + 7. Calculate 4*i(j) + 3*x(j).\nAnswer: -77*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -409887171+0.1\nAnswer: -409887170.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 + 11*l - 9. Let m be k(2). Let n(s) = -s**3 + 10*s**2 - 6*s - 11. What is n(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12926736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 10. Let h(m) = -4*m - 10. Let f be h(-7). Let l = n - f. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 900 + -400. Suppose 7*l - 2*l - w = 0. Suppose -l = -3*j + 11. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*g = 38, -6 = 5*t - 3*g - 2. What is the nearest to -2 in -16, -2\/3, t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 86.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13867790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3202296 is divided by 620.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678.209um to nanometers.\nAnswer: 678209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165959)\/27247 - 3*-2)\/((-4)\/(-11)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*p - 0*n + 92, 2*n = -4. Let q be 1173\/6 - 2\/4. Calculate the remainder when 1\/(0 + 3\/q) is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 8. Let x(p) = 16*p - 35. Let k(q) = -11*q + 23. Let h(z) = 8*k(z) + 5*x(z). Calculate 6*h(v) - 7*i(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 6*a**2 + 7. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 + 22 + 4 + -15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -525\/727 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23.44, -4\/9, -0.124?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/(-25))\/((-69)\/15)*-20. Which is greater: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478007970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-39\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l - 3. Let u be g(13). Let i = 51 - u. What is the remainder when 57 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 6. Let b be (-1 + 0)*(5 + f). Let y(q) = -2*q**3 - 3*q**2 + 3*q - 4. Is y(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**5 + 18276*h**2 + 10464*h - 2?\nAnswer: -80*h**3 + 36552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 65*j - 169. Solve 0 = -o - 2*m + j*m - 4, 2*o - 3*m = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1628 or -1629?\nAnswer: -1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 4. Let h(n) = -n**3 - 6*n**2 - 7*n - 1. Let w be h(t). Let i = w + -1. Solve 3*z + 12 = -3*c, -6*z + z = c + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2161 - -2)\/3 - -2. Suppose -2*w = -5*d + 665, 2*w = 4*d + 191 - b. What is the units digit of (d\/7)\/((-1)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fde when three letters picked without replacement from {e: 1, c: 2, x: 4, d: 3, f: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 42. Suppose -204 = -3*u - 4*w, 4*u - 348 = -u - b*w. Let m = -9 + u. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.9 + -2.5. Let g = -7 + 75\/11. What is the smallest value in 2\/9, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -110, -1, 0, 1 in descending order.\nAnswer: 2, 1, 0, -1, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iivkaikgiikii. What is prob of picking 1 i and 1 a?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3204 and 118692714?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r - 1. Let y(x) = -13*x**3 - 4*x + 2. Determine -2*f(l) - y(l).\nAnswer: 13*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.3, -1\/2, 4, -101?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 163\/(-2) + (-38)\/(538 - 6)*(-18 - 3)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1681931.\nAnswer: 1681931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5977*q**3 + 2002*q**3 - 6276*q**3)*(-2 + 1 + 0).\nAnswer: 10251*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.043 (b) -0.3 (c) -154 (d) -2\/5 (e) -3\/4 (f) -0.422\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3449681 and 20682?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*y + 0*y + y)*(2 - 3 - 1) - 2*y - 2*y + 6*y)*(0 + 4 - 10) in the form g*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -449, -3169, -8165, -15437, -24985, -36809?\n\"Answer: -1138*c**2 + 694*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -125233?\nAnswer: 125240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1488601 by 4.\nAnswer: -1488601\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 bigger than -6143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:01 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) -3\/2 (b) 0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205811027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1) + -1 + -1. Suppose h = -2*j + 2 + 2. Let u(q) = -3*q**2 - 3*q + 1. Let z(i) = i**2 + i - 1. Give j*z(o) + u(o).\nAnswer: -o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 23 + 40. Find the common denominator of 41\/7 and 14\/q - (-404)\/198.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3127183407 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 11. Let a be (-1 + x)*(-13 + 4 + 1). Calculate the greatest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/143 and 83\/24715288?\nAnswer: 271868168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -11735\/43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3091.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 10, -12 in decreasing order.\nAnswer: 10, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -9*c**5\/20 - 2*c**2 + 2*c. Differentiate b(r) wrt r.\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 219 - 152. Suppose -115 - y = -7*a. Calculate the least common multiple of 2 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165 (base 7) in base 8?\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 693 - 716. What is the closest to 1 in -0.4, 5, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-700)\/(-42). Let h(k) = -5*k**2 - 24 - i + 49. Let d(s) = -4*s. What is d(h(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 407 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2054575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7748 - -3?\nAnswer: 774b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d + 1. Let o(c) = -7*c - 2. Let h(y) = y. Let w(a) = 6*h(a) + o(a). Let v be w(2). Is f(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uzyfqffzzqffqqzqzy. What is prob of sequence fzqy?\nAnswer: 25\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956 divided by -12?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/21, -2, 5, -130?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m. Let l(z) = 7*z**2 - 2*z**2 - 3*z**2. Give l(s(n)).\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 647 - -18?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 - (0 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.1 - 114.9. Let n = -207 - a. Let d = n + 63.999953. Round d to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 22*g. Let u(l) = 28*l**2 - 11. Let w(f) = -5*f**2 + 2. Let m be (6 - (-46)\/(-8)) + 267\/(-12). Let d(j) = m*w(j) - 4*u(j). Determine d(p(z)).\nAnswer: -968*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -418, 25, 4 in descending order.\nAnswer: 25, 4, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203432, 406862, 610302, 813752, 1017212, 1220682?\nAnswer: 1424162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6 + 5, 2*d = -5*k + 1691. What is the remainder when d is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 95. What is the closest to 0 in u, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 7852.\nAnswer: 39260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.0192 to one decimal place.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 16\/20)*5.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 62*c + 1. Let w be v(3). Let y(l) = l**2 + 3*l - 3. Let i be y(-4). Let o(n) = 17*n. Let q be o(i). What is the greatest common divisor of q and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93864906?\nAnswer: 2, 3, 131, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112) + -3*(sqrt(112) - (-2 + sqrt(112))))**2*5 + (-3*(sqrt(112)*1 + 1))**2)*5*2.\nAnswer: -5040*sqrt(7) + 52710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 - 5*n**4\/24 - n**3\/2 + 18*n**2. Let x be h(6). Suppose x*p = 8*p - 20. Solve -4*m = 20 - p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 11\/11081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151674 and 227511?\nAnswer: 455022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s. Let k(g) = -g - 8. Let w(t) = -27*t - 168. Let h(y) = 42*k(y) - 2*w(y). Give 4*h(d) - 18*u(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 48*n + 3523. Calculate l(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285841723.\nAnswer: 37, 34752479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4568864 or -16\/9?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 23*g + 33 = 0, -5*d - 2*g = -569 + 620 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 + 46\/10. Suppose -8*f + 7*f - 1 = -3*h, -f - m*h = -7. Solve n - f = -n, 2*j + n = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16, -23, -30?\n\"Answer: -7*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -516a?\nAnswer: 516a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12346765?\nAnswer: 5, 919, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*n = -8824 + 9104 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*k + 10*k + 18*k)*(-1 + 0 - 1) in the form q + h*k and give h.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Let a(h) = -1 + v - 2*h. Does 3 divide a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724\/925 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4858\nAnswer: 24290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/28 - (1\/12)\/((-41)\/369). Let r(x) be the second derivative of -9\/14*x**2 + g*x**3 + 0 + 1\/28*x**4 - 15*x. Factor r(h).\nAnswer: 3*(h - 1)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-60)*-120 + 45\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(4\/78*-3). Let z be (-49)\/(-21) - 44\/(-3). What is the highest common divisor of g and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-two thirds of a week?\nAnswer: 2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1632 and 46\/623635.\nAnswer: 1017772320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/(819\/(-27)) - (-31)\/7. Suppose -736 = -2*c + p*k + k, -c + 366 = -2*k. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from dwwdww?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 2)*(-10 + 10 + 3*g) to the form x + y*g and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -21.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmkakamkk. What is prob of picking 4 k?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-12))\/(-1)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9328920.\nAnswer: 2, 3, 5, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -159 + 139. Let i be (-2 + (-16)\/h)\/(12\/(-40)). What is the derivative of 42*v**3 + 39*v**4 - 42*v**3 - 10*v**i - 47 wrt v?\nAnswer: 116*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - i)*(-3*i**2 + 6624*i**3 - 6467*i**3 + i**2).\nAnswer: -157*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let a(q) = 38294*q. Give i(a(b)).\nAnswer: 2932860872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Let g be ((i + 1)\/2)\/(-10). Which is the second smallest value? (a) g (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/101 in -5, -3\/16, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - x - 5)*(-2*x - 4*x + x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-11)\/r)*(r\/(r*r**(-1)))\/r)**(-18) assuming r is positive.\nAnswer: r**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/5, 429, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*h + 25 + 6, 0 = -3*x - 2*h + 1. Suppose -21 = 2*v - 3*v + 3*a, -2*a + 4 = 0. Let n(m) = -18 - v + 3*m + 44. What is n(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, i: 8, n: 4}. Give prob of sequence iiy.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000606528351 to seven decimal places.\nAnswer: -0.0006065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t. Let s(m) = -30*m. Let b(a) = -5*s(a) - 24*v(a). Is 36 a factor of b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -20*i**2 + 3*i - 3. Let s be k(2). Suppose -5*j - 24 - 26 = -2*t, 20 = -2*j - 4*t. Is 4\/(-10)*s + (-2)\/j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -816 + 6715*v**4 + 6686*v**4 - 13452*v**4 wrt v?\nAnswer: -204*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -608, -4920, -16646, -39494, -77172, -133388, -211850, -316266?\n\"Answer: -618*w**3 + w**2 + 11*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -101100111000101101011111?\nAnswer: 101100111000101101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + 172. Let h(c) = -46309*c**2. Give f(h(y)).\nAnswer: 15011664367*y**4 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-10))\/d*d*d*d\/d**(-2))\/((d*d*d\/(d**(1\/12)\/d)*d*d)\/((d\/d**3*d)\/d*d)) assuming d is positive.\nAnswer: d**(97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = v - 7 - 7, 12 = 4*p - 2*v. Suppose 17 = l + 5*x - 2*x, 2*x - p = 0. Suppose l*s - 288 = 5*s. Calculate the highest common divisor of s and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -158, -3, -5 in decreasing order.\nAnswer: -3, -5, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -657600303.5+1.1\nAnswer: -657600302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306328 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5017*b**2 + 111*b**2 - 675*b**2.\nAnswer: 4453*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -56*o*t**3 + 8*o + 9*t**3 - 41 wrt t?\nAnswer: -168*o*t**2 + 27*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3636.09 + 3636. Which is the nearest to 0.2? (a) -3\/4 (b) -5 (c) o (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4232639 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/5 + -4)\/(-1). Suppose -4*d + 0*d - 16 = 0, -5*i + 5*d + 50 = f. What is the remainder when 18 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 51?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - 46. Let f = h - -3. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 213*n**2 - 27*n - 6 wrt n?\nAnswer: 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -142*h**5\/5 - 89*h**4\/8 + 212*h**2 + 1. Find the second derivative of a(m) wrt m.\nAnswer: -3408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 + 5*y**2 + 6*y - 24. Let g(t) = -t**3 + t**2 + t + 1. Determine d(w) - 5*g(w).\nAnswer: -w**3 + w - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141112 + 21433343?\nAnswer: 21242231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7650 and 180?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuunuyuuiuuhnuynu. Give prob of picking 1 i and 1 y.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + -0.43. Let d = 0.19 - -0.01. Let n = 0.2 - d. What is the nearest to n in -5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 15*i + 10*i - 34, -19 = 2*o + 5*i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 1, s: 1, e: 1, j: 1}. What is prob of sequence smej?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25, -50, -75?\n\"Answer: -25*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4940, -4840, -4672, -4436, -4132?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/10))**29*(s\/s**(-5))**(3\/11))**29 assuming s is positive.\nAnswer: s**(32973\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 - -3d2e74?\nAnswer: 3d2e4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.9735 + 35. What is b rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/176 and -43\/672?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*n - 72*n - 1475000 = 0. Round n to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Suppose d = -2*a - 39 + 709. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 187593 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-four fifths of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**3 + 90*t**2 + 105*t - 397. What is j(31)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5595 and 54?\nAnswer: 100710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -22*j - 222. Let a be v(-10). Let z(r) = -1 - 4*r - r + 4 + r**2. Let c be z(4). Sort 1, a, c.\nAnswer: a, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23880000 to the nearest 100000.\nAnswer: -23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -138*s**2 + 21*s**2 + 55 - 21 - 18 - 18 as m + h*s**2 + t*s and give h.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 76. Suppose -k + 3*p = 3*k - j, -3*k + p = -4. What is the lowest common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89 - 90 - (19 + -4)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 181965?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + l**2 - 4*l - 1. Let h be r(-5). Let j = 294 + h. Let w = j - 23. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 5. Let c = 0 - f. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622720212143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - q**2 - 49*q + 20*q + 110*q.\nAnswer: -q**2 + 84*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9396 divided by -174.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 284542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(432)*3)\/(3*sqrt(108)\/(sqrt(12) - sqrt(12)*-5)).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 + (-1540)\/(-2940)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912887, 912876, 912867, 912860, 912855?\nAnswer: 912852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14d + 23c?\nAnswer: 38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000290048683 rounded to seven decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426768811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.2 - -12. Let s = 0.16 - d. Let i = -1.16 + s. What is the second biggest value in i, 4, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41.742 and -0.531.\nAnswer: 22.165002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429036?\nAnswer: 2, 3, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-10))\/(2\/(-35)). Let a be 36\/(-30)*(-30)\/4. Let u = b - a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*s*u - 2*u - 85 wrt s?\nAnswer: 254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 178 = -163 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2 - (64 + -76).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 6) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a - 79. Let o be i(0). Let z = -55 - o. Suppose 6*j - 2*j = z. Calculate the least common multiple of j and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (2 + (-6)\/4)*(-6610100)\/(-1349)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 42 + 7 = -4*j + 95, 2*j + 46 = -6*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 7:00 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 11*b + 5*b + 162*b**3 + 0*b.\nAnswer: 162*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469080677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*q + 6 = 45*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + (1 - -2 - 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(-4 + (-9)\/(-12) - -3). Solve -v*r + 4 = 5*z, -4*z + 2*r = -7*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 - 39162*k\/5 + 625312.\nAnswer: (k - 39082)*(k - 80)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.115279 and -1145.\nAnswer: 131.994455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/144409979 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 846\/(-2256)*((-2)\/(-4) - (-30)\/(-99)). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42563440?\nAnswer: 2, 5, 443, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279659895\/784 + -356709. Calculate the common denominator of 25\/98 and j.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = o + 89, -o = 5*i - 3*o - 115. Calculate the remainder when 77 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*d = -0*r + 22, -3*r + d = -8. What is the remainder when (-9)\/18*(-206)\/r is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -888, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1026 and 99962154.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*987\/282*9\/(-483)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 185, 439, 809, 1295?\nAnswer: 1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/180 - p**5\/6 + 19*p**4\/18 - 8*p**3\/3 + 2*p**2 - 29*p. Let c(r) = 0. What is r?\nAnswer: 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3 + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/1241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068 times -389?\nAnswer: -415452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/5 of a milligram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -7*t**4\/24 + 7*t**2. Let q(j) = -j**2. What is u(q(k))?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 11:10 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/2*v**3 + 0*v**2 + 34*v + 0. Let j(r) = -12*r**2. Calculate j(p(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42266 and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(480)*-5)\/(sqrt(1000) + sqrt(1000) + 6*(sqrt(1000) + sqrt(1000)*-1)) + -2.\nAnswer: -3*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828286 is divided by 762?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 209145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2747 times 1.15435\nAnswer: -0.317099945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 0.4 (b) 49009\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1609\/(-46661) + 1132\/29. Suppose 4*k - 504 = k - 3*d, 5*d = 3*k - 512. Calculate the greatest common factor of g and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 2*k**5 + 0*k**4)*(2 - 3 + 0) - 5607*k**5 - 133032*k - 2925*k**5 - 2914*k**5 + 133032*k - 4*k**3.\nAnswer: -11448*k**5 - 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3074)\/(-10) + (6\/10 - 0). Let o = q - 310. Which is the nearest to 1? (a) o (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/36 + 585915\/(-550935)?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*i - 68, i - 39 = -2*a - 2. Suppose -33*d + i*d = -8. Solve h = -2 + d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 17033, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:47 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287*56.\nAnswer: 16072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 + -36. Suppose -a - 92 = -4*l + 148, 0 = -2*l - 2*a + m. Let d = 70 - l. Solve -24 = 4*h - 5*f, 5*h + 6*f - 2*f = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 250 = -2*g + 4*g, o = 5*g + 72. Suppose -2*b + o = m, 2*b = 5*m - b - 436. Let l = -25 + m. What is the remainder when l is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14621607 divided by -1124739?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) -4 (d) -2\/29 (e) -567 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -3 - (-1 - 2). Let u = -67 + 15. Let a be (18\/k)\/(39\/u). Let z(p) = -p - 7. Give z(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-16 - 2 - (121 - 111))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(65)*-4)\/(3*sqrt(45)*6).\nAnswer: 10*sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 2*i**2 + 6*i - 3. Let r(g) = -g**3 - 4*g**2 + 5*g - 3. Give -5*n(v) + 6*r(v).\nAnswer: 4*v**3 - 14*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-7)\/a)\/a)\/(a\/a**(2\/3)))\/(a*(a*a**(-1)\/a*a*a)\/a)**(6\/13) assuming a is positive.\nAnswer: a**(-382\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000643144834 to 6 decimal places.\nAnswer: 0.000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2*f, 5*l + 5*f + 2 = 17. Let r = 4 + -6. Sort -4, l, r in ascending order.\nAnswer: -4, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 19 + 34)*(1 - 2 - 4)*(-8*u**5 + 6*u**5 + 9*u**5).\nAnswer: -2905*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1825 + 51115\/28. Let g = p - 1\/28. Factor 1\/2*s**5 + 0*s**3 + s**2 - g*s + 0 - s**4.\nAnswer: s*(s - 1)**3*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*l + 3. Let f = -504 + 513. Suppose l*w = w + f. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002221021202 + 12?\nAnswer: -10002221021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*s**5 - 2*g*s + 5*g - 2*s**5 - 48*s**3 - 6*s wrt s.\nAnswer: -40*g*s**3 - 40*s**3 - 288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p + 5 + 3*p - 3*p**2 - p**2. Let x(u) = -u**2 + 19*u - 32. Let h be x(17). Let q(f) = -2*f**2 + 2*f + 2. Give h*w(r) - 5*q(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 546*l**3 + 8 + 82*l**2 + 10 - 268*l**3 - 16 - 275*l**3 in the form r*l + h*l**3 + c + v*l**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4*sqrt(1900)*4 - sqrt(1900)) + -1)**2.\nAnswer: -900*sqrt(19) + 427509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 13, 5, -4, 8 in decreasing order.\nAnswer: 13, 8, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 20*c + 78. Give k(10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y + 49 = -11*y. Let q = -1\/20 + -7\/60. Is q <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:07 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.23 - -1.63. Let w = h - 0.4. What is the second biggest value in 5, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + (sqrt(1539) + sqrt(1539) + sqrt(1539) + sqrt(1539) + 0 + sqrt(1539) + sqrt(1539) + -1 - 2*(sqrt(1539) + 1) - -6*(sqrt(1539) + 2)*6)))**2.\nAnswer: 414720*sqrt(19) + 22198464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -7*(6 + 56\/(-8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:26 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 155d0 (base 14) to base 13\nAnswer: 1b34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 408320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.545 litres in millilitres?\nAnswer: 35545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.90657936 rounded to two decimal places?\nAnswer: -3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -7\/776 (c) 2\/7 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34762307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3 + 9. Let g = -28\/199 + -5065\/2189. Find the common denominator of g and (122\/48)\/((-1)\/p).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + l**4 + 3*l**4)*(5*l - 30 + 30).\nAnswer: 5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21660, -4, 4.\nAnswer: -21660, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 8 = 2*u, -2*u - 3*z = -0*z + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 12*t**2 + 13*t. Let k be x(13). Suppose -6 = -3*a - k*a. What is the second derivative of f - 3*f + 0*f - 3*f - 4*f**a wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-117))\/(7\/126)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125, -126, -127?\n\"Answer: -j - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -1.5, 2\/15 in descending order.\nAnswer: 2\/15, -3\/10, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16*z - 6 = -12*z, l = -4*z + 9. Solve 3*h - 6 + 3 = -2*b, 4*b = -5*h + l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {t: 4, d: 3, r: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/11726 and 71\/4059.\nAnswer: 105534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -6 + 0 + -51. Let o = -23 - l. Let v = o + -4. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-70)\/(-20)*-6*1*(-2)\/(-6). Let u(c) = 3*c + 4. Let l(h) be the second derivative of -2*h**3\/3 - 5*h**2\/2 + h. What is t*u(d) - 6*l(d)?\nAnswer: 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 12*v + 5*j - 28, 2*v = j + 28. Solve v - 29 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3\/6)\/(2250\/(-15000))*12.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, b: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -135385.2 minus 209.1?\nAnswer: -135594.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222120201100010100 - 12?\nAnswer: 1222120201100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -674730 (base 9) in base 12?\nAnswer: -175783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 3*o - 7. What is f(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*2 + sqrt(35) + sqrt(385)\/(sqrt(88)\/sqrt(8)))\/(sqrt(135)\/((sqrt(24)\/sqrt(2))\/sqrt(4))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 45 + 10*k**3 + 93.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1792267?\nAnswer: 1792267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 61 = -9*n. Suppose 2*v - 2 - 2 = 0. Let k(p) = -p + 1. Let u be k(1). Solve v*f = -u*f - n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 194\/(-97)*((-21)\/6)\/7*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 705336 < 705336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213890 and 15038?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**3 + 4*v**2 - 4*v + 4. Let f(o) = o**3 - o + 1. Let b(z) = -c(z) + 5*f(z). Determine b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7) + (-330)\/315. Let r = 17488\/175 - 58\/175. Let q = -100 + r. Sort -3\/4, q, d in decreasing order.\nAnswer: q, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860148 is divided by 430064.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 69831 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxxseexxbeb. What is prob of picking 2 x and 1 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 - 202 + 911*h - 199 + 611.\nAnswer: 911*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.3, 7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 3. Let z(r) = -23 + 113 + 7*r - 24 - 10. Let s be z(-7). Calculate w(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 251*m + 762.\nAnswer: -(m - 254)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -38*t + 8. Calculate the smallest common multiple of 96 and j(-2).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**17*t\/(t\/(t*(((t*t*((t**(3\/10)\/t)\/t)\/t*t*t)\/t)\/t)\/t))*t\/(t\/t**(8\/5)))\/((t*t**(-3))**(3\/5))**41 assuming t is positive.\nAnswer: t**(501\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210 + 2*f - 2*f - f - 2*f.\nAnswer: -3*f + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 10485\/1922 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 62, 76, 102, 146, 214, 312, 446?\n\"Answer: r**3 + 7*r + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 56 = -2*o. Let x = o + -18. Let w(r) = -3*r. Let z(l) be the first derivative of l**2\/2 + 1. Give x*z(q) - w(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5615 - 5613. What is the closest to j in -1\/6, -0.502, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/497?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.81372 rounded to two dps?\nAnswer: -40.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = f + 7, 2*v + 2*f = -3*f + 19. Suppose -u + 19 - 10 = 2*x, x - 8 = 3*u. Which is the second biggest value? (a) u (b) v (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*c + 3)*(-1 + 1 - 1) + (2 - 4 + 4)*(c - c + c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 23 = 266 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (-20)\/(-11) + 26\/143.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(875))\/(-1*sqrt(343)*-5).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5186, -17585, -51228, -116735, -224726?\nAnswer: -385821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 66. What is the smallest common multiple of (-3)\/12 + j\/(-4) and 11 - ((-1)\/(-1) + 0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(1\/((-108)\/90))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 32 = -2*s + 5*w, s = 2*w + 14. Suppose 0 = -s*b + 37 + 27. Let x(i) = -i**2 + 9*i - 10. Calculate the least common multiple of b and x(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -2 + 15\/(-60)*2*-6. Solve n = -8*g + 20*g + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/1)\/(-4 + 5). Suppose -5*t = -y*t. Sort 5, t, 1.\nAnswer: t, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o + 6*o - 3*o + (1 - 4 + 1)*(-3*o + 0*o - 3*o) - 5 + 2*o + 5)*(-1 - 1 + 3).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by (-4)\/((-32)\/(-620))*22\/(10 + -21)?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277975 - 277975 - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*s - 5*s + a, -a = 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25 + 1\/((-1)\/1). Suppose -7*g + 6*g + 5 = 0. Suppose g*b - 55 = -25. What is the greatest common divisor of b and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 8 - 16. Let j = v - 1. Factor -12*m**3 - 3*m**j - 6*m**3 + 12*m**4 - 4*m**2 + 16*m**2 - 3*m.\nAnswer: -3*m*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 + 2546*a + 415767. Calculate h(-628).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 + 19*w**3\/2 + 19*w**2 - 80*w.\nAnswer: w*(w - 2)*(w + 5)*(w + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 7 - 1 - 1 + 5*b - 3. Calculate the remainder when 26 is divided by z(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 29*n - 13. Let a be f(0). Let x(c) = c**3 + 13*c**2 + 6*c - 14. Give x(a).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 5*d - 132. Suppose -d = -5*k + 2*k. Calculate the greatest common factor of k and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 524338\nAnswer: 524338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/306)\/(1\/(-6)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w + 117. What is s(-13)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/(f*f**(-3\/4)*f))\/f)\/f**(2\/5)*f**(-2\/11)*f**(1\/12))**(-3\/8))**(-50) assuming f is positive.\nAnswer: f**(-1235\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14345915 less than -0.01?\nAnswer: -14345915.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/3477 and -181\/8044296.\nAnswer: 490702056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 28 = -2*a. Find the common denominator of a and 207\/(-30) - (0\/3 + 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18068*h**3 - 10881*h**3 + 22 - 56 - 2346*h**3 + 33)*(-2*h - 4 + 4) to y*h**4 + l*h + f*h**3 + d + j*h**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75101106 to the power of 1\/3, to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -193 - -194. Which is the biggest value? (a) 2\/13 (b) 0.2 (c) -28 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q**3 + 59*q**2 - 58*q**2 - 3*q**3)*(-3 + 1 - 16) as f + o*q + y*q**3 + r*q**2 and give y.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 63 (c) 4 (d) -0.3 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.6. Let x be (-3)\/(-8) + -1 + 1. Which is the closest to 0? (a) x (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00075243843 to seven dps.\nAnswer: 0.0007524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(4\/7)\/(j*j\/(j\/j**(-23))) assuming j is positive.\nAnswer: j**(158\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = j - 25. Suppose -836 = -j*h - 208. List the prime factors of h.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-48) + 228\/(-144).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600)*-3)\/sqrt(10))\/sqrt(12))**2 - (sqrt(500) + -4 + -2)**2.\nAnswer: -491 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 1 (c) -461\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 13*b - 15*b - 110 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63024 by -2.\nAnswer: -31512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (102\/918)\/(2\/(-2))*(3 + 14 - 14)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 14*s**2 + 23*s + 34. Give t(-13).\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 463323352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/(-2*2 + 3). Let o = -200 + 188. Let y(u) = u**2 + 7*u - 28. Let q be y(o). Calculate the greatest common divisor of q and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*z - 26, -5*g + 3*z + 25 = -2*z. Let k(v) = 6*v + 14 + 2*v - 9*v + 13. What is the smallest common multiple of g and k(17)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2, 0.2, -2000.26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + -24)*(-1 + (6 - 6))*-1*-7.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 + k + 11. Let j(u) = -u**2 - 1. Suppose 7*o + 5 = h + 4*o, 3*h = -3*o + 15. Determine h*j(g) + s(g).\nAnswer: 2*g**2 + g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 331 divided by -22\nAnswer: -331\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 3\/5, 2\/69, -3\/7.\nAnswer: -5\/3, -3\/7, 2\/69, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 123*l - 767. Let w be k(-15). What is the third biggest value in -5, w, 0, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 87b19?\nAnswer: -87b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 175\/(-49) + -1 + (-3)\/7. Let k = -20 + 8. Let x = p - k. Solve -5*g = -5*i + 5, x*g - i - 15 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 - -58. Let h = 114.9 - 153.9. Let q = h - f. Which is the third biggest value? (a) 16\/9 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16798, 16896, 17046, 17248, 17502, 17808, 18166?\nAnswer: 18576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*-2*1\/3)\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3054572.\nAnswer: 2, 37, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164413 is divided by 202.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - d + 4. Let n be c(0). Suppose 0 = n*h + 4*v - 1100, 3*h + 11*v = 6*v + 827. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -56031240 (base 7) in base 3?\nAnswer: -100002110021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 14439145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 - 48. Let l(o) = o**2 + 66*o + 540. Let v be l(-9). Let x(w) = w**3 + 7. What is v*x(a) + 4*b(a)?\nAnswer: 3*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57\/7 - -463\/56. Let x be (-3 + 1 + 1)*-2. Let o be x*-3*1\/(-6). Is b greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176) + 0 + sqrt(176)) - sqrt(176)) + sqrt(176).\nAnswer: 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*c - 3. Let g be ((-88)\/(-40))\/(c\/(-5)). Let u(n) = -n**3 - 10*n**2 - 8*n + 12. Let l be u(-9). Is l > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -175 + 173. What is the third smallest value in -2\/15, -0.4, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2657362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13122735 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.0565 - -0.0565. Which is the biggest value? (a) 6\/13 (b) 4\/3 (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 + -143. Suppose 3 + j = -5*d, 234 = c - 3*d. Let g = 1198 - c. Round g to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + -1 + -1 - sqrt(272)*2*4)*-5)**2.\nAnswer: 2800*sqrt(17) + 333300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1635 + 7*f - f**2 + 3*f**2 - 15*f + 5*f.\nAnswer: 2*f**2 - 3*f - 1635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 1255054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3 + 152349*v**2 + 1933956273*v - 5803240041 = 0. What is v?\nAnswer: -25393, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from aaayayaaa.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -3*c**3\/2 + c**2\/2 + 3*c + 1611. Let k(b) = -b - 1. Determine 3*k(n) - s(n).\nAnswer: 6*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 - -286. What is the highest common divisor of 270 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -35*c**4\/2 - 1207*c**2\/2 + 401*c + 2. Differentiate o(j) with respect to j.\nAnswer: -420*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*q + 5, -2*s + 34 = 5*q + s. Solve 14 = -3*u - q*g - 10, -3*u = g + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 165\/(-22))\/8.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 3) + 1 + -14 + 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4570838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3 - 0. Let d = -2 - n. What is the nearest to -2\/7 in d, -2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 414*w + 6514. Calculate i(-16).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, -38 in ascending order.\nAnswer: -38, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 1. Let s be c(3). Let g be (17 - 2)\/(1\/s). Suppose 5*t = -2*r + g, -4*t - 2*r = -33 + 7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + 290*l**2 - 854*l + 507. Determine v(142).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 36 = 8*a, -4*a = -3*y + 50 - 27 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 14*x**2 + 14*x + 7. Let v(b) = -b**3 - 24*b**2 + 214*b + 8. Let n be v(7). Calculate o(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -13 + (-6 - -10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**2. Let k be 8 - (-1)\/(-4 - -5). Let t(f) = -13*f**2 + 7*f**2 + k*f**2. Calculate t(n(x)).\nAnswer: 192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**7\/14 + k**6\/10 + 3*k**5\/20 - k**4\/4 - 2*k + 1. Let i(o) be the first derivative of p(o). Factor i(s).\nAnswer: -3*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(k + 0*k + k)*(90 - 57 - 50) to the form y*k + w and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2881 - -1018. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 + 8*u + 11. Let q be d(-7). Suppose -3*k = -q*v - 172 + 35, -k - 4*v + 19 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782140318.\nAnswer: 2, 7, 127295737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*p - 7*c - 13, c + 9 = p. Suppose -p*m + m = -45. Suppose -2*k - 3*s = -m, k + 3*s - 3 = 6. Solve 4*q - k - 14 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53460 (base 8) to base 7.\nAnswer: -122034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.7822215 - -10465\nAnswer: 10460.2177785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + (-142)\/(-7))*7. Suppose 0 = -4*c + c + l. Suppose 2*y = -c + 134. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 1 - -35 - 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2438, -10159, -23176, -41513, -65194, -94243?\nAnswer: -128684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 5*y + 44, -18*j - y + 8 = -13*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 220\/84 + 2\/(-7). Let m = y + -2. Is 0 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4015*k - 513*k = -1350*k - 24260 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52038 and 588.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/((w*w*w*w**(15\/4))\/w*w)*w*w*w**(-10\/9)*(w\/(w*w**(-6\/13))*w)**(1\/90))**(1\/51) assuming w is positive.\nAnswer: w**(-2999\/39780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -36325*(-7 - (-19 - -13))?\nAnswer: 5, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1530.4, -3, 5\/4, -6056 in increasing order.\nAnswer: -6056, -1530.4, -3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/17 and 83\/1340703?\nAnswer: 22791951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y. Let h(i) = 45*i. Let t(m) = -3*h(m) - 8*k(m). Let z(s) = -s. Determine z(t(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/4)\/((-60)\/(-48)). Let s(j) = j**3 - 3*j**2 - 4*j + 4. Let y be s(4). Suppose -q*w + 263 = 5*o, -58 = -5*o + y*o + 5*w. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 3)*(0*x**3 - 3*x**3 + 4*x**3) + (-58*x - 259*x - 115*x)*(-4*x**2 + 3*x**2 + 3*x**2) in the form l*x**2 + p*x**3 + r*x + g and give p.\nAnswer: -867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-14))\/((-30)\/(-4800)*-16). What is the second smallest value in 1, 3, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.97 + -71. What is the closest to q in -0.4, -4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -214\nAnswer: -12.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.08045 - 0.08. Round h to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 16. Which is the nearest to g? (a) 1 (b) 0 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162023 (base 10) to base 13\nAnswer: 58994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11211221200 - -10121?\nAnswer: -11211211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*c + 2*l = 5*l - 123, -29*c - 2*l + 2 = -15*c - 12*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.4 (b) 0.4 (c) 17 (d) -2\/29 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 51*s**2 - 218*s - 5. Let k be x(4). Let w(v) be the second derivative of 37*v + 0*v**2 + 0 - 4\/3*v**k. Give w(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0618 - 604.42.\nAnswer: -604.4818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -895\nAnswer: 1\/895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9806 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 4, -17758, 0.2 in descending order.\nAnswer: 4, 0.2, 2\/15, -17758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**4\/24 + t**3\/3 + 15*t**2\/2 - 43. Let k(j) be the second derivative of y(j). Give k(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 128847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2039 * 274.\nAnswer: -558686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(98) + sqrt(98) + -1)*3*6 - (-5 + (sqrt(98) - -2*sqrt(98)) + -4)*5) + -3)**2.\nAnswer: -8820*sqrt(2) + 44118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106604 + 9.7907.\nAnswer: 106613.7907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7175809, 14351625, 21527441, 28703257?\nAnswer: 35879073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 9 (c) 338\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-427)\/(-14) - (-2)\/(-4). Let c be k\/8*76\/57. Let l(g) = -2*g + 4*g**2 + 2*g**2 - c*g**2. Calculate l(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-365) + 9477\/(-949))*(-8)\/44?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39.3 and 19?\nAnswer: 746.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/604 and 17\/1456?\nAnswer: 219856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {k: 3, g: 1, m: 2, i: 6, a: 4, x: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -979?\nAnswer: -195.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 853160987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1046, -2600, -4154, -5708?\nAnswer: -7262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = -5*p - 85, 154 = -5*l + 4*p. Let b = l + 20. Let u = b + 14. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 9*n + 10. Let b be a(10). Let p(c) = c**2 + c + 108. Let r be p(b). Let w be r\/(-51) + 1 - -1. Which is greater: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 3}. Give prob of sequence rr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2629, 5338, 8127, 10996, 13945, 16974, 20083?\nAnswer: 23272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**5\/10 + v**4\/12 + 4*v**3\/3 - v**2 - 20. Calculate the remainder when n(6) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + 4 + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 63*r - 4 - 1.\nAnswer: 63*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 3*k - 10 - 6, 2*k = -4*y + 24. Let i be (-20)\/k*2\/(-5). Let f = 9 + i. Calculate the remainder when 24 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -9)*1\/(8\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 0.08 (c) -1\/5 (d) -2\/3 (e) -111\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5 = -3*h + 4*p, 2*h - 5*p = 7. Suppose -q = 2*q - 72. Suppose -37 = -5*c + 4*x, 5 + q = 4*c - 3*x. Solve h = l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -11. Suppose 83 = 15*l + 113. Sort t, 5, 1, l in ascending order.\nAnswer: t, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 8 + 1 = 3*z, 0 = y - 5*z - 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 12. Let j be h(8). Let p be 1\/4 + (-299)\/j. Solve 4*w - 15 = 3*b, 3*w + b = p*b + 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 426401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9, -3*h - 2*u + 111 = -0*h. Let f = 65 - h. Calculate the greatest common factor of 182 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-14))\/(40\/140)*(-3 + 3). Let t = 0.1 + -0.3. Which is the third smallest value? (a) l (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 550*h + 3. Let a(z) = z**2. Calculate t(a(y)).\nAnswer: 550*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-15))\/(8\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 3*x + 5, -g - 3*g = 8. Suppose -5*i - 100 = -5*q, 6*i - 44 = -q + i. Let b(o) = -q*o + 49*o - 26*o + 2 + 0. Determine b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x = -12 + 96. Let p be ((5 - -1)\/x)\/2. Factor 1 - k**2 + p*k**3 - 1\/2*k.\nAnswer: (k - 2)*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*((sqrt(136) - 2*sqrt(136))*-5 - sqrt(136)))\/(sqrt(40)\/sqrt(5)*6 - (sqrt(8) + (2*sqrt(288) - sqrt(8)))).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 3*o**2 - 3*o - 3. Let c be 6\/4*(-2)\/3. Let k be (1\/c - 3)\/1. Is y(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10035 + -9981. Solve u = 5*d + 22*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133 + y**2 - y**2 + 11 - 42*y + 2*y**2 + 8*y.\nAnswer: 2*(y - 9)*(y - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - u - 10 = -2*u, 0 = i + 4*u + 10. Let n = -1191 + 1190. Let l be -1188004 - (i + 5 - n). What is l rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33753, -5, 162, 13 in descending order.\nAnswer: 33753, 162, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11268\/33 + (-23)\/((-1518)\/36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 41?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3.8, 0.135, 57\/2 in descending order.\nAnswer: 57\/2, 3.8, 0.135, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -489 + 568. Suppose c = -3*l + 196. Calculate the remainder when 152 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v + 54. Let w be h(14). Suppose -b = -f, 12*b = 11*b - 5*f + w. Solve 0 = 3*o + 1 + b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -8*b**2 - 214*b + 11. Give p(-27).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/1860114 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 1. Let b(o) = 2*o**2 - 100. Let t(i) = b(i) - q(i). Let z(u) be the first derivative of t(u). Let g(r) = -66*r + 1. What is z(g(p))?\nAnswer: -132*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 0 (b) -1\/3 (c) 0.3 (d) -1601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3610603 is divided by 401154.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, l: 2, y: 2, i: 3}. Give prob of sequence xxy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 66866+-0.04\nAnswer: 66865.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19943 + 20883. Calculate the lowest common multiple of k and 220.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*i + 9 - 4*i**2 - 5*i**2 - 6*i**2.\nAnswer: -15*i**2 - 188*i + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*g + 592. Suppose g = -11*w + 14*w. What is the lowest common multiple of w and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 4, -0.03 in descending order.\nAnswer: 4, -0.03, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 15, -5*s + 23 = -o. Solve -6 = 3*t - 3*q, 3*t + 2 = -5*q + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3702, -7449, -11194, -14937, -18678?\n\"Answer: s**2 - 3750*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 2*z. Suppose 20 = -c + z*c. What are the prime factors of (6\/1)\/(c\/22)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46845902 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7591948 divided by -1897987.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/360 + c**3\/3 - 3*c**2. Let n(p) be the first derivative of s(p). Let i(o) = o**2. Give i(n(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 977*l - 5842. Give w(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57.9 - -57.889. What is the nearest to -1\/4 in -2\/3, 2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**5 + 715*n**3 + 11432*n**2 - 1479*n**3 - 173*n**3 - 1046*n**3 - 3323*n**3 wrt n?\nAnswer: 120*n**2 - 31836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - 13*j + 3*j + (-53 + 8 - 41)*(-5*j + 4*j - 5*j).\nAnswer: 505*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a. Let m(q) be the first derivative of 2*q**3\/3 - 703*q**2\/2 + 2*q + 2587. Calculate d(m(y)).\nAnswer: -4*y**2 + 1406*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -2\/5 (c) -1\/28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -94ca5 + -10cd?\nAnswer: -95d94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:01 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:13 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 8*n + 40. Calculate o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 j when three letters picked without replacement from {j: 7, n: 1, r: 5, k: 1, q: 2}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Let j = 0.07 + 0.43. Let q = k - j. Which is the second biggest value? (a) q (b) 3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**2 - 33 + 2*f + 5*f**2 - 44*f**2 + 11*f**2 + 16*f**2 to the form b*f + t + n*f**2 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 3\/2 (b) 52 (c) -1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23d + -2?\nAnswer: -23f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0*c**3 - c**2 + c**3 + 32 + c - 2*c**3. Let b be n(0). Let p = b + -18. What is the remainder when 40 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -77, -17, -4, -35 in ascending order.\nAnswer: -77, -35, -17, -7, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15364?\nAnswer: 2, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -119300 (b) 3\/2 (c) 1\/2 (d) 0.1 (e) -0.2 (f) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r = -4*w - 160, 3*w = -10*r + 7*r - 105 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 5*m - 10372, p = -p + 5*m + 5196. Suppose p - 78 = 10*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2\/21, 1\/78, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18201 + -18191. Let a(d) = -d**3 + 9*d**2 + 16*d - 54. Give a(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. What is the second smallest value in -2, k, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -23*q**2 + 11. Let i(r) = -1 + 4*r**2 + 1165*r - 7 - 1165*r + 6. Let z be (-19 + 21)*(-34)\/2. Give z*i(w) - 6*t(w).\nAnswer: 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*q - 3247 = 139*q - 671 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120\/17 + 7. Let h = w - -41\/119. Which is the third smallest value? (a) h (b) 3\/4 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 bigger than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 8 = 12*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199.6 + -199.2. Which is the second smallest value? (a) -10 (b) w (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-40)*(-6)\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from ddwddsss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-423)\/(-81) + (-4)\/18. Let f = 46 + -25. Let b = f - 13. Solve n*o + 7 + b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 5 - 15356*d**3 + 4*d**2 - 3*d**2 + 15355*d**3 - 217 as r*d**3 + x + m*d**2 + t*d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - 0.54. Which is the third smallest value? (a) h (b) -3\/8 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/5 + (-243)\/15. Let f = v - -1. Calculate the remainder when (-3*1)\/(f\/190) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -349, -280, -211, -142?\n\"Answer: 69*h - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -549*-4.\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*(-18*c + 162*c - 86*c).\nAnswer: -232*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + 5*w = -2, -5*q = 5*w - 40. Let y(c) = -c. What is y(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 432*h**2*y + 2*h**2 + 843*h - 4*y**3 wrt y.\nAnswer: 432*h**2 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2, -1\/14, 0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3615.627 plus 147382.2?\nAnswer: 143766.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pialpjgl. What is prob of sequence gi?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 87038.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133259.\nAnswer: 7, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 13 = -3*x, -4*u = -6*u + 4*x + 6. Solve -15*m + 18*m = -2*v + u, 3*v = -m - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 10*d**3 - 2*d**2 + 5*d. Let u(a) = 2*a**2 - 10*a**2 + 5*a**2 + 4*a**2. Let c(w) = -q(w) - 5*u(w). Find the third derivative of c(z) wrt z.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93490*h**6 - h**3 + h**2 - 2761*h - 33.\nAnswer: -11218800*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/((-275)\/42) + 8. What is the third biggest value in 5, 0, j, -1591?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2341*h + 1350 + 1196*h - 4890*h + 3*h**2 = 0?\nAnswer: 1, 450","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uceeqgueqegef. Give prob of sequence ce.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - d**2 + 2*d**2)*(2*d - 2*d + 2*d + (d + 2*d - 2*d)*(-4 + 4 + 1) + 0*d + 3 - 2 + 2*d).\nAnswer: 15*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 12. Let c be (7 - 1)*5\/10 - -2. Suppose -2*n + c*p = 3, -p = 2*n - 6*n - 33. Let s be m(n). Put s, 5, 2, 3 in decreasing order.\nAnswer: 5, 3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603117 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 7 = 2*o. Let c(u) = 3*u**2 + 9*u + 1. Is c(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -t + 15 - 6, 4*u - 4*t = 0. Suppose h - 6 = -2*z + u*h, z + h + 7 = 0. Is 12 a factor of ((-1)\/2)\/(z\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3 - 382*f**2 - 5280*f - 4896 = 0. Calculate f.\nAnswer: -12, -1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 21*b**2 + 161*b + 60. Let c be a(27). Let v(u) = -2*u**3 + 64*u**2 + 65*u + 32. Determine v(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 + l + 4. Let p(v) = -6*v**2 + 4*v + 13. Let w = -23 - -25. Calculate w*p(y) - 7*o(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 10015*t + 13 - 4.\nAnswer: -10015*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4*4\/8)\/1. Suppose 4*z + 3 = 2*h + 7, p*h + 5 = 3*z. What is the nearest to 1\/3 in 4\/5, z, -2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -438*x**2 + 713*x**2 + 1161*x**2 + 1 + 12*x**2 to q*x**2 + h*x + j and give q.\nAnswer: 1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i + 36 = 94*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229416, 917707, 2064874, 3670917, 5735836?\nAnswer: 8259631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -146240 (base 9) to base 14.\nAnswer: -24a6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 948 - 948.0000003438. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 118791 and 537219?\nAnswer: 1773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35563 by -1.\nAnswer: -35563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 2:27 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3 + 3660163*i**2 + 183010025*i + 2287633125 = 0.\nAnswer: -25, 3660213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.03211nm to micrometers.\nAnswer: 0.08303211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108 - (20 - 158)) + -76?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936932 by 4.\nAnswer: 234233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28177, -28175, -28173, -28171, -28169?\n\"Answer: 2*f - 28179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**4\/5 + 3001444*l**3\/5 - 30616116*l**2 + 2602409164*l\/5 - 14747096624\/5 = 0.\nAnswer: -750412, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s)**(-3\/13)\/(s\/(s\/((s**2*s)\/s)))**(-11)*(s**(-1))**(-7\/5)*(s\/(s*s*s**(1\/9)\/s))\/s**(-3\/7) assuming s is positive.\nAnswer: s**(99958\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 5, 1\/6, -0.6, 0, -241, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010101000 - -100011?\nAnswer: 1001011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 555a92 + 6a0?\nAnswer: 556682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10033 is divided by 379.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.817631 millimeters in kilometers?\nAnswer: 0.000009817631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 64230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 5, 10*h - w = 7*h - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*9\/(-12)*(-1072)\/24. Let b = -935\/4 - x. Suppose -1\/4*w**2 - 1\/2 + b*w = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 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: Which is bigger: 82 or 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219670741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -283 - -1135\/4. Which is the second smallest value? (a) 1.5 (b) -2 (c) w (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.502 - 56.502. Which is the closest to -0.1? (a) n (b) 1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*x - 12 - 10 = 0, 4*c + x = -88. What are the prime factors of c\/((-99)\/(-21) + -5)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/275 + 59\/(-45). Let y = 0.2 + -0.3. Which is greater: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 5255*n**2\/2 - 21032*n + 42072.\nAnswer: (n - 4)**2*(n + 10518)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (195\/(-15))\/(11\/33).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -17 + 113. Let x be (-2)\/7 + (-624)\/21. Let b = x - y. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 15*i + 13*i = -3*x, -5*x - 5*i = -0*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17424 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 47 - 46. Is (-7455)\/(-9) + (m\/3)\/1 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 3*h - 2. Suppose 0*x = -3*x. Let u = 4 + x. What is v(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4188521+0.2\nAnswer: -0.2188521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 4.002986?\nAnswer: -3.702986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2159? (a) -3 (b) -4\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/60*o**5 + 0*o + 0 - o**2 + 2\/3*o**3 + 0*o**4. What is the derivative of l(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/1001 (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947, -868, -789, -710?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192014, 192003, 191988, 191969, 191946, 191919?\nAnswer: 191888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5464\/5 or -1094?\nAnswer: -5464\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 86395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of q**3\/5 + 105*q**2\/2 - 162. Factor l(i).\nAnswer: 3*i*(i + 175)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 264524509*d**2 - 42*d + 4009132?\nAnswer: 529049018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -27. Suppose o = l - 3. Let k(f) = f**3 + f**2 - f + 1. Let p be k(1). Solve 0 = -o*u + 17 - p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26874*d**2 + 37610 wrt d.\nAnswer: -53748*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:15 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/(-45) + -2)*3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/49)*r**(-12\/7)*r)\/(r**(-20\/7))**(-2\/15))**4 assuming r is positive.\nAnswer: r**(-80\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 728 - 722. Which is the biggest value? (a) 4 (b) v (c) -14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.893 rounded to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3889158000 rounded to the nearest one million?\nAnswer: -3889000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 111 - ((1 - (-2 + 2)) + 2). Let q be (-2)\/(-5)*(w + 12). Find f, given that -55*f - 34*f**2 + 2*f**2 - 36*f**3 + f**3 - 10 - q*f**2 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 12*q - 13 + 13*q + 25 in the form c*q + b*q**2 + o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*u + 4*u. Let l(w) = -w**2 + 40*w + 52. Let d be l(23). Let j = d + -445. Put j, 2, u, -1 in decreasing order.\nAnswer: 2, -1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1080))\/sqrt(10).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 38. Suppose -n = -0*n - 5*g - 37, -2*n = -5*g - 54. Let w be d(n). Suppose 0*j - w*j = -464. What are the prime factors of j?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 - 3*o - 3. Let q be p(-4). Let v = 23 - q. Calculate the greatest common factor of v and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 1.6, 2, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 999144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**2 - 21*o + 14. Let s(c) = -36*c**2 - 62*c + 42. Let w(x) = 11*k(x) - 4*s(x). Let n(r) = -4*r**2 - 6*r + 5. What is -17*n(g) - 6*w(g)?\nAnswer: -4*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/112)\/((-1)\/(-2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**4 - 2*y**3 + 4*y**2 - 2 wrt y?\nAnswer: -144*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25091888 or -11?\nAnswer: 25091888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2290 and 1195780.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -416175?\nAnswer: 416176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(1700) + 1 + sqrt(1700) + -1.\nAnswer: 4 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1092 = 4*f, -4*f - 1104 = -8*f - n. What is the remainder when f is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/13)))\/t*t**(-2\/19))\/(t**(2\/9))**(25\/3) assuming t is positive.\nAnswer: t**(-18695\/6669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 - 1 = -g, 3*g - 2*h + 2 = 0. Suppose 3*j + c = -g*j + 1, 5*c - 5 = -3*j. Solve j = q + q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840.7 rounded to the nearest 10?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 8. Let u be i(-4). Let y be (-44)\/(-12) + u\/(-6). Solve -n = y*c - 10, -2 = 5*n - 3*c - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 15, -25, -3 in descending order.\nAnswer: 15, 0, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1969 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1235511.\nAnswer: 3, 137279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*f - 97*f + 25000 = -2*t, -8333 = -f + t. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 - sqrt(13)) + sqrt(325)*5 - (((sqrt(117) + (sqrt(117) - 5*sqrt(117)) + sqrt(117) + sqrt(117) + sqrt(117))\/sqrt(9))**2 + 3).\nAnswer: -2 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36005?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 15355454 + 17*b**4 + 5*b**3 - 97*b**4 + 3*b**2 + b - 15355451 to d*b**3 + g*b**4 + m*b**2 + y*b + z and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 27*a**2 + a + 2. Let x be g(0). Solve 0 = -5*p - 5*o + 30, x*o - 14 = -3*p + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14425 (base 6) to base 12\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7028\/6024)\/(2\/2)*(-12)\/224.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = -2*w. Let t(u) be the second derivative of -u**3\/6 - 3*u**2\/2 - u. List the prime factors of t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3219*c**3*u**3 + 2*c**3 - 53*c**2*u**2 - 71*c**2*u + 4*u**3 wrt u?\nAnswer: -19314*c**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(-48) + (-7592)\/3904 + 2 and 29\/488?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5286425 weeks?\nAnswer: 88.81194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.5 + 26. What is the third smallest value in 75, j, -5?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.1 + 126. What is the closest to 1\/3 in o, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 3*a**2 - 3*a**2 - 2*a.\nAnswer: -6*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1174150472 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from eevewpmelmem?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f + 14. Let n(r) = 7*r - 12 - 6*r + 9 - 1 + 3. What is c(g) + 3*n(g)?\nAnswer: -g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 18080, 0, -3 in descending order.\nAnswer: 18080, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 2*p**6\/15 - 4*p**3\/3 + 7*p. Find the second derivative of d(m) wrt m.\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Suppose k*m + b + 2 = 0, -3*m - 2*b = 2*m + 5. Suppose 0 = -5*l + 506 - 486. Is m smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2 + 36*f + 1\/12*f**3 + 3*f**2. Let h(p) = 0. What is p?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4474 times 0.961\nAnswer: -4299.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 70*b + 34. Let r be g(-17). Which is bigger: r or 7\/1128?\nAnswer: 7\/1128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -166 and 0.013.\nAnswer: -165.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -371533060 rounded to the nearest 1000000?\nAnswer: -372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 44. Let q = -22 + f. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 + 1422*f**3\/5 - 1557*f**2 + 300*f = 0?\nAnswer: -100, 0, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1015773*v**2 - 386484*v?\nAnswer: -2031546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 - y + 17. Suppose 13*t + 161 - 77 = -t. Give v(t).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*p - 0*p - 12, 0 = 3*p + t - 1. Let x be (-5)\/p*(-2)\/5. Suppose z - x*l - 151 = 0, 2*l = l + 1. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171 + -195.4. Let c = 24 + p. What is the second smallest value in c, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:54 AM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 34*x + 15. Let y be i(2). Let h(n) = 90*n - 166*n + 1 + y*n + 7*n**2. Let b be h(-2). Solve 4*o = 2*g + 4, o + 3*g = -2*o - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -11)*2\/(-4). Let h = 2 + j. Let u = 10 - h. Which is the second biggest value? (a) u (b) 0.5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -92262127.\nAnswer: -276786381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 998*i. Suppose -125*b + 122*b + 13 + 62 = 0. Calculate the remainder when j(1) is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k - 5. Let h(l) = l**3 + 14*l**2 + l + 10. Let n be h(-14). Let u be b(n). Suppose 24*a + 12 = u*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 6:36 AM?\nAnswer: 329","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-251 - -248) + (0 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -3*w - 0*u, 0 = 3*u. Suppose -h - 2 = 0, -6 = -2*f + w*f - 3*h. Let q be 1 - -3*2\/f. Solve 2*j - 4 - 4 = q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46032, -92064, -138096, -184128, -230160, -276192?\nAnswer: -322224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**3 + 116*r**2 - 2*r - 1430.\nAnswer: -3*r**2 + 232*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 87287141 to the power of 1\/2, to the nearest integer?\nAnswer: 9343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 141776 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1933*o - 1933*o + 1880*o**2)*(-2 + 5 - 1)*(5 - 8*o - 5) in the form u*o + i + y*o**2 + z*o**3 and give z.\nAnswer: -30080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/5 - -19\/15. Let j be ((-190)\/(-3135))\/(16\/(-12)). Which is the biggest value? (a) w (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 = -3*m - 5*o, -667*m - 4*o + 162 = -672*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from ccgccgggcg?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6140 - 6139.5. Which is the second smallest value? (a) 0 (b) n (c) -8 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2133 and 2263192.\nAnswer: 61106184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4208 and 0.02.\nAnswer: 84.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18646, 18647, 18648, 18649, 18650?\nAnswer: 18651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1 + 1. What are the prime factors of l\/1*(-4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/((3\/(-15))\/(-99*24\/(-4860)))?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12*(-312)\/(-864))\/((-91)\/234*(-3)\/(-14)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24911.66t in nanograms?\nAnswer: 24911660000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/168)\/(72\/(-32) + 2).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31b88 (base 14) in base 2?\nAnswer: -11101010111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j - 100 = 0. Suppose 5*k - 2*q = 465, 210 = 4*k + 3*q - 162. Let y = j + k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - (86 - 80)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -150, -201, -252, -303, -354?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1746 and 7.4372.\nAnswer: 7.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*f + 14*f + 2. Let y be (3 - -4) + (3 - f) + -4. Suppose -y*h + 2 = -4*m, -3*m + 2*m = -2*h - 1. Is -12\/23 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6760\/390*2\/6*72\/(-16)*1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -57*z**2 - 3. Let u(w) = -6692*w. Determine i(u(h)).\nAnswer: -2552623248*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-60))\/((-2)\/(-12)). Let b(i) = -3*i - 4. Calculate b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/364 and (-138)\/115*((-237)\/27 - -1).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/5)*w*w\/(w**8\/w*w)*w**(-11)\/w**(2\/3) assuming w is positive.\nAnswer: w**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 59778\/26693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-4))\/((-90)\/60)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1139*-44.\nAnswer: -50116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45384 and 2968626?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2953 greater than -17713\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/2 + 3*g**2 + 3*g. Let i(q) = 16*q + 31. Let y(f) = -2*i(f) + 11*k(f). What is y(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 5. Suppose w*m = 30 - 2. Suppose m*b - 10 = -6. What is the highest common factor of 8 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4238 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3671*c**4*t - 3*c**3*t**3 + 61756*c**2*t**3 wrt c?\nAnswer: -88104*c*t - 18*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 5. Let q be h(0). Let x be (q + -6)\/(1\/2). Let g be (-1 - 3\/x)*(-36)\/(-72). Put 0, g, -1\/10 in descending order.\nAnswer: g, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-5)\/(-75))\/(5\/((-45)\/(-2))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.95 + 1. Let k = h + -0.1. Let b = 0.35 - k. What is b rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*(4 + sqrt(847) + (sqrt(847) + (sqrt(847) + 1 + -4 - sqrt(847)))**2 + ((sqrt(847) - (sqrt(847) + 0)) + -4)**2 + (sqrt(847)*-2 + 1)**2).\nAnswer: -127950 + 2970*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 5*a - 43, -5*a + 39 = -3*i + 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 23*w + 1980. Determine o(-57).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 23*l**2 + 9*l + 56. Calculate c(-23).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 12 = -2*r, 4*m - 4 = 3*m. Let g = -15 - -21. Solve r = -x - x + g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/7 - 375\/(-21). Suppose 0 = 5*l - w - 12. What is the remainder when l is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1700)\/(-350) + (-6)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378168 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + 0.11. Let u be (-10 + 412\/42)*(-18)\/(-28). Put u, -0.4, a in decreasing order.\nAnswer: a, u, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.697 * 4.\nAnswer: -30.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48285 and 26270?\nAnswer: 6856470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -9 + 1 - (-112 - -100).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 48. Suppose -b = -z - v, 5*b - 10 = -2*z - 0. Let -3*u**2 - 2*u**b + u**2 + 4*u**4 + 4*u**3 - 4*u = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)\/g)\/(g**2*g))\/(g*g\/g**(-1\/3))**(-26\/9))**3 assuming g is positive.\nAnswer: g**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28906145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/(-2))\/(5\/10). Suppose h - l - 20 = 0. Suppose 2*p = 6*v - v + h, 3*p - 4*v = 20. Is 1\/4 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*o*w**3 - 329*o*w**2 - 5*w**3 - 25*w - 4 wrt o.\nAnswer: 8*w**3 - 329*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d\/(d*d**(-2\/13)))**40 assuming d is positive.\nAnswer: d**(-3560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -841.\nAnswer: -16.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((4 - 6) + 10 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**3\/6 - 19*h. Let c be j(5). Let s(l) = -l**3 + 4*l**2 + 7*l - 3. Determine s(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 286146, 286144, 286142, 286140?\n\"Answer: -2*z + 286148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 11:35 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5187725 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3021*f**3*t - 2*f**2*z + 2*t*z - 5451*z wrt f.\nAnswer: -9063*f**2*t - 4*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2 - 141 = -3*h, -5*h - 20 = 0. Let r be (-988 + 4)\/(-3) - 3. Suppose j = 4*c - r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(3 + (-39)\/12). Is (3093\/(f - -4))\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/19294 and -83\/84192.\nAnswer: 926112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2964 or -2868?\nAnswer: -2868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17290 - -28275. Calculate the greatest common divisor of p and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 164581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t - 17. Determine j(3).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -19, 20, 77, 158, 269, 416?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -6\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(866\/8*2). Let v = -98299 + 98300. Which is bigger: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 7*j. Let y be g(-7). Let u be y - 5\/(20\/(-16)). What is the first derivative of -3*v + v - u - 5*v**2 + 2*v wrt v?\nAnswer: -10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119340 divided by -78\nAnswer: -1530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 10 = 3*k - 8*k, 16 = k - 3*k - 4*m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*-5*(sqrt(1088) + -5)*-3 + -4))**2*-4.\nAnswer: -81203076 + 5935680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1365091700 to the nearest one million.\nAnswer: -1365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**3 + 8*u**3 - 22*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -11003740118660?\nAnswer: 11003740118659.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -12 + 2*m**3 + 32 + m**3 - 4. Let u(o) = o**2. Determine b(u(l)).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19\/(-4) + (-27)\/(-36). Let g be ((-10)\/a)\/(14\/4). Are 1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 19*k + 83. Let q be d(-13). Put 18, q, -4 in increasing order.\nAnswer: -4, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-161)\/49 + 0. Which is the closest to w? (a) 4 (b) 0 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/5 + 40997*z**3\/5 + 2668903*z**2\/5 + 5214811*z\/5 + 2586906\/5 = 0 for z.\nAnswer: -63, -1, 41062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z + 2*z**2 - 5*z**5 + 0*z**2 - 2*z**2 wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 337134, 337128, 337122, 337116, 337110?\n\"Answer: -6*b + 337140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.234, 0.4, 4, 0.08 in decreasing order.\nAnswer: 4, 0.4, 0.234, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/636 and -83\/36?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 144, 1168, 3934, 9306, 18148, 31324, 49698?\nAnswer: 74134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5622 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from aahkkaaqkkqkhkq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.333 rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-58)\/42 + (-2)\/7. Suppose -h = -2*h - 2. Let i be (1\/h)\/((-20)\/5). Sort j, i, -0.2 in descending order.\nAnswer: i, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + -1)\/(4\/(-8)). Let v be ((-12)\/n)\/(11\/(-77)). Let u(k) = -4*k**2 + 3. Let h(s) = 15*s**2 - 11. What is v*h(a) + 22*u(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 9*x**3 - 1. Let c be l(1). Suppose -32 - c = -5*y. Let f(m) = m - 8. Let q be f(y). Let h(k) = -k**3 + k + 3. Calculate h(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -84\/11 - -1117\/44. Calculate the common denominator of -61\/6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 2, o: 2}. Give prob of sequence opho.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1488 (base 9) in base 16?\nAnswer: -46d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 214500 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:28 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8419 + 48.4481. Let u = -49 + s. Let i = 0.6 + u. What is i rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/42 and -25\/312536?\nAnswer: 937608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 14 = -t - 1, 17 = -f + 5*t. Let j be (-1)\/((f - -1)\/5). What is the second derivative of j*q + 7*q - 2*q + 2*q - 12*q**5 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -0.03. Let r = p - -1.99. What is the closest to 1 in -2, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*y**2 + 10*y**3 + 31*y**2 + 8*y**3 + y**5 - 81*y + 45*y**2 wrt y?\nAnswer: 60*y**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -2 + 4*(3 + 6*(-1 + sqrt(1620)))))**2.\nAnswer: -235008*sqrt(5) + 14934544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 250752 * 2.\nAnswer: 501504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -36ca (base 14) to base 6\nAnswer: -112214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86826, -173697, -260568?\nAnswer: -347439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 0*c**2 + 1\/20*c**5 + 1\/3*c**4 + 0 + 1\/6*c**3 - 2*c. What is the units digit of x(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -98.576 + 130.15\nAnswer: 31.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**5\/5 + 88*n**4 - 1128*n**3\/5 - 61376*n**2\/5 + 122092*n\/5 + 181896\/5 = 0. What is n?\nAnswer: -11, -1, 3, 13, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -a3663 (base 13) to base 12\nAnswer: -121894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = x + 3*x, 0 = -2*x - 4*y + 12. Suppose -32 - 48 = -x*f. Calculate the remainder when f is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*y + 6*y. Suppose m = -3*v + y*v - 185, 3*v = -m - 195. Is m\/8*(-8)\/10 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**3 + g**2 + g + 1. Suppose 3 = -7*u + 10. Let c(w) = w**3 + w**2 + w + 1. Calculate u*c(f) - l(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227761 is divided by 599.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l + 5. Let c(j) = -29*j**2. Give c(r(b)).\nAnswer: -261*b**2 + 870*b - 725","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -799 - -821. Suppose -10 = -j + 76. What is the remainder when j is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8919257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r - 136*r + 216 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4 - -3.2. Let f = -9.16 - -5.816. Let u = f - m. What is u rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 176*r**3 + 2*r - 49. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056 = -243*v + 507*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/220 and 3\/94.\nAnswer: 10340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 6*t**2 - 23. Let b be s(-5). What is the derivative of 16*j + b*j + 56 + 7*j - 68*j wrt j?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039234 decades in years?\nAnswer: 0.39234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -150488, 1, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/3*172\/2408)\/(2\/66)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/7 (b) 0.3 (c) 3 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56065036 by -316.\nAnswer: 177421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 + 102 = 3*s. Suppose 2*j = -o + 28, s = -4*j + 9*j - 3*o. Let k(y) = 60*y**2 + y + 1. Let n be k(-1). What is the highest common divisor of n and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -38. Let x be 1 + 237\/6 - r\/(-6). Let g = x - 17. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1331) + -1)**2 - sqrt(1331).\nAnswer: -33*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -111*c + 113*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9) + -2 + (-56)\/(-12). Solve -c*j + 3*j - k = 1, -20 = 5*k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1508 - 73 = -9531*o + 9572*o + 82 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177 + 175. Let x = 97\/210 - 1\/30. What is the second biggest value in 2\/5, x, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 91a - -52?\nAnswer: 96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 581.24.\nAnswer: -13949.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 4320 = 279*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - -91 - 75 - (3 + -1 - 7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:07 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6795.69 grams?\nAnswer: 6795690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456887*j - 456887*j - 4*j**3 - 5576761 + 5576761.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21367 divided by 21367?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 6848170*b = 0. What is b?\nAnswer: 0, 1369634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 0, -43 in descending order.\nAnswer: 26, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 - 43120*g\/3 - 116208400\/3.\nAnswer: -4*(g + 5390)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/19 (b) -5 (c) -2 (d) 4\/141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + 0*b)*(3*b + b - 6*b) + (0*b**2 - b**2 - b**2)*(4 + 1 - 4).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1287, 1285, 1283, 1281, 1279, 1277?\n\"Answer: -2*h + 1289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1279641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 + 422. Let f = x - 170. Put 1\/7, -2\/11, 0.3, f in decreasing order.\nAnswer: 0.3, 1\/7, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 15*v**3 + 3*v**2 + 2*v + 2. Let l be p(-2). Let r = l + 1539\/14. Suppose 0 = 3*h - 0 - 3. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -3 (c) -10\/97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(68)*-1 - sqrt(68)) - sqrt(68) - sqrt(68))\/((sqrt(12)*-2)\/sqrt(3) - sqrt(4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 87*m + 205. Let i be w(41). Which is smaller: -2\/307 or i?\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*f + 21 = 193*f. What is the lowest common multiple of f and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 7. Let b(u) = -3*u - 20. Let s be (3 - 33\/(-3)) + 1. Let i = s - 32. Calculate i*c(l) - 6*b(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 27*i**2 + 5746*i + 40329. Determine q(-7).\nAnswer: 1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -729, -2, -5 in decreasing order.\nAnswer: -2, -4, -5, -6, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgzl. Give prob of picking 1 g and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 - 0) - (18 - 26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a factor of 692165240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*r = 759*r - 3107 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -16*u**3 + 2*u + 1. Let c be g(-1). Factor 2*t - 3*t**5 - c*t**4 - 21*t**2 + 8*t - 16*t - 11*t**3 - 16*t**3.\nAnswer: -3*t*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.16 - -0.16. Let h = -107 + 109. Which is the closest to h? (a) 1 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 3, -0.2, 51, -0.388?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(254\/13208)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a618 + -3?\nAnswer: -a620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 0*p**2 + 1\/4*p**4 + p + 0*p**3 + 0. Determine o, given that q(o) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4374566.3 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -15, 3*g + o - 2*o = 14. Let m(n) be the first derivative of 1\/2*n**g + 0*n - 4 + 9\/4*n**2. Determine w so that m(w) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -g - z + 7, 0 = -3*z + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1136764 (base 8) in base 7?\nAnswer: -2433020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/4)\/((-6)\/(-24)). Suppose -5*b + 2*r = -r - 70, -14 = b + l*r. Calculate the lowest common multiple of b and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/4 + 135*k**4\/4 - 1719*k**3\/4 + 6561*k**2\/4 - 3969*k\/2 = 0. What is k?\nAnswer: -147, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -7 - (2 + 1). Find the second derivative of p*r - 5*r - 5*r**5 - 4*r**5 + 5*r**5 wrt r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -272*q - 41*q + 194248739. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 10 + p - 25*p. Calculate the remainder when 175 is divided by r(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3.95. Let a = 0.35 - g. Let k = -0.4 + a. What is the nearest to -0.1 in -4, 1\/10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22976 is divided by 548?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 10*m**3 - 216*m**2 - 3*m**3 + 142*m**2.\nAnswer: -11*m**3 - 74*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 7*s - 4. Let j be t(6). Let f(w) = w**2 + 9*w + 12. Let p be f(-10). Calculate the greatest common factor of p and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbx. What is prob of sequence bbx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3 + 33*j**2*s - 2*j**2 - 9899*s + 1 wrt j?\nAnswer: -6*j**2 + 66*j*s - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -4*c, -5*c = 5*q - 0*q - 40. Suppose -q*s + 153 + 99 = 0. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 22. Let g be l(5). Solve 0 = -g*x + 40*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**2 - 9*z**2 + 3*z**2 + 2 + z = 0. What is z?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -198 (b) 0.2 (c) -768 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(7)*-1) - -3*sqrt(150))\/((sqrt(75) + sqrt(75)*5)*3).\nAnswer: 7*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 82*r - 84*r + 4. Let o = 239 + -148. Suppose 155 + o = 3*u. Calculate the lowest common multiple of r and u.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 8\/21*v**3 - 1\/42*v**4 - 16\/7*v**2 + 16 + 128\/21*v. Factor k(y).\nAnswer: -2*(y - 4)**3\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 3 + 10*o - 3 + 4*o - 43. Let c be r(-17). Let a be (1*15 + -2)\/1. Solve 0 = 5*n + c*d + 2*d - a, 2*n - 12 = -5*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -2. Let r be (-6 + h)*2\/18. Solve -1\/3*k**3 + 0*k**2 + 0 - r*k**5 + 2\/3*k**4 + 0*k = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21 + -1 - (0 + -3). Let d(q) = q**2 + 5*q + 9. Let b be d(-2). Suppose -b*v + v = -184. Calculate the greatest common divisor of v and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6) - -3)*2. Suppose -2*o - g + l = 0, 3*o - g - 8 = -1. Solve o*f = -5*q + 7*f, -q - f = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00755303131 to seven dps.\nAnswer: -0.007553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22831 - 22834. Let m be 64\/20*(-10)\/(-4). Put m, w, 3, -2 in descending order.\nAnswer: m, 3, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.8 - 6.2. Let f be 3 + (-4)\/(0 + (-6)\/(-12)). Let w = 0.1 + 0. Put w, 4, f, y in ascending order.\nAnswer: y, f, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 29*m**2 + 56*m + 42. Let u be (-18)\/7*(-4116)\/(-392). What is f(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 6. Let m be p(6). Suppose -2*d + m = -2*k, -d + 4*d - 4*k - 23 = 0. Solve 0 = t - 1 - d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 22, 104, 258, 502?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5612642 - 29.9?\nAnswer: -30.4612642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1340 and 2660795.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 6) + ((-4)\/(-6) - 4). Let c = i + 515\/69. Calculate the common denominator of -62\/5 and c.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let b(v) be the third derivative of 7*v**5\/15 - 5*v**2. What is r(b(m))?\nAnswer: 1568*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**5\/60 - p**4\/2 - 5*p**3\/6 - 2*p**2. Let q be l(-10). Let u = 27 + -16. Solve 0 = 4*d + 5*m + q, -4*d - 4*m = u + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 at least as big as -6593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166444179 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 25. Give q(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -1)*1)**2 - (-2*(0 + sqrt(13)) + (sqrt(65)*-2 - sqrt(65))\/sqrt(5)).\nAnswer: -19*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 4*i**2 - 3*i - 2. Let l be s(5). Let r = -11 + l. Let t = r - -24. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/468 and -53\/107406.\nAnswer: 214812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2590411045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 20491 - 16889 = 30926. Is f a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -6)\/(-2) - -3. Let a = 12 + -3. Solve -1 + a = -k*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-344)\/(-129))\/(2\/6). Suppose 0 = 2*s - 3*s. Suppose s*l - 4*l + 4 = 0. Calculate the highest common factor of l and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3. Let o(w) = -w**3 + w + 5. Let y(v) = -3*o(v) + 5*s(v). Factor y(z).\nAnswer: 3*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = -9. Let l be r\/(-2)*(-34)\/(-3). Suppose 0*a = -a + l. What is the highest common factor of 68 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269 - 271 = 4*v + 2*m, 0 = 4*v + 5*m + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*m + 29*m + 25*m)*(464*m**4 + 11*m**4 + 2*m**4).\nAnswer: -2862*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l**3 + 2*l**2 - 4*l + 6. Let i be y(2). Solve 15*u - u = i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 6*b + 9. Let x be u(7). Let n be (-1)\/(-5)*405\/513*19. Determine m, given that 0*m - 8\/3*m**x + 2\/3*m**4 + 7\/3*m**5 - 28\/3*m**n + 0 = 0.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15985, -31154, -45473, -58936, -71537?\n\"Answer: h**3 + 419*h**2 - 16433*h + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 966.1328 centuries?\nAnswer: 9661.328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*g - 5*y, -g - 3*y = -4*g + 12. Let f(v) = -3*v + 7. Let h be f(g). Let w = h - -7. What is the smallest value in 2\/19, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 4. Let r(i) = 4*i + 3. Let x(k) = -69*k + 5. Let a(t) = 83*t - 6. Let s(j) = -5*a(j) - 6*x(j). What is o*r(y) - 2*s(y)?\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13457 + 13456.72035. Round m to 2 dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/9 - 28*d**4\/9 + 62*d**3\/3 + 2428*d**2\/9 - 2824*d\/9 - 560 = 0. Calculate d.\nAnswer: -14, -10, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.05 (b) 3 (c) 0.655 (d) -6 (e) -5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.8 - -13.8. Is o greater than or equal to 33\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 9. Let z be 1 + 0 + (q - 9). Suppose -4*x + 224 = -z*x. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 677705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2126 in -3, -0.06, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u = -17*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m + 18. Let n(v) = -v - 5. Let k(h) = 2*h + 8. Let i(g) = -5*k(g) - 8*n(g). What is i(l(x))?\nAnswer: 4*x - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*l - 234*l**2 + 469*l**2 - 236*l**2 - 7 + 0 to o*l + v + a*l**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 7*g + 6. Let c be b(4). Let s be (15\/c)\/(1\/2). Let u = s + 0. Solve -4 = -d - u*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25f - -6e8?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*b + 149 = 3*b, w - 5*b - 139 = 0. Does 18 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110111000011001110 (base 2) in base 8?\nAnswer: 14670316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, 1 u, and 1 d when four letters picked without replacement from {e: 2, r: 9, u: 1, i: 1, d: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -9*y + x + 4, 5*y = 2*x + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -240, -241, -242, -243, -244?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1233.79 + 1217. Let t = f - 0.21. Let y = t + 16.3. Round y to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6601)\/54096*-48*1\/((-1)\/7).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/1495 - -130191\/20930. Calculate the common denominator of r and 3\/40*(146 - -18).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100231 - -3?\nAnswer: -100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32003660?\nAnswer: 2, 5, 13, 123091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -960*a + 5*a**2 - 5*a**2 + 969*a + a**2 + a**4 + 1 to the form r + j*a + m*a**4 + l*a**2 + g*a**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 23*h**2 + 15*h**2 + 15 - 1 - 7 - 8. Determine f(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, 1, 4, -5.\nAnswer: -25, -5, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49243077 to the nearest integer?\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - z + 2*z + 72, z = d - 15. Let k(w) = w**3 - 5*w**2 - 2*w - 10. What is the remainder when k(7) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + 2 + sqrt(500) + 1)**2.\nAnswer: 120*sqrt(5) + 2009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*12\/(-20) - -277. What is w rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6270 * -72.\nAnswer: -451440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5412388?\nAnswer: 2, 101, 13397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7578935 and 1495.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.184 + -0.606. Let k = -0.01 + m. What is the biggest value in 5, k, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-4))\/((799\/(-408))\/(-47)). Let t = 45 + 23. Let r = -38 + t. Calculate the greatest common divisor of r and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 8. Solve 2*w = -2*u + 2, -g*u + 0*u - 22 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0127 - 0.1\nAnswer: -0.1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 114.015. Let k = t + 2.015. What is the closest to -0.1 in k, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -90?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 4.3. Is -0.1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118 and 297478.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2700 and 5\/104868.\nAnswer: 2621700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21174 is divided by 1639?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-5)\/((-50)\/34)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60 - 53 - (3 + -4 + 4 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110898016 divided by -110898016\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39417806047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 + (-312)\/(-40) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3168952 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, 0, -0.3, -1539?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + 5 + -3*sqrt(704)))**2.\nAnswer: -1344*sqrt(11) + 25540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.7 * 0.3.\nAnswer: 28.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 - 4*s**2 - 4. Let g be (-4)\/6 + (-644)\/(-138). Let q(t) = -33*t**3 - 11*t**2 - 11. Let a(m) = g*q(m) - 11*v(m). Determine a(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5325346184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -257\/3, -1, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48800?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - -2) + (183 - 181)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*v - 28 + 3*v**3 + 30 + 2*v**2 - 5*v + 2*v**4 - v**2 in the form u + k*v**2 + x*v**4 + i*v + t*v**3 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1433 + -1000. List the prime factors of o.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**7\/70 + i**6\/40 - 3*i**5\/20 - i**4\/8 + i**3 - 7*i**2\/2 + 5. Let g(n) be the second derivative of w(n). Factor g(c).\nAnswer: 3*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w + 30*w + 7*w - 4063. What is the remainder when w is divided by 90?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.185 - -141.785. Let i = s - 159. Let g = -0.03 - i. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4096 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -b085?\nAnswer: -b087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (26 - -3)*(4 - (12 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15360, -57195, -125504, -220287?\nAnswer: -341544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 22*s**2 + 135*s - 183. Give o(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.58 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1267, -2549, -3833, -5119, -6407?\n\"Answer: -l**2 - 1279*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 - (-153 + 150)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 559.7?\nAnswer: -560.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2. Let f = 10 + -8. Let s(o) = 7*o**2 + 0*o**f - 9*o**2. Calculate s(b(c)).\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/30)\/10*5687\/(-121)?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 0, -123, 3, -12 in increasing order.\nAnswer: -123, -12, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 6. Suppose -r = -2*w + 3*r + 40, -x*r = 2*w - 68. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z. Let o(l) = 5*l + 122. Let r be o(-24). Let m(f) be the second derivative of 0 + 0*f**r + 1\/12*f**4 - 7*f + 0*f**3. Give m(a(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + 132. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + s + 3*s - 2*s. Let y(b) = -2*b. Let i(j) = 3*a(j) + y(j). What is the units digit of i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 30 - 14 - 10*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/8 - (-3)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -46*d**6\/15 + d**5\/4 - 510*d**2. What is the third derivative of t(f) wrt f?\nAnswer: -2208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2800202037.\nAnswer: 3, 113, 269, 30707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401586643 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -490 divided by -340.\nAnswer: 49\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwawwwwwwwwwwwww. What is prob of picking 1 w and 1 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70\/1971 + 8\/73. Let x(q) = q**2 - 4*q + 1. Let f be x(4). Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5975710 and 83382?\nAnswer: 17927130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -f + 4*x - 23, x = f - 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744 = 2*o + 926*s - 5382, 30 = 5*o + s + 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - -233. Let x be (3 + j\/(-84))\/((-11)\/22). Which is the third smallest value? (a) -0.04 (b) x (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/125888 and 53\/11240.\nAnswer: 629440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8372 and -75\/10808896.\nAnswer: 140515648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 - 99. Let v = z + 1539\/5. Calculate the common denominator of 53\/55 + 8\/20 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -55, 14, 32, 13 in decreasing order.\nAnswer: 32, 14, 13, 3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10393023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-25)\/25*(-2)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38677944 by -9887.\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*g - 7, g - 19 = -5*x - 2*g. Let r = -0.9 - -1.74. Let l = r + -1.14. What is the second biggest value in -10, x, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50.5 - -50. Let o = -0.02 - 1.48. Which is the third smallest value? (a) o (b) 4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q - 33*q = 37*j - 173, 5*j = -5*q + 55 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018142012698 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 11*x - 12*x. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 29 - (-3 + 1 - -2)) + (-2709 - -2715).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, z: 2, y: 2, i: 2, v: 3}. What is prob of picking 1 y and 1 u?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-3) + (-12)\/4. Let g(o) = 7*o**2 + 5*o - 6. Let l(f) = 3*f**2 + 3*f - 3. Let q(y) = w*g(y) + 5*l(y). Does 6 divide q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t + 7*t - 18 + 4 + 0*t wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30150, -60297, -90444, -120591, -150738, -180885?\nAnswer: -211032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - -2) + 5 + -10. What is the nearest to v in -2\/3, 1, -6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.1 and -725479.31?\nAnswer: 725488.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/5 + 714*i**2\/5 + 84966*i\/5 + 3370318\/5 = 0. Calculate i.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1250*y**3 + 8*y**2 + 4*y - 202. Let n(g) = -1249*g**3 + 6*g**2 + 3*g - 203. Let o(b) = 4*n(b) - 3*v(b). What is the derivative of o(d) wrt d?\nAnswer: -3738*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 - 84*z**4 - 196*z**3 + 2052*z**2 + 6912*z + 4752 = 0. Calculate z.\nAnswer: -3, -1, 6, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 312790861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4116 and 99246.\nAnswer: 9726108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 99.94092 seconds?\nAnswer: 1.665682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10346 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from wwddwwwwqddrwdqq.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*x + 22. Let f(d) = -4*d - 1. Let v be f(-1). Suppose -x*p = -p - v. Solve 0 = -g - 3 - p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065652933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/2 + 145621*z\/2 - 8366595 = 0.\nAnswer: 115, 145506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40627908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 37262020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -2.958286.\nAnswer: -2.858286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-45) + 56\/30 - 4. Let g be 4\/(((-6)\/(-4))\/3). Let y = g - 6. Put m, -3, y in decreasing order.\nAnswer: y, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-345912)\/35)\/(-4))\/((-6)\/(-15)) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 0.83, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1225944 to four dps.\nAnswer: 0.1226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 48. List the prime factors of (-4256)\/(-52) + 2\/k.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 144 = -0*g. What is the highest common divisor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -669050?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 624443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -120. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = -36*g - 49*g + 117*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1112 - -33771?\nAnswer: 32657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*f + 238*f - o = -178350, -o - 5 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b - 2*g + 191200, 0 = 4*g - 16. Suppose -b = 2*t + 2*n, 36647 = -5*t + 4*n - 82857. Round t to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -25*i**2 + 85*i + 1. What is n(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79936*z**3 + 10942*z**3 - 30430*z**3.\nAnswer: -99424*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 10:16 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.995 - -1.00389. Round v to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**9\/1008 + z**6\/120 + z**3\/6 - 5*z**2. Let u(w) be the first derivative of c(w). Find the third derivative of u(b) wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -18 - (0 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n, n + 3*n = -5*d + 10. Suppose 3*l = -3*r - 3, -d*r - 5 = -2*l + 1. Let u = 114 + -110. Put r, u, -5 in descending order.\nAnswer: u, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, -2, -1335 in decreasing order.\nAnswer: -2, -4, -41, -1335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 0.1. Let j be (((-324)\/(-90))\/(-6))\/(8\/(-5)). Which is the nearest to v? (a) -16\/7 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + v**2 - v**2 + 4*v**3 - 2*v + 2*v - 9*v**3 - 18*v**3 - 16*v**3 + (1 - 3 + 4)*(-v**3 + 1 - 1).\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -38.734573?\nAnswer: -15.4938292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 13*u - 4564 = -2*i, 2279 = i - 4*u. List the prime factors of i.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 6. Suppose -2*g = -t*g + 24. Let q(h) = -h**2 + 5*h - 3. Give q(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 4*k**2 - 5*k + 1. Let z(d) = 2*d - 2 - d**3 - 1 + 2*d. Let x be z(2). Let p be 1 - x*12\/9. Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*v + 159 + 124, -v - 1 = 0. List the prime factors of f.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s + 122*s + 2*c = 6, 4*c = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 91.4. Let k(g) = -9*g - 17. Let c(r) = 3*r + 6. Let v(s) = -11*c(s) - 4*k(s). Let i be v(2). What is the third biggest value in h, i, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m + 20 + 25 = 4*u, -5*m + m = -m - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41353, 82783, 124213?\n\"Answer: 41430*j - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 540146059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 93 = j. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 c when four letters picked without replacement from sddlcdcaccxccscsx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 + 3 + 0*k**4 - 3\/5*k**5 + 0*k**3 + 2*k. What is the derivative of u(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272435465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45918.5 and -0.1887719.\nAnswer: 45918.3112281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2338325 or 2338322?\nAnswer: 2338322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 206\/(-3)*(-7 - 8 - -9). Let l = 987 - w. List the prime factors of l.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/48*(-1 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -12459b?\nAnswer: 1245a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -5*d - 5*z, -1307*d + 1306*d - 23 = 2*z for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - r**2 + 0*r**2 + (-4*r - 2*r + 5*r)*(r + r - r))*(-2*r**3 + 2*r**3 + 2*r**3).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39215808, -78431614, -117647420, -156863226, -196079032?\n\"Answer: -39215806*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 1. Let h(l) = 19201*l - 21944. Determine 3*h(s) + 65832*j(s).\nAnswer: -8229*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c - 10*c + 23 - 20.\nAnswer: 17*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1273 - -1368. Suppose 5*g = 2*i - 25, -i + 2*g - g = -20. Calculate the remainder when z is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17*n**3 + 6*n**2 - 16*n + 8. Is g(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8116877, 8116873, 8116865, 8116853, 8116837, 8116817?\n\"Answer: -2*z**2 + 2*z + 8116877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12536134 to the power of 1\/2, to the nearest integer?\nAnswer: 3541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1013 < -7082\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**2 + 6*g**2 + g**2)*(-22*g - 2*g - 107 + 25*g) to a + d*g**3 + m*g + z*g**2 and give z.\nAnswer: -321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 - 7*c + 2. Let w be d(7). Let t(b) = -4 + b**3 + 2*b**2 + 3*b + b**2 + w*b**2. Let p be t(-4). Solve p = 2*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/100*1*(-4)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1319260, 1319248, 1319222, 1319176, 1319104, 1319000, 1318858?\nAnswer: 1318672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3 + 1 - 4 + 8*h - 7*h. Let s be k(3). Is 26*(s + 4\/1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783054714 to the power of 1\/2, to the nearest integer?\nAnswer: 42226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1354312 + -16?\nAnswer: 1354263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4744781?\nAnswer: 73, 64997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 47 = -30. Suppose -8*a + 27 = -t*a. What is the greatest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a millimeter?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190 - -1523\/8. Let s = 0.06 - 0.16. Which is the nearest to s? (a) t (b) 0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*m - 113. Suppose -5*v - 80 = -5*j, -5*v + 0*v = 5*j - m. Let a(q) = q**2 + q + 3. Let i be a(0). Calculate the highest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.05, -13.7, -499 in decreasing order.\nAnswer: -0.05, -1, -13.7, -499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h - 3 + 7*h + 11*h**2 + 0 - h. Let s be k(-1). Solve 6*p - 3*p = -s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754990 = -7040*y - 3192*y + 108830 + 193216 for y.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 9) to base 11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - h + 13 = 0, -804 = 2*d - 4*h - 862 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -29*b**3 - b**2. Suppose 14*p - 15*p - 1 = 0. Suppose 0 = -5*v - 5*u + 35 + 255, v - 3*u = 42. Calculate the remainder when v is divided by s(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z - 726. Give i(-20).\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8247 - -49345\/6. Let l be (-18264)\/880 - (2 + 1). Let x = l + 368\/11. What is the common denominator of x and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2469 - -2477) + (4 + -1 - 4) + -1 + -67\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 3*r. Suppose 5*v + r*v + 120 = 4*h, -3*v = 12. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10601.99136 + -10593. Let k = -9 + s. What is k rounded to 4 decimal places?\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-82501)\/123855 + 2\/3). Are -1794 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*g**3 - 3*g + 3*g + (g**2 - 7*g**2 - 4*g**2)*(-2*g - 3 + 3) + 6*g**3 - 2*g**3 - 2*g**3 + (2*g + g - g)*(-2*g**2 + 0*g**2 + 3*g**2) + 2*g**3 + 2 - 2.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3466.003 days in seconds?\nAnswer: 299462659.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/4)\/(520\/(-1248))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/12 + o**3 + o**2 - o. Let h(g) = 2*g + 3. Let b be -3*(-2 - (-30)\/9). Let q be h(b). Calculate v(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2*sqrt(847))*-2 - 3*1*((sqrt(847)*2 - sqrt(847)) + sqrt(847)))**2.\nAnswer: 176*sqrt(7) + 3404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51.8929171 - -51.8622. Let j = h + 4.0307046. Let k = -4 + j. What is k rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 14 = -6. Suppose -k*p = 20, -5*h - p + 25 = -0*p. Suppose -m + 8 = -3*r, 0 = -6*m + 2*m - 5*r + 15. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339, -2410, -8035, -18990, -37051, -63994, -101595, -151630?\nAnswer: -215875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/3456 and 83\/1224?\nAnswer: 58752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308719 is divided by 168.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a4 - 5?\nAnswer: 129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 4. Suppose 223*j + 3 = 220*j. Let l be n(j). Which is the third biggest value? (a) -1 (b) l (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7795500 by -2.\nAnswer: -3897750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 11*c + 48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 7*r = 13*r. Let o(i) be the third derivative of 0 + r*i + 0*i**4 + 1\/12*i**3 - 1\/120*i**5 + 6*i**2. What is t in o(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 0 + 1\/8*w**4 - 2*w**2 - 1\/6*w**3. Let b be g(2). What is the highest common factor of 55 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Let r be (d + -2)*(1 - 0). Solve 10 = 2*t + r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-24)\/(r**(-2\/49)\/r)*((r\/(r**(-3\/14)\/r))\/r*r)\/r**(-12\/11) assuming r is positive.\nAnswer: r**(-21187\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 divided by -711?\nAnswer: -451\/711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1775, 3565, 5333, 7067, 8755, 10385?\n\"Answer: -2*m**3 + m**2 + 1801*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801449101.\nAnswer: 1801449101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 2, 0, -1\/78?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*x**4 + 0*x**2 + 0 + 2*x**3 + 0*x.\nAnswer: -2*x**3*(2*x - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7397*q**2 + 10*q - 50. Let x(t) = -38327556*t**2 - 51814*t + 259070. Determine 25907*f(j) + 5*x(j).\nAnswer: -3701*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 338954827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Let d be 0*(-4)\/16*o\/(-4). Factor d - 1\/3*y**2 + 2\/3*y.\nAnswer: -y*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d. Let y(k) = 2*k. Let q(v) = -r(v) + 4*y(v). Let h(s) = 3 - 3 - s. Determine -2*h(z) - 2*q(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = -5. Let j = -3 + i. Let x be j\/4*2\/3. Is x >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -517, -1032, -1547, -2062, -2577?\nAnswer: -3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014488915 rounded to seven decimal places?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15417231 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01724 kilograms in milligrams?\nAnswer: 17240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*y**2 - 17*y + 32*y - 14*y + 59 wrt y?\nAnswer: 32*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128129.59 to the nearest 100.\nAnswer: -128100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 834 (base 16) to base 15\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*25\/(-450)*176\/55?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 2184?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 70*v - 1077. Determine j(9).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:50 PM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (528\/(-54))\/(-22 - (-2364)\/108)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u - 6*u + 4*u)*((-u + u + u**2)*(1 + 1 - 4) + 4 - 4 + 3*u**2) to b + s*u**3 + l*u**2 + o*u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -406 (base 16) to base 8\nAnswer: -2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -10569 - 2*k + 10569. Let u(b) = 24*b + 2. Let h(y) = 48*y + 5. Let t(p) = 4*h(p) - 10*u(p). Calculate r(t(n)).\nAnswer: 96*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w**3 + 2*w**2 - 3*w + 2. Let s(d) = -5*d**3 + d**2 - 4*d + 1. Let t(x) = 2*s(x) - 3*z(x). Give t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 12*g + 2. Let w(p) = -p**2 - 13*p + 1. Let z(q) = -6*m(q) + 5*w(q). Let n be z(-8). Solve -n = 5*i + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 60 - 16*w - 8*w - 2*w)*(3 - 2 - 3) as z + l*w and give z.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p + 10. Let u be c(9). Let n(b) = 4*b - 3. Let d be n(2). Put u, d, 3 in decreasing order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of 119*u**4\/24 + 265*u**3\/3 + 489*u**2. Differentiate z(x) wrt x.\nAnswer: 119","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 28 = -19*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-175) + 93\/63. Determine d so that j*d + 10\/3*d**5 - 22\/3*d**2 + 14*d**3 - 34\/3*d**4 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058511102 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -9*p. Let o(u) be the second derivative of 1\/21*u**3 + 0*u**2 + 2*u - 1\/35*u**5 + 1\/147*u**7 + 0 + p*u**6 + 0*u**4. What is r in o(r) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-28)\/(-12))\/(-7))\/((-2)\/6). What is the tens digit of ((-264)\/28)\/(t\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 37171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4718 - 71?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 90697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -114, -170, -226, -282, -338?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -a0ad (base 16) to base 12\nAnswer: -1b979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, n: 6, k: 7}. What is prob of picking 2 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**3 - 2*k**2 + 4*k + 3. Let m be a(4). Let h be 2\/3 + 3\/m. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43978*c**3*p - 34*c**3 - 2*c**2*p - 174*c**2 - 17*c*p + p - 58 wrt c.\nAnswer: -263868*p - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 926431, 926436, 926443, 926452?\nAnswer: 926463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1964 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 937 - 2812\/3. What is the nearest to s in -0.4, 5, 0.098?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1378*w - 1833*w + 54587 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30.7? (a) 3\/5 (b) 66\/59 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, t: 3, m: 4, d: 2, u: 1}. What is prob of sequence dduh?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.01. Let h = p - 2.99. Put h, 2, 2\/13 in ascending order.\nAnswer: h, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1. Let s(i) = 2*i - 3. Let l(r) = 3*f(r) - s(r). Let b(p) = -5 + 7 - 2 + 2*p. What is b(l(z))?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*(-4)\/(-6))\/(-1 + (-90)\/(-27)). What is the third smallest value in 20.73, 3, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*r + 49 + 35*r - 49 to s*r + w and give s.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14.42 - 6.35. Let b = h + -7. Round b to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 348*j - 15606. Calculate u(77).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*i - 3 = 0, 3*o - 1 = 3*i + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630504766?\nAnswer: 2, 315252383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 28 = 4*w, -88*w = -91*w - x + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3008315626 to the nearest integer?\nAnswer: 54848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 2*q. Let z be x(0). Suppose 0*n = -4*n + 4, -k - 5*n = -10. Solve -2*u + 4*t = 14, -3*u - 2*u - k*t + 40 = z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 z when three letters picked without replacement from {c: 1, l: 1, z: 1, s: 1, m: 2, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4) - -1)*-2. Let x(s) = -s**3 - 8*s**2 - 8*s - 4. Let b be x(-7). What is the lowest common multiple of 2 and b*(i - 0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2717*j**4 - 70323*j**3 + 122*j - 3638720.\nAnswer: -32604*j**2 - 421938*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, p: 4, h: 2, t: 2, a: 4, r: 2}. What is prob of sequence tvr?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56.9998 + -57.9998. Let m = -5.3 - 0.7. Which is the third smallest value? (a) f (b) m (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440 divided by -40?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1333499316 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1449, -0.04, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/5)\/(132\/165).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -1.7. What is the second smallest value in 390, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 11230?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(21\/(-6))\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1853*m**3*r**3 - 14*m**3*r**2 - 225*m**3 + 2*m**2*r**3 + 2*m**2 wrt r.\nAnswer: 11118*m**3 + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmekkzkeok. What is prob of sequence keo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.6 (c) -87 (d) 0.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181.2 + 199. Let z = j - 17.8000142. Round z to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = -g, -2*m + 11 = 3*g + 5. Let h = -5 + 8. Suppose g*s = 4*o + s + h, 4*s = 3*o - 1. Let u(r) = -6*r**3 + r**2 + r. Calculate u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/75*-10*1\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143955 is divided by 4624?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(17\/(-2) + -4). Let u = s - 105. Calculate the highest common divisor of u and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 c when three letters picked without replacement from {w: 3, c: 4, z: 1, h: 1, l: 2, j: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -57.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -3465319593 and -10283.\nAnswer: -3465329876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 + 3*s**2 - 4*s**2 - 5*s**2 + 3 - s. Let k(p) = -2*p + 9. Let b be k(6). Give v(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 6*n. Suppose w + n = 14. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6935, -13624, -19805, -25226, -29635, -32780, -34409?\n\"Answer: 42*f**3 + 2*f**2 - 6989*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -65 + 15 + 10*o - 13 + 204*o. Is a(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80419 + 124019. What is q rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25*104\/(-13000))\/(2*(-2)\/(-8))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400683648.\nAnswer: 2, 3, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207933?\nAnswer: 3, 11, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*d - 2*d - 2235, 2*t - 1471 = -3*d. List the prime factors of t.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -2*k - 3*u, -5*k = -5*u + 38 + 42. Calculate the remainder when (-2463)\/(-39) - (-2)\/k is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -14*h - 2. Let t be v(-12). Suppose 0 = 4*x - 38 + t. Let s = x + 48. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 n, and 1 h when four letters picked without replacement from hxxhhenecnhhnn?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/183 and 59\/699.\nAnswer: 42639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 365892\/25 greater than 14636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + 28. What are the prime factors of r\/4 + (-7)\/28?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 21. Let z be s(-8). What is the remainder when 151 is divided by (z + -12)*(-2 - -33)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1130828 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -234454763, -234454759, -234454755, -234454751, -234454747, -234454743?\n\"Answer: 4*t - 234454767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.706418668 to four dps.\nAnswer: 2.7064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/126)\/(-1)*1)\/((-1)\/30).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5558 - -5555. Sort 0.09, 1\/8, -4\/5, m in ascending order.\nAnswer: m, -4\/5, 0.09, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 74. Let u be (-36)\/(-15)*a\/(-15). Let z be u*(2 - (-66)\/(-8)). Solve -4*w = 4*p, 8*p - 3*p = 5*w - z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/33 (b) 0.1 (c) 1\/6 (d) -1278\/23 (e) -0.2 (f) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/30)\/(3\/(-5)). Which is the nearest to 2\/5? (a) w (b) 0 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -8)*14\/3. Let a be (u\/(-6))\/((-6)\/18). Let c = 1 - a. Calculate the highest common factor of c and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(39)*-3)\/(sqrt(192) - (sqrt(192) + sqrt(192) + (sqrt(192)*-2 - sqrt(192)) + sqrt(192))))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 6 = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0.2. Sort 3\/2, -2\/55, y, -2\/5, 0.5 in decreasing order.\nAnswer: 3\/2, 0.5, y, -2\/55, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 5*b + 31, -4*c - 23 = 3*b. Let r be (-1 - 0)*c\/1. Calculate the remainder when 35 is divided by r\/(-8) + 147\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-15))\/((-3)\/(-1 - -25)). Factor -c*j + 4\/3*j**2 + 4\/3.\nAnswer: 4*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccyyyycccccc. Give prob of sequence cyy.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/48 and -77\/33632.\nAnswer: 100896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7\/3))**(-30) assuming s is positive.\nAnswer: s**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1971 and -1968 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 2. Let l be p(0). Let y(t) = 3*t - 3*t - l*t. Let n(u) be the third derivative of u**5\/60 - 6*u**2. Calculate n(y(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 - 9*f**3 - 66*f**2 + 36*f + 216 = 0.\nAnswer: -3, -2, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.21 + 4.79. Let a(p) = -2*p**3 + 52*p**2 - 51*p + 30. Let n be a(25). What is the third smallest value in 0, x, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2261 and 9856.\nAnswer: 3183488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*d - q, 2*d - 22*q = -87*q + 68*q - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3998?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 10067 - 5104 - 4962 - 11*l.\nAnswer: -14*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29838146676955448 + 29838146386285938.80000017. Let d = g - -290669505. Let u = 4.2 + d. What is u rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 1:29 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 j when four letters picked without replacement from fflbjjllfglnnlllnl?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*r**6 - 3*r**4 + 19707*r**3 - 48694*r**2 - 3*r wrt r?\nAnswer: 1560*r**3 - 72*r + 118242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*31.3003.\nAnswer: 12.52012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*a**2 + 3*a**2 - 2*a**2.\nAnswer: -51*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 1 - 0\/((-195)\/15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -853, -1914, -3395, -5296, -7617?\nAnswer: -10358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -492, -563, -756, -1131, -1748, -2667?\nAnswer: -3948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 204*w**2 + 22*w - 60. List the prime factors of d(3).\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.14 - 0.64. Let v = k - -0.5. Sort v, -2, 2.\nAnswer: -2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k = 38*k - 22. Solve 0*o - k*o - o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -58*p**7\/105 + 2*p**5\/15 + 1499*p**3\/3 - 50*p**2 + 5. What is the derivative of i(z) wrt z?\nAnswer: -464*z**3 + 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w - 22 = 2. Which is smaller: -21\/5 or w?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1913*u + 1929*u = 7168. What is the remainder when u is divided by 118?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/(-396) + (-2032)\/2286 and -23\/51878.\nAnswer: 570658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.2. Let z(y) = y**3 + y**2 + y. Let k be z(-1). Let n be (0 + 0 + k)*0. What is the nearest to m in 4\/7, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1291 or 1292?\nAnswer: 1291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 700\/1680*4\/(-10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 - -482. What is the highest common divisor of 55 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4328 is divided by 255.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 4*y**2 + 4 - 9*y**4 - 17 - 3*y + 11 - y**2 as s + t*y**2 + x*y + k*y**4 + f*y**3 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 196. Let k(x) = 3*x**2 - 2*x + 581. Determine 2*k(u) - 7*o(u).\nAnswer: -u**2 + 3*u - 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 329560.2 rounded to the nearest one thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*4\/90)\/((195\/(-50))\/13)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 6*o - 39. Determine a(-14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -67\/2. Let b = 10 - 7. What is the second biggest value in b, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.138 and -138.7.\nAnswer: -138.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8065 is divided by 2016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -260, -383, -506, -629?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4\/k**(-1\/16))\/(k**(2\/61)*k)**(-2\/109))**22 assuming k is positive.\nAnswer: k**(4776211\/53192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 0 + 9 - 6) + 9 + 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -58. Let m = 1\/38 + 28\/19. Which is the closest to 7? (a) -1\/3 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - y + 7*y - 2*y - 3*y + (3 - 5 + 1)*(0*y - 3*y + 2*y))*(316*y - 317*y - 231 - 366) to the form d*y + b + z*y**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(465\/(-550)) - -34?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 12.57, 0, 2, 3 in decreasing order.\nAnswer: 12.57, 5, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5168*v + 21522. What is j(4)?\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, u: 10, m: 3}. What is prob of sequence wwm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 5*o**2 + 7*o + 1. Let a be t(-6). Let w(m) = 2*m + 7. What is w(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -168, -221, -310, -423, -548?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 2*r + 5*r)*(r - r + 2*r**3) + (-r - 8*r + 0*r)*(-r**3 + 5*r - 5*r)*(3 + 4 - 5).\nAnswer: 22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 29. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/12 - 2*d**3\/3 + 3*d**2\/2 - 4*d. Let p(z) be the first derivative of k(z). Give p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 161*z**2 - 28*z - 73. Is o(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 4*l**2 - 2*l. Calculate d(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:13 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22332332200 (base 4) in base 11?\nAnswer: 169736a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1245?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -792*p**2 + 53855*p + 57. Give c(68).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-126 - (-36 + -42))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + 0.259142.\nAnswer: -124.740858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -123*q**4 + 13*q**2 - 4*q - 149. Let p(g) = 61*g**4 - 6*g**2 + 2*g + 75. Let j(t) = -6*k(t) - 13*p(t). What is the second derivative of j(b) wrt b?\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(98)\/(2*sqrt(7))*-3)\/(sqrt(150)\/sqrt(3)*1))**2.\nAnswer: 2268\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12219, -12494, -12989, -13704, -14639, -15794, -17169?\n\"Answer: -110*c**2 + 55*c - 12164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + g - 14 + 2 = 0, 3*m - 5*g + 26 = 0. Let o = m - -9. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 6*b**2 + 11*b - 7. Let p(u) = -u**3 + 4*u**2 - 3*u + 15. Let x be p(4). What is the remainder when f(-8) is divided by 1\/(x - (-100)\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 + 132. Let z be 2*((-42)\/4 - 0). Let r = z + w. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.93. Let p = j - -0.33. Which is the second biggest value? (a) 5 (b) p (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-21))\/(3\/18*1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 - -225. Let w(z) be the first derivative of 1\/3*z**5 + 17\/12*z**4 + 16\/9*z**3 - 1 + 0*z + 2\/3*z**d. Factor w(h).\nAnswer: h*(h + 1)*(h + 2)*(5*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414820 and 820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106 - 373 - 10 - 33 - 139 + b to l*b + c and give c.\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 14*a**3\/3 - 3*a**2\/2 + 14*a - 36. Find the second derivative of t(p) wrt p.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n = 92. Suppose -3*x = -5*x + n. Suppose -a + 4*d + 4 = 0, -4*d - 15 = -3*a + 5. What is the remainder when x is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 273, 825, 1353, 1857, 2337, 2793, 3225?\n\"Answer: -12*s**2 + 588*s - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-3)\/3*(1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 5*t + 140, 5*d - 2*t - 128 = 0. Let j be (d\/(-14))\/(12\/(-168)). Let m(v) = v**3 - 25*v**2 + 28*v - 31. What are the prime factors of m(j)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -69) + (16 - 47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1. Let v(k) = -k + 7. Let n(t) = 3*v(t) + 21*w(t). Let u(h) = 0*h + 0*h - 3*h. Calculate n(u(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t + 21*t = 235. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 63 - 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -56. Suppose 0 = -4*a + b + 15. Calculate the highest common factor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-15)\/(-3))\/(-5)*(2 - 77). Let z = l + -63. Suppose 0*m = 3*m - z. Solve a = m*a - 5*n - 7, -a + 5*n = -9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*b = 8, -b = 2 - 0. Suppose -q*c - c = 0. Let m be (1 - c)\/((-7)\/(-21)). Solve -5*u = 3*d + 7, 2*d + m*u = -0*u - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -8*s. Let r(t) = -t**3 - t**2 + t + 1. Let p(q) = 14*q**3 + 10*q**2 - 10*q - 10. Let u = -25 - -15. Let o(m) = s*p(m) + u*r(m). Factor o(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9500000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3047027 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 90 = 0. Let s = 57 - t. What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(72) - -1*(sqrt(72)*1 + sqrt(72)) - (-2*sqrt(72)*1)**2).\nAnswer: -1440 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q - 38*q = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-4930)\/4)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7445 divided by 3510\nAnswer: 1489\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykby when four letters picked without replacement from llblllllhlkylbkklyl.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -0.5, 6, 1820?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 228c5?\nAnswer: -228c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 453 - 263. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:16 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 432 divided by -36\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121154 (base 7) in base 4?\nAnswer: 11120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1446*o**2 + 13*o. Let v be b(-2). Let r = v - 3017. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2, 3, 32, 5 in decreasing order.\nAnswer: 32, 10, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 4*q + 4 = 0, -4*q = 2*b + 42. Suppose -3*m + 60 = -7*m. Let w = m - b. Calculate the smallest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26026\/(-35)*(-15 + 10)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 16413227738\nAnswer: -16413227740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, -4, 2, -5, 6, -3 in decreasing order.\nAnswer: 6, 2, -3, -4, -5, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 399*f. Let l(u) = 56924*u. Determine x(l(v)).\nAnswer: 22712676*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -10. Let k be 8\/(-3)*w\/(-14). Let s = 5 + k. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 934\/81 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -506 (base 7) to base 9\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*u - 45334 + 15502. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 rounded to 0 decimal places?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose -3*k + 4 + 0 = 2*f, -k = 0. Suppose -20 = -7*w + f*w, 2*w = 3*u - 1. Solve 5*i + 20 = 3*y, -2*y = -u*i - m*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 14*r**2 + 152*r - 2184. Determine g(13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 896855 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 21*d - 127*d + 61*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(133)\/(sqrt(63) - (sqrt(63) + sqrt(189)\/sqrt(3))).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(2450)*5)\/((-5*sqrt(160) + sqrt(40))\/(1*sqrt(324))) + -4.\nAnswer: -210*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 24*h - 99. What is the lowest common multiple of 132 and l(-6)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 3*y - 10895, 4*y - 6*y + 10 = 0. Let l = 8615\/4 + a. Calculate the common denominator of -7\/5 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2017\/140 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 3*r**2 + r - 3. Let g(x) = 3*x**3 - 9*x**2 + 2*x - 8. Determine 3*g(c) - 8*q(c).\nAnswer: c**3 - 3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -10010111011010000001011?\nAnswer: 10010111011010000011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 4*i - 4*m, 2*m - 181 + 139 = -5*i. Factor 6\/7*v**i + 6\/7*v + 2\/7*v**3 + 2\/7.\nAnswer: 2*(v + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((sqrt(1872) - (-1*sqrt(1872) + 1)**2) + sqrt(1872) + (sqrt(1872) - -1*sqrt(1872))**2 + -2)*-1.\nAnswer: -11223 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7603 greater than -7600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4130 + 4129.9. Suppose -5*j + 6 + 6 = 2*q, -5*j + 6 = -4*q. Suppose 2*x - 7 = -f, -j*x + 2*f + 0*f = -4. What is the nearest to x in -0.4, i, -1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1796 + -1158. What is the highest common factor of m and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-3)\/(-3))*17 + -2. Let p be 198\/(-27)*(-4)\/(8\/k). What is the units digit of (-1)\/(-4)*p - 9\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 136*v - 135*v + 4*x, 5*v + 6*x = 459 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + -12. What is the third smallest value in k, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 184 + -183.997. Which is the nearest to 1\/2? (a) -2 (b) -1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 69*i - 126.\nAnswer: -3*(i + 2)*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-5)\/((-5)\/(-8)). Suppose m + 4 = 2*f. Let z(n) = -2*n + 8. Determine z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -66*q - 1578. Let z be y(-26). Solve -6*r + 114 - z = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, -3457, -9679, -18419, -29677?\nAnswer: -43453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 5:43 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 112 = 3*k - 4115, -5*k = -4*w - 7045. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87.3 and -20356.\nAnswer: -20268.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 133678.\nAnswer: -133678.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (1 + 1)) + (20 - 18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -503, -2031, -4587, -8177, -12807, -18483, -25211?\n\"Answer: -f**3 - 508*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -0.099 (b) -1 (c) -2\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-12) - 1366\/(-8). Suppose -4*t - 1 + y = -3*l, 2*t + 190 = -4*l. What is the remainder when 37 is divided by l\/4*72\/(-45)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n. Let w(g) be the second derivative of 143*g**3\/6 - 302*g. Give k(w(x)).\nAnswer: 143*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-858)\/(-26))\/((-3)\/(-7)) is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194356 - 233203 = -10670*a + 238573 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m + 30893 + 0*m - 26391 + 3*m + m - 3*m + (1 - 1 - m)*(-5 + 0 + 3) as w*m + n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwbbwwbw. What is prob of picking 3 w?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 1:16 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = 3*d + 13, -3*d - 15 = 0. Solve 4*w - 2*m + 7 = -m, f*m + 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**(-47)\/((w\/(((w\/(w\/(w\/(w\/(w*w*w**1*w)))*w))\/w)\/w))\/w**(-1\/7))*(w**3*(w*w**(-3)\/w*w)\/w)\/(w**(-6)\/w**(-8)) assuming w is positive.\nAnswer: w**(314\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c + 189228890 - 189231438 = 0 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 10*j + 14*j - 14 = 0, 3*t = 3*j - 18 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1605265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 51944020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 87, 88, 89, 90, 91, 92?\n\"Answer: r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 9:01 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 268 and 3819.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 29071, 4, -3\/11, 0.4 in decreasing order.\nAnswer: 29071, 4, 0.4, 0.3, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + o + 1. Let y be g(-1). Let l = 9 - y. Let m = -180 - -257. What is the highest common factor of m and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 10. Let m be (-21 - -6)\/(-2 - -1). Suppose -3*q = -2*h + h + m, -3*q - 51 = -3*h. Calculate the remainder when h is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 12:25 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-54)\/(-3))\/((-3)\/(-14))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*o + 11*d + 81 = 82*o, 3*d + 18 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2388 and 1039 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(3\/4)\/z)\/z)\/z**(-4))\/(z**(-1\/12))**22 assuming z is positive.\nAnswer: z**(55\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 8. Let z = -30 + b. Let s = -4 + z. Sort 3, -1\/11, s in ascending order.\nAnswer: s, -1\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -95*k*m + 3*k - 5*m + 8 wrt m?\nAnswer: -95*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, x: 1, l: 4, s: 3, d: 2}. Give prob of picking 2 n and 1 x.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/5 and -13.730592 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4373162432 and 5312.\nAnswer: 5312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -3, -5, -2 in increasing order.\nAnswer: -9, -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/18 + 8\/(-36). Suppose 2*n = 9 + i. Let j = n + -4. Solve j*u + 3*u - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5086?\nAnswer: 2, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-56)\/20)\/(((-2)\/(-2))\/(-50)). What is the greatest common factor of 105 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 9. Let o(l) = 4*l - 1. Let r(h) = -h - 1. Let z(g) = o(g) + 3*r(g). Calculate -2*b(d) - 5*z(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1512871243093 and 2.\nAnswer: 2.1512871243093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12880\/840*6\/2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 12:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 631, 975, 1337, 1723?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 22*w = -146 + 842, 4*w + 225 = -5*x + 363 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from rijirrlhiihrilhhdiir?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/858*13 - (-24)\/(-32).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 24.59543t?\nAnswer: 24595430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b3a9 (base 16) to base 11.\nAnswer: -31524a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose j = 2*n - 4*s - 8, -2*n = 3*s - 2*s + 2. Let a = 5734\/21717 - 1\/1143. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 3*z + 4 + 3, 5*z + 45 = 5*n. Suppose n*c - 31 = 45. Calculate the remainder when 70 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/24 + 2*o**3 - o**2\/2 + 6*o. Let q(s) be the first derivative of j(s). Let r be q(-12). Solve -h + r*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let k be o(1). Let p be (k - 0) + -2 - -7. Suppose 4*r - 3*h - 5 = 0, 5*r - 3*r - p = -h. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 - 2387\/6. Calculate the common denominator of (-3)\/(-15)*(-5)\/(-16) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15, -47, -99, -171, -263, -375?\n\"Answer: -10*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let x(n) = -30*n**2 - 2*n + 11. Let b(k) = 10*k**2 + k - 4. Let j(y) = 11*b(y) + 4*x(y). Give o(j(v)).\nAnswer: 10*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/135)\/(2 - (-12 + 1656\/81))\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.02 at most as big as -2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 5*t**2 - 11*t + 18. Calculate j(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.2, 5, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(-5) + 0). Let v = l - -7. What is the greatest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203b (base 13) to base 11.\nAnswer: -22885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1135 - 542. Calculate the remainder when y is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-11)\/d)\/(d*d*d\/d**5*d*d))\/(d**4\/d**(-3\/8)))**(-3\/20) assuming d is positive.\nAnswer: d**(393\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**5 + 10*a**4 + 12*a**3 - 40*a**2 + 16*a = 0. Calculate a.\nAnswer: -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*j - 3912 = -3*i + 117*j, 2*j = 5*i - 6524. Does 157 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2938287 divided by 979429\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1. Let a(y) = -7*y - 2. Let p(w) = 2*a(w) - 6*d(w). Suppose 16*m + 48*m - 142 = -7*m. Determine p(m).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.4, 45.61, 0.05?\nAnswer: 45.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17.6? (a) 0 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596 - 584. Solve 0 = -5*x, 5*x - a = 5*r - 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose -5*j = 4*x + 8, -4*x - 3*j + 7*j + 28 = d. Solve -x*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5 - 18*i**4 + 3*i**3 + 56*i**2 + 36*i.\nAnswer: -i*(i - 2)*(i + 1)**2*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 382 - 380. Suppose 4*z = -0*z + 52. Suppose z*b + a = 14*b. Solve -3 = x + b*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**8\/336 - o**7\/84 + o**6\/80 + o**5\/120 - o**4\/48 - 8*o**2. Factor u(b).\nAnswer: b*(b - 1)**3*(2*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4423428 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 1895*x**2 + 18829*x + 204. Give n(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 640670.04 microseconds to days.\nAnswer: 0.0000074151625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-5 + 198\/132 + (-21)\/2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s + 10. Let x(g) = 8*g + 9. Let z(k) = 5*o(k) - 6*x(k). Let w be ((-5)\/10)\/((-10)\/72 - (-70)\/315). Let a(u) = -1. Calculate w*a(d) + z(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3568*t + 1217*t + 7417 - 356722 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1010 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2347 * 0.1.\nAnswer: -234.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y**2 - 18*y. Let r(g) = -8*g**2 + 9*g. Suppose 0 = 21*d - 145 + 19. Calculate d*l(p) + 13*r(p).\nAnswer: -2*p**2 + 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -61?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 3*l**2 - 5\/24*l**4 + 0*l**3 + 1\/12*l**5 + 9*l + 0. Let n(u) be the first derivative of m(u). Factor n(d).\nAnswer: 5*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8745812*j - 736 = -8745844*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94187, 188343, 282499, 376655, 470811, 564967?\n\"Answer: 94156*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**4\/4 - 5*l + 6. Let s(v) be the first derivative of o(v). Let n(m) = -14*m + 8*m + 7*m. Determine s(n(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(64) - 1*sqrt(64)) + sqrt(64) + sqrt(64)))\/(-1*sqrt(4)*1))\/((-1*sqrt(1600) + sqrt(16))\/(sqrt(72)*-2)).\nAnswer: 32*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11553.5348 - -0.5?\nAnswer: 11554.0348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 7*f + 12 = 0 for f.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1504840*s**2*u**2 + 3*s*u - 8*u**2 + 16*u - 1910 wrt s?\nAnswer: -3009680*s*u**2 + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/55, 0.1, 1, 25\/14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k - 4. Suppose 5*w - 4*w = 0. Suppose w = -0*i - i - 3*p + 9, 4*i - 14 = -p. List the prime factors of q(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + -4 + 1 + sqrt(171).\nAnswer: -3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5 - -1)*(-7525)\/(-35). Let u = -151 - z. What is u rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85391, 341660, 768817, 1366862, 2135795, 3075616, 4186325?\nAnswer: 5467922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 4)*(-4 - 2 + 1)*(6*l - l - 3*l) to the form o + k*l and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11093040 is divided by 105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 4*y**2 + 2*y + 7. Suppose 11 = -5*d - 9. What are the prime factors of g(d)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -45*f**2 - 128*f**2 + 34*f**2. Let l(v) be the second derivative of v**3\/3 - 257*v - 3. Determine l(g(i)).\nAnswer: -278*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 - 11*c + 11*c - c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 76767*p - 383817. Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwy when three letters picked without replacement from ycwcyknt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1722480 (base 12) to base 13.\nAnswer: cb1903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/9 - (-3)\/3. Let w be (14\/((-910)\/39))\/(3\/2). Which is the closest to w? (a) 1 (b) p (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, 8.711, 0.3, 0.5.\nAnswer: -2, -0.4, 0.3, 0.5, 8.711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -2)*(-18)\/(-12). Suppose 2*g = -54 + 52. Let s(r) = 3*r**2 + 3*r - 4. Let a(i) = -i + 1. Calculate g*s(p) + o*a(p).\nAnswer: -3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-3)\/15*-4. Suppose -5*i = -4*h + 143, s*i + 4*h = 3*h - 106. Let u = i + 299\/11. Which is the third biggest value? (a) 4 (b) u (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -3*s**4\/16 - s**3\/4 + 3*s**2\/4 + 12. What is x in o(x) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14764, 29529, 44294, 59059, 73824, 88589?\n\"Answer: 14765*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/(-2))*4\/(-68).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.8 + 4160664652920.\nAnswer: 4160664652921.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + -7 + -9 + 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 288 - 304.74. Let u = -0.74 - s. Which is the nearest to -1? (a) -4\/3 (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62204.109 + -63143.10878. Let l = -939 - n. Round l to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1720 in 5, 1, 1\/1413?\nAnswer: 1\/1413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 701.5 times -0.6\nAnswer: -420.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19307859 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 10995789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/(-5))\/(29\/145). Suppose -20 = -4*b - 4*q, 0 = -5*q + q + d. Let g(i) = 3*i - 5. Let x(r) = 1. Let f = 2 - -3. Determine b*g(y) + f*x(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d\/(d**1*d)*d))*d*d**(-16)\/d assuming d is positive.\nAnswer: d**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.5 + -0.5. Let b = i - -2.1. Which is smaller: 2\/11 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*a + 3*a = 23, -20 = -5*a. Suppose 0 = r*x + x - 8, 5*s - 23 = x. Suppose -3*p - 4367 = -s*k + p, 2*p = -6. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 102*k + 66. Give q(-2).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-3 - -4 - 2). Let z be 24530\/(-52) + (-3)\/6. Let s = z + 472. Is s at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -498, -499, -490, -465, -418, -343?\n\"Answer: f**3 - f**2 - 5*f - 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*o + 4*o - 23*o)*(-64 + 25 + o + 18) as m*o + q + k*o**2 and give m.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - ((-6)\/(-3) + -2 + -3). Let i = 24 + 60. Calculate the highest common divisor of i and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**4 - 141*w**3 + 252*w**2 - 84*w - 48 = 0. Calculate w.\nAnswer: -2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h**3 - 17 + 17 - 3*h**3 + 3*h**3 - h**3 + (3 - 3 + h)*(2*h**2 - 5*h**2 + h**2) + h**3 + h**2 - h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 - 16*r**2 - 144*r + 144*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 13*m - 10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*p - 186 - 29 = 0, 4*m - 276 = 4*p. Let x be 207\/3 - (3 - 3). Let c = x - m. Solve y + 10 = 4*o, -c*o + 6*o - y - 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1209, 4, -56, -3 in decreasing order.\nAnswer: 4, -0.4, -3, -56, -1209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 - 223004*y**3 - 446002*y**2 - 223000*y = 0. Calculate y.\nAnswer: -111500, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-s**2 + 34*s + 38*s - s**2)*(-2*s + 2*s - s) in the form q*s**2 + z*s + h*s**3 + p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 21591*u**2 - 310*u - 41. Let s be g(29). Round s to the nearest 100000.\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2296, 75, 6 in descending order.\nAnswer: 2296, 75, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/31 - -108\/155. Put 2, -1, l in ascending order.\nAnswer: -1, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/1*2\/5. Suppose 0 = 2*p + 5*g - 35, 2 = 3*p - 5*g + 12. Suppose 8 = p*k - d, -3*d + d = -2*k + 8. Which is the closest to k? (a) h (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 7:38 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 132212088 + -2?\nAnswer: 132212086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*10.8.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48034 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 149a76 (base 15) in base 5?\nAnswer: 223311421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27273 is divided by 558?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111222 + 81660 = -5673*m for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-586 - -585)\/(2\/(-14)) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 9*w**2 - 11*w + 4. Give d(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 251 times 1.21\nAnswer: 303.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 9:15 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1044511748 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.37 + -3.74. Let v = x - 22.4. Let l = v + -1.2. Is 0.1 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2113122 + 3?\nAnswer: -2113113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, p: 1, b: 1, f: 2}. What is prob of picking 1 p, 2 v, and 1 f?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 170694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n - 22. Let u = 33 + -13. Calculate the lowest common multiple of l(5) and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - (-10 - 7698\/(-5))*-210 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 + j**2 + 3*j + 4. Let r(d) = d**2 + d + 1. Let z(o) = -5*o**2 - 30*o - 26. Let c be z(-5). Give c*b(p) + 4*r(p).\nAnswer: 2*p**3 + 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -5. Let s = -2 - n. Let v = 1 - s. Is 0.2 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = -33. Let w(c) = 300*c**3 + 7*c**2 - 13*c - 4. Let z be w(p). What is z rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12) - (-47)\/6. Suppose 0 = x*w - 10*w + 24. Let -24*a - 36*a**2 - w + 1 + 7 = 0. What is a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f - 23*f + 32 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-11 - -9) + (-8 - (5 - 16))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 33\/7*d - 3\/7*d**3 + 12\/7*d**4 - 6\/7 - 36\/7*d**2 = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4633?\nAnswer: 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (3 - (3 - 3) - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 526*i**2 - 321*i + 5. Does 5 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i - 18 = -12*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*c**2*l**2 + c**2*l + 28*c**2 + 12*c*l + 711*l**2 wrt c?\nAnswer: -150*l**2 + 2*l + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 4*u**2 - 2*u - 2. Let v be i(2). Let w = v + -2. Suppose -9 = -3*a - w. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n - 4. Let z be s(16). Suppose u + 7 = z. Solve 2*o = 3*o - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (64\/20)\/((-4)\/(-10)). Suppose -2*q = -5*n - 21, 5*q - 3*n - 32 = -j. Suppose -x - 36 = -q*x. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**4\/4 + 5*a**3\/3 + 5*a**2\/2 + 6*a - 16. Give n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/12 and 149\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-9)\/(-36))\/((-81)\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 + 1 - (-2 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 62 (b) 24 (c) 4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9482, 37951, 85400, 151829, 237238, 341627, 464996?\n\"Answer: 9490*u**2 - u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -407+-16072032301\nAnswer: -16072032708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 + -12.92. Let x = 40.38 - 58.38. Let t = x - y. Which is the biggest value? (a) -1\/8 (b) t (c) -3\/4 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11894338, -11894341, -11894342, -11894341?\nAnswer: -11894338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + (16 - (-15 - -15 - 8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u**3 + 14*u**3 + 18*u**3 - 50*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + (-76)\/(-10))\/((-161)\/(-230)). Which is the closest to -2\/9? (a) -54 (b) -5 (c) o (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -453984, -1 in ascending order.\nAnswer: -453984, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -1, -5 in descending order.\nAnswer: -1, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 84320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 389364019 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 441756274 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiti when four letters picked without replacement from ieadtdt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 14, 2, -4 in descending order.\nAnswer: 14, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -848 = -57*n - 49*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**2 - 36*r - 8. Let s(t) = 3*t**2 - 24*t - 5. Let n(b) = -5*a(b) + 8*s(b). Factor n(f).\nAnswer: 4*f*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14013 - -6008. Let v = 12084 + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427382585 and 2170?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -9\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28\/35)\/(2\/(-5)). Let v = 3.77 + -3.77. Let g = -5.1 - -0.1. Which is the nearest to x? (a) g (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -ca3?\nAnswer: -ca2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10000665 and 0.3.\nAnswer: 3000199.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 841262, 1682394, 2523526, 3364658, 4205790, 5046922?\nAnswer: 5888054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8572*s**2 - s + 4. Let b be t(7). Suppose 2*y + 5*j + b = 0, 0*y - y - 209995 = -j. Round y to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*r + 869, 3*d = 8*d + r - 857. Is 18 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.01 and 39.\nAnswer: 741.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15947 a multiple of 431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-423*c**2 - 802*c + 802*c)*(-5*c + 0*c + 3*c + 1 + c - 1 + (-2 + 2 + 2)*(-3*c + 3*c - c) + (c + 2*c - 4*c)*(0 - 3 + 1)*(-6 - 5 - 45)).\nAnswer: 48645*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3000)\/(-400) - (-11)\/(-2). Suppose 0 = -j - 5 + 6. Solve c*m = m - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 5*n**3 + 4. Let j be (-24 + 33)\/((-6)\/(-4)). Let o(p) = 5*p - p - j*p - 2*p. Calculate o(f(h)).\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2380 and 510.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 140*w - 418. Give q(-108).\nAnswer: -3874","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-145))\/(17316\/(-13949)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-45))\/(4\/10). What are the prime factors of 2 - h*(-68)\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*n - 9822010, -n + 8*u + 4911011 = 12*u. Suppose r = 2*g - 3273995, 0 = 4*g - 7*g + r + n. Round g to the nearest ten thousand.\nAnswer: 1640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 + 57*j - 15*j**3 - 57*j - 2 - 165*j**2.\nAnswer: j**3 - 165*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/38784533 or 0?\nAnswer: 4\/38784533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*o**2\/5 - 47*o\/5 + 14\/5.\nAnswer: -(o + 7)*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 4 + 4)*(3 - 9 + 3) + 2*x - x - 2*x + x + 2*x - x + (-3 + 5 + 0)*(2*x + 2*x - 2*x).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164 or 488\/3?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*q - 787583 - 146413, -4*q + g = 1868002. What is q rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 2*z**2 + z + z**2 + 1 + z**3. Let l be (-36)\/(-16) - 1\/4. Determine d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*d + 4*r - 2, 0 = 4*r + 16. Let x(l) = 2*l - 4. Calculate x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 12*w**3 - 1498 - 1511 - 1287 + 4296 + w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 222\/(-15) + 8\/10. Let c = d - -131. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77\/(-5005))\/((-4)\/(-10)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 783954486 to the power of 1\/2, to the nearest integer?\nAnswer: 27999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 196*p - 2*z - 1184, 9*z - 20*z = 4*p - 6*z - 44 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, -2, 244, -7, 0 in increasing order.\nAnswer: -23, -7, -2, -1, 0, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/28)\/(12\/21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441143453?\nAnswer: 73, 2239, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -375, -394, -431, -492?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*d - 230. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Suppose -4*s - 5*z = -0*s + 12, 0 = 3*z + 12. What is the second derivative of 3*l**a + 3*l**s - l - 3*l**2 wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -477\/178657 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 16548984\nAnswer: -5\/16548984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 978 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-3)*-2*1350\/600. Let i(n) = 8*n - 34. Calculate the remainder when 319 is divided by i(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25905227.\nAnswer: 19, 1363433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11122 (base 3) to base 4\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-9)\/(-4)))\/(2\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 + 1 - 14*u**3 - 7*u**3 wrt u.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 take away -1?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let k = 2 - 0. Let w(v) be the first derivative of 1 - 2 + 0*v**k - v**2. Calculate w(s(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -1. Let l(y) = -5*y - 26. Let b be l(-5). Let k = -4 - -3. What is the nearest to k in b, s, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 3*a. Let t be i(-2). Suppose 0*p = t*j - 3*p - 167, 5*j + p = 460. Is j\/3 - 8\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7958 divided by 12706\nAnswer: -3979\/6353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -x + 5*n, 10 = x - 3*n + 5*n. Let t(g) = 6*g**3 - 2*g**2 - 2*g + 2. Is 19 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 213, 173, 139, 117, 113, 133, 183?\n\"Answer: c**3 - 3*c**2 - 38*c + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - 4*2*sqrt(77))\/((1*sqrt(21))\/sqrt(3)) + -2.\nAnswer: -7*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(90\/10*6\/18*-3)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341999 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 3 - -20) + -192 + 189 - (1 + -4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 + 25*i + 80. Let s be u(-6). What is the third derivative of 4825*p**s + 132*p**6 - 2417*p**2 - 12 - 2409*p**2 wrt p?\nAnswer: 15840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:53 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68095, -68097, -68099, -68101, -68103, -68105?\n\"Answer: -2*j - 68093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144876, -144861, -144846?\nAnswer: -144831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 5*c**2 + 7*c. Give r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 74*r + 71*r - 16 = 0, -3*x = 2*r - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -14. Solve -5*p + 8 + r = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/40 + o**5\/20 + o**4\/24 - o**3\/3 + 17*o**2 - 2*o - 52. Let m(v) be the first derivative of l(v). Determine m(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70089 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6.45306 times 1\nAnswer: 6.45306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrsl when four letters picked without replacement from {y: 3, r: 2, l: 2, s: 1, a: 4}?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 = 50*k - 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.776685 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28627394 divided by -31321.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/12 (b) 5\/2 (c) 2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8532)\/(-70389)*1122\/4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44307 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3324 and 157722?\nAnswer: 87377988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-464))\/(1*(-7)\/8)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3*g = 20 - 16, 0 = -5*n + 8*n - 19*g - 8 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*y + 9 + 15, b + 32 = -4*y. Let u be b\/(-3)*135\/36. Solve -u + 0 = 4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**2 + 141980*h + 20341440 = 0. Calculate h.\nAnswer: -28252, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*1)\/((-1)\/25). Suppose -5*n = 3*i - 20, -114*i + 111*i + 11 = -4*n. Solve 0*q = i*q - m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3926*t = 3314*t. Let g = 0 + -0.3. What is the nearest to -1\/4 in -4\/7, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let h(w) = 4. Let g(o) = 699*o - 24. Let m(q) = -g(q) - 6*h(q). Calculate m(c(x)).\nAnswer: -1398*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 0*b**4 - 3\/25*b**5 + 1\/25*b**6 + 0*b**3 + 0 + 0*b**2 + 1\/35*b**7 - 38*b. Let k(o) = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4913837 + -2513837. What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 529 - 8*z + 525 - 1051 in the form r + i*z and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v. Let o be z(-1). Let f be -57*40\/25*(-40)\/3. Suppose -4*k + 594 + 969 = 5*t, o*k - 5*t - f = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**4 - 7*y**3 + 2*y**2 - 2. Let r(g) = -8*g**4 + 8*g**3 - 3*g**2 + 3. Let z(o) = -3*l(o) - 2*r(o). Factor z(k).\nAnswer: -5*k**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 1. Let h be l(-5). Let c be (15\/50)\/(h\/5). Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -19881?\nAnswer: 1987a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6360522 to the nearest integer?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -36403, -36693, -37177, -37855, -38727, -39793?\n\"Answer: -97*g**2 + g - 36307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + v + 12. Let x be l(-5). Let r be ((-34)\/3)\/((-3)\/x). Is r not equal to -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1761 - -2?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4481.\nAnswer: 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(8\/(-2))*6. Let w be 2\/7 + 24\/14. Suppose j + 35 = w*j. Solve -q - 7 = l*a, -2*q + j = -5*a + q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 574932.7mg to grams.\nAnswer: 574.9327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5413*l + 181896 = -451181 + 162146 for l.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 6141. Let u(g) = 286*g**2. Give n(u(r)).\nAnswer: 286*r**2 - 6141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1) - (2 + 2)\/4. Let c = -7.9 - -8. Put c, u, -32 in increasing order.\nAnswer: -32, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((58\/435)\/((-2)\/12))\/((-4)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 12760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + -35 + 31\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 1. Let r = 3\/8 - 23\/40. Which is the nearest to -3? (a) -1 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((-2046)\/11)*2\/(-1)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6715*g**2 + 33404*g**2 + 38*g - 38*g.\nAnswer: 40119*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 5*q + 5*q)*(-1 + 3 - 1)*(-5 + 2 + 5) - 1 + q**2 + 1 to the form g*q + l*q**2 + v and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggn when three letters picked without replacement from {n: 4, g: 2, h: 1, j: 12}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6914 = -3*f, -41*u + 34552 = -36*u + 3*f. List the prime factors of u.\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -2 - (9 - 12 - -12 - 9).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 11*s**2 - 20*s + 22. Let g be m(9). Factor 421*f**5 - 4*f**2 + 227*f**5 + 2*f**2 - 6*f**2 + 104*f**3 - 450*f**g.\nAnswer: 2*f**2*(4*f - 1)*(9*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 11 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -1.67\nAnswer: 11.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 3*r - 1. Let j be f(5). Let z(n) = 4*n**3 + 3*n**2 - 3*n + 1. Let b be z(2). Let d = j - b. Solve 5 = y - d*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 = -0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Suppose -5*m - 7 - 18 = 0. Let d = m - -1. Put n, 2, d in descending order.\nAnswer: n, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*q = 4*g - 616, 0 = 3*q - g + 929. Let w = 313 + q. Suppose -24 = -0*n - 2*n. Calculate the lowest common multiple of w and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 231877, -1 in decreasing order.\nAnswer: 231877, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in 0.1, 74, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2751\/168 + -16 - (-221)\/8 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 4*m + 7. Let q be i(10). Let f = 187 - q. What is f rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 3*q + 24820, -37232 = 3*j - 8*q + 3*q. Let y be 1 + j\/20 + (-2)\/(-10). What is y rounded to the nearest ten?\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + h + 161 + 893 = 34*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 10\/3 (b) -1\/2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2194844 * 3.7\nAnswer: -8120922.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 3*o + 20, -3*o - 5*h = -25. Suppose -q - 4*d + 22 = 2, o = 5*q - d - 16. Solve -5 - 12 = 5*v - q*s, 14 = v + 5*s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29860*n = 29861*n - 18 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 71*p - 74*p + 1899. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/5)\/v)\/(v**(-2\/35)*v))\/(v*v\/(v\/v**(-3)))**44 assuming v is positive.\nAnswer: v**(2991\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 5784ba?\nAnswer: -5784bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.1 - -92. Let l = -0.3 - -0.1. Do l and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((1323\/504)\/((-3)\/(-2))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92199 and 491728?\nAnswer: 1475184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3856030498 to the nearest integer?\nAnswer: 62097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*b - 18 = -2*s, -2*b = -10. Let i = s - 1. Is 4 a factor of (i\/3 - -5) + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**3 - 1. Let u = 10 - 5. Let i(b) = b + 4*b + 2*b - u*b. Give f(i(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19157*x**2 + 9576*x**2 + 9598*x**2.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -5*y**4\/4 - y**3 - 5*y**2\/2 + 4*y + 17. Let s(r) = -6*r**3 - 4*r**2 - 6*r + 5. Determine -4*s(x) + 5*z(x).\nAnswer: -x**3 + x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -j. Let g = 58 - 50. Suppose g = -2*w + 22. Solve j*q - 24 = 5*x - w, -2*q = 5*x - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6834 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b (base 12) to base 15.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 126960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17.178 and -7.\nAnswer: 10.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2. Let z(f) = 13*f**2 - f**2 + 10*f**2. Give g(z(l)).\nAnswer: 484*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/21811 and 79\/2312.\nAnswer: 2966296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -20, 1.\nAnswer: -20, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3802\/11406)\/(-2*1\/52).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653423 (base 8) to base 4.\nAnswer: 311130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - -100100001?\nAnswer: 11111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s = -48*s + 4*g - 4, -5*s = -5*g + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 8*d - 8. Let m(i) = i**2 - i + 1. Let p(r) = 3*m(r) + o(r). Let v be -3 - -8*9\/(-6). Let n = v - -20. What is p(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7716*w - 7713*w + 26 = -2*v, -3*v + w + 27 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*s**2 - 25*s**2 + 14*s**2)*(-19 - 1 - 21)*(-1 + 0 + 0) as z + x*s + r*s**2 and give r.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105763 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 4) to base 12.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122303022 - 11?\nAnswer: -122303033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 0*c = -864. Is ((-90)\/(-20))\/((-2)\/c) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -1. Let t = 6 - y. Let a = t - -4.2. What is the smallest value in a, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 40\/11, -24.1, 25, -13?\nAnswer: 40\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106214 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931) - (0 + sqrt(931))) - (-1 + sqrt(931)*-1 - sqrt(931)))**2.\nAnswer: 28*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-8)\/(-144)*3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d + 6. Let l(b) = 2*b**2 - 4*b**d + 3*b**2. Let s(w) be the first derivative of -w**2\/2 - 5. Give s(l(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(3\/76*38)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*t - 2*v - 70 + 16, -3*t - 7 - 35 = -9*v for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302023 (base 5) to base 9.\nAnswer: -14188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 5*v + 7*v)*(2 + 2 - 3)*(0 - 1 + 3) to z + j*v and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 333\/(-2775) - (-14 + 13388\/100)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 9*k = 28. Suppose 8*w - 3*w = -5*v + 25, 4*v - 4*w = 4. Let d = k - v. Solve -f + 1 = -d for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-71 - (13 - -2 - 38))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 + -108. What are the prime factors of 13871\/52 - -1*z\/(-4)?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9658, 19329, 29020, 38743, 48510, 58333, 68224?\nAnswer: 78195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -7 + 8 - (-2 - -6) - (8 + 13)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2106\/1170*1\/6)\/((-15)\/(-12))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -457, -581, -705?\nAnswer: -829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 117 - 119. What is the smallest common multiple of b\/(-2)*-3 + 11 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24522.08 milligrams to tonnes.\nAnswer: 0.00002452208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u + 0 + 0)*(-1 + 5 - 2) + 3*u + u - 2*u + (-2 + 12 + 3)*(0*u - 5*u + 3*u) as a + b*u and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2088*u - 157*u + 165*u in the form t*u + a and give t.\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -66.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/90)\/((-1)\/(-12)). Let u = 0.275 - -30.725. Which is the third biggest value? (a) u (b) -0.3 (c) 0.2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 146149*i - 146147*i + 4*u, -4*i + 2*u - 204 = -2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j - 6. What is the tens digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-25)*(-10)\/(-4). Is f < 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15434\/7 - 2208. Which is smaller: p or 3\/22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-1))\/((-3)\/(-27))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.279\nAnswer: -0.1395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 1450, 2194, 2938?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 1 y when three letters picked without replacement from {d: 1, a: 1, q: 2, p: 1, g: 4, y: 6}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*m - 17, -6*t + 19 = -2*t + m. Let s be (t\/(-25))\/(4\/(-140)). Is 59\/8 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28652, -228818, -772122, -1830134, -3574424, -6176562?\n\"Answer: -28595*t**3 + t**2 - 4*t - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/11 + 372*n\/11 + 4816\/11 = 0. What is n?\nAnswer: -172, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111\/2 - -56. Are -0.09 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 62*v**2 - 9*v + 23*v - 14*v to the form h + t*v + w*v**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232122?\nAnswer: 2, 3, 11, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1919 = -79744*c + 79643*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77912340*q**3 + 51022167*q**2 wrt q?\nAnswer: -467474040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5757034538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1046 = 101*c - 4035 - 2061. What is the remainder when 96 is divided by c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 2*h + 14, -10 = 208*x - 202*x - 2*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12387 - 23.2.\nAnswer: -12410.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 0, 52*d - 3*a + 258 = 9*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9176*l**2 + 742 - 9252*l**2 - 739.\nAnswer: -76*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -306613.8.\nAnswer: 919841.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 1 = -775*x + 776*x, 0 = -x + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12984890 rounded to the nearest 10000?\nAnswer: -12980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*r - 28520020, -60*i - 28519988 = -55*i - 3*r. What is i rounded to the nearest ten thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 35. Let t = r - -38. Solve t*v + v = -2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - d - 4*d + (-2 + 0 - 2)*(0 - 2*d + 0))*(2 + 2 - 3)*(0*d**2 + d**2 + d**2).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2155, -116, -4 in decreasing order.\nAnswer: 2155, -4, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -1.1. Let k = 1 - 1.4. Let b = j + k. What is the biggest value in b, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*j**4 - 12*j**2*v + 2*j*v - 3403*v wrt j.\nAnswer: 68*j**3 - 24*j*v + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/30*(-258)\/172*-15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*-2*(-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(7 + (-5715)\/189 + (71 - 49)).\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/264*(-374)\/68?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148798 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -42. Factor 5*p - u*p**3 + 4*p**2 - 63 - p + 27 + 32.\nAnswer: -4*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153)*-1 - sqrt(153))*5)\/(sqrt(63)\/(sqrt(112) + sqrt(7) + sqrt(7))).\nAnswer: 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 13 + 13.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2958 + 839 = -292*k + 150*k + 721 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23818 and -5.\nAnswer: -23823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 17*x**2 + 77*x - 35. Let t be i(8). Solve 217 = t*d + 237 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) - (-1*sqrt(2178)*-1 + sqrt(2178) - sqrt(2178)))\/(sqrt(36)\/(sqrt(12)\/sqrt(3)) + sqrt(36)\/(sqrt(8)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 11*w. Let b be p(11). Suppose b = -9*k + 555 + 84. Is k a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-17)\/(-272)*40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 3*q**3 - q**2 + (-12*q + 8*q + 16*q)*(0*q + 0*q - 2*q**2) + (0 + 2 + 0)*(-2*q**3 - 3*q**3 + 2*q**3).\nAnswer: -27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*1166\/11660.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 75176191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-304 - -314)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m**2 + 85*m - 28. Suppose -3*k + 2 = 17, -26 = -2*d + 4*k. What is the remainder when g(6) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(1\/(-2)). Suppose 0 = 3*v - 0*z - 4*z + w, 4*v + 3*z = 21. Suppose 4*t + n - 140 = -t, 56 = 2*t - v*n. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*v + 15, 0 = n + 2*v - 4 + 10. Is 1 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -540, -549, -570, -609, -672, -765, -894, -1065?\n\"Answer: -l**3 - 2*l - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43923 - 87844 = 176*s - 43921 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, e: 4}. Give prob of sequence eeoe.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*u - 0 + 572 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/9 + 7 - 40\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y**2 - 4*y + 4*y. Let n(j) = 2*j**2. Determine n(f(b)).\nAnswer: 242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u - 78. Let c be p(-20). Let f be (-1)\/(17\/9 - 2). Suppose -247 = -j - f*a + 4*a, 2*j = -c*a + 526. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 + 18 = 0. Let n = 22 - k. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*c - 4375 + 4456 + 39*c**2 + 5*c**3 - 2*c**3 = 0 for c.\nAnswer: -9, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4061 + 4065. Solve 22 = 5*p - a*c + c, 0 = -5*p - 4*c - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) + -14 + 17. Find f such that -5 + f - f**3 + j*f + 11 - 2*f - 2*f**2 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -101921.5523 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*t**4 - t**3 + 2767*t**2 + 232634*t wrt t.\nAnswer: 1116*t**2 - 6*t + 5534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 519. Calculate k(-6).\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77100288?\nAnswer: 2, 3, 100391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102048 is divided by 391.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11117459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -3*j**4\/8 + j**2 - 1. Let a(c) be the second derivative of g(c). Suppose l = 3*q + 14, -2*l + 7*l = -q - 10. Calculate a(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -3*c + 9, -4*j - 3 = -4*c + 3*c. Suppose -3*g + g - 4 = j. Sort -1, g, -5 in increasing order.\nAnswer: -5, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.9. Let g = -3302 + 3302. Sort r, g, 17 in decreasing order.\nAnswer: 17, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from -1242.\nAnswer: -1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1578 or -1574?\nAnswer: -1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 978\/(-4)*(-2)\/(-12). Let b = 121\/4 + i. Let c = b - -10. Put c, -2, 5 in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 281.98713 months?\nAnswer: 23.4989275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 370342346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30770455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.37 + -0.02. Let s = 0.28 - y. Let b = s - 0.23. What is the biggest value in b, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182820712, -365641426, -548462140?\nAnswer: -731282854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85 or 1939\/23?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -19*d - 49. Give i(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)*d\/d**(-1\/14) assuming d is positive.\nAnswer: d**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 69938409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*u + t + 5, 0 = 2*u + 5*t - 38. Let k be 3\/u + 464\/(-6). Let z = 156 + k. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5358*t**2 - 14*t**3 - 5358*t**2.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/13265668 and 97\/5612398.\nAnswer: 145922348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 19. Suppose -2*o - 51 + 207 = -4*a, 2*a = 3*o - 218. Suppose q = 4*k - o. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1327\/2 or -6?\nAnswer: -1327\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.1 + -55. Let q = -3 - z. Let g be ((-180)\/20 + 11)\/((25\/2)\/5). Which is the biggest value? (a) g (b) q (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 11*j**2 + 0*j + 0*j**3 + 0 - 7\/24*j**4 + 0*j**6 - 11\/210*j**7 + 0*j**5. What is the second derivative of x(l) wrt l?\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 356.3?\nAnswer: 712.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 1\/10*a**5 - 69\/2*a**2 + 230*a + 0 + 0*a**4 + 1\/2*a**3. Differentiate f(y) wrt y.\nAnswer: 6*y**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -51. Suppose -b*l + 21 = -3*l. What is the lowest common multiple of 2 and l + (-5 - -4) + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 1. Let o be c(1). Let b(a) = -2 + 3*a + o - a**2 + 6. Let x(h) = -12*h**2 - 90*h - 103. Let u be x(-6). Calculate b(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72163 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126)\/(-3))\/3*(-4)\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7322 and 5628750406.\nAnswer: 5628743084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sesssusess. What is prob of picking 2 e and 1 u?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -18a34b?\nAnswer: -18a355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 16. Suppose -o*m - 5*j = -0*j + 11, 3*m - 25 = 4*j. Let z be (-1)\/(-3)*m\/(-4). What is the biggest value in z, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:44 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*h. Suppose 5*k + h*v = v - 18, -12 = k - 3*v. Let p(n) be the second derivative of n**5\/20 + n**4\/4 - n**2 + 4*n. Calculate p(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-7)\/3) + (-75)\/135?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.027114 to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9 - -1.9. Sort b, 15, -5.\nAnswer: -5, b, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446509525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 11*s - 4524. Suppose -s = -20*w + 19*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.5. Let j = -0.9 - t. Let l = -374 + 378. Which is the biggest value? (a) -8 (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2009 and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105*(4\/75)\/(110\/1375)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.8922ml in litres?\nAnswer: 0.1108922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:10 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0727506 and -7.\nAnswer: -6.9272494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 27\/6806 (b) 2 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-1) - (45 + -36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*c**3 + 11*c**2 - 8*c**2 + 3*c - c**4 - 40*c**3 - c as v*c**3 + f*c**2 + g*c**4 + i*c + q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17692886, 17692885, 17692884, 17692883?\n\"Answer: -h + 17692887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 23 - ((-16 + 8 - -25) + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 1. Let t be q(1). Let i be 0 - (t + -84 - 0). Suppose 0 = 3*r - 4*h - i - 27, r + 5*h - 6 = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 38*x. Let j(s) = -2244*s. Let i(u) = 3*j(u) + 176*r(u). Let k(d) = -d**2. Determine k(i(h)).\nAnswer: -1936*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240)\/990*(-429)\/2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + j + 2. Calculate the smallest common multiple of y(-1) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.95 - -401.76.\nAnswer: 388.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 4*m - 36, -2*l = 2*m. Let c = -546.5 + 546.5. Let y = 4.95 + -5. Put c, -3, y, l in decreasing order.\nAnswer: c, y, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84528705067021 + 0.9.\nAnswer: -84528705067020.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*35.252379.\nAnswer: -176.261895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -7 - -11 - 11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 24. Let x be z(-14). Let i = 1 + x. What is the tens digit of 5852\/35 + i\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/6377088 and -107\/3587112.\nAnswer: 57393792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:21 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 + -8 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 14 = 9*z. Let s = -14 - z. Let l(a) = a**3 - 4*a**2 + 3*a + 3. Let o be l(2). Solve -m - 5 + o = s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 702636*u**3 + 1294892?\nAnswer: 2107908*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(8)\/(3*sqrt(4))).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) 0.1211 (c) -2 (d) -98 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*c - 82, -4*r - 5 = -c + 29. Suppose 31 = -m - c. Let o = -21 - m. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14.9, -284, 5, 0.1?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 + 4*b + 9. Let x be v(-7). Let z = -51 + x. Calculate the highest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/21*(-21)\/(-105). Which is the closest to 0? (a) 34 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:43 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.35*1179266\nAnswer: 412743.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:10 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 7*c**3 - 6*c**2 + 29*c + 68. Let t(b) = -15*b**3 + 13*b**2 - 65*b - 132. Determine 9*o(d) + 4*t(d).\nAnswer: 3*d**3 - 2*d**2 + d + 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 295204781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1551*z + 47*z + 53*z.\nAnswer: -1451*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 4:23 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2*(-5 - -10) - -5) + 6. What are the prime factors of (13 - 14)*(1\/s + -710)?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 294243495 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16147.52t in grams?\nAnswer: 16147520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -639961*h**4 - 4*h**2 + 31*h + 1971?\nAnswer: -15359064*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/1387 and -41\/146.\nAnswer: 2774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-1 - -4) - (1 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 - (4 - -9)) + 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-2)*42\/8. Suppose -3*s = 2*s + 60. Let g = d + s. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64471\/3 + -21490. Let j(h) be the first derivative of v*h**3 + 3*h - 21 + 5*h**2. Give j(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1675777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9098*a - 92 - 93 + 185.\nAnswer: 9098*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {w: 7, m: 2, r: 2, j: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f - 2*c, 5*c = -6*f - 3 + 12. Let z(b) = b. Let p(t) = -10*t - 1. Give f*p(k) - 4*z(k).\nAnswer: 6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, -1.\nAnswer: -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 19, 46, 83?\n\"Answer: 5*g**2 + 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 8}. Give prob of picking 3 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 158*s**2\/5 + 2752*s\/5 - 2912\/5.\nAnswer: 2*(s - 1)*(s + 28)*(s + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -129724, -2\/259 in increasing order.\nAnswer: -129724, -2\/259, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000394 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -22*f - 96. Let q be z(6). Let n be q\/(-57) + 14*4. What is the greatest common divisor of n and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17463 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: Simplify (0 + sqrt(2736) + 3 - (sqrt(2736)*2 + -5))**2 + -2.\nAnswer: -192*sqrt(19) + 2798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12521, -26171, -39821, -53471, -67121, -80771?\n\"Answer: -13650*b + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 0*f**2 - 1\/4*f**4 + 0*f + 6 + 3*f**3. Find the third derivative of z(l) wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 717 and 281327617?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/29)*t**(35\/2)*(t*t\/t**(-35))\/t**(-2\/9) assuming t is positive.\nAnswer: t**(28547\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - w + 2. Let l be j(-2). Let p = -23.7 + 24. Which is the nearest to -0.1? (a) l (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3505 - -3504. What is the closest to a in 1, -0.1, 11.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-522)\/29)\/((-5)\/((-10)\/(-3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12261537 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2849 + 34315\/12. Let h = 29\/244 + 21281\/3660. What is the common denominator of d and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2053*v**3 - 665 + 665.\nAnswer: 2053*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 13*p**2 - 17*p - 3. What is the tens digit of g(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(330\/120*-8).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264992 divided by -1416?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.8489 rounded to the nearest integer?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/1*(7 - 4). Let p = 30 + -12. Is p + d\/3 + -3 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 310?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1942*p + 4017*p = 1933*p + 1988 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940957981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27236174 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*k + 1518, -184*n + 3813 = 5*k - 181*n. What is the highest common factor of 340 and k?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54, 45, 30, 9?\n\"Answer: -3*p**2 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 1501424?\nAnswer: 1501404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3075*r + 150*r**2 + 152*r**2 + 153*r**2 - 454*r**2 to l + d*r + c*r**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 (base 5) in base 3?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m + 39. Let a(h) = h - 1. Let u(v) = -2*a(v) + g(v). Let p be u(9). Put 0, -5, 3, p in ascending order.\nAnswer: -5, p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12628, 27655, 42686, 57727, 72784?\n\"Answer: g**3 - 4*g**2 + 15032*g - 2401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from meeeobeeuuemme. What is prob of sequence uem?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-8)))\/f**(8\/5)*f**(2\/17)\/(f*f\/(f**(1\/3)*f)) assuming f is positive.\nAnswer: f**(1492\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 - 6*c + 3*c**4 + 0 - 34751*c**3 - 3*c**2 + 34757*c**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -66*u**3*y**2 - 11193*u**3*y + 3420558*u**3 wrt y?\nAnswer: -132*u**3*y - 11193*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-14)\/(-140)*-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 6*c - 14*c. Solve 4*j - 2*d = -c, -18 = -j + 4*d - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 38957088?\nAnswer: 194785440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6*w + 12 = 4*y, -2*w = 2*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*t + 194 = 0, 6 + 9 = 5*t. Suppose 2*b = -5*i - 64, 4*b + 28 = -5*i - s. List the prime factors of 4\/((i\/(-4))\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (2642\/442 + (-4)\/26). Is -4 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nreecrrerrnernerrnn. Give prob of picking 2 e.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 6*m**2 - 8*m - 9. Does 9 divide u(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yssz when four letters picked without replacement from znzszcyz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1737)\/386*2*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -3394, 6\/37, -3?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2192409335 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 6*a**2 - 8*a - 8. Let o(f) = f**2 - 16*f - 6. Let y be o(16). Does 22 divide d(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -156772 from -4268.\nAnswer: 152504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 74?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -329483, -329480, -329477, -329474, -329471?\n\"Answer: 3*q - 329486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 3*t - 412674 - 179696, -4*x + 3*t + 592358 = 0. Let g = x + 21909. Round g to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1605\/135 + (-7)\/(-63)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 4, 2, -4.\nAnswer: -10, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2*k - 10463*k**2 + 10475*k**2 + 0*k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 16 - 1 - 18*c - 137*c**2 - 119*c**2 + 259*c**2. Give g(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5040 and 4422705.\nAnswer: 212289840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 941 = 24139. Suppose -6*b + 3077 = -f. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-324)\/(-180) - (12535\/(-150))\/(-23)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 353, 367, 379, 389, 397?\n\"Answer: -f**2 + 17*f + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5595, 11213, 16853, 22515, 28199?\nAnswer: 33905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 399*h**3 + 486*h**3 - 782*h**3.\nAnswer: 103*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -814.9844?\nAnswer: -814.9844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 + 0*q**3 + q**2 + 2*q + 1\/12*q**4. Differentiate z(g) with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -13*w**4 + w**2 + 21*w + 4. Let u(g) = 26*g**4 - 3*g**2 - 41*g - 9. Let n(t) = -9*b(t) - 4*u(t). What is the second derivative of n(a) wrt a?\nAnswer: 156*a**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 255 - u + 295 - 458.\nAnswer: 2*u + 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/12 or 197421?\nAnswer: 197421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.268 + -15.968. Let f = 10 + s. What is f rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, n: 1, x: 1, c: 3}. Give prob of sequence rxn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33781825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 minus -22030?\nAnswer: 21716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -775 + 791. Calculate the smallest common multiple of t and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 9 - 20 + 8. Let n(r) = 2*r + 8. What is -14*m(l) - 5*n(l)?\nAnswer: 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 - 2*y - 6. Let n be c(-5). Let o = n + -1. Solve 6*q = o*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13705294?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-9)\/4. Let i be -4*1*5\/(-20). Let r = t - i. Let j(u) = -u - 2. Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4\/5 + 864*x**3\/5 + 20056*x**2\/5 - 574560*x + 8844500.\nAnswer: 4*(x - 25)**2*(x + 133)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:10 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3083296*12\nAnswer: -36999552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7887.7 times -202.3\nAnswer: -1595681.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123, 773, 3719, 9741, 19865, 35117?\nAnswer: 56523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -4, 0.06, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020231032 + 11?\nAnswer: -1020231021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (7 + -2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1 + 0 + 8*r - 27*r. Suppose 9*d = -138 + 768. What is the remainder when d is divided by o(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37236*t**5 - 88*t - 179?\nAnswer: 744720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 17. Let z be c(-10). Let o be 31 - (1 - 6\/z). Let h = 44 - o. Solve 5*k - h = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (4 + (-182205)\/40). Let q = -4543 + f. What is the common denominator of q and -51\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4571*b**3*l**2 - 44*b**3 - 2*b**2*l**2 + 2*b**2 - 16*b*l**2 + b + 1166*l wrt b?\nAnswer: -27426*l**2 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 plus 145385356720?\nAnswer: 145385356576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 1, 971, 0, -1 in increasing order.\nAnswer: -9, -4, -1, 0, 1, 971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828882.\nAnswer: 2, 3, 46049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 977199 - 1954370 + 977175.\nAnswer: 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1604 - -1606. Let y be 144\/28 - 1\/7. Which is the biggest value? (a) y (b) -1\/4 (c) -0.3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.40723 - 942.34977. Let s = u - -825.7511. Let r = 127 + s. Round r to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -2705?\nAnswer: 2703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*1*200\/(-7040). Sort 0.1, 2\/3, m in decreasing order.\nAnswer: 2\/3, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557199 and 1215.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 36 - 99. Let n be (112\/m)\/((-4)\/(-6)). Let c be ((-24)\/(-32) - (-2)\/n) + -1. Solve 2*s + c*s = -8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 0.5. Which is greater: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) 37\/2 (c) -2\/57 (d) -5 (e) -0.022 (f) -2 (g) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/4*1*4. Calculate the greatest common divisor of 176 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65 (b) 1\/5 (c) -2\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -211903 + 46?\nAnswer: -211879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-6 - -2 - 5). Let y(d) = -7*d**2 - 2. Let x(o) = -o**2. Give s*x(b) - y(b).\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -58, -93, -130, -169, -210, -253?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - 2*c**2 + (1 - 1 + c)*(1 + 15*c + 51*c - 14*c) in the form y*c + v*c**2 + j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2 + 1 - 4 + b + 4. Suppose -2*t - 5 = -3*o - 2, 0 = -4*o + 12. What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40 - 2656)*(249 + 1). Round n to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-670)\/(-18) + (-10)\/45*1. Solve 3*q - 2*i = -1, -r + 6 = -2*q - 5*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/11))\/h**(-1))\/(h**1)**47 assuming h is positive.\nAnswer: h**(-493\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 51 = 3. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 40*p + 44*p = -3*c - 98 - 167, 3*p + 290 = -19*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65500.83ml in litres?\nAnswer: 65.50083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 2*z + 4. Let o(q) be the second derivative of 5*q**4\/12 - q**3\/2 + 2*q**2 - 19*q. Let s(g) = 6*j(g) - 5*o(g). What is m in s(m) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 725 = -29*z - j, 0 = -5*j + 35. Solve 420 - z = -9*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4398196.\nAnswer: 2, 11, 19, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150016345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/130)\/((-1104)\/30360)?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 0.5 (c) 9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*l**4 + 4212\/5*l**2 + 32*l**3 - 39366\/5 + 34992\/5*l.\nAnswer: 2*(l - 1)*(l + 27)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21.7 (b) 2 (c) -0.1 (d) -0.3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y - 19. Let f be q(8). Let i = f + -22. Suppose 8*u = 129 + i. Solve -4*k + 12 = -4*v, -u = -5*k + 5*v - v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120856144 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -194*u + 65*u + 60*u + 65*u. Let q(y) = 5*y**2 + 20*y. Calculate r(q(d)).\nAnswer: -20*d**2 - 80*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 2*k + 485. Let b be f(21). Sort -4, -1, -26, b in descending order.\nAnswer: b, -1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2 + 6447*p - 343356.\nAnswer: 3*(p - 52)*(p + 2201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 p, and 2 j when four letters picked without replacement from {j: 2, d: 1, m: 1, r: 1, b: 1, p: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*x**4 + 9*x**3 + 5*x + 12*x - 15*x**4 - 27*x**2 - 22*x + 13*x**4 wrt x?\nAnswer: -528*x + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78348*z**2 - 139545 wrt z.\nAnswer: -156696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*r*w + f**4*r + 1565*f**3*w**3 + 42*f**2 - f*r - 37*r - w**3 wrt f?\nAnswer: 24*f*r*w + 24*f*r + 9390*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eccee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3346 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.28 + -0.02. Let t = a + 2.3. Let d = t - 1.8. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 10 - 2. Let n be -3 - 2*4\/u. Let f = -13822\/13 + 1064. Are n and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-462)*-21*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2737.717 milligrams to kilograms.\nAnswer: 0.002737717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-11 - (5 + -14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10740460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 954624, 3818481, 8591586, 15273945, 23865564, 34366449?\nAnswer: 46776606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 36, 70, 124, 204, 316?\nAnswer: 466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 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: Which is smaller: 0 or 120\/311?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5398695 or -5398696?\nAnswer: -5398696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z - 2. Let d(r) = 11*r - 5. Let j be (4 - -4) + (0 - 1\/1). Suppose 5*t - 5*m = -18 - j, -10 = 5*m. What is t*f(c) + 3*d(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 + 1691 = 36*c - 756 for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krs when three letters picked without replacement from rks.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11649 - -11665. Calculate the highest common factor of 1264 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 240*t + 606*t - 281*t to m*t + n and give m.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrpr when four letters picked without replacement from rprrppprrprprp.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 1. Let i(p) = -43*p - 5. Let g(w) = 4*h(w) + i(w). Calculate g(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(168)\/sqrt(4)*-6)\/sqrt(3)*-1)\/(sqrt(700)*1 - sqrt(42)\/(sqrt(18)\/sqrt(3))).\nAnswer: -5 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -367031\nAnswer: -146812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4380 - -4597. Calculate the greatest common factor of 248 and y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 3 - 2)*(357 - 2*n - 178 - 188) to the form s*n + w and give w.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:40 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.75 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*v - 25 = 0. Solve -i = i - c - 7, 16 = v*i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -259*16\/420 - -10.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 6, m: 3, l: 5}. Give prob of sequence lj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 23805*h**3 + 125925*h**2 + 35000*h + 2500 = 0. What is h?\nAnswer: -5, -10\/69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201121 + 123223?\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + z**3 - 6*z**3 + (2*z**3 + 2*z**2 - 2*z**2)*(-2 - 3 + 1) + 4*z**3 - 12*z**3 + 7*z**3 to the form q + i*z**3 + l*z + j*z**2 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2830992?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(4\/(-1048)*-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*h - 15, 0*h + 4*h + 23 = -5*n. Let q = -1.3 + 2.9. Let a = 0.4 + q. Sort a, 0.4, n in descending order.\nAnswer: a, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 17 = 5*q + 4, -3 = -4*s - q. Suppose 0*g = -s*g + 10. Solve 0 = g*d, d + 4*d - 2 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrz when three letters picked without replacement from {v: 2, z: 1, p: 1, n: 1, r: 11}.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25817*f = -2*u + 25813*f, f = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m - 3*m + 5*m + 19*m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3085 is divided by 193?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 26. Solve 3*v - b = -p - p, -p = v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - -37 - (0 - (-4)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 6:19 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5565780 divided by -4.\nAnswer: 1391445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g - 16. Give t(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16, -43, -78, -121, -172?\n\"Answer: -4*s**2 - 15*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 6*c + 6*c)*(0*c + 0*c - 3*c) - c**2 + 2*c**2 - 2*c**2 + (1 + 2 - 1)*(4*c**2 - c**2 - c**2) in the form n + r*c + m*c**2 and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yffyfffffyffffffyyf.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -27. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 83*r. Let g(a) = 3*a**2 + 5. Let y(k) = 2*k**2 + 3. Let m(w) = -6*g(w) + 10*y(w). Determine m(l(t)).\nAnswer: 2*t**4 - 332*t**3 + 13778*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6161874 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 * 68650\nAnswer: 205.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212011 (base 3) to base 5.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 = 7. Suppose 5*n = m*n + 123. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose -3*h + 632 = 4*l, h + 88 = -3*l + 302. Let w = h - 206. Solve s*v - 10 = 4*i, w*v + 3*i + 23 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -25. Calculate the highest common divisor of 171 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1142900 + -405289. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**4 - 4*g**2 - 2*g**4 - 35*g + g**2 - 7*g**3 + 5*g**2 + g**4 in the form u + f*g**2 + p*g**3 + v*g**4 + l*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - 4*d**4 + d**4)*(0 - 2 + 0) + (-2*d**2 + d**2 + 2*d**2)*(3 - 2*d**2 - 3) - 3*d**4 + 5*d**4 + d**4.\nAnswer: 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 - 42 - w - 56 - 18*w**2 - 2*w**3 + 153 as m*w + g*w**3 + s*w**2 + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((6 - (-2 - -3)) + 1 - -18).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:47 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -198, -848, -1500, -2154, -2810, -3468?\n\"Answer: -d**2 - 647*d + 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -648 + 678. Calculate the greatest common factor of 255 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*x)*(0 + 1 - 4)*(-13*x**4 + 16*x**4 + 16*x**4).\nAnswer: -114*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 + 749*z**2 + 7255*z - 796. Give h(259).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjujuvuuuuuujj. Give prob of picking 2 j.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*a + a + 61*a**3 - 36*a - 2*a**2 - 18*a wrt a.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7881 + -7881.3. Let l = 2.9 - -1.1. Let d = l - 4.2. What is the nearest to 0.3 in d, h, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 4. Let o(s) = 9*s - 7. Let j(v) = -7*b(v) - 4*o(v). Let n(p) = 3 + 3*p**2 + 3 - 6. Give j(n(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 56, 41, 16, -19, -64?\n\"Answer: -5*x**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 150, 131, 94, 33, -58, -185?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 38, -2\/3, 0.303?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*n = -0*n + 2, 5*z - 4*n = -29. Let p = z + 14. What is the third derivative of 2*x**p + 6*x**2 + x**2 - x**5 - 5*x**2 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -442?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(171)*-2 + 0 + -2 + (sqrt(171) - (-1 + (-3 + sqrt(171) - sqrt(171)))))*6)**2.\nAnswer: -216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2 + 22176*u - 333090 = 0.\nAnswer: -11103, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 3*p**3 - 6813*p**2 - 1572384*p + 3171996 = 0.\nAnswer: -213, 2, 2482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544241993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*v - 177*v = 0. Let x = -5.7 - -0.7. Let g = 4.98 + x. Do v and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 5*y**8\/336 + y**7\/14 - y**6\/8 - 11*y**5\/12 - 5*y**4\/4 - 17*y**2. Factor s(g).\nAnswer: 5*g*(g - 2)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -b - 41. Let j be (-1446)\/(-1450) - (-4 + b + 7). Is 0 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 47*c + 5. What is f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkk when three letters picked without replacement from zktrqltzk.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 197 + 163 = 0. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1024105035 and 570?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 10*o - 3*o + 9 + 1373*o**4 + o**2 - 1374*o**4 in the form y*o**4 + p*o**2 + z*o + q*o**3 + j and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 6. Let c be i(3). Let g = c + 5. Let q be -1*((-21)\/12 + g). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7484.\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5*a = 15, 5*n + 0*a = -5*a - 25. Let w be (n + 0)*(-88 - 5). Calculate the highest common factor of 62 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 6) in base 8?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 145. Let j(l) = 24. Let n(c) = -13*j(c) + 2*r(c). What is n(-6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -43, -68, -95, -124?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*g**2\/5 - 6646*g\/5 + 1476\/5.\nAnswer: 2*(g - 369)*(9*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24714 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/5, 0.3, 0.5, 18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 24427?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1656\/782)\/((-189)\/(-306)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/16*43\/(-129))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45, 48, 55, 66, 81, 100?\n\"Answer: 2*y**2 - 3*y + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*30\/18)\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 92*i**2 + 24*i + 93. Is y(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1666 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8664582 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282728531.\nAnswer: 19, 59, 179, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3, -5\/4, 0.197, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3578515392 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 6552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 501 - 229 = 0 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-two fifths of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 8 = 0. Factor u*l**2 - 5*l**3 - 3 + 4*l**4 + 1 + 2 - l**5.\nAnswer: -l**2*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2479663.86 - 423.34\nAnswer: -2480087.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(48\/(-20) + 2). Differentiate 25*x**v - 18*x**4 - 12*x**4 - 3 with respect to x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.081 + -73.081. Let y = -72.5 - x. Which is the biggest value? (a) 0.3 (b) 0.02 (c) y (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -457175 (base 13) to base 16\nAnswer: -191465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -17*t**6\/3 - t**4\/3 - 557*t**3\/3 + 1351*t. What is the second derivative of p(s) wrt s?\nAnswer: -2040*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 4*t + 77 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.22858 and 0.6359.\nAnswer: -0.145354022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/6 - (-50)\/4. Suppose -3*q + h = -2. Suppose 29 = 4*f - j, q*f - 6 = -j + 37. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-7)\/6) - (0 + (-19)\/35). Factor 1\/5*h**2 + 8\/5*h + d.\nAnswer: (h + 1)*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7655.135um?\nAnswer: 0.000007655135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1467092584, 1467092583, 1467092582, 1467092581, 1467092580, 1467092579?\n\"Answer: -q + 1467092585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2099\/92 + -128\/23. Let g = -142\/97 + -7213\/970. Find the common denominator of r and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w. Let g(r) = -5*r**2 - r. Let n(b) = -g(b) - j(b). Let i(u) = u + 0*u - 4*u. Give n(i(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, y: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b + 54. Let c be f(13). Suppose c*a = -22 + 18. Sort 2, 4, a, -40 in descending order.\nAnswer: 4, 2, a, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59559499 is divided by 637.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*l + 826815 = 0, 4*k + 1507276 = l - 1799921. What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:24 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e + 16853?\nAnswer: 168d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -448aa (base 15) to base 8\nAnswer: -651550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695367 is divided by 1695366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*x**3 - 962145*x**2 - 10779105*x - 2117335 = 0. What is x?\nAnswer: -11, -1\/5, 38497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 6. Let j be u(-7). Suppose -5 + j = 2*t. Let y be 3\/(-9) + 2\/12. What is the second biggest value in y, -2\/21, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose -l + 340000 = -i*l. Round l to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 13, 3, -1 in ascending order.\nAnswer: -3, -1, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47928550*u**3 - 150*u**2 - 545*u + 188 wrt u?\nAnswer: -287571300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 21, 7 in descending order.\nAnswer: 24, 21, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0444 - -0.5444. Which is the biggest value? (a) -3\/5 (b) 51 (c) 6\/11 (d) -3\/7 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-1\/5)*j**10)**11\/((j**(1\/2)\/j**(2\/3))\/(j*j*j\/(j*j**(-1\/2)*j*j)*j\/(j**(-7)*j))) assuming j is positive.\nAnswer: j**(1963\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -301323 (base 6) in base 5?\nAnswer: -1224132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1896 and 8107928.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*s - 262*s + 4037 = 16957 + 11832 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24c406 - -12?\nAnswer: -24c3d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*j - 1 - 4 = 0, 0 = d - 2*j - 6. Suppose 18 = 3*g + d*w, -w - 1 = -2*g - 0*w. Suppose 0 = h - 3*k - 5, 1 - 10 = 3*h - k. Sort g, h, 4.\nAnswer: h, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-168)*7)\/((-10)\/(-16)*-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/147)\/(20 + 1269\/(-63)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7334, 5417, 2222, -2251, -8002?\n\"Answer: -639*b**2 + 7973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + q - 80 + 135 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**8\/33600 - g**7\/12600 + 7*g**4\/8 - 18*g**2. Let o(p) be the second derivative of h(p). Factor o(b).\nAnswer: b**2*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*a + 975*a + 1115*a**3.\nAnswer: 1115*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdjj. What is prob of picking 1 d and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z**2 - 2*z - 2. Let w be o(-1). What is the second derivative of w*f - 6*f - 49*f**3 - 1 + 2*f**4 + 10*f**3 - 18*f wrt f?\nAnswer: 24*f**2 - 234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11077 by -53.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (14 + -25 + -5)) + -92 + 11?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41326 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 f when three letters picked without replacement from {e: 16, f: 4}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 17. Let x be k(17). Let f(i) = x*i + 7*i**2 - i**3 + 12 - 3*i + 5*i. List the prime factors of f(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2936905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*c*z**2 - 3*c*z + 10*c - 75*z**3 - 575 wrt z?\nAnswer: -476*c - 450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 35*k**3 + 8*k + 8. Let u(v) = 106*v**3 + 24*v + 23. Let a(c) = -17*h(c) + 6*u(c). Find the second derivative of a(x) wrt x.\nAnswer: 246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63311, -131616, -199921?\nAnswer: -268226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 3, e: 5}. What is prob of sequence ee?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 149008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-46) - 3\/6*(-136)\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -32 - 1 - (-7927 + 7908)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o - 4*w = -11, 3*w - 11 = -5*o. Suppose -2*d - 13 - o = 0. Let f = d - -5. Sort -3, f, 2 in descending order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((21\/70)\/(6\/8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4764 - 7310 = -67*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -177 - (-1 + -1 - 0). Let g = k - -462. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6402 + 1256 = 142788*n - 142705*n for n.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r + 92. Let w be n(20). Suppose w*t - 5668 = 128*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(sqrt(432) + -1))**2 - (sqrt(3) - (sqrt(432))**2 - (2 + (sqrt(3) - sqrt(6)\/sqrt(2)))).\nAnswer: -1297*sqrt(3) + 16067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = -8*c + 95 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -29, -282, 0 in ascending order.\nAnswer: -282, -29, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -12*s - 1. Let d(b) = 320*b + 55. Let p(n) = -d(n) - 30*q(n). Let t(g) = -4*g - g + 1 + 2. Give -3*p(o) - 25*t(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 3*x**2 - x - 1. Let l be r(-3). Let b = -40 - -50. Solve -l*p - m + 8 - 1 = 0, 4*p - 2*m = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*q**23))\/q**5 assuming q is positive.\nAnswer: q**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5\/3, -0.2, -1.3 in decreasing order.\nAnswer: 5\/3, 1, -0.2, -1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30485 and 74823255.\nAnswer: 523762785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9\/2, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaapdaddadiavsasp. What is prob of picking 1 i and 2 a?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -63?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11553, -46177, -103895, -184707?\nAnswer: -288613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -21*r**2 - 1444*r - 8818. Calculate m(-62).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6484384 or 6484359?\nAnswer: 6484384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162 + -162. Let m be (4\/3 - 1) + 0 + n. What is the closest to -3 in m, 4, -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 28*x - 54. Give b(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence my when two letters picked without replacement from {f: 2, m: 1, y: 7}?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z - 1. Let x be l(1). Let d(a) = -1 - 3 + a**2 - x*a + 4*a + 1. Let r be d(3). Solve -4 = 4*k - r*p - 3*p, 3*k + 24 = -3*p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -8429, -2\/115, 0.9, -1\/7, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 891024380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*t = 486*t - 5*m - 37, -t - m + 7 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/12*(((-11288)\/(-340))\/(-83))\/((-464)\/(-60))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 294275.\nAnswer: -9\/294275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 8. Let t(k) = -k**3 + 5*k**2 - 3*k - 4. Let x be t(a). Let i = -0.35 + 0.15. What is the second smallest value in i, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-18)\/108)\/((-588)\/3555). Is 0 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + k**2 + k + 2. Let n be r(2). Let t be 2 + n - (-3 + 4). Let c be t\/12 - (-2)\/(-8). Sort c, 5, -3\/2.\nAnswer: -3\/2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Solve -5 = j*k - 9*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82 - 29) + 75 + (13 - (2 - 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -131?\nAnswer: 3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 20. Is 4 a factor of q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*k**5 + 357*k**4 - 1686*k**3 + 2661*k**2 - 1782*k + 432 = 0. What is k?\nAnswer: -24, 2\/3, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -2cd?\nAnswer: 2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/50162 and 1\/8?\nAnswer: 200648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103.7 - 20.7. Let v = -970874257 + 970874174.0000078. Let l = k + v. What is l rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210322013020223 - -3?\nAnswer: -210322013020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-16)\/(-5))\/4*5. Find the second derivative of -h + h + h**x - 2*h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3005691464.\nAnswer: 2, 8863, 42391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 - 4*z - 31 + 64 to the form c*z + j and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p**3 + 342*p**3 - 2034*p**3.\nAnswer: -1676*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(1 + 51\/(-12)). Let s = -8 + c. What is the highest common factor of 144 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -547879 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 - -15)\/(2*1). Solve s - 3*s + 2 = q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/6060 and 85\/624.\nAnswer: 315120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(1\/18). What is the common denominator of 45\/7 and (-3)\/(-2)*(-82)\/j?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 1\/2 (c) 0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-9)\/15)*(-1608)\/(-335).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2329 - -3884. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/(-21))\/(39\/(-91)). Let n(f) = -4*f**2 + 5*f - 15. Let p(v) = 2*v**2 - 3*v + 8. Calculate w*n(j) + 5*p(j).\nAnswer: -2*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**8\/6720 - v**7\/840 + v**5\/12 - 4*v**2. Let g(b) be the third derivative of w(b). Factor g(q).\nAnswer: -3*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, y: 7}. What is prob of sequence yyyy?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15709745*n**3 - n**2 + 3756*n + 1032 wrt n.\nAnswer: -94258470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 9) to base 8.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c0 + f?\nAnswer: 6cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/5? (a) 252.8 (b) 0.5 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:54 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*u + 18. Let f(v) be the first derivative of -v**2\/2 + 11*v - 7. Does 5 divide f(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1837554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98172245.\nAnswer: 5, 41, 97, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - q = 12, -2*d = 140*q - 145*q + 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2. Let b(x) = -14*x + 17. Let t(j) be the first derivative of 7 + 5\/2*j**2 - 6*j. Let s(d) = -6*b(d) - 17*t(d). Give s(f(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*n**5\/2 - 1553*n**4\/8 - 1193*n**3\/8 + 1729*n**2\/8 + 1285*n\/8 - 22 = 0 for n.\nAnswer: -16, -1, 11\/92, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2379608 and 31827257?\nAnswer: 254618056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.8*-0.4.\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162.532 times -226?\nAnswer: -262732.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -2*q**2 + 1\/10*q**5 + 0 - 2\/3*q**3 - 1\/30*q**6 - 5*q + 1\/4*q**4. Let x(g) = 0. What is g?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away -1333.6394666?\nAnswer: 1333.6794666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 12:59 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.3, 4, 3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 34.148 and 5911.\nAnswer: 5945.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Let y(c) = -10*c + 20. Let r(a) = 20*i(a) - y(a). Let p(t) = -19*t. Calculate p(r(k)).\nAnswer: -190*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181 by -482.\nAnswer: -181\/482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 124 = -2*g, 2*x = -2*g - 0*x + 138. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31503 (base 15) in base 3?\nAnswer: -21221111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*m - 36, -o + 2*m = 6*m + 12. Suppose o*r + 2 = 6. Let t(g) = -1 - 4*g + g**3 + r + 3*g**2. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**3 - 7*z**3 - 20*z**3)*(0*z + z + 280 + 228 + (0 - 2*z + 0)*(4 - 5 + 0)).\nAnswer: -117*z**4 - 19812*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (63\/(-35) - -2)*0. Solve -21*x + 14*x + 7 = r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-147)\/12*4*2)\/(-2). Let r = 33 + g. Suppose -5*h = 5, h - 57 = -4*z + r. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16087905*f**4 - 14816465*f wrt f.\nAnswer: -193054860*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - -134*2\/4. Let t = 379\/6 - w. What is the nearest to -1 in 0, -2\/11, t?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 27 = 2*y, -3*y + 35 = 4*j - 18. Suppose -5*h - j = -3*d, -3*d + 4*d + 4*h + 19 = 0. Suppose -3*m + 5 = q + 10, 4*m + 4 = 0. Sort d, -1, q.\nAnswer: d, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/462240 and 103\/154080?\nAnswer: 462240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -33?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13*s**2 + 1. Let q be n(1). Let t = 14 + q. Let k(z) = t*z - 5*z + 0 + 2 - 3. Calculate k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -491, -982, -1473, -1964, -2455, -2946?\n\"Answer: -491*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-1 - (-4 - (-7 - -2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/4)\/((-5)\/10). Suppose 3*r + a = 3*q + 26, 0 = -4*r + 5*q + 16. Suppose 63 = 3*z - r. 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: Let u be 8\/(-6)*(-111)\/(-50). Let n be ((-1)\/(-100))\/((-1)\/(-2854)). Let y = u - n. What is the common denominator of -61\/20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3\/5 + 64574*t**2\/5 + 208438405*t - 8341669448\/5 = 0. Calculate t.\nAnswer: -32291, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.045*15611099.\nAnswer: 702499.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - sqrt(637)*1)**2 + (sqrt(143)\/(sqrt(44)\/sqrt(4)))**2 - (sqrt(1872)*2)**2*2) + -5 + 5.\nAnswer: -14963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621 = 91*p + 2168 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 40, 8, -2389, 6 in ascending order.\nAnswer: -2389, -1, 6, 8, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w + 2*w - 6*w)*(-2225 + 2225 - 277*w) - w - 2*w + 5*w + 4*w**2 as j*w + g*w**2 + i and give g.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000294655 to six decimal places.\nAnswer: 0.000295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 14059?\nAnswer: -7029.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + sqrt(84)\/(-1*sqrt(6)) - (sqrt(896) + sqrt(896)*-1 + sqrt(896) - sqrt(14)))\/(((sqrt(324)\/sqrt(6))\/sqrt(3))\/sqrt(9)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.418 + -40.2. Let h = -3.9 - g. What is h rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -8\/9*r**3 + 1\/9*r**4 + 2*r**2 + 0*r + 33. Solve o(v) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 33*l + 628*l + 11*l + 681*l.\nAnswer: 1364*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-175309)\/(-4))\/(15 + (-1003)\/68) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7827 or -7826?\nAnswer: -7827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2734 and 16402429301.\nAnswer: 16402429302.2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -6, 51*h - 50*h = -3*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 5*v**2 - 3*v + 8. Give u(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 3.103?\nAnswer: 2.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3459*s = -4139*s - 12240 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let u be (2\/(-3))\/((-3)\/27). Suppose u*v - 8 = 4*v. Suppose -2*d + x = -v, -5*d + 2*x + 9 = -x. Calculate l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.2 + -4. Let z = 3 - l. Let b = z + 0.19. What is the biggest value in b, -0.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 10270?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**5 - 4*q**4 + 8*q**3 - 9*q**2 - 52*q - 12. Let v(l) = 4*l**5 + l**4 + 3. Let p(h) = f(h) + 4*v(h). What is the third derivative of p(t) wrt t?\nAnswer: 480*t**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -220 + 365. Let p = l - 145.000000598. What is p rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -67, -2, 113, 79, 2 in descending order.\nAnswer: 113, 79, 4, 2, -2, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -200b5e (base 15) in base 11?\nAnswer: -949a93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 5 + 5 + 1.\nAnswer: -6*k**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/5 - (-3 - -5). Sort 4, j, -3 in descending order.\nAnswer: 4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l. What is the first derivative of 1 + l + 2 + 2 - 5*w**3 wrt w?\nAnswer: -15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/6712 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-55))\/(6\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 2*b - 12. Let i(m) = -m - 1. Determine -f(g) + 2*i(g).\nAnswer: g**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -42\/13, 0.25, -2\/2459 in increasing order.\nAnswer: -42\/13, -2\/2459, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12231310110 (base 4) in base 16?\nAnswer: 1add14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 14) to base 9\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*u - 3*u + 10, n - 5*u - 7 = 0. What is the third derivative of -10*z**n + 461 + 462 - 921 + 77*z**3 wrt z?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -173, -247, -287, -281, -217, -83?\n\"Answer: 2*i**3 - i**2 - 107*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**4 + 70764*x**3 + 413807391*x**2 - 41208736998*x + 158209500072 = 0 for x.\nAnswer: -11843, 4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuqvvvxvvxxvdx. Give prob of picking 2 u and 1 d.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1104, -19, -1\/4, -1 in descending order.\nAnswer: 1104, -1\/4, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*z**3 - 20*z**3 - 4*z**3 + (1 - 3 + 0)*(z**3 - 2*z**3 + 2*z**3) + 2*z**3 - 7*z**3 + z**3 to the form c*z**2 + g + r*z + y*z**3 and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/a**(-1))\/a)*((a\/a**(2\/9))\/a)\/a*a\/a**(-2\/11)*a**(-8))**28 assuming a is positive.\nAnswer: a**(-25060\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -ab73?\nAnswer: -ab73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68384230*j**3*p*w**2 - 3*j**2*p*w**2 - 22*j**2*p + 392498*w**2 wrt j.\nAnswer: -410305380*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eebe when four letters picked without replacement from eebeebbeeb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3158036 times -3\nAnswer: -9474108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259\/11740 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97207977*a**5 + 11848265*a**2?\nAnswer: -5832478620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 3, -1 in decreasing order.\nAnswer: 3, 2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**2 + 4*y - 6. What are the prime factors of k(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0) + 231\/275. Let v = 56\/275 - z. Let -4\/11 - 2\/11*i + 2\/11*i**3 + v*i**2 = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.5 - 1.4. Let g = -518\/5 + 103. Let q = 0.13 - 5.13. What is the nearest to b in g, 3, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -6)*-6 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1908*z + 164092. Determine y(86).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31625, -126534, -284715, -506168, -790893, -1138890?\n\"Answer: -31636*r**2 - r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**3 + 5*g**2 - g. Let w(t) = t**3 - 13*t**2 - 7*t + 7. Let r(y) = -2*y**2 - y + 1. Let j(m) = 7*r(m) - w(m). Determine 6*j(l) + q(l).\nAnswer: -2*l**3 - l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16675423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in hours?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/17 + 1092*i\/17.\nAnswer: -2*i*(i - 546)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -333.771 and 0.06?\nAnswer: -20.02626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 281652 and 396612?\nAnswer: 19433988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 2:48 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6522 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 w when three letters picked without replacement from {w: 1, k: 4, f: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(931)*2 + 0)**2 - (sqrt(931) + 0 + -5)).\nAnswer: -11187 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**4\/11 + 124*l**3\/11 - 2496*l**2\/11 + 15364*l\/11 + 17986\/11 = 0. Calculate l.\nAnswer: -1, 17, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 707\/4, 0, -1, -40, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 191510 and 29597?\nAnswer: 3255670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.0074 * -9865\nAnswer: -73.001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 9) + (-150)\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*i = -2*i - 9645, 5*i = g - 1957. Is g a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*q = -0*q + 16, -q - 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**6\/60 - 65*r**4\/24 + 223*r**3\/6 - 18*r**2 + 8*r. What is the derivative of u(c) wrt c?\nAnswer: -6*c**2 - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 26*g + 120. Let a be v(20). Suppose a = -3*n + 7*n. Which is smaller: n or 9\/53?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39\/4*c - 27\/2*c**2 + 9 + 21\/4*c**3 = 0. What is c?\nAnswer: -1, 4\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25 + 0)*(-39)\/(-7). Let o = r - 139. Let v = -5.1 + 3.1. Sort o, -3, v in ascending order.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 34. Suppose -o = 2*o + 3*j - 15, -2*j + 10 = -x*o. Suppose 0 = 5*w - d - 17, 4*w - 6*w - 2*d + 14 = o. Solve 6 = k - w*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -102. Let q be 8\/l*(-2)\/(-16). What is the second smallest value in 0.3, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 825002*f**3 - 12*f - 4319 wrt f.\nAnswer: 4950012*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 28.18166 and -3879.1537.\nAnswer: -3850.97204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99072 and 2064.\nAnswer: 99072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h**3 + 9*h**2 - 3*h + 3. Suppose 82*k - 246 = -52*k + 52*k. Let i(s) = 8*s**3 + 9*s**2 - 4*s + 4. Give k*i(g) - 4*a(g).\nAnswer: -4*g**3 - 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77427 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 39.5. Which is the smallest value? (a) -2 (b) -5 (c) i (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 8 + 259 + 10\/(0 + 2).\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j - 15. Let v be o(-10). Suppose -s + r = v*r - 12, 2*r = -2*s + 12. Suppose s = x + x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -26) + 1 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m. Let b(q) = 1898*q**2 - 12. Let n(i) = -3807*i**2 + 22. Let t(p) = 11*b(p) + 6*n(p). What is t(j(s))?\nAnswer: -49100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 130\/19.\nAnswer: -3, 5, 130\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 + 305*r**3\/6 - 782*r**2\/3 - 2170*r\/3.\nAnswer: r*(r - 7)*(r + 2)*(r + 310)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1122 + 4088. Does 35 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-870)\/(-116))\/5)\/(33\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - 5162*p + 25802. What is u(5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106037*b - 2 - 106040*b + 2.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97\/3 - 491\/15. What is the nearest to 0.2 in 2\/3, n, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/12*m**4 + 4*m + 3\/2*m**2 + 0*m**3 + 0. What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 61, 119, 233, 421, 701?\n\"Answer: 3*o**3 + o**2 - 4*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = w. Let m = -111 - -114. Solve -m*j + 14 = 5*t, -t + w*t + 5*j = -2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -33*u**2 - 2*u + 0 + 1\/40*u**4 - 1\/10*u**3 - 1\/200*u**6 + 1\/100*u**5. Factor g(x).\nAnswer: -3*(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53889, 5, -2, 0.\nAnswer: -53889, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*n + 6*n - 2*n)*(-1 - 3 - 1) + 28*n + 16*n - 54*n.\nAnswer: -15*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1866387031+30448.8\nAnswer: 1866417479.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - 3.91. What is the third smallest value in 1, 4\/7, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 24, 76, 176, 336, 568?\n\"Answer: 2*m**3 + 12*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 1 + 0\/2. Let f(m) = -m + 7. Let o be f(8). Let b be 0 - z - 3\/o. Solve -b*j = j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:01 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p + 20*p + 2*p - 12271 + 12271.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -663045 (base 8) to base 6\nAnswer: -4435141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103301203 (base 4) to base 5.\nAnswer: -10042440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177392?\nAnswer: 2, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 485533939 a multiple of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0293 - -0.9707. Which is the second biggest value? (a) 3 (b) u (c) -1\/6 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9874\/1605 <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8416803523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8568 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169143, -338283, -507423, -676563, -845703, -1014843?\n\"Answer: -169140*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 divided by -241?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/808727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/552 and -59\/772878.\nAnswer: 71104776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 2. Let z be m(0). Suppose 2*n = -z, k + 26 = -2*k + n. Suppose 7 + 1 = -5*v - s, -v = -3*s + 8. Is k bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 4*d - 3*d)*(1 - 7 + 5) + (-5 + d + 5)*(3 + 3 - 4).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-31 + 506)*(2 - 1). Suppose 3*i + 4*l = 680, 2*l - 1157 + g = -3*i. Is 76 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 times 233.3698\nAnswer: -11435.1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171) + (sqrt(171) - (-1 + sqrt(171) + -5))**2 + 0 + (1 + sqrt(171) + 3 - sqrt(171) - (sqrt(171) + (5 + -2 + sqrt(171))**2)).\nAnswer: -139 - 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (0 - (29 - 62)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585062 is divided by 367.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 + 6*v. Let m(u) = -u**2 + 7*u + 6. Let g be m(7). Let h(a) = -a**2 - a. Calculate g*h(s) + w(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1251 - -0.123. Round j to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 411059153 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**2*t**2 + 199724169*n**2 - 103175611*n*t + 1 wrt t?\nAnswer: 2*n**2*t - 103175611*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 84.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 - (-756)\/72)\/((-1)\/76). Which is smaller: 591\/16 or t?\nAnswer: 591\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 393356 by -3391.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 39\/((-2)\/8 - -1). Suppose 4*c - 46 = 2*h, 0*h = 4*c - 4*h - z. Let f = c + 4. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 64725 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -42. Solve -9 = -u*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(0 - (-4)\/(-4))*-46. Solve -h*f + 42*f = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 820235?\nAnswer: 7382115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 297*u + 5171. What is n(-17)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10557 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3398 or -3399?\nAnswer: -3399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 118*f + 862 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s - 94*s = 3536. Let v(n) = -11*n**2 - 2*n + 3. Let r be v(-3). Let g = r + 39. Which is bigger: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 27*z**2 + 54*z - 287. Determine v(-26).\nAnswer: -1015","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.058\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rllgglglrlrlrgl. Give prob of picking 2 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 6 (b) 0.2 (c) 260 (d) -4\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593405.\nAnswer: 5, 118681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/12653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.552982l to millilitres.\nAnswer: 9552.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.4 - 3.6. Let c = x - -9.6. Let d = 2.9 + c. Sort 5, -0.04, d in decreasing order.\nAnswer: 5, d, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/3)\/((-2)\/36). Suppose 5*l + 5 - y = 0. Let u = 5 - 2. Calculate the remainder when l is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 26.8 (c) -0.3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evveeevevvveve. What is prob of picking 1 e and 3 v?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1324585 and 1825?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464421, -3715457, -12539715, -29723811, -58054361, -100317981, -159301287?\nAnswer: -237790895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 5*f - 2*f)*(51 - 88 - 5)*(2 - 2 - f) + (-3*f + 0*f + 2*f)*(3*f + f - 3*f).\nAnswer: 41*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**4\/4 + 10*w**3\/3 - w**2 + 13*w + 115. What is s(10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2172*i**4 - 171*i - 4786816 wrt i?\nAnswer: -8688*i**3 - 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/3 - 254*o**3\/3 - 1624*o**2\/3 + 7040*o\/3 + 12800 = 0.\nAnswer: -120, -8, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 149973 - 149964. Let g(o) = o + 7. Let w be g(5). Solve 4*z - w = -7*t + 3*t, 4*z = -3*t + v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 - 2*a. Let k(x) = x**2 - 14*x + 17. Let s be k(13). Let p(c) = c. What is s*p(i) + y(i)?\nAnswer: -2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 5*v - 11. Is h(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12*h**2 - 5*h + 1. Let l be x(-1). Let b(q) = -q**2 + 34*q + 259. Let t be b(l). Solve -4*y - t = -3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6. Let z = a + -3. Let i be z - (3 - 7 - -2). Solve i = -4*w - c - 14, 2*w = -0*c + 4*c + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1114779.\nAnswer: 3, 181, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.7 + 28. Which is the closest to 1? (a) l (b) -0.2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 265*c + 7751. Give w(-89).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9517 + 33095. Suppose -3*o = 2*s - 23578, -2*s + y = -o - 0*o. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*x**2 + 149*x**2 + 0*x + 75*x**2 + 0*x + 453*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((16\/(-42))\/(20\/(-15)))\/1*1*119.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -365868 (base 11) to base 15\nAnswer: -b66eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let l(i) = -2*i + 7 + 0*i + 0*i. Let r = -836 - -838. Let p(o) = -1. Let a(f) = r*l(f) + 14*p(f). Give a(u(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18804 divided by 6268.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(2736) + -3)**2 + sqrt(2736) - (sqrt(76) + -2*sqrt(76))*5)*6.\nAnswer: -300*sqrt(19) + 16500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13744701 and 1107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29688 = -5*y - 5*a + 40472, 5*y - 70136 = a. Let r be y\/196 - (-6)\/14. What is the greatest common factor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -3*f + 3, 4*t = -5*f + 13. Suppose 4*p - 5*k - 525 = 0, k = t*p - 3*k - 264. Suppose -3*s = -p - 71. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33461907.\nAnswer: 3, 19, 587051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.3, 1\/20, 247 in increasing order.\nAnswer: -0.3, 1\/20, 0.5, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4)*126\/15. Let a be 6\/21 + 57\/t. Find the third derivative of -2*b**3 - b**2 + 3*b**3 - a*b**3 wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (7 + -6) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 99085*b - 16. Let a(d) = -163348703*d + 26377. What is -16*a(j) - 26377*z(j)?\nAnswer: 14203*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a. Let w(r) be the first derivative of -r**4\/2 + 5*r**3\/3 + 3*r**2\/2 + 269. What is 4*m(k) + w(k)?\nAnswer: -2*k**3 + k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -37\/2, -0.1, 1683?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1291 (base 12) in base 3?\nAnswer: -2220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 26\/(-10) - 2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*a = 153, 4*q + a = 7*q - 213. Suppose -12 = 3*i - 270. Suppose w = 4*d + i + q, w = -4*d - 154. Is d greater than -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -54*x**3 - x**2 - 2*x + 1. What is the tens digit of u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197.81 - 200. Let r = 1.19 + d. Put r, -4\/3, -5 in decreasing order.\nAnswer: r, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 4102*a**2 + 2105350*a + 2101250.\nAnswer: 2*(a + 1)*(a + 1025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124154, -125113, -126072, -127031, -127990, -128949?\nAnswer: -129908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z**3 - 12*z**2 + 26*z - 49. Let b be o(8). What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/18)\/(-8*(-22)\/264)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -39*c**5\/5 + 33*c**4\/4 + 67*c**3 + 147*c**2\/2 + 18*c - 3. What is w in x(w) = 0?\nAnswer: -1, -2\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1731014754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3479*i*t - 10*i - 554482*t with respect to i.\nAnswer: 3479*t - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -59197.51 rounded to the nearest one hundred?\nAnswer: -59200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*g - 4, -5*g + 3*o + 16 = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(6\/(-10))\/((-396)\/(-440)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 46*p - 47*p. What is the units digit of (78 + 2)*p\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-20)\/(-48))\/((-34)\/102) and -63\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.587 rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1734, -2920, -3032, -1542, 2078, 8356, 17820?\nAnswer: 30998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 3*c**2 + 5*c**2)*(6*c**2 + 70*c - 70*c + (-1 + 1 - 2*c)*(3 - c - 3)).\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 4003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*t + 132*t + 7. Let p be ((0 - t) + 78\/12)*2. Let m be -3*2*2\/(-6). Sort p, m, -1 in ascending order.\nAnswer: -1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3 + 13 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u + 2947. Let h(d) = 210*d + 47230. Determine 4*h(k) - 65*r(k).\nAnswer: -5*k - 2635","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 454*q. Let b(c) = -5*c. Give u(b(l)).\nAnswer: -50*l**2 - 2270*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**3 - 315*a**2 - 34. Let k(g) = -6. Determine 6*k(x) - q(x).\nAnswer: 3*x**3 + 315*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbzbbbb. What is prob of picking 4 b?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/5 - 8888*d**2\/5 + 3953380*d - 78925456\/5 = 0. Calculate d.\nAnswer: 4, 4442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24100425 (base 7) to base 5\nAnswer: -1021302304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 7*d + 5. Suppose 14*j = 5*j + 36. Determine y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -313*s**2. Let x(d) = -d. Calculate a(x(k)).\nAnswer: -313*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 - 5*f**3 + 10*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 + -149. Calculate the highest common factor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10f229e + 2?\nAnswer: 10f22a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a + 25*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 473951405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3382101.\nAnswer: 3, 229, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5842?\nAnswer: 2, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0)**2 + -1 + sqrt(243))*3 + -4*(sqrt(243) + 4) + 4 + -1.\nAnswer: -9*sqrt(3) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 1, -7, 0.\nAnswer: -7, 0, 1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-2\/7)\/p)\/p)**(-43)\/(p**(-2\/5)\/(p*p**(-5)*p)))**(-23) assuming p is positive.\nAnswer: p**(-77027\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0*d - 29*d + 3)*(-21*d**2 - 71 + 71).\nAnswer: 609*d**3 - 84*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37192.02 * -0.1.\nAnswer: 3719.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1973?\nAnswer: -1973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = -5, -5*t + 7 = g. Sort -5, t, 4, -27 in decreasing order.\nAnswer: 4, t, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(7\/36) - -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858556, 858558, 858560, 858562, 858564?\nAnswer: 858566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4943009 times 0.043?\nAnswer: -212549.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200971882.\nAnswer: 2, 100485941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 64*h - 78*h = -2772 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1036501, -2073004, -3109507?\nAnswer: -4146010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 867\/5 (b) 4 (c) -666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -27*k**5\/5 + 33*k**4 + 387*k**3\/5 + 171*k**2\/5 - 24*k\/5 = 0?\nAnswer: -1, 0, 1\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 119?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 82*j**2 - 745*j + 55. What is s(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1294414 and 643746.\nAnswer: 120380502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 7 - 21)*(-6 + 0 + 4)*(3*t - 2*t + 0*t) + (7*t - 8*t - 5*t)*((4 - 4 + 2)*(-2 + 3 - 2) + 5 + 1 - 4 - 3 + 3 - 1).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -6770, -19181, -42424, -80111, -135854?\nAnswer: -213265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*c**3*w**2 + 82*c**3 + 9*c*w**3 wrt w.\nAnswer: 42*c**3*w + 27*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2599998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - k - 4*k)*(-61*k + 50*k**2 - 64*k + 122*k) as j*k + o*k**2 + w*k**3 + n and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7500.3717 + 34\nAnswer: 7534.3717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 3*l**2 + 2*l - 4. Let x be c(-4). Solve 6 = -x*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 5*o - 4. Let u(v) = -20*v - 310. Let k be u(-16). What is z(k)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:15 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -661 (b) 5\/9 (c) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 13 = -2*r - 0*l, -5*r + 24 = 4*l. Solve p - 3 + 22 = 4*i, r*p = 5*i - 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63210.\nAnswer: 2, 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14076 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 693854 and 51562.\nAnswer: 88119458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 104.6 and 18.5?\nAnswer: 1935.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/4)\/((-1)\/8). Let f be b\/((-3)\/(12*-1)). Suppose -4*t + f = u + 4*u, -4*t - 2*u = -56. What is the highest common divisor of t and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 * 1.38\nAnswer: 71.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1 (c) -368 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 53072 and 17284352.\nAnswer: 535814912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 44 - 11190*k + 155 - 51 to x*k + o and give x.\nAnswer: -11190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (-28 - -4 - -39)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9682.034 litres in millilitres?\nAnswer: 9682034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from 2746006248.\nAnswer: 2746006247.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1897 and 24.\nAnswer: 45528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 53.08 times -262\nAnswer: -13906.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + m**3 + 3*m - 1 - 1 + m**2 + 3*m**4 in the form s*m**4 + d + u*m**2 + g*m**3 + n*m and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 250608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**5 + 20*a**4 - 3967*a**3 - 2*a**2 + 1171*a - 388.\nAnswer: 360*a**2 + 480*a - 23802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = m - 4*g, 3*g = 137*m - 142*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (407\/(-66))\/(-37)*-8*1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + n - n + (1 + 1 - 1)*(3*n**3 - 7*n**2 + 7*n**2) - 2*n**3 + 5*n**3 - 2*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 815496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19702822 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 3*u + 206. Let c be r(15). Differentiate c - 178*h**3 - 47*h**3 + 417 - 772 with respect to h.\nAnswer: -675*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -9, -30, -69, -132?\n\"Answer: -j**3 - 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 + 18385.\nAnswer: 18397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42333 (base 5) to base 13.\nAnswer: 13a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 46. Let z = 535 - 548. Let n be h(z). Calculate the greatest common divisor of n and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1457 and 517.\nAnswer: 16027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 20 = -4*y. Sort 1\/8, -0.1, y in ascending order.\nAnswer: -0.1, 1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, m: 3, u: 4, v: 1, s: 1}. What is prob of sequence voo?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44578 + -44545. Suppose 0*r = 3*r - 1134. What is the least common multiple of r and o?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -4*n, 2*n + f = -2*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213228341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 25205*l**4\/12 - 2130*l**3 + 810*l**2 + 5*l + 48. Let f(c) = 0. Calculate c.\nAnswer: 18\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.42 + 0.02. Suppose 3*m - 2*m = 5*h - 1094, -2*h + 440 = -m. Let j = h - 2396\/11. Which is the second biggest value? (a) l (b) 0 (c) j (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*c. Let o be (-18)\/(-4)*6\/9. Suppose 16 = 4*l + 4*b, -3*l - 2*b - o*b = -12. Solve c = 3*g + 5 + l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42.92 + 45.92. Which is the closest to -1? (a) 20 (b) -0.7 (c) r (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/48)\/((-5)\/8))\/(((-55)\/(-30))\/(-11))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccv when three letters picked without replacement from ceovvcvhcrcvvvcvccee?\nAnswer: 49\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 39, 43, 29, -9, -77, -181?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.014 + 2.914. Let j = v + -3. Let x = -3 - -3. Which is the closest to x? (a) 1\/6 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 12, i: 3, q: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*z - 25 = 56, z - 123 = 5*r. Let v be (30\/r)\/(4\/(-5))*2. Let p(f) = -f**2 - 5*f + 12. Let g be p(-6). Solve -21 = -v*o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36762708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 305441 and -930.\nAnswer: 304511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 760 and 1406.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2312734 divided by -1156367\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4534545 (base 8) to base 4.\nAnswer: 10223211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 8 - 3*y)*(0 + 0 + y**2 + (0 - 4 + 5)*(-2*y + 12 - 12)*(-2*y + 3*y + 7*y)) as t*y + w*y**3 + x + h*y**2 and give w.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 707316.2 microseconds?\nAnswer: 0.7073162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**5 + 145*r**4 - 400*r**3 + 260*r**2 = 0 for r.\nAnswer: 0, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 202385\/2 = 101193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - o + 1. Let f(l) = l**2 - 12*l + 36. Let q be f(5). Let i(a) = -6*a + 2 - a**2 + 5*a - 2*a. What is q*i(k) - 2*g(k)?\nAnswer: -3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 7*j**2 - 2*j - 7. Let p(m) = 2*m**3 - 2*m**2 + m + 2. Calculate 2*a(v) + 7*p(v).\nAnswer: 4*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/24 + 10*j**3\/3 + 21*j**2 + 128*j\/3 - 967. Factor p(r).\nAnswer: -(r - 64)*(r + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 171 + -101. Let b be ((-56)\/v)\/(1\/(-15)). Suppose -273 = -5*y + b. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j = 4*w - 4, 4*w = 4*j. Suppose y = j*g + 12, 4*y - 18 = -0*y + g. Solve 4*c - 3*s + 3 = -y*s, -s = 5*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 8. Let u be j(7). Let a be u\/(4\/(-3) + 1). Find the first derivative of a - 3*k + 0 - 2 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*6\/((-36)\/(-6)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221220102101 (base 3) to base 11.\nAnswer: 984702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 53. Suppose -2*w + 3*v + 16 = 0, b*w - v = 1 + 16. Suppose 1 = r + w*g - 0, -2*r - 2*g + 10 = 0. Solve 2*p - 4*p - 2*i = r, -5*p - 5 = -5*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7563 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25424.39ml?\nAnswer: 25.42439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 - 8*n**2 - 48*n - 7. Let c be w(-6). What is the greatest common divisor of 111 and c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.07, -4.06 in descending order.\nAnswer: 0.07, -4, -4.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 8*u = 16. Suppose -u*l - d + 9 = -4*d, -2*l + 2*d + 14 = 0. Let x = -48 - -81. Calculate the remainder when x is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-3)*6\/168?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 141067841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0\/g)\/g)**30\/(g\/g**(-4)*g\/((g\/(g**(-2\/21)\/g))\/g)))\/(g**(-1)*g*g**8*g)**(-1\/54) assuming g is positive.\nAnswer: g**(-2719\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71624 divided by 56.\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 159, 171, 69, -213, -741?\nAnswer: -1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - 2*b, -5*b + 6912 - 6897 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -563*r**2. Let i(g) = 109670*g + 2. Calculate i(o(p)).\nAnswer: -61744210*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4)*(-6)\/279)\/(2\/(-4))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-132)\/30 - -4) + 3034\/10. Let g = 463 - i. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o - 182. What is u(-19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 3*a - 1. Let j be p(-4). Suppose -3*h - 1 = -4*f + 7, -3*f = 3*h - j. Is ((-3)\/(-4))\/(h\/288) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, h: 2}. Give prob of picking 1 p and 1 h.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12955817.\nAnswer: 7, 1850831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -134*t**2 - 4137035*t - 436452885 wrt t?\nAnswer: -268*t - 4137035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 5 - 7) + 4 + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1001, 1525, 2401, 3629?\nAnswer: 5209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -167, -335, -525, -749, -1019, -1347, -1745, -2225?\n\"Answer: -2*g**3 + g**2 - 157*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -800028, -1600023, -2400018, -3200013?\nAnswer: -4000008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 12*h + 9. Let a be f(-12). Find the second derivative of 5*m**2 + 3*m - a*m**2 + 7*m wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353738 + 47*k**3 + 1353738.\nAnswer: 47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.2 + -5.3. Suppose -3*h + 2 + 13 = 0. Let k = h + -8. Which is the nearest to n? (a) k (b) -1\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*d + 299 - 101. Suppose 2*f - 2*k - 6 = 6, -5*f + 4*k = -29. Find the second derivative of -12*n - 9*n**f - 5*n**5 + d*n**5 - 8*n wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*d)\/d)\/(d*d**(1\/5)))**(-46)\/((d\/(d**(-2\/7)*d)*d*d**(1\/8))\/(d**4\/d*d*d\/(d\/d**2*d)*d*d)) assuming d is positive.\nAnswer: d**(42781\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 970 is divided by 323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:14 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 4*n**3 + 0*n**3 - 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010000 + -11011100011?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (-32)\/(-8) + 2. Let r(v) = 73*v**2 + 56*v**2 + 1 - v - 130*v**b. Let g(d) = d**2 - 5*d + 5. Calculate 2*g(o) - 10*r(o).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d - 272 - 369 = -6*d - 134 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -2080 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2051*a**3*r + 2*a**3*v - a**2 + 34647*a*r*v + 28*r with respect to v.\nAnswer: 2*a**3 + 34647*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 2*m + 188. Let c be h(14). Let l = c + -289. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*b + 14*b - 40*b - 13*b - b**2 - 7 + 54*b to the form x*b + m*b**2 + c and give x.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, p: 1}. Give prob of picking 1 p and 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**5\/20 - u**4\/12 + u**3\/3 - 31*u**2. Let p(h) = -8*h**2 + 7*h - 7. Give 7*a(g) + 2*p(g).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 700*f = 82*f - 122*f + 5180 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 = -6*v + 113. Let x = -86 + v. Let n = x - 4. Solve 3 = n*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 2*k. Let j = 20 - 26. Let y(d) = -d. Let a(l) = j*y(l) + 3*m(l). Let z(g) = -2*g**2. Calculate a(z(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 bigger than 534198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*l + l - l)*(-2*l + 3*l + l) - l**2 + 4*l**2 - 4*l**2)*(1 - 2 - 3).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwptppewwwwettpww.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 2, p: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -253183828 divided by -591551\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus -100.8261?\nAnswer: -131.8261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2488*m + 144848 + 64705 = 45345 for m.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13859998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 - 256 = 137*t - 370 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 187966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -486353000 rounded to the nearest 1000000?\nAnswer: -486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106207445 is divided by 21241475.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 2*w - 2. Let p be g(-1). Suppose 3 = 3*z - a, -7 = -3*z + 3*a + p. Suppose -4*m + 14*m + 820 = z. Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4313*r = -2168*r - 2174*r + 3190 for r.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124 + -1348. Let q be 60873\/i - (-12)\/(-16). Let c = -7\/408 + q. Calculate the common denominator of c and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 818330 divided by 6935\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -52*(-3)\/(-72)*(-6)\/78?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 2 (c) -0.1261\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*h - 5*f + 53, 0 = 12*h - 2*f + 96. Put 23, -6, h in descending order.\nAnswer: 23, -6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -1 (c) 8\/9 (d) 1\/7 (e) -39 (f) -1\/6 (g) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -77696, -59 in increasing order.\nAnswer: -77696, -59, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*g - 9, 2*g + h + 4*h + 13 = 0. Suppose -3*x - g = 3*x. Put x, -5, -4, -2 in decreasing order.\nAnswer: x, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*sqrt(60))\/(-2*sqrt(1728) - sqrt(1728)).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*a + 19 = -101 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v + 5. Let q be l(4). Let d = q - 3. Solve -4*p - 20 + 8 = 0, 10 = d*x - 2*p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 95732425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -524, -264, 168, 772, 1548, 2496?\n\"Answer: 86*x**2 + 2*x - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/((-48546)\/283185*((-7)\/(-2) + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 13*d - 23. Let w be v(-2). Solve 0 = -8*m + w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = 3*s + 6, -3*s = -2*u + 12. Let d be 1 + u + 33 - 3. Suppose 12 + d = h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/14 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4304*z**2 + 0*z**4 + z**4 + 1879*z**2)*((1 - 4 + 4)*(-1 + 4 - 1) + (0 + 1 + 0)*(-3 + 2 + 2)).\nAnswer: 3*z**4 - 7275*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 209*a**2 - 13*a - 114. Is f(-13) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*y - 51 wrt y?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37023200 to the nearest one hundred thousand.\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = s, -4*s + 25 = 4*o + 9. Let d be -2 - -6*(36\/8 + o). Solve 20 = 5*t + 5*x, -t - 4*t + 4*x - d = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 3535.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) -0.5 (c) -27 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24990744*n - 28017987?\nAnswer: -24990744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 34*t + 12. Determine c(-16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 7*a**2 + 5*a - 1. Suppose 4*z - 6 - 6 = 0. Suppose -5*i - 24 = z*w, -4*i + 5*w = -13 + 47. What is m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 59*k + 114 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (45 - 11) + -35 - (1 - 9) - (96 + 32)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0.5, -6, 1\/4, -2\/351?\nAnswer: -2\/351","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1646490050 to the nearest integer?\nAnswer: 40577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 10. Let m be w(-8). Suppose m*l - 4*q = 28, 0*q = -l + 3*q + 17. Solve g + 5*v = l, -3*v = 2*v - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 68. Let u(d) = -d**3 + 3*d**2 + 6*d - 6. Let p be u(4). Let h = 106 + -101. Solve 4*x = 8, p*x - g = 2*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**3 - a**2 - 2*a + 1. Let q(t) = -9*t**3 - t**2 - 3*t + 2. Calculate 2*q(w) - 3*z(w).\nAnswer: 6*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0. Let v = 1.2 + -6.2. Let c = v - -4. What is the second smallest value in c, -4\/9, z?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f - 3. Let p be b(-8). Let i be 3*5\/p*3. Solve -a = 5*x - 4, 4 = -2*x - 5*a + i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -993 - -1759. List the prime factors of v.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 20*f + 20*f)*(-4*f + 3*f + 2*f) + 14*f**2 - 6*f + 6*f in the form j*f + i + d*f**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -8 + 9 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 13\/7, 0.1 in ascending order.\nAnswer: 0.04, 0.1, 13\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5371011, 5371003, 5370995, 5370987, 5370979, 5370971?\n\"Answer: -8*x + 5371019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5. Suppose -u + l = 0, -u = 2*r + u - 24. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8669781, 8669820, 8669861, 8669904, 8669949?\nAnswer: 8669996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d3d (base 14) to base 16.\nAnswer: 3fc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 80 - 40 = 0. Let y(m) = -m**2 - 12*m + 49. What is the lowest common multiple of o and y(-11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1192 divided by 298.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 27 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 5.\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.81 and -0.2381?\nAnswer: -0.192861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 23*k + 49. Let m be j(-25). Let f(q) = -q**3 + 2*q**2 + 4*q + 3. Let c be f(m). Find the second derivative of -25 - 12*s + c*s**4 + 25 wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 136 - 71 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/6*-8*93\/18. Let z = l + -132. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from aeaoaaooaaaaaaaa?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 6*q**2 + 9*q - 8. Let c be g(7). Let d(h) = 5*h - 14. Let k be d(c). Suppose 4*i - 4 = k. Solve -i = 2*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*o**3 + 2*d**3*g*o**3 + 19*d**3*g + 7*d**2*g*o + 9*d**2 + 2*d*o**3 - g*o**2 wrt d.\nAnswer: -48*d*o**3 + 12*g*o**3 + 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 115. Let p be l(-20). Let j be (-302)\/70 - (-4)\/(-14). Let h = j + p. Put h, -4\/7, -2\/3 in descending order.\nAnswer: h, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/3*810\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {z: 3, w: 3, x: 2, u: 1, h: 3, s: 7}?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.29 - 2.31. Let j = 2.60026 + f. Round j to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + 3*s - s)*(s + 0*s - 2*s) - 801*s + 248*s**2 + 801*s.\nAnswer: 251*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.665742 to 3 decimal places.\nAnswer: -0.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 800?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 1, -0.4, -2\/649, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-0.089.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 285, 510, 825?\nAnswer: 1230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 - 6*s**3 + 3*s**3)*(0 - 3 + 0)*((-1 - 4 + 4)*(-4 - 2*s + 4) + 5*s + 26*s + 0*s) in the form d*s**3 + g*s + f*s**2 + o + t*s**4 and give t.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -365*b + 498*b + 11 + 468*b to the form n + r*b and give r.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 - 133. Suppose -5*r + 0*r + 30 = 0. Calculate the smallest common multiple of r and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 0*s**3 + 11\/24*s**4 + 4*s - 7\/20*s**5 - s**2 + 0 + 1\/40*s**6. Find the second derivative of k(v) wrt v.\nAnswer: 18*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 60. Let h = -45 - s. Solve -h*p + 0*p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 15\/4 of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -56. Let g be (-3)\/(-12)*4 + 3. Suppose -16 = -3*f + g*q, -2*q - 8 = f - 4*f. Solve 3*w - n + 5 = f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -11 + (-1 + 2 - -15)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**4\/2 + 2*v**3\/3 + 5*v**2\/2 + 6*v - 68. Let w be -4 - (-1 + (-2)\/(-2)). Is o(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*h**2 - 5 + 227*h**2 - 7 + 10 - 649*h**2.\nAnswer: -620*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsi when three letters picked without replacement from {a: 8, s: 2, u: 2, i: 1, d: 2, n: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7945 = -j, 24*b + 4*j - 31740 = 20*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 12\/((-2)\/((-22)\/33))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.9 and 1.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000 (base 2) in base 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-6)*v\/v**(-2\/27)*(v**0)**20 assuming v is positive.\nAnswer: v**(218\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.1\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**2 - 66*t - 7. Let d be j(-9). Calculate the highest common factor of d and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39155402?\nAnswer: 2, 11, 13, 79, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.009 + 4.009. What is the closest to 0.1 in -0.1, c, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)*x*x**(8\/3))\/(x**31\/(x*(x\/(x**2*x))\/x)) assuming x is positive.\nAnswer: x**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 + 0*w**4 - 5*w**4)*(0*w + w - 2*w) + 5*w**5 - 11*w**5 - 5*w**5 - 8*w + 121*w**5 + w + 7*w.\nAnswer: 111*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p. Let h(j) be the first derivative of 2*j**2 - 13. Give h(o(v)).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -650.13 + 650.3. Is d at most as big as -0.64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/((-28)\/7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3. Let x(f) be the second derivative of -f**4\/24 - f**3\/3 - 28*f**2 + 2*f + 56. Let o(m) be the first derivative of x(m). Determine 4*b(y) + 6*o(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 4 = 0. Suppose u*s - 24 = -0*s. Suppose -x = 2*h, 2*h + s + 2 = -5*x. Solve 3*w - h = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133698*-4.\nAnswer: -534792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + 4*sqrt(32).\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 37 - 3\/(6\/8). Let v(n) = 22*n**2 - n - 1. Suppose 2*i - 8 = 0, 4*i - 12 = -3*d + 1. Let p be v(d). Calculate the greatest common divisor of s and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3635796 and 14715.185?\nAnswer: 3650511.185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gllg when four letters picked without replacement from {g: 14, l: 4}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3392 + 3486 - (2 + 95).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336984?\nAnswer: 2, 3, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2721088621?\nAnswer: 67, 40613263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -34*q**2 + 2*q. Let a(f) = -12*f. Calculate w(a(p)).\nAnswer: -4896*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*r - 3 - 2 = 0, -s = -3*r + 9. Let q be (1 - -1)*(-3)\/20. Let g = 9\/5 + q. Which is the nearest to -1\/4? (a) s (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 - m**2 - 32*m**2 + 17*m - 10*m + 3*m**4 - 6*m to b*m**2 + i + a*m**4 + y*m + f*m**3 and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -f + 5*s - 14, 5*s + 6*s = -f + 6*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*m - 6663 = -2*f, 2*f = 5*m - 4463. Let r = f + 3184. Is r a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 + 11*l**2 - 4*l + 1. Let x be 22\/4*2*1. Let s(q) = q**3 + 2*q**2 - q. Let u(c) = x*s(c) - 2*n(c). What is u(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + (4*sqrt(1573) - sqrt(1573)).\nAnswer: 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 52, 100, 166, 256, 376?\n\"Answer: p**3 + 29*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(296\/259)*2\/(-7))\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -0*y - 2*m + 6, 7 = 3*y + 4*m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:03 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4\/18 + (-32)\/(-18) + 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-24*(-153)\/(-353600))\/(-2*2\/48) and 15\/26.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13059 (base 14) in base 3?\nAnswer: -2101002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 2. Let r(c) = -2*c - 2. Let b(w) = -2*d(w) + 3*r(w). Suppose -2*y + 0 = 4. What is b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 5*h + 10*h**2 - 2*h - 2*h + 0 to the form n*h + f*h**2 + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 190*l - 111228 = 0. What is the remainder when l is divided by 191?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3.07.\nAnswer: -3.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 116\/(-12) + 3 + 6\/9. Let u(n) = -1481*n + 43. Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -195*s + 163. Give l(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 5271680.\nAnswer: -1\/1317920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/(-45)*(-1632)\/(-64)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1207\/14 + -86. Suppose 0 = 51*z - 42*z. Does k = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - s - 5. Let o be l(-7). Let d(v) = -v**2 - 2 + 2 - v**o. Let b(t) = -2*t**2. Give d(b(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*m + 2*m + 32 = 0, m + 33 = -3*u. Let v be (30\/(-50))\/(22\/u). Let z be 9\/(-20) - 3\/(-15). Which is smaller: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c**4 + 915*c**3\/2 - 40265*c**2 - 3851925*c\/2 + 484000 = 0. What is c?\nAnswer: -55, 1\/4, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let d be (-5 + 1)\/(c\/(-2)). Solve -3*n - 18 = -3*k, d + 2 = -5*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -960031688 by -4.\nAnswer: 240007922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - (64 + -67).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 25.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w - 1. Let z be y(-2). Let q = z + 11. Suppose -5*b = -q*l + 93, 10 = -2*l - 2*b + 52. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -217025*r + 216775*r + 33000 for r.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 10. Let q = -10 + o. Let c be (5 - 4)\/(1\/(-3)). Sort c, q, -4 in descending order.\nAnswer: q, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*a = -1033 - 2369 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -164052 divided by -5859\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-2*h**3 + 3*h**3 + h**3) - 3*h**3 - h**3 - h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m. Let h be l(2). Let i(z) = 2*z**2 - 6*z + 2. Let q be i(h). Let b(j) = -j + 4. Let w be b(-6). Calculate the greatest common factor of q and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t - t + t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 22\/3 + 1\/3*w**2 = 0. What is w?\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/3)\/((-5 + 0)\/(-420)). Suppose 6*n + 99 = 10*n + q, -n + 3*q + l = 0. Solve 30*d - n*d = 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w + 1. Let b be s(1). Let r = -7 - b. Calculate the least common multiple of 2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.205 - -0.177. Let t = l - 4.972. Put 3\/4, t, -7 in descending order.\nAnswer: 3\/4, t, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*(-686)\/4165*-10?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) - 1*sqrt(130)) - sqrt(130))\/sqrt(10) - (sqrt(104)\/sqrt(2) - sqrt(13)) - (sqrt(26)\/(sqrt(216)\/sqrt(12)))**2.\nAnswer: -sqrt(13) - 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose -o - 12 = -3*u, -d + 19 = 4*u - o. Solve -5*t = u, 2*f - 3*t - 7 = -2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/60 - 5*k**4\/24 - k**3\/2 - 2*k**2. What is the smallest common multiple of g(7) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 - 23*j**2 - 3*j - 9. Let g be i(-5). Which is greater: g or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99857035?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 + 49. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 8. Let z be (-2 - -1) + -1 + 252\/144. Which is the closest to 7? (a) z (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -5*m - 333. Let s be -2 - (-2)\/(-4)*m\/(-9). Sort s, 10, -1 in descending order.\nAnswer: 10, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -141*f*y**2 - 29*f*y + 234795*f - 72*y**2 - 13*y - 62 wrt y.\nAnswer: -282*f*y - 29*f - 144*y - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -17, 5, 1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -640.3374 + 345.366. Let w = z - -295. What is w rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 97, 138, 253, 478, 849?\n\"Answer: 6*d**3 + d**2 - 4*d + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2*-2)\/1. Let k(z) = 41*z**3 - z + 2. Let p be k(w). What is the units digit of -5*(p\/(-10) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = -q - 3*i, 2*i = 2*q. Suppose 0*l - 3*l + 9 = 0. Solve 19 = 4*o + l*a - 2*a, -q*o + a + 16 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001001001 (base 2) in base 3?\nAnswer: -2220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbkhhkakkbkkhkkh. Give prob of picking 3 k.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89379540?\nAnswer: 2, 3, 5, 17, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.03 + 0.66. Let k = 12400178 + -12400178.6300009. Let a = x + k. What is a rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336306 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: What is the value of -131 + 165 + (-37 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rogyy. Give prob of picking 1 o and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*c + 4*c + 80*c in the form u + b*c and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 48\/11, 0.09, -203\/2, 6 in increasing order.\nAnswer: -203\/2, 0.09, 48\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.341 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 78. Let x(b) = -2*b**2. Calculate m(x(t)).\nAnswer: -8*t**2 - 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14)*157\/((-48984)\/16744).\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1103434 (base 5) to base 16\nAnswer: 4b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 16) + (-10 + -10 - -19 - (1 - 1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n**3 + 3*n**2 + 7*n - 2. What is the remainder when 685 is divided by z(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37550272.\nAnswer: 2, 586723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/16)\/(-5 + 7 - 3). Sort 0.1, -5, -0.1, g in ascending order.\nAnswer: -5, g, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)\/z)**(-8\/3)*(z*z**(6\/13)\/z*z)\/z*z*z\/(z**(-15)\/z)*z)**16 assuming z is positive.\nAnswer: z**(21904\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (535\/35)\/((-43)\/(-86)) - 27?\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjffsssffjsppjfsf. What is prob of sequence ssss?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(245) + sqrt(245)*3)**2 + -2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 4. Let k be j(5). Let w(h) = h**3 + 4*h**2 + 3*h. Let v be w(-2). Is 13 - (-3 - k*v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 25 = j, 22*v + 40 = 19*v - 5*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 646030248 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 3*j - 3*j)*(2*j - 6*j + 2*j) + (j - j + j)*(4 - 2 + 4)*(-4*j + j + 6*j).\nAnswer: 22*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 3*m**2 - 2*m**2)*(-103 - 152 - 37)*(5 - 1 - 1).\nAnswer: -3504*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (89 - (42 - -56))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035644 rounded to 5 decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 4 + 4 + (0 + 6 - 4)*(4763 - 170 + 1605)*(a + 4*a - 3*a))*(4*a - 7*a + 2*a) as r*a + k*a**2 + x and give k.\nAnswer: -24794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**4 - 52*g**2 + 18 wrt g?\nAnswer: -4*g**3 - 104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 0.4 (c) 2\/62371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let x(y) = -95*y**2 + 2*y - 50. Determine x(j(n)).\nAnswer: -380*n**2 + 4*n - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/50)\/((-2816)\/(-1408))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 36 + 3)*(1 + 4 - d**2 - 9 + d**2 - d + d + (3*d + 0*d - 5*d)*(-3*d + d + 0*d)) to g + z*d + t*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (15 + -13 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498*h - 1470*h + 280 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 25836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36576576 divided by -190503\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**4 + q**4 - 117*q**3 + 7*q**4 + (q + 0*q + q)*(-2*q**3 - 3*q + 3*q) - 3*q**4 + 5*q**4 + 0*q**4 as l*q**3 + p*q**4 + a + g*q**2 + u*q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 945552, 945545, 945536, 945525, 945512?\n\"Answer: -y**2 - 4*y + 945557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 584194 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*a + 26*a - 28*a + 46*a as d + b*a and give b.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.7, 2\/7, 12 in ascending order.\nAnswer: 2\/7, 0.7, 12, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6424947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 64*v - 1. What is q(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 285 = -n, -3*n + 830 = 4*f - 0*f. Let o = n + 612. What is the hundreds digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 450 + -5?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5, 3*m - 2*n - 3 = -5*n. Let p be 4 - m - (-87)\/(-18). Which is the fourth biggest value? (a) p (b) -1 (c) 2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 + 93. Let x = t - -30. Suppose -x*b - 3*b = 290. Does -30 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:10 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 10475 = -10482 + 20967, 2*h - g = -4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23317*q + 23261*q + 1044 = 4*u + 112, 4*q + 4*u - 48 = 0 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1196 = -4*v + 1228, -2*k = -3*v + 24. Sort k, -4, 2, 88 in ascending order.\nAnswer: -4, k, 2, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -354, 42, 148, -3, 4 in increasing order.\nAnswer: -354, -3, 4, 42, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + j + 0 + (j - j + j)*(-3 + 4 + 1) + j - j + 2*j + 44*j + 2142 - 2142.\nAnswer: 49*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 9. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403 (base 5) in base 7?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 150, 230, 364, 552?\n\"Answer: 27*o**2 - o + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -4*g. Suppose 0 + g = -a. Let p = a + 13. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25102 and 2626582.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 60114987 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/(-28) + (-6)\/(-21). Suppose -4 = 2*f - 12. Let g be ((-1)\/6)\/(6\/f). Sort g, v, 2.\nAnswer: v, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011085 to 5 dps.\nAnswer: -0.00111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -2020?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3999 + -3958. Which is the nearest to t? (a) 0 (b) 1 (c) -0.2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2906*s + 44204 + 69931 = -39883 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13879816*s**2 - 3*s**3 + 13879816*s**2 + 15*s.\nAnswer: -3*s**3 + 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - (3 + -2) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310109 and -0.6?\nAnswer: 186065.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, -53, -88, -137, -206?\n\"Answer: -f**3 + 2*f**2 - 26*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u + 4. Let x(p) = -4*p - 4. Let j(q) = -3*r(q) - 4*x(q). Let i(g) be the first derivative of -3*g**2\/2 - 15*g + 476. Determine 4*i(c) + 15*j(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -66*r + 44*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = -g. What is the lowest common multiple of 18 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -5. Let a = i - -7. Find the first derivative of 1 - d**3 + 3*d**a + 1 wrt d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.37 (b) 2\/573 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 55. Let i be g(-9). Let v be -3 + (3 - i) + 21. Solve -2*z + 3*w + v = 0, -5*w = -4*w + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*d - 3970, 4*d + 5*c = -0*d + 3176. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00503279936 rounded to 6 decimal places?\nAnswer: 0.005033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3890 and 5.869.\nAnswer: 3895.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/60713?\nAnswer: 3\/60713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528262 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784317043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 41626 divided by 80\nAnswer: 20813\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 6*u + 100 = 10*u, 5*o - 50 - 12 = -3*u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2. Let x(a) = 77*a + 7. Let f(w) = 61*w + 8. Let d(n) = 5*f(n) - 6*x(n). What is z(d(c))?\nAnswer: -24649*c**2 - 628*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/(1\/12). Suppose 3*b - 14 - t = -s, 10 = b - 4*s. What is the smallest common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 - 2*w + 192 + 76 in the form d*w + u and give u.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/8)\/((-6)\/16). Let p(o) = o**3 - 3*o**2 - 8*o - 5. Let s be p(f). Suppose 6*q - s = q. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 5*s - 87. Let o = 33 - s. Suppose -o*l = -140 - 124. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*u + 1 = 0, -13*u + 5 = -8*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5 - 1. Suppose 11 + 17 = b*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/266481 and 5\/7?\nAnswer: 1865367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2209468742*v**2 + 3336816*v + 278068. Let y(q) = -39729*q**2 - 60*q - 5. What is 278068*y(m) + 5*z(m)?\nAnswer: -19862*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14583.\nAnswer: 3, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 3240 = -40*p. Suppose 5*o = p + 177. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-45) + -23 + 55916\/2415?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 10 = 0, 0*y - 14 = -2*y + 4*n. Suppose 2*r = -y*c - 85, -5*r - 26 = 3*c + 47. Let l = -5 - c. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.05640161\nAnswer: -0.028200805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480660 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637452720 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipipppqqiqppiiiqqqq. What is prob of picking 4 p?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 230 = 7*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:19 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000010101101011000 (base 2) to base 13.\nAnswer: 974a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44044 (base 6) to base 7.\nAnswer: -23500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 695736555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (87 - ((0 - -2) + 0)) + -1. What is the remainder when 89 is divided by (12\/(-14))\/((-4)\/t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = k - 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 3, -175, 169?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w - 24. Determine i(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + -10 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 15 = -4*v, -v - 3*i + 12 = -0*i. What is the remainder when 4 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y - 111*y + 16*y + 53*y + 18*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v = 34*v - 3*r - 609, -v = r - 147. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**2 - 13. Suppose 0 = r - 0 - 6. Let a(l) = 4*l**2 - 3. Let y(i) = r*k(i) - 26*a(i). Let f(s) = 793*s - 1577*s + 785*s. Give y(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28746811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k + 8. Let g be t(5). Calculate the highest common factor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 6*t + 5. Let h be p(5). Let z be (14\/(-1))\/((-5)\/((-40)\/(-16))). Solve 10*w - z*w = h for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 130.\nAnswer: 7\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -7*n - 6. Let z(m) = -m - 1. Let w(k) = -c(k) + 6*z(k). Let j(o) = -2*o + 2*o + 2*o + 3*o. What is j(w(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 524813 to the power of 1\/2, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/485582 and 23\/3880?\nAnswer: 9711640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2 = -6*o. Let r(q) = 5*q. Let f(p) = 11*p. Let x(j) = 2*f(j) - 5*r(j). Let u be x(o). Solve -b = u*t + 2, 3*t + b + 5 = 3*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let v(d) = -d**2 + 5. Calculate 2*j(q) - v(q).\nAnswer: q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 7*m**2 + 6*m + 6. Let n = 24 + -30. Let d be w(n). Suppose -9*y + 153 = -d*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -65, -66, -65, -62?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/80*5 + -236. Let o = -30 - -56. Let h = o - a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -76. Let s = 3852 - 3852.2. Which is the closest to s? (a) 5 (b) 3\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177747 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 13*y**2 + 13*y + 4. What is h(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:26 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6845758 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 3*n**2 + 4. Let t = 7 + -4. Let c be f(t). Suppose c*u + 6*m - 36 = 2*m, 5*u = -m + 37. Calculate the remainder when 12 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:13 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -241.42 + -6996670?\nAnswer: -6996911.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2 - 3.33. Let r = t - -0.03. Let x = -5.2 + 5. What is the smallest value in r, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/(-80))\/((-4)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4904*x**2 - 14733*x**2 + 4911*x**2 + 4905*x**2.\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1712*p**5 + 5*p**2 + 72*p.\nAnswer: 102720*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, m: 2, c: 7, x: 1, e: 1, u: 2}. Give prob of sequence cmz.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22251 - -2?\nAnswer: 22253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1855436 is divided by 1855412?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 101000001010 (base 2) to base 7\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 510.8322t?\nAnswer: 510832200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 120 + 6. Let y(d) = 6*d**2 + 8*d + 1. Let q be y(-6). Let m = q + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 13\/(-61 - 4). Put l, 0, 2 in descending order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from mnwnwmwmumwwmwnmwww?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43.186 - -0.504. Let p = -44 + h. Let a = p + 0.21. Is 3\/5 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 32*m. Let k(n) be the third derivative of -n**4\/12 - 21*n**2. Determine d(k(c)).\nAnswer: -64*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18783 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 618.5, 0.187, 1\/4?\nAnswer: 0.187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/5 + 3398*g**3\/5 - 1358*g**2 + 3394*g\/5.\nAnswer: -2*g*(g - 1697)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**3*c)\/c)\/(c**6\/c*c)*c\/c**(-2\/17)*c\/(c*c\/(c*c*c*c*c\/c**(1\/7)*c)*c))\/(((c\/(c*c*c**(-7)\/c))\/c)\/(c*c**(-5)))**(-34) assuming c is positive.\nAnswer: c**(40933\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 + -3. Let m be 4\/(-22) + 81\/(-99). Which is the second biggest value? (a) m (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 4*j**2 + 9. Let t(u) = -3*u. Give t(l(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6*(-150)\/20. What is the greatest common divisor of a and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**4 + y**3 + y**2 + y + 1. Let n(k) = -44*k**4 - 6*k**3 - 6*k**2 - 3*k - 24. Let m(p) = -n(p) - 6*z(p). Find the second derivative of m(q) wrt q.\nAnswer: 456*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30736.066041 - -30736. Let w = -66.066 - -66. Let h = o - w. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**7\/105 - c**5\/12 + c**2\/2 - 3. Let n(r) be the second derivative of u(r). What is the third derivative of n(h) wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/4 + 32697*a**3\/4 - 29770254*a**2 + 36494368560*a - 963805931136 = 0.\nAnswer: 27, 3624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1077963719\/8262 + 260945\/2. Calculate the common denominator of -14\/45 and y.\nAnswer: 20655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 n when four letters picked without replacement from {h: 1, n: 10, e: 2, z: 4}?\nAnswer: 24\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45178380 and 1?\nAnswer: 45178379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -994, -2289, -4090, -6385, -9162?\nAnswer: -12409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - 6\/18. Does 9 divide x*(-2)\/8 + 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 117?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/201 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 720572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 2:28 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or -5\/22748?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 60 = -3*l. Let f be (6 - 0) + (2 - 0\/(-12)). Calculate the smallest common multiple of l and f\/(-6)*(-759)\/46.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -27*a**2 + 4. Let z be j(-2). Let v = z + 121. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d4 + 4?\nAnswer: 7d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 2*w**3\/3 + 1. Let j(g) = 251 + 248 + 26*g - 755 + 256. Give i(j(n)).\nAnswer: 1352*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503915?\nAnswer: 5, 97, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -35*m + 4. Let n be g(-5). Suppose -2*z + n = k, k - 362 = -k - 5*z. Calculate the highest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 21*k**2 - 8*k + 14. What is c(10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {r: 2, i: 2, x: 1, d: 2, u: 1, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-475)\/(-76) - 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 - 3*r**5 - 971644*r**3 + 5719244*r**2 + 17*r wrt r.\nAnswer: -360*r**3 - 180*r**2 - 5829864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345560.\nAnswer: 2, 3, 5, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 928\/156 + -5 + -4.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of 0 + 2*q**2 + 49\/6*q**3 + 1\/24*q**4 + 0*q. Is v(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, -1.5, 28\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 6 + 1105 + 747 + h.\nAnswer: 3*h + 1846","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/10527 and -61\/22774686?\nAnswer: 250521546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 3978626?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i - 6*i - 93 + 11. Let z = -4440 - -4416. Does 9 divide f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f38 + 1f?\nAnswer: -f19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a - 5. Let s be m(-6). Let k be s\/7*-3*1. Let z = 120.74 + -121.14. Put 2, k, z in decreasing order.\nAnswer: 2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -650*a + 37085. Calculate x(57).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262638 - -457207. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2509\/3 - -836. Which is the second smallest value? (a) 4 (b) f (c) -1\/4 (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/48 + g**3\/6 - g**2\/2 - g - 3. Let b(z) be the first derivative of s(z). Find w, given that b(w) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, n: 12}. What is prob of sequence bb?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*t + 26 = -86*t - 3*m, 5*t + 45 = -5*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Let j(m) = -m**2 + 26*m + 4. Let n be j(26). Suppose o = -v*c + 80, n*o - 160 = 2*o + 5*c. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 9*y + 17. Let t be c(7). Suppose t*k = 936 + 687. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -261*q + 327*q + 198 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((0 + 2)*((-2828)\/112 - -25)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (-40 - -76) + (0 - 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21131478.\nAnswer: 2, 3, 149, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 34128171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 3*s**2)*(96*s + 503*s - 115*s) in the form o*s**3 + y*s + u*s**2 + a and give o.\nAnswer: 1452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6929204911.\nAnswer: 21377, 324143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.49 * 16.\nAnswer: 279.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2158579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91 and 1400.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -17. Let u be (-1)\/((-12)\/21 - (-1)\/2). Let y be 8\/u - (-40)\/28. Put -2, 5, y, b in decreasing order.\nAnswer: 5, y, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4481 a factor of 914800631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 17*c**2 + c + 1. Calculate j(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 133402 (c) -6 (d) 1\/2 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 - 2*c**2 - c**2 - c**2 + 540 - 540 + (c**2 + 0 + 0)*(0 + 0 + 2) - 9*c**2 + 3*c**2 - 4*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 4*b + 24, -64*b = 5*v - 68*b - 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 8*t + 23*t = 8. Let d(r) be the first derivative of 8\/5*r + 10 - 2\/5*r**3 + 1\/10*r**t + 0*r**2. Find w, given that d(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146152220 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**5\/35 - 5*y**4\/7 - 23*y**3\/7 - 2*y**2\/7 + 92*y\/7 + 639. Factor a(z).\nAnswer: (z - 23)*(z - 1)*(z + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -94, -66, -4, 104, 270, 506?\n\"Answer: 2*t**3 - t**2 - 5*t - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15011 + 1b8?\nAnswer: 151c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(209) + sqrt(209)*3 - sqrt(209) - sqrt(209))*-1)\/(3*sqrt(11)*-3).\nAnswer: -3 + 2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**3*r**6 - 6*d**3*r**4 + d**3*r - 30*d*r**2 wrt r.\nAnswer: 1800*d**3*r**3 - 144*d**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16, 52, 150, 340, 652, 1116, 1762, 2620?\n\"Answer: 5*q**3 + q**2 - 2*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -75.5 (c) 0 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 22*t**2 - 51. Let f(l) = -l + 44. Calculate w(f(q)).\nAnswer: 22*q**2 - 1936*q + 42541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3*c + 2*c)*(2*c - 4*c + 0*c) + 28*c**2 + 35*c**2 - 2 - 54*c**2 - 48*c.\nAnswer: 13*c**2 - 48*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 10. Let l = c + -12. Let v = 2 - l. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*t - 5 = 0. Let q = -33 + 17. Let z = t - q. Calculate the greatest common divisor of z and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/5, 375, -3946, 1\/9.\nAnswer: -3946, -3\/5, -1\/3, 1\/9, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 + 11*x**2\/2 - 19*x - 6. Let p be i(8). Find the second derivative of -z - p*z**2 - 10*z - 8*z**2 - 2*z**2 wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 13*v + 4*v - 20*v.\nAnswer: -31*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:10 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -10a4?\nAnswer: 10a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 108*f - 107*f - 26 = 0, 12 = -3*f. Is 3 a factor of l\/(-4)*(-29 - -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27522 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57747035.6 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5730 and 7258764.\nAnswer: 36293820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -37.49 and -374066990.9.\nAnswer: -374067028.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 788466005 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 933 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 728880 and 4.\nAnswer: 2915520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 350 = -111*r + 64*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*u**4 - 4*u**4 + 10 - 4 wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -20*p + 63. What is i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4599104901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96037 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + (-4)\/38 + (-23765)\/1843?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -175, -243, -295, -325, -327?\n\"Answer: z**3 - z**2 - 82*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-1 + -21 - -28) + 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 618 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -14. Suppose -l = 2*n - 4*n. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 6:56 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 2*j**4 + 3*j**4 - j**4 + 2*j**5.\nAnswer: 2*j**4*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -14 + 13 + 4161. Calculate the greatest common divisor of t and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5665 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwhwlllwlwhwhhw. Give prob of sequence hw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -72*g - 5. Let b(d) = -66*d - 6. Give 3*b(z) - 4*x(z).\nAnswer: 90*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/77 and 25\/1211.\nAnswer: 13321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 961*i + 28029. What is b(-29)?\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**2 + 3*l - 11 + 0*l**2 + 9*l**2)*(-2*l + l + 5*l).\nAnswer: -4*l**3 + 12*l**2 - 44*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 1 = -5. Let l = -1 - o. Is 0 - (-6 + l) - 1 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2*3\/(-12)*26. Suppose 9*a + 30128 = s*a. Is (-1)\/(4\/(-6)) - a\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337577770 != 337577772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 57479*z**2. Let y(m) = m**2. What is d(y(h))?\nAnswer: 57479*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 78043.57 days?\nAnswer: 6742964448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -999 - -2110. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -246\/7 + 4695\/133. Is t <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 494160073 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -19. Suppose -5*u = -2*u + q. Let o = -6 - u. Solve 2*h = 4*z + o + 7, h + 4 = -3*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 10. Suppose 4*p - 107 = -11. Suppose -o*t + p = -1. Let k(y) = -y**2 + 6*y - 7. Determine k(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 32. Calculate the greatest common factor of u and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14458*k**3 - 1054*k**2 - 24805815 wrt k?\nAnswer: 43374*k**2 - 2108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.075 + 4.925. What is the third smallest value in 1\/7, -11.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-16 - (-7 - -7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 4*m + 3*m)*(0*m - m**4 + 0*m) + (0*m**3 + 0*m**3 + m**4)*(m + 2*m - 6*m).\nAnswer: -5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -391 - -305.5. Let v = p - -85. What is the fourth smallest value in v, -1, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3974.4 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 346 = -7*c - 31. What is the greatest common divisor of c and 1687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 3*d = o + 31, -3*o - 38 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -0.72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r - 6306 = 56*r - 3400 - 4334 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 47115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26, 23, -0.11, 2\/31?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 564\/(-399) + (3 - 1). Let s = d + -3\/19. Sort s, -4, 4 in increasing order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671865 is divided by 106?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.8353 - -4.0353. Let u = -7 + 2. What is the third biggest value in -15, -2, j, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 21 - 0. Suppose -14*v = -7709 + 7233. What is the remainder when v is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 66. Let n = m + 21. Suppose n*j - 3*j - 78 = 0. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7875 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 + -72. Calculate the remainder when 125 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/132 and 99\/26.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose 0*r = v*r - 3. Suppose -r = i - 3. Solve k + i*k + 12 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - w**2 + 4*w + 5. What is the remainder when 4 is divided by x(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 10:26 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:57 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*r - 18 = 4*f, -3*f + 19 = 5*r. Suppose -2*w + r*p + 110 = 0, 2*w + p = -0*p + 110. Calculate the highest common factor of 11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p*p*p\/((p\/p**1)\/p*p))\/p))**(-40)\/((p\/(p\/p**(1\/8))*p)\/p**(-1)))**(-5\/7) assuming p is positive.\nAnswer: p**(-445\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*g + 6498 - 10442 = 0 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1610)\/6 - 1)\/(28\/21 - 2). Are p and 403 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -d - 6. Let s be (d\/(-15))\/(4\/(-30)). Find the first derivative of -1 - 3 + s*q**4 - 1 + 2 wrt q.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 68 + 66 - 1030*j**3.\nAnswer: -1030*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 918 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 w be (-1 + (-3)\/(-6))*0. Suppose w = -j + 5*j - 24. Solve j*t - 3*t = 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9999993 - 7. Round z to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*x**4 + 2)*(-267 - 1654 - 270).\nAnswer: -8764*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 33?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*g - 24 = 38*g, 3*g + 12 = 3*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10495 - 5*z - 10495.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -321*o**5 - 771*o**4 - 258*o**3.\nAnswer: -3*o**3*(o + 2)*(107*o + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5517044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/418)\/(8979\/(-341202))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 2. Suppose 0 = 36*k - 35*k + 3. Let g(n) = 1. Let x(c) = k*w(c) - 7*g(c). Let l(o) = 2*o. Give -2*l(v) + 2*x(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 2*y. Suppose -y*g = -11 + 19. Find the common denominator of 0\/4 - 85\/g and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 2*c**2 + 2*c + 4. Let k be h(4). Let d = k - -36. Calculate the least common multiple of 4 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.193 + -2.193. What is the closest to -9 in 1.7, o, 0, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m + 4*m + 14*m)*(4 + m - 1 - 1).\nAnswer: 8*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2457, 2456, 2455?\nAnswer: 2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 21*n**2 + 0 + 0*n + 0*n**3 - 1\/8*n**4. Let g(t) = -5*t. Give j(g(c)).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 660 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -2, 1, 63577?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1140 = -6*u. What is the units digit of 1\/(2 - u\/116)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h. Let b(p) be the second derivative of 7*p**3\/2 + 24*p. Calculate o(b(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * -23.2\nAnswer: 1.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 2*x - 32*x**2 + 56 + x**2 - 2*x.\nAnswer: -31*x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**2 - 7*o - 23. Let f be u(-3). Which is bigger: 37 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-50)\/52)\/((-48)\/3). Let k = t + 30163\/1248. Calculate the common denominator of k and 46\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-15)\/(-5)))\/((-4)\/(-7)*198\/(-88))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/6)\/((-2)\/(-48)). Let t be (-3)\/g - (-50)\/8. What is the units digit of (-3)\/(-2) - (-15)\/t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.4 + -50.6. Let u = 6.7 - 7. What is the nearest to -2.3 in h, -1\/2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - 0.25. Let p(a) = -6*a**2 + 2*a + 7. Let s(t) = -5*t**2 + t + 7. Let d(f) = -3*p(f) + 4*s(f). Let g be d(2). What is the closest to b in 8, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -45*s + 4. Let i(b) = -44*b + 3. Give -5*i(c) + 4*m(c).\nAnswer: 40*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (294\/(-56))\/(15\/(-46660)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 38, 43, 38, 17, -26, -97?\n\"Answer: -n**3 + n**2 + 9*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.1891t in grams?\nAnswer: 994189100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (293 - (5 - 2)) + -6. What is the lowest common multiple of 128 and (6\/9)\/(p\/(-72) + 4)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10588774 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42 and 23\/147.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 439*p**9\/126 - 2*p**5 + p**2 - 1069*p. Find the third derivative of d(t) wrt t.\nAnswer: 210720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114480864 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 206.86861\nAnswer: -3723.63498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145274995?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 13*l**2 + 12*l + 1. Let x be m(-12). Let z be (-1 - x) + 2 - -2. Suppose -5*i + 4 + 32 = p, z*i = 2*p + 12. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a + 17. Let d be c(7). Let v = 2 + d. What is the remainder when v is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -10, -3, 17 in decreasing order.\nAnswer: 17, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldlldd. What is prob of sequence ldld?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117201.4593 + 116564.06. Let t = -638 - r. Let u = t - -0.6. What is u rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 302*o - 664. Let m(i) = 2*i + 38. Let b(w) = -10*m(w) - n(w). Solve b(r) = 0.\nAnswer: -1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*h = -1415, -2*h = 106*s - 111*s + 2367. What is the remainder when s is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**1)\/y)**(-3\/10)\/(y**(-6\/7)*y**(-2\/5)\/y))**25 assuming y is positive.\nAnswer: y**(290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 12*m**2 + 12*m + 1. Let i be 14\/32*-1*4*4. Let o be p(i). Suppose o = 10*r - r. What is the remainder when 52 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 513, 512, 511, 510?\n\"Answer: -p + 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18*m**2 + m. Is d(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1831317 (base 9) to base 3\nAnswer: -1221001100121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(162)*1)\/sqrt(6) + (sqrt(27) - (0 + sqrt(243))))**2 + 2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*g + 56136 = -f, -2*f + g = -28054. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 7 + 6*f**2 - 5\/8*f**4 + 1\/8*f**6 + 3*f**3 + 3\/35*f**7 - 3\/5*f**5 + 0*f. Let y(j) = 0. What is j?\nAnswer: -3\/2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 47. Suppose 0 = 3*x + 4 + 2. Which is the second smallest value? (a) 7 (b) w (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.524 minus 101265?\nAnswer: -101272.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 - -0.007783\nAnswer: -0.072217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/20*(33\/22)\/(126\/280)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 0.6. Let p = v + -1.9. Which is the biggest value? (a) 0.02 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-1\/4))**42\/(w**(-9))**(2\/37) assuming w is positive.\nAnswer: w**(5475\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:20 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - s - s + (2 + 2 - 2)*(3*s - 2*s + s) - s + 2 - 2 + 2*s + 0 + 0 + (2*s + 2*s - 5*s)*(-3 + 3 + 3) + 5*s - 10*s - 5*s.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 1126.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spj when three letters picked without replacement from jpjpjsjpkkspkh.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3 + 10051*f**2 - 3351*f**2 - 3347*f**2 - f - 3352*f**2. What is r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3726200 divided by 186310\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-3))\/4)\/((-2)\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/77 - (-34)\/55. Let f = 0.95 + 0.05. Which is the closest to f? (a) t (b) -1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(1\/(-18)). Suppose 5*s + 7 = k, 4*k - 4 = -2*s + k. Let u be ((-1)\/s)\/(3\/i). Which is the third smallest value? (a) u (b) -1\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 797123350 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1*-1)*(-185)\/37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/5)\/7)\/(13\/((-390)\/24)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -389, -798, -1207, -1616?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-2 - -3) - -2. Let m be (-6)\/(-2) - (w - 2). Suppose 4*c = -16, 5*a = -6*c + 10*c + 21. Solve m*n + 3 = -a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.71 - -1.9. Let x = -0.19 + b. Let t = -53 + 52.8. What is the nearest to -4 in t, x, -2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.8 + 1.2. Let p = 3 - c. Which is bigger: p or 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2002 + 1984. Sort 8\/5, 0, t in decreasing order.\nAnswer: 8\/5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**2 - 22*t - 21838 - 7*t**2 + 3*t**3 + 21848. Let a be g(7). Solve 5*w + 5 = 2*o - 7*o, 2*o + w - a = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2831 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -25*k + 6*k + 12*k + 5*k + 22. Let a be m(10). Suppose -83 = -a*u + 19. Calculate the remainder when u is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjuuoocoocoujoo. What is prob of sequence uu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*3\/((-9)\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 408 - 275. What is the remainder when x is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 6960635*s - 13921290.\nAnswer: 5*(s - 2)*(s + 1392129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 9*s**2 - 10. Give w(-10).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 216*k**2 + 1 + 164*k**2 - 3*k - 382*k**2 - k**3. Determine w(3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 845852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 8*o**2 + 5. Let f be y(-8). Let v be -1*(f\/3 - 1). Which is the biggest value? (a) -0.7 (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -482670.2 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -16*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 3\/41, 1 in ascending order.\nAnswer: -3\/7, 3\/41, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4182 - -141.\nAnswer: -4041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.54198 millimeters in micrometers?\nAnswer: 26541.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(6)\/(sqrt(2)*2) + (sqrt(900)\/sqrt(12))**2 - ((sqrt(144)*4)\/sqrt(6))\/sqrt(8)).\nAnswer: -375 + 35*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2873*a**4*y - 208*a**3*y**2 + 2402*a*y**2 - 2*a*y + 7*y**2 + 37*y wrt a.\nAnswer: -34476*a**2*y - 1248*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(20)\/sqrt(4))**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-10))\/((-21)\/(-30))*-2. Factor 8\/7*k + q*k**3 - 12\/7*k**2 - 2\/7*k**4 - 2\/7.\nAnswer: -2*(k - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8542557.\nAnswer: 3, 316391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*x - 13*x + 18*x - 4*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-33) + (-44795)\/3179\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140630945 to the nearest integer?\nAnswer: 11859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3190572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 3*y - 254. Calculate the remainder when 43 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a factor of 63229496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24086*r**2 - 14903*r wrt r?\nAnswer: 48172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 2. Let d be o(5). What is the units digit of 2\/d - 29\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dptadjjkjjdj. Give prob of sequence ad.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e3 + -66?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689626823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, s: 1, e: 2, h: 1, n: 4, x: 1}. Give prob of picking 1 x and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -144*a + 200. Let l(h) = -h**2 + 12*h + 8. Let n be l(8). Let b(m) = 11*m - 15. Let k(o) = n*b(o) + 3*c(o). Let v(w) = 11*w**2. What is k(v(i))?\nAnswer: 88*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - v**2 + 4673*v + 1 - 2*v**3 - 9344*v + 4674*v - 5 in the form l*v + f + h*v**3 + o*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -119 + 35. Let o be (-3 - 32\/(-10)) + x\/10. Solve -10 = -5*d + o*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -17. What is the remainder when 11 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*k - 97*k - 17*k + 15.\nAnswer: -2*k + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 13.3. Let k = 31852 - 31852.4. Which is the biggest value? (a) 0.5 (b) s (c) 16 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82576\/3 + 27525. Put u, -0.02, -1\/8, -3 in decreasing order.\nAnswer: -0.02, -1\/8, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 2*q**2 + 17*q**2)*((-3*q + q + 0*q)*(-1 - 3 + 0) - 3*q + 5*q - 4*q + (2 - 4 + 3)*(4 - 4 + 3*q)).\nAnswer: 135*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiikeokikkikk. Give prob of picking 1 i, 1 e, 1 k, and 1 o.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 6*r + 90. Determine w(0).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20970\/(-132810) - 4\/95. Let y = 0.8 - -2.2. Which is the second biggest value? (a) -8 (b) f (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 27*l**2 + 7*l - 87. Let n be p(27). What is the remainder when 253 is divided by (-94)\/(-141)*n\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39210 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 5 = 0. What is the third derivative of 2*d**2 + 2*d**2 + 3*d**6 + h*d**2 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*b + 302 - 302 - 420*b + 8*b**2 - 9*b**2.\nAnswer: -b**2 - 728*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j = 0. Let s = 0.056 - -37.944. Let g = s + -38.3. Which is the nearest to 2\/7? (a) j (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 19*f**2 - 17*f + 20. Let v be l(-18). Suppose t = v*c + 36, -t + 169 = 3*t - 3*c. Does 45 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -134*p + 4*p**2 + 134*p + 134*p**2. Let v(b) = 10*b - 12. Let t(x) = -8*x + 10. Let f(a) = -6*t(a) - 5*v(a). Give q(f(i)).\nAnswer: 552*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b + 89901 - 313213. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182999?\nAnswer: 182999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -10. Let g = c - 24. Let t = -12.99965 - g. What is t rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 - 8*g. Let c = -10 + 14. Let t be o(c). Suppose t = -q + 471 + 584. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*x = -13*x + 40. Let j be (2\/2)\/(x*3\/(-6)). Which is the closest to 0? (a) j (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**2 + 24*b**2 - 2*b - 84*b**2 + 30*b**2.\nAnswer: -10*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -22*g**2. Suppose 0 = 17*r - 22*r. Suppose 3*p + 3*p - 24 = r. Let l(n) = n - 5*n - p*n + 5*n. Determine l(c(w)).\nAnswer: 66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*n**2*o**3 - 54*n**2*t - 2*o**3*t + 4*o**3 - 3*t wrt t.\nAnswer: -54*n**2 - 2*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*f**3 + 6*f**2 + 1 + 3*f**2 - 15*f**2 + 6*f**2.\nAnswer: -129*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/(5\/(-10)). Let p be w\/4 - 306\/(-8). Is 16 a factor of (p - 1)\/(1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37603.48012 - -37632.1. Let t = -28.56 + n. Let c = -0.06 + t. What is c rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zusjssbbjpjsuzbsjsb. Give prob of picking 1 p and 1 b.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-9) - -2)\/(13\/117).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6460 is divided by 132.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 59*m - 715. Give f(14).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 - 4*f - 22. Let g be (2 - 4)*((-6 - -1) + 0). What is c(g)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7929*w**5 - 13*w**4 - 3*w**3 - 3*w**2 + 381*w - 58?\nAnswer: 475740*w**2 - 312*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000248833 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 4*a - y - 7, -y = -4*a + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 5. Let n(i) = 2*i**3 - 14*i**2 + 27*i - 186. Let u be n(7). Let m(r) = -4*r + 4. Determine u*j(b) + 4*m(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 6:05 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -2*c - 6, 4*c - 5*n + 6 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1215\/(-75)*10\/(-6). Let c(a) = a**2 + 5*a + 3. Let k be c(-5). Solve 0 = 2*s + 2*s - k*g + 7, 3*s + 5*g + j = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Let u(z) = 2*z - 4. Let v be u(l). Find the third derivative of v*j**2 - 2*j**2 - j**2 - 2*j**4 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/(2\/9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (344\/(-3) + 0)*(-276)\/184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110000101100 - -1?\nAnswer: 110110000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14338496*g**4 + 11091944*g wrt g?\nAnswer: 172061952*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.376228 - 491.\nAnswer: -496.376228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i - 19. Let g(l) = -27*l - 39. Let d(o) = -6*g(o) + 13*q(o). Let h be d(-2). Let c(j) = 68*j**2 + j + 2. What are the prime factors of c(h)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -3. Let z be 3267\/60 + (-5)\/25. Let q = z + -55. Which is the closest to 1? (a) v (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*w - 150*w + 13*w**2 - 143*w.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = 27*h - 48 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-45))\/(3\/((-6)\/2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*o + 163, -80 = -2*r - 2*o + 2. Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -168, -169, -170?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 + -142. Let u = -18 - x. Let v = 46 - u. Sort -0.5, v, 3, 1\/3.\nAnswer: -0.5, 1\/3, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 18, -2, 5 in descending order.\nAnswer: 18, 5, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -246*t + 87079. Give r(354).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3)\/(-42) - (-1)\/(-11). Let s = 3 + -3. Which is the closest to s? (a) -5\/3 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154171183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000037859 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/146610 and -35\/557118?\nAnswer: 2785590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 18, 1 in increasing order.\nAnswer: -4, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2574 + -2529. What is the smallest common multiple of y and 1270?\nAnswer: 11430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c)**(-1\/10)\/((c\/(c**(-9)*c))\/(c*c*c**(-3\/2)*c))*((c\/(c**(1\/3)*c))\/(c*c**(5\/4)))**(-26) assuming c is positive.\nAnswer: c**(1793\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 904, 1817, 2752, 3721, 4736?\nAnswer: 5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.027 + 0.027. Which is the fourth smallest value? (a) 1 (b) -3 (c) q (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34795 is divided by 243.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) 34467594 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h\/(h*h\/(h\/(h*h**(-6)))))\/h)\/h)\/h)\/h*h*h**(-5)*(h**27*h)\/(h**(-15\/2)\/h*h) assuming h is positive.\nAnswer: h**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 7:30 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -6 - 4) + 9. Solve -s*z = -8*z + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-459)\/(-272)) - 404\/24.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**2 - 3*z - 2. Is 11 a factor of s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 19 = 4*z + 14*j, 0 = 3*z + 5*j - 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + 2*s - 1. Let l be c(1). Let k = 44 - 40. Let y(a) = -2*a - k*a + l*a. Let q(b) = -b**2. Determine y(q(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90177 - 280089731\/3106. Find the common denominator of q and -37\/3.\nAnswer: 9318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 1. Let i be u(3). Let k(h) = h + 15 + 0*h + 33 - i*h. Does 22 divide k(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 950*q + 3883. Let h be z(-4). Solve -94*a + h*a = 88 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.9 - 4.9. Let b = -30 - -808\/27. What is the third smallest value in t, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 2 - 11 - 5*h**2 + h**2 - 16*h = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6.1. Let u = 0.4 - -4.6. Which is the closest to 1? (a) o (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.06 - -13. Which is the third biggest value? (a) u (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-99)*-3*(-6)\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2500 + 4148. What is the remainder when f is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*x - 4*v, 5*v + 13 = -11*x + 226 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x + 1. Let l(p) = 3*p**4 - 3*p**3 - 6*p**2 + 6*p + 3. Let g(h) = l(h) - 3*u(h). Determine o, given that g(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.1 - -46. Let u = 0.01 + 0.29. Let x = 0.5 - u. Sort x, -1\/8, z in descending order.\nAnswer: x, z, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*i = -f + 18, -3*f - 9 = -5*i. Let 0*l**f + 0*l**2 - 12*l - 3*l**2 + 36 = 0. What is l?\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -522*z**2 - 3*z - 5. Let o(p) = 521*p**2 + 3*p + 4. Give 4*i(s) + 5*o(s).\nAnswer: 517*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbxbxbxxxxbbbbbxxxb. Give prob of sequence bb.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(19) + sqrt(684) + -4))**2 - sqrt(19) - sqrt(19) - 3*sqrt(95)\/sqrt(5).\nAnswer: -53*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17225, -34686, -52385, -70322, -88497, -106910, -125561?\nAnswer: -144450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 8*o + 1. Let h be c(-7). Let k(v) = -v**2 - v + 1. Let u be k(h). Let q = -30 - u. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2) + (-2 - -1). Suppose 5*x = -5*m + 3*x + 131, -3*m = -x - 83. Let a be b\/(-1)*(-2)\/m. Is 0 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16754 - 16756. What is the third smallest value in 5, -0.7, 0.004, s, -3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.52770313 and -172.\nAnswer: -187.52770313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {m: 9, i: 2, q: 1, k: 3, n: 3, l: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5978, -47846, -161478, -382754, -747554, -1291758?\n\"Answer: -5980*p**3 - 2*p**2 - 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251 - 1085 = -155*b + 1454 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -104, -93, -68, -23?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 228951, 228944, 228935, 228924?\n\"Answer: -o**2 - 4*o + 228956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = x - 16, -4*x - n = -3*n - 34. Let w = -31 + 15. Let y = x + w. Let k(f) = 2*f + 6. Give k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -603 - -223?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 1 + 1 + (-4 + f**2 + 4)*(-f**2 + 3*f**2 - 3*f**2) + (f - 5*f + f)*(-3*f**3 - 3*f**3 + f**3) as d + b*f**4 + u*f**2 + k*f + h*f**3 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 0*m**2 - 4*m**2)*(-2 - 1 + 0)*(3*m + 3*m - 2*m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/3 + -1)*3. Suppose 5*s + 3*h - 50 = 0, 5*h + 4 = -2*s + 24. Let x = -5 + s. Sort 2\/3, v, x.\nAnswer: 2\/3, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.88 - -18.88. Let w = 16 - a. Let r = w - 2. What is the second biggest value in -0.3, r, 2\/3, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**7\/945 + 11*t**6\/180 - 17*t**5\/18 + 575*t**4\/108 + 59*t**2 + 19. Factor n(j).\nAnswer: -2*j*(j - 23)*(j - 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(84)*5 - sqrt(84) - sqrt(84)) + sqrt(84))\/(sqrt(24)\/sqrt(2)*5))**2 - (sqrt(756)\/(sqrt(1200) + -2*sqrt(1200)))**2.\nAnswer: 133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 24*r + 19*r - 132 + r + 32*r - r**2 - 12*r. What is b(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 2411, 3530, 4643, 5750, 6851, 7946?\nAnswer: 9035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3337578 and 0.11?\nAnswer: 3337578.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6019*q**2 - 12032*q**2 + 2*q**3 + 6013*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 217940.\nAnswer: 653820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = h - 4, -4*h + 1396 = 2*q + 1386 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253*d**3*v**2 + 5864*d**3*v - 2990743*d**2*v**2 wrt d?\nAnswer: 1518*v**2 + 35184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let l(u) = 5*u - 1. What is 2*h(w) + l(w)?\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (315\/10 + -1)\/(2\/16). Let p = j - -372. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 7. Let k be q(-6). Suppose -3*h = 4*a + h + 204, 0 = -5*a + k*h - 245. Let l be (-4)\/14 - a\/28. What is the second biggest value in 3, l, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, p: 1, n: 1, t: 1}. What is prob of sequence gd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 - b - 1. Let w be c(-1). Let m = -7 + w. Sort m, -5, 4 in descending order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/4 - 5*h**3\/3 - 11*h**2\/2 - 2*h + 3. What is the tens digit of s(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 24*p = 52*p + 86*p. Solve p = -3*k + 1594 - 1600 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 84976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0972 and -0.7.\nAnswer: -0.7972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3348200 divided by -4.\nAnswer: -837050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 6*w = 126, -2*i - 42*w + 39*w = -68 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 39, 68, 111, 174, 263, 384?\n\"Answer: r**3 - 2*r**2 + 20*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/7 - (-4)\/(-14). Let s = -23 - -13. Let o = -9 - s. What is the second smallest value in u, o, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2. Let k(j) = 634*j + 1. Determine k(r(h)).\nAnswer: -634*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 297204*m*p - 10564*m - 2*p - 34 wrt p?\nAnswer: 297204*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 20812?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*m - 25 = -17, -5*m = -k + 14. Solve k*c + 8 + 12 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**3 + 2*b**2 - 213*b**4 - 211*b**4 + 7*b - b**5 - 211*b**4 + 3 + 630*b**4.\nAnswer: -(b - 1)*(b + 1)**3*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 1. Let g be v(6). Let t = -43.5 + 44. Let z = 0 + 0.1. Which is the nearest to z? (a) g (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5))**(3\/14)\/(b**(1\/7))**(-28) assuming b is positive.\nAnswer: b**(283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 302566 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2. Let s(c) be the first derivative of c**4\/24 + 8*c**2 + 9. Let y(k) be the second derivative of s(k). Determine d(y(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:57 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8914 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-4 + 2 - -4). Let h be 0\/2 - g\/((-2)\/1). Is (-6 + 3 - h) + 889 - -2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/15) + (18 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-84)\/21*2\/(-40). What is the closest to -1 in i, -3, -13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (8 - (6 + 78)) + -142 + 156?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3248)\/120 + 2\/5)*-6. What is the highest common factor of f and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f**2 - 27*f**2 - 2 + 23*f + 9*f**2)*(f + 1 - 1).\nAnswer: -2*f**3 + 23*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 10*z\/3 + 25\/3.\nAnswer: (z + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14803.6 litres?\nAnswer: 14803600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q - 7. Let u be w(5). Suppose -4*b + b = 21. Let o be b\/((-28)\/12)*1. Solve -u = -o*j + 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y - 3. Let g be o(3). Let z(f) = -31*f**3 - 1. Let n be z(-1). Suppose 0 = 5*i - 0*i - n. Calculate the highest common factor of g and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -6. Suppose 89 = 3*h + u, 2*h - 3*h - g*u + 38 = 0. Let b = -1 + 8. What is the highest common divisor of b and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66688078.\nAnswer: 2, 101, 330139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 2*t**2 - 163*t - 982. Give a(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.474 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87\/2 of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - n**2 + 0 + (-4*n - n + 3*n)*(0*n + n - 4*n) + (2*n - 1 + 1)*(4*n + 9*n - 7*n) in the form u*n**2 + d + r*n and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 2*t + 2. Let m be h(-3). Let s be (-38)\/(-10) - 3*(18 - 16). Which is smaller: m or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 83\/3. Solve k*q**4 - 2\/3*q + 2\/3*q**3 - 2\/3*q**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127580427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55002503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1212 + -1207. Put 3, k, -344 in decreasing order.\nAnswer: k, 3, -344","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = -5*v. Let s be v\/4*-2 - -4. Solve 25 = 2*i - s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/(-504))\/(44290\/(-3296)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17710 is divided by 591?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/7, 1\/8, -2, -18?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.625 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 18\/(-36)*(-356)\/2. Solve v*b - 50*b = 306 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**(1\/49)\/(j\/(j\/(j*j**(2\/25)))*(j\/(j\/j**5))\/j) assuming j is positive.\nAnswer: j**(-6348\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2388)\/398*2\/(-198)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyob when four letters picked without replacement from {n: 6, b: 3, y: 3, o: 4, d: 2, w: 1}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 30*o**3 + 12*o**3.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**2 - 3*c + 2. Let b be q(2). Suppose -2 = 2*w, 3*w = -3*p + 8 + 19. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-5)*100\/8. Let a(w) = w**2 - 20*w + 71. Let n be a(16). Suppose 13*i + 46 - n = 0. Sort 3, l, i in descending order.\nAnswer: l, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10)\/(-4)*2\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -46334436939 and -5.\nAnswer: -46334436944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - ((62 - 55) + -14).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1054\/4 + (-13)\/26. Let f = -265 + b. Sort f, 7, -19 in descending order.\nAnswer: 7, f, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of 3*n**7\/14 - 2*n**6 + 15*n**5\/2 - 15*n**4 + 35*n**3\/2 - 12*n**2 + n + 2. Determine q, given that j(q) = 0.\nAnswer: 1, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -68, -199, -396, -665, -1012, -1443?\n\"Answer: -o**3 - 27*o**2 - 43*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 7*a - 7. Let i(s) = s**3 + 2*s**2 + s + 1. Let r be i(-3). What are the prime factors of p(r)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 3*z - 11. Give f(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*w + 10*w - 4*k + 4, 0 = 2*w + 3*k - 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-13)\/6)\/(2\/(-15)) and 107\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 16. Let w be u(7). Suppose w*d - 17 - 27 = 0. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*a + 20. Let y be (-1437)\/(-27) - 2\/9. Suppose 0 = -5*t + y - 3. What is the least common multiple of a and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4604*n**3 + 4*n**2 + 3*n - 7. Is c(1) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111, -299, -567, -909, -1319, -1791?\n\"Answer: h**3 - 46*h**2 - 57*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**2 + 2. Let m(w) = 9*w**2 + 3. Let f(b) = -7*b**2 - 2. Let g(k) = -3*f(k) - 2*m(k). Calculate d(g(o)).\nAnswer: 63*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 11769*q**2 - 605*q - 2. Let h(j) = j. Give z(h(p)).\nAnswer: 11769*p**2 - 605*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 2*j**4\/3 + 3*j - 22. Let x(z) = 49*z. Calculate v(x(m)).\nAnswer: 19208*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173397.437 - 173302. Round j to 0 decimal places.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1838517 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -88 in decreasing order.\nAnswer: -1, -27, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2691 - -2674.16. What is t rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 31\/359, -1, 14125, 1?\nAnswer: 31\/359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 893.163t to micrograms.\nAnswer: 893163000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 13*i + 47. Let z be a(-6). Suppose 3*u = -4*y + 1744, 7*y - 2145 = 2*y + z*u. List the prime factors of y.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-118)\/(-3) - (-40)\/(-30). Let y = g - 36. Suppose -y*p + 7 = -p. Let m(c) = c**3 - 8*c**2 + 7*c + 10. Give m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9755, 9771, 9811, 9887, 10011, 10195, 10451?\n\"Answer: 2*i**3 + 2*i + 9751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6371, -25476, -57329, -101936, -159303, -229436?\n\"Answer: -s**3 - 6368*s**2 + 6*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 63682.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u. Suppose 5*g + 3 - 13 = u. Suppose g*a + 2*a - 17 = -3*r, -2*r + 23 = 5*a. Solve 8 = 2*f + a*q, -f - 4*q + 9 = q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t + 4*r, 2*t + 0*t - 2 = -r. Let d = 3 - t. Solve -1 = -z + d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11411 (base 7) in base 16?\nAnswer: -b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b56205 + 3?\nAnswer: 8b56208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212 - -211.99814. Round y to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1053) + -5)**2*1 - ((sqrt(1053)*2*-2 + sqrt(1053))*3)**2.\nAnswer: -81056 - 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepekems. Give prob of picking 1 e and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**5 + 24*a**4 - 878*a?\nAnswer: -80*a**3 + 288*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 + b**2 + 11. Let h(k) = -7*k**3 + 2*k**2 + 23. Let i(c) = 3*h(c) - 5*p(c). Let m be (-2)\/(-8) + (-1)\/4. What is the units digit of i(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.06 - -0.06. Let u = 0 + r. Which is smaller: u or -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -5*u, 2*t = u + 3*t + 3. Suppose k - u = 2. Solve 4*p + 0*n - n - 13 = 0, n = p - k for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-35)*(-68)\/612 - (-4)\/60. Let -p*i**3 + 0 + 3\/7*i**2 - 2\/7*i = 0. What is i?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r + 5. Let b be (-4 - -10)\/(-6)*(-1)\/(-1). Let d be j(b). Put d, -2, -5 in ascending order.\nAnswer: d, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.893815 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2 - 26*c - 1121. Let n be t(-43). Calculate the greatest common divisor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5720.975*-150.\nAnswer: -858146.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > -60\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*4\/(-5). Let m(u) = -6*u**3 - 4*u**2 - 3*u. Is m(j) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -554 - -555.2. Which is the fourth biggest value? (a) 0.4 (b) 0.3 (c) 1\/2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 4, u: 1, l: 2, i: 2}. What is prob of sequence uji?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g**4 - 23*g**3 + 57*g**2\/2 - 57*g\/4 + 5\/2 = 0. Calculate g.\nAnswer: 1\/2, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/65 and 61\/39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104578.\nAnswer: 2, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + -13 + 25 + 1 + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/13)*(x**(-11\/4)*x)\/x*x*(x*x*x\/x**22*x*x)\/(x\/(x\/x**(-4\/3))) assuming x is positive.\nAnswer: x**(-2645\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+3654816\nAnswer: 3654816.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwov when four letters picked without replacement from vvvvvvovvwvvv?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.20946 meters in micrometers?\nAnswer: 50209460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 6*d**2 + 6*d. Let c(w) = -w**2 + 2*w + 6. Let o be c(3). Suppose 0 = -o*x - 3*n - 21, 0*x + 3*n + 17 = -2*x. Give r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 10. Is 4 a factor of g\/4 + (-17)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-9) - 6\/27. Suppose 4*y - 85 = -x, 0*x + s*x + 103 = 5*y. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -b**3\/2 + b + 31. Let v(f) = -8*f + 1. Let p(s) = -s + 1. Let a(c) = p(c) - v(c). Calculate a(w(l)).\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 37*b - 2. Let m(l) be the first derivative of l**4\/6 - 119*l + 97. Let a(p) be the first derivative of m(p). Give g(a(u)).\nAnswer: 74*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 7693?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 1082856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 25738\/10695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((138\/230)\/(45\/100))\/4*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.161, 2\/23, -207.4 in decreasing order.\nAnswer: 2\/23, -0.161, -207.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 5 + -1. Suppose -3*k + 8*k - 10 = 0, 2*y = -q*k + 2. Let i be 18\/2 + y + 3. What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27580, -27705, -27824, -27937?\n\"Answer: 3*a**2 - 134*a - 27449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2324412 divided by -258268.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (3 - -1 - -4) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 3460, 8838, 16364, 26038?\nAnswer: 37860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14400 = -197*c + 20981 + 39320. Calculate the remainder when 825 is divided by c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 30. Let g be b(15). Let v be ((g + 1)*-2)\/(-1). What is the third derivative of -21*z**6 + 442*z**v + z**3 - 443*z**2 - z**3 wrt z?\nAnswer: -2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-4))\/((-2)\/8). Suppose 4 + 4 = 4*o - v*n, o = 4*n + 17. Sort -1, o, 2.\nAnswer: o, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32948 times 319\nAnswer: 105.10412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/13 - 12*p\/13.\nAnswer: 2*p*(p - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1363 + 6318. What are the prime factors of q?\nAnswer: 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, m: 3, p: 1, o: 1, s: 2}. What is prob of picking 2 s and 1 c?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39231 - -73691. What is s rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5*z = 2512 - 2543, -4*q - 5*z + 13 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**3 + 604*t**2 + 2268*t - 12348 = 0?\nAnswer: -147, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 6. Let r(n) = -n**2 - n + 3. Let q be r(-4). Let l = 12 + q. Solve -3*b = 5*w, l*b - g*b = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -63 + (5 - -23) - -45. Let 5*s**2 - j - 5*s**3 + 35\/3*s - 5\/3*s**4 = 0. Calculate s.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/114 - 6187\/912. Let c = 41\/87 - 5113\/696. Let l = j - c. Find the common denominator of l and 79\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113*n**3*o**3*z - 211*n**2*o**3*z + 6*n*o**3*z - 2*n*o**2*z - 85*n*z - 5*o wrt n.\nAnswer: -678*n*o**3*z - 422*o**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let d(m) = m + 8. Let w(g) = -3. Let r(y) = -3*d(y) - 8*w(y). Calculate i(r(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 15324 + 15324.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241723813\/4604 - 52503. Are g and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 6, b: 1, o: 10}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 247420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let f(d) = d**2 - 4910*d - 1. What is u(f(i))?\nAnswer: -i**2 + 4910*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 135, 162, 187?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2188 (base 9) to base 16.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*(-8 - (-4 - -1))\/2. Put y, 4, -35 in ascending order.\nAnswer: -35, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = -0*u - 4*s, -2 = 4*u + 5*s. Let r(n) = -2 + 0 - 3*n + n**3 + n + 0*n**2 + 4*n**u. What is the units digit of r(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-110) + 732\/1342\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -118821*n + 475330. Calculate j(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -29. Suppose -h + 16 = -c*h + k, 2*h - 8 = 4*k. Let u(t) = -2*t + 4. What is u(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-4))\/(3*(-5)\/60). Let y(c) = 18*c - 7. Let u be y(t). Solve 8*q = u*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 974803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 3*h - 1. Let l be w(-4). Let r = 9 + l. Solve -2*t = 5*a + t + 22, 3*a + r = -3*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0.02 (b) -22\/3 (c) -0.1 (d) -6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -48803834, -97607666, -146411498, -195215330, -244019162, -292822994?\n\"Answer: -48803832*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 9:51 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 88.834 times -38\nAnswer: -3375.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**2 + 16*k + 3. Let g(c) = 2*c**2. Give m(g(i)).\nAnswer: 48*i**4 + 32*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4420 + 5165. Solve 11*d - 657 + z = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 84335 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148335555 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 839 - -363. What are the prime factors of f?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12054074 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(405) + sqrt(405))**2*-5*-1 + 0.\nAnswer: 180*sqrt(5) + 8105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:57 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 0*w + 15. Suppose w*a = a + 12. Is 8\/(-2 + a) - 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(192)*2*-4 - (sqrt(192) - (sqrt(192) + 0 + 5))) - 4*((sqrt(192) + -1)*1 + 5))**2.\nAnswer: 2688*sqrt(3) + 27844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b - 1)*(-1 + 8 + 6).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -676, -661, -630, -577, -496?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 + 0*o**2)*(-5*o + 2*o + 2*o) - o**3 + 2*o**2 - 2*o**2 + (-2*o**2 + o**2 + 2*o**2)*(70*o - 3 - 3*o - 21*o).\nAnswer: 43*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 o, and 1 y when three letters picked without replacement from gobbgfoyggggggygbgw?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 333, 9\/2729, 0.3 in descending order.\nAnswer: 333, 0.3, 9\/2729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -4, 17, 44, 77, 116?\n\"Answer: 3*b**2 + 6*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291.55147545 - 0.12089545. Let j = n + -48.44448. Let w = -243 + j. What is w rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520544 (base 9) in base 7?\nAnswer: 22114333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 16. Let l(z) = -2*z**3 + z**2 + 11*z + 10. Let b(v) = 3*v**3 - 2*v**2 - 17*v - 15. Let n(s) = 5*b(s) + 8*l(s). Is n(a) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 3. Let l(u) = -5*u + 7. Suppose 0 = 5*q + 4*z - 19 + 5, -10 = q + 4*z. Let p(g) = q*l(g) - 14*o(g). Calculate p(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.01, -1, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 207446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.892475 kilograms in milligrams?\nAnswer: 8892475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -3) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33745 (base 9) in base 16?\nAnswer: -57ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkskhkhkhkhkks. What is prob of sequence hhs?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**6\/10 - 13*y**5\/20 + 5*y**4\/3 - 43*y. Find the third derivative of h(j) wrt j.\nAnswer: 72*j - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5388*m**2*v + 50240*m**2 + 69111*m*v + 2295*m wrt m?\nAnswer: 10776*v + 100480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 - 275 = 17*z. Let d(c) be the third derivative of c**5\/15 + c**4\/24 - c**3\/6 - c**2. Let k(j) = j**2. What is z*d(r) - 6*k(r)?\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*o - 2 + 4 = 0, 3*o - 21 = 3*d. Let f be 2\/((-2 - -1)\/d). Suppose 0 = 4*t + f, -4*l + 6*t - 2*t + 372 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-60))\/(138\/(-115)). Which is the closest to 1? (a) -0.5 (b) o (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5077*y + 5073*y = 4*n + 144, -n + 2*y - 39 = 0 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - a = 30, -3*i + 4*a - 35 = 8*a. Let m(q) = -q**2 + 7*q - 2. Let o be m(6). Put -1, -4, i, o in ascending order.\nAnswer: i, -4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 11:35 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/275142 and 1\/4441578?\nAnswer: 31091046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by -2745?\nAnswer: -31\/2745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2051 - -2051.0003909. What is q rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 726268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110222 (base 3) in base 11?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q, -578 = 2*a - 4*q - 1534. What is the remainder when a is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 4, 6, -44\/4679, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122705 to the power of 1\/2, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5360*b**3 - 366*b**2 + 227*b + 11810 wrt b.\nAnswer: 32160*b - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -3\/76 (b) 4\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2278 by -6.\nAnswer: -1139\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667001999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8606092813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/((-435)\/36)*(-160)\/(-8)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1))**(-1\/29))**(-17))**(1\/8) assuming w is positive.\nAnswer: w**(-17\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2404.3 + 2088. What is o rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57\/(-18) + 3)*63\/14. Let t be (-3)\/((-57)\/12 - -4). Which is the smallest value? (a) t (b) s (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-11) - 103298\/97955.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 3, 2, 4 in ascending order.\nAnswer: -7, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12818 is divided by 1013?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.3. Let q = 0 + 0. Let u be ((q\/(-2))\/3)\/(-1). Which is smaller: g or u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -8, -3, 597 in increasing order.\nAnswer: -8, -3, 3, 7, 597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10171989 is divided by 9298?\nAnswer: 9275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183.9 + -184. Sort 2\/3, -6\/7, c in descending order.\nAnswer: 2\/3, c, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.11 (b) -2\/169 (c) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160856390 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161972653?\nAnswer: 161972653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.476944 to 2 dps.\nAnswer: -13.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 - 83. Solve o*b + 8 = 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*b + 2508, -b = -2*w + 296 + 706. Calculate the greatest common factor of 112 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/6 - m**2\/2 - 7*m + 1. Let c(t) = 19*t**2 + 57*t - 57. Determine c(a) - 57*n(a).\nAnswer: 19*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2 = -2*c - c, -2*k = -4*c + 4. Let d(o) = -o**3 - 5*o**2 - 4*o - 4. Let q be d(-5). Calculate the highest common factor of q and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, l: 4, x: 1, r: 5, y: 3}. Give prob of sequence lrrl.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63529 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34411 (base 7) in base 8?\nAnswer: 21113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/4 - 5*z**3\/3 + 4*z**2 + 5*z - 4. What is h(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -703501*d - 1679. Let b(u) = 3350*u + 8. What is 1679*b(i) + 8*o(i)?\nAnswer: -3358*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.83 - 0.17. Let a = -13.7 - f. Let n = -0.2 - 0.8. Is a less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, -2\/791, 1?\nAnswer: -2\/791","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002431617 to 5 decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 537*m = 279 + 17979 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 330 = -5*x, 3*x - 6*l + l - 206 = 0. Let h = x + -28. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnhxlxaa. What is prob of picking 1 h, 2 a, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 25, -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (360\/252)\/(1\/(-4)*48\/(-21))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 78*m**2 + 28*m - 283. Let n(c) = -26*c**2 - 10*c + 100. Let q(j) = -6*f(j) - 17*n(j). Let i(k) = -156*k**2 + 13*k - 13. Calculate 2*i(y) - 13*q(y).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 12245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 98974 divided by 1\nAnswer: 98974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2164618 by -2.\nAnswer: -1082309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162598 + 819530 = 42*a. What are the prime factors of a?\nAnswer: 2, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z - 16. Let a be u(9). Suppose -4*p + 178 + 96 = -q, 0 = a*p + q - 140. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-36))**(-18)\/(j**18)**(18\/11) assuming j is positive.\nAnswer: j**(6804\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t + 14. Let y be n(6). Suppose -2*m + y + 380 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 + (-15 - -19)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1617 - -1665. Calculate the remainder when k is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 68.53. Let s = u - 0.53. Let r = -0.9 - s. Which is the second biggest value? (a) 0.2 (b) 1\/6 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/(-120) - ((-363)\/2 - -1). Suppose -64*c = -49*c - x. Let g(l) = l**2 - 12*l + 16. Give g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = t. Suppose -t*g - g = -27. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98439 divided by -1727\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.3 (c) 2 (d) 26 (e) -0.0632 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + -2 + 121)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 533736.689 + -534912. Let s = 1173 + v. Let y = 0.011 + s. What is y rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5, 67, 185, 365, 613, 935?\n\"Answer: s**3 + 22*s**2 - 11*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 10, -63, 1350 in descending order.\nAnswer: 1350, 10, 5, 2, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/4*564\/658.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v - 13 = -271. What is the least common multiple of 279 and v?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3*i**3\/2 + 2*i**2 - 25*i. Let d be r(-11). Let u = d - -172. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -11264?\nAnswer: 11268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 75524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21617313 or 21617310?\nAnswer: 21617310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114875615507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 11) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 11 + 12 + 138*d**4 - 680*d - 2*d**3 + 680*d in the form o*d**3 + b*d**2 + f*d + s*d**4 + l and give s.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b5 - 16b1?\nAnswer: -15b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77 and -15570.\nAnswer: 1198890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let t be (-20)\/8*(m - 1). Solve -10 = -4*n - n - 5*z, 0 = -3*n + t*z + 14 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 110*b - 122*b. Let f be 2*(-2)\/4 - 3. Is b >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20)*6\/585)\/(2\/(-10))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-21)\/36*(-2308)\/84.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63069125849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325*m - 1748 = -279*m. Let h(p) = p**2 + 3*p + 1. Let w be h(-4). Sort m, 2, w.\nAnswer: m, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2 + 8. Let f be 8\/12*(-3)\/2. Let y = f - z. Sort y, 0.03, -0.2 in descending order.\nAnswer: y, 0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00148941 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -37 + -25 + 36\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 17472.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the biggest value in 5, -19, -2\/15, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 363 - 4?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h - 9*h - 4*h)*(2*h**2 - 15*h**2 - 10*h**2 - 4*h).\nAnswer: 138*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 18281*r**2 + 4*r - 16. Let w be v(8). What is w rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7)\/x*x)\/((x*x**(5\/2))\/x*x))**20\/(x**(-6)\/((x\/x**7)\/x)*(x*x**8)\/(x\/(x**(-6)*x))) assuming x is positive.\nAnswer: x**(-214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18*s + 8*s + 8*s + 11*s**2)*(8 + 5*s - 8)*(-39*s + 11*s + 9*s) in the form a*s**2 + x + g*s + k*s**3 + r*s**4 and give k.\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from otooottttootooctoooo?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0304 - -0.03039727. Round p to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 4*p**2 + p - 2. Let r(w) = -w**3 + 6*w**2 + 25*w + 26. Calculate the remainder when r(9) is divided by h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8485.1 and 527099132.\nAnswer: 527107617.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2431*f - 1802 = 2537*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - 1. Let q(c) = c - 7. Let n be q(8). Let s(w) = -5 - n + 5. Let x(b) = -b - 4. Let y(m) = -5*s(m) + x(m). Calculate -2*k(l) - 5*y(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + l = -0*d - 15, -l - 3 = 0. Factor d*w**3 + 1 + 6*w**2 - 9*w**2 - 3*w + 2.\nAnswer: 3*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 2, 4, -6430?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/2)\/j)**(1\/20)\/(j**(-14)\/j**(-14)))**(-1\/5))**(-20) assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Let c be 3 + -4 - (-16)\/z. Let -4 - 2*b**2 - 3*b + c*b + 2*b = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 3 + 3)*(-67*s - 135*s - 92*s) - 4*s**3 + 4*s - 4*s + 9 - 9 - 7*s**3 as g*s + o*s**3 + k*s**2 + h and give o.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 21 = 3*a + 4*z, 2*a = -2*z - 12. Let k be (-1 - ((-3 - a) + 3))*2. What is the lowest common multiple of (3\/(-8)*k)\/((-3)\/(-64)) and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/5 - 9662*d**4 - 21890483*d**3\/5 - 502353644*d**2 - 9785933084*d\/5 - 1939828832 = 0. What is d?\nAnswer: -223, -2, 48760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p + 52 = -15*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132 - 579 - 381*c**3 + 46 - 228 - 268*c**3 wrt c.\nAnswer: -1947*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1310 + -55?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrppprrrr. Give prob of sequence pr.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/335408 and 7\/18?\nAnswer: 3018672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121*b**3*z**2 - 3*b**3*z + 13*b**2*z - 505960*b*z**3 - 231883*b wrt z.\nAnswer: 242*b**3 - 3035760*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 40 = y, -59*b - 14 = -62*b - 4*y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.65 + 1. Let m = u - -1.35. Let g = m + -1.8. Which is smaller: g or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -21, 1679 in descending order.\nAnswer: 1679, -21, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -2*a**3\/3 - 2*a**2 + a + 1082. What is b(4)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/4 - ((-3)\/5 + (-49)\/(-490)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 + -76. Which is the smallest value? (a) h (b) -4 (c) -5 (d) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 31490 + 31464 - 2*y)*(5*y - y - y).\nAnswer: 12*y**2 - 78*y","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**2 - 27*c**2 + 10*c**2 - 7*c**2 + 7*c**2 - 36*c.\nAnswer: -2*c**2 - 36*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**7\/1008 + 7*g**6\/72 - 49*g**5\/12 + 7*g**4\/4 - 27*g**2. Let j(m) be the second derivative of u(m). What is k in j(k) = 0?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*b = 4*f, -3*f + b = -1. Let z be ((-10)\/(-4))\/(f\/(-2)). Let d(u) = u - 3. Calculate d(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.4, -0.3, 2\/7, -0.2, -7, 2380?\nAnswer: 2380","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35721 and 1176.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 16 = -7*w. Let p(u) = -u**2 + 3*u + 5. Let h be p(w). Let r be h*-2*(-3 + 5). Sort r, 5, 0.\nAnswer: r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 103360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*c - 30 = 5*k, 16 = c + k. What is the highest common divisor of c and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7*a**3 + 9*a**2\/2 + 35*a. Differentiate f(n) wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53460111*r**5 - 69*r + 95559 wrt r?\nAnswer: -1069202220*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 3*h**2 + 5*h + 3. Let g be n(-4). What are the prime factors of g - (1 - 0) - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**22*g)*g**(-3\/11))\/(g**27*g\/g**(-22)) assuming g is positive.\nAnswer: g**(-795\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-6)\/21)\/(551\/3857)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n + 50 = 0. Let f be 0 - ((-30)\/n)\/(-3). Find u, given that -f*u + 2\/5*u**2 - 4\/5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -722 + 731. Let k(x) = -7*x + 37. Calculate k(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*h + 2*u, -60 = -6*h + h - 3*u. Let r(l) = l**2 - 8*l. What is the remainder when r(h) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a = -26*a + 2*u + 2725, -4*a = -2*u - 3634. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -283*l**5\/60 + 9345*l**2 + 1. Let q(a) = -8*a. Determine q(y(s)).\nAnswer: 2264*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7654\/(-172))\/(2\/(-140))?\nAnswer: 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -61*v**2 - 19*v - 66. Determine a(-4).\nAnswer: -966","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 9*m - 13. Let y be w(-7). Suppose -4*u - 340 = -3*a - a, 3*a - y = -5*u. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135947.\nAnswer: 7, 19421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -24. Suppose 0 = -p - 5, -5*g + n = p - 1. Suppose 1 = -g*d + 5. Sort -2, d, 1.\nAnswer: -2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -889478*t**2 - 51*t - 1004 wrt t.\nAnswer: -1778956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + ((sqrt(12) - (sqrt(12) - -6*sqrt(108) - sqrt(12))) + (sqrt(72) + sqrt(72)*1)\/sqrt(6))\/(sqrt(24)\/((sqrt(54)\/sqrt(3))\/sqrt(3))) + -1.\nAnswer: -15*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*i. Let x(f) = 3*f + 9. Let b be 4\/3*3\/2. Let g(c) = c + 5. Let n(h) = b*x(h) - 5*g(h). What is n(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 divided by 2?\nAnswer: 619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-48)\/96 + 38\/4. Solve 2*y - v = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 + 7*a**2 + 11*a - 22. Let i be t(-6). Is i at most as big as -483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 = -6*s - 672. Let a = s - -408. Let v = a - 141. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 = -2*d - 0*q, -5 = -d + 3*q. Suppose -4*v - 15 = d*m, -v - 5 = 2*m + 1. Suppose v = -2*p + 5*z + 25, 5*p - 13 - 21 = 3*z. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*p + 270 = -0*p, -p + 380 = 4*w. Suppose 4*k - 98 = -w. Calculate the lowest common multiple of k and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 0*l + 6*l - 4*l. Let p(q) = q. Give p(t(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.024 (b) 110 (c) -0.3 (d) -1 (e) 15 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (13 + -14) - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 12*r = 20. Suppose -c + 760 = 4*o, 2*o - r*o + 565 = 2*c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.201 times -99\nAnswer: 19.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322 + -141. Let g = -67 + q. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 216040.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 12. Let r = 0.05 - 4.05. Let n = -5 - r. What is the closest to 0.1 in 1, h, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1865\/364 - -1\/52. Let a = 571\/126 - p. What is the common denominator of 13\/14 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) + (21760\/(-112))\/(-34) + -6\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5002864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-357 + 155 + 761*c + 202)*(1 + 7 - 6) - 1 + 1 - 2*c - c - c + c + (-4 + 3 + 3)*(-c - 2 + 2) in the form w + k*c and give k.\nAnswer: 1517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k. Let j(x) = 505*x. Calculate j(z(w)).\nAnswer: -3535*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/30242975 and -53\/1125320?\nAnswer: 241943800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0541 rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3565 - 2?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + 2. Calculate the greatest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x = -23*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/15 - 88\/(-20). Suppose -q = -o*q. Suppose -5*r = q, 10 = 5*z - 0*r + 2*r. Does 3\/5 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 = 5*p, 0 = 15*t - 10*t + 2*p - 16. Solve 5*k + 12 = t*c, 3*k + c - 5*c = -12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10824007.\nAnswer: 23, 470609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 45*o**2 - 2. Let h(c) = 3*c**2. What is h(f(i))?\nAnswer: 6075*i**4 - 540*i**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*s - 4*t, 4*s - 7*t + 3*t = 0. Suppose -6*f + 5*f + s = 0. Solve -5*r + 10 = -r - 2*o, -5 = 3*r - f*o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 136. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -10. Let x = -12\/13 + 49\/39. Which is the smallest value? (a) x (b) l (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(208) + sqrt(208) + 2 + sqrt(208) + sqrt(208) + (sqrt(208) + 4*(sqrt(208) - (1*sqrt(208) + sqrt(208))))**2.\nAnswer: 16*sqrt(13) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 333.895 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-1\/4)\/d))**(-38)\/(d*d\/d**(-4\/5))**(-14) assuming d is positive.\nAnswer: d**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 (base 12) in base 4?\nAnswer: 20103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 5. Let t(h) = 1. Let q = -118 - -28. Let x = -94 - q. What is x*t(g) + y(g)?\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 989 = 4*a + 1007, -3*a - 20 = -5*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k + 1. Let m be t(1). Let u = m - -10. Suppose -5*p - u = -15. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 12:31 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/6 + 585*l**2\/4 - 587*l + 9702. Suppose u(i) = 0. Calculate i.\nAnswer: -587, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 122*r + 808. Does 9 divide k(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + w + 2*m - 23 = 0, -13 = -5*w + 3*m. Suppose -5*g - 3*s + 140 = 0, 0 = -g + 2*s + w + 36. Calculate the remainder when g is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -342*d + 136*d + 207*d + 7. Let s(i) = -2*i - 6. What is 3*a(q) + 2*s(q)?\nAnswer: -q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392871.9 days to hours.\nAnswer: 9428925.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145053 at most 145067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 20 + 2*b**4 + b**4 - 12 + 3*b**2 + 2*b**3 + 4 in the form v + h*b + s*b**3 + f*b**2 + x*b**4 and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 - 1 = 0. Let z(k) = 2*k - 2. Let q be z(3). Let g be (q\/(-5))\/(3\/5). Which is the second biggest value? (a) 0.1 (b) h (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5038 - -5000) + (-96)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + sqrt(63))*-4 + -2.\nAnswer: -16*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f - 4*f. Let v be (-8)\/(-12) + 22\/f. Solve 2*p - r - 4*r = v, -4*r = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37926 and 18816?\nAnswer: 2427264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v - 2*v**2 - 11 - 3*v**2 + 6*v + 2*v**4 + 6 - v**3 in the form a*v**4 + h*v + k*v**2 + f*v**3 + z and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50291873 is divided by 474.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-72))\/(2\/78) - (-6)\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0 + 0*b**4 + 0*b**2 + 1\/3*b**3 + 0*b**5 + 0*b**6 - 1\/21*b**7 - 2*b. Find the second derivative of z(p) wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18287*g*w**2*y**3 + 6*g*w - 4*g*y**3 + 19*g*y - 198*g + 3*w**2*y with respect to w.\nAnswer: 36574*g*w*y**3 + 6*g + 6*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1536260 - 928458. Let n = -607807.000008 + s. Let t = n - -5. What is t rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 780.356 litres to millilitres.\nAnswer: 780356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/28 + (-6)\/(-8). Is t < -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 901, 801, 657, 475, 261, 21, -239?\n\"Answer: g**3 - 28*g**2 - 23*g + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32a8 + -a?\nAnswer: -32b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16 and 3*1 + 1386\/(-180).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -149. Suppose f + 5*m = 285, -2*m = 2*f + r*m - 582. Calculate the greatest common divisor of f and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, k: 1, r: 1}. Give prob of sequence kr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -656\/7, -5, 0.2, 0, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*v = 85*v + 798. Let b be (0 - 2)*(-4 - -3). Find the first derivative of -185*u**b - v + 185*u**2 + 28*u**4 wrt u.\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xotuotttoohooohhuxo. What is prob of sequence ot?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157848 divided by 8?\nAnswer: -144731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 24 + 66*n - 7*n + 8 - n**3 + 7 to the form h*n**3 + d*n**2 + g*n + k and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 189*v**2 + 2 - 66*v**2.\nAnswer: -255*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/22 and (-359)\/48 + (-55)\/(-11).\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 21*h + 40 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/42*((-6)\/(-15))\/(132\/1155)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7469 + 7479. Solve 5*p - 2*f = 0, 8*f - w*f - 12 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0, 0.2, 430, -3\/2 in descending order.\nAnswer: 430, 0.2, 0, -0.07, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3) - 167\/(-36). Let g = -26\/9 + f. What is the third biggest value in 0.01, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6757 - 6728 - (3 + -5 + -17).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 21*a**2\/2 + 17982*a + 199719\/2 = 0.\nAnswer: -1707, -39\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -537. Is (-1 - (3 - q))*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 4, l: 3, q: 2, i: 9}. What is prob of picking 1 n and 1 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsbhrhjrjnnr. What is prob of picking 1 j and 1 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 976181851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*l**2*o*r + l**2*r - 9*l*o*r - 3*o - 3 wrt l.\nAnswer: -12*o*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5141*q - 35977. Calculate s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k + 1952 = 0. Let r = -97 - k. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1621, -1626, -1631, -1636, -1641, -1646?\nAnswer: -1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3979 equal to -3978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-46 + 48)*5298\/15*5\/4 is divided by 268.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let b be j(2). Let q(i) = 0 - 1 + 6*i - b. What is q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -9. Suppose g*l + 3*l = 6. Suppose -2*p = l*p - 24. Solve -2*k = -2*o + p, -5*k - 20 = -2*o - 10*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1452 and -9\/3872?\nAnswer: 11616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 7) - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/n**(4\/5)*n)\/n*n)\/n**(2\/13))\/(n**(2\/3))**(1\/4) assuming n is positive.\nAnswer: n**(733\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141333245?\nAnswer: 5, 53, 241, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 1. Let k(o) = -5*o**2 - 3. Let x(l) = -k(l) + 3*s(l). Let i(c) = -14*c**2. Determine x(i(h)).\nAnswer: 1568*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/5380 and -127\/2316.\nAnswer: 3115020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i\/i**10)))\/i)\/(((i**6*i)\/i*i)\/i))**(3\/19)\/(i**(-1\/23)*i*(i*i\/i**3)\/i)**49 assuming i is positive.\nAnswer: i**(21240\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1773 = -11*u + 2*u. Let i = u + -99. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3587644*-0.2\nAnswer: 717528.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39698563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 0*w)*(29 + 61 + 33 + (-2 - 3 + 3)*(-2 + 2 + 2)) + 1 - 1 - w + (2*w + 0*w - w)*(-1 + 3 - 4)*(8 + 10 + 3).\nAnswer: -162*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/315 + 7*i**6\/540 - i**5\/90 - i**4\/36 + 2*i**3\/27 + 101*i**2 + 2*i. Determine s, given that c(s) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**4 - d**4 - 23*d**4)*(6*d - d - d).\nAnswer: -104*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 184627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 14*z**2 + 103*z - 945. Determine x(10).\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3900323*c**4 - 2*c**2 - 541720187*c wrt c?\nAnswer: 46803876*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 10 = 11. Let t(w) = 139*w + 11. Is t(g) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.3. Let f = -0.3 + 0.8. Let k = -4 - -3.8. Which is the smallest value? (a) k (b) f (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/47329 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 21*u - 8232. Calculate the least common multiple of 40 and u.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1600 + 224*l - 1600 + 2*l - 5*l + l + 2*l + 0*l - l - 3 + 2*l + 3 + (0 + 3 - 5)*(2*l + 0 + 0) + 0 + 0 - 2*l + l + 0*l + 0*l.\nAnswer: 220*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 + 42 = 0. Let h = 15 + g. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s - 9. Let p = -18 - -21. Calculate u(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/24 + s**3\/3 + 2*s**2. What is the remainder when 188\/14 - 104\/(-182) is divided by p(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 19 + 10 + 9 in the form f + l*a and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26404108 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -226, -520, -932, -1462, -2110, -2876?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2 - (1 - 2 - -7)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 31 - 8 - 10)*(-5 + 5 - 3*u).\nAnswer: -132*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013818300.\nAnswer: 2, 5, 13, 17, 293, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s**2 - 1. List the prime factors of i(-2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Suppose j - 533 + 142 = 0. Suppose -251 = 2*c - q*a - 652, 2*c - j = -5*a. What is the greatest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 49. Let l(m) = m**3 - 7*m**2 + 2*m + 6. Calculate l(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = 10*b - 507. What is the greatest common divisor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -14.12?\nAnswer: 112.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p = f - 10909, -4*f = 12. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 611 - 3*r**3 + 621 - 42*r - 1225 + 2*r**3 as s*r + j*r**2 + t*r**3 + h and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.4 (c) -0.03 (d) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 112.\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen quarters of a second?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**4\/2 - 7*t**3\/3 + 3*t**2 + t. Let r = 3 - 1. Let z(n) = -2*n**2 + 0 + 2 + 0*n**r - 3*n - 2*n. Give -5*g(k) + 14*z(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/11, -4\/3, 4, 0, 3\/8 in increasing order.\nAnswer: -5, -4\/3, 0, 2\/11, 3\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 459063 = 29437. Round x to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-139)\/(-2)*(-3 - 4\/(-4)). Let c = -56 - p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*c - 65 = 27, -c - 193 = -2*p. What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24663609758919.9296709 + -24663610823007. Let b = -1064087 - h. Let s = b - 0.0703. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2271 + 4790. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -173*l**4\/4 + 54*l**3 + 33. Find the third derivative of i(z) wrt z.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:14 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3 - 11 - (49 - (40 - 32))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 132 = 2*l, -4*l - 3*a + 2*a = 249. Let m = 37 + l. Let g = 70 + m. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 17*q - 36. Let a be c(19). Suppose 4*s - 363 = -a*d + 301, -4*d - 5*s + 1337 = 0. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (36\/2 - 0). Suppose -x = 5*m + x - 54, 3*m = x + 28. Let h be (-30)\/(-4)*216\/m. What is the greatest common divisor of h and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -385*h + 391*h. Solve 2*z + 4*o = -10, -3*z + 4*o - 5 = -h*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 162509145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6*1\/8)\/(((-18)\/(-40))\/((-3)\/(-95)))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 - 44. Suppose -2*x + 103 + m = 0. Let v = -11 + x. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - 5*c)*(c - c + 4*c)*(2 + 3 - 2).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*x**5 + 4*x**4 - 9*x**3 - 36*x**2 + 4*x + 1.\nAnswer: 1800*x**2 + 96*x - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*(2 - 2387\/(-56)). Solve 358*s = u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*g - 404, -2*m - 478 = 3*m - 3*g. Let i be m\/(-12) - 14\/84. Solve -i = -5*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832) + 1 + 4)*3 + 5)**2.\nAnswer: 1104*sqrt(13) + 8017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 2*y - 4*n, 0*y + 12*n = -4*y + 11*n - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 231140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 20. Let d be j(26). Solve -8*k + 6*k = d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 21416*i. Let b(c) = 2*c**2 - 271. What is l(b(o))?\nAnswer: 42832*o**2 - 5803736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 31.1 (c) -5.3 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*g**4 - 98*g + 74*g + 23*g + (-g**4 - 4*g**4 + 4*g**4)*(1 + 0 + 0) to the form s*g**3 + k*g + q*g**4 + o*g**2 + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose 3*q - 40 = -2*y, -4*y + 3*q + 108 = w*q. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20*h + 640. Calculate the smallest common multiple of k(30) and 135.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6376 - 3603. List the prime factors of z.\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -535*n - 535*n + 1063*n + 24 in the form y*n + b and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(7\/5))**5 assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*t = -0*a - 4, -3 = -t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-4) + (5\/4)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 3*k**3 + 525 + 3*k + 90 + 2*k**2.\nAnswer: -3*k**3 + 2*k**2 + 3*k + 537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**2\/2 - 40*h. Let u(l) = 2*l + 3. Give -c(s) - u(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81985*-8523.\nAnswer: 698758155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8825 divided by -3.\nAnswer: -8825\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-77)\/66). What is the nearest to -1 in -2, 4, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*p + w, -4*w - 23 = -p + 4*p. Let t(z) = z**3 - 7*z**2 + 7*z - 18. Let n be t(6). Sort 2, -4, n, p.\nAnswer: n, -4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-41)\/(-6))\/(1746\/108 - 16). Put -1, i, -5 in decreasing order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -95\/2, -0.4, -4\/5, -909?\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 27*g - 258. Let t be x(8). Suppose -t*w = 29*w - 35190. What are the prime factors of w?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 5*l + 2. Let h be m(4). Let w = -5 + h. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540 - 310 - 31967*n**2 + 31966*n**2 - 309 + 1159.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434420120 rounded to the nearest one million?\nAnswer: 2434000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 969335, 968849, 968363?\nAnswer: 967877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/96 + 43\/480. Let f(r) be the third derivative of x*r**5 + 0*r - 5\/6*r**3 - 5\/24*r**4 + 0 + 5*r**2. What is f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -147.1\nAnswer: -147.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -572.7 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 4*3\/4. Suppose w - u = 7. Calculate the remainder when w is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(0 - 3\/4*(-1)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 40*x - 280 = 0, 5*a - 2*a - 6689*x - 35 = -6694*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23599\/7 - 3371. Factor 0 + 2\/7*l**2 - r*l.\nAnswer: 2*l*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.7, 172.61, 0.8 in increasing order.\nAnswer: -5, -1.7, 0.8, 172.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 638*u**3 - 563*u**2?\nAnswer: 3828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence josu when four letters picked without replacement from {u: 2, s: 1, o: 1, n: 1, j: 2, w: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425)*2 - (-2 + (sqrt(17) - (sqrt(17) + sqrt(17) + 2 + sqrt(17) + sqrt(17)))))**2*-2.\nAnswer: 208*sqrt(17) + 5778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2260 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110011 (base 2) to base 3.\nAnswer: -20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62420 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 not equal to -9905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4*l + 4*l)*(-30*l + 13*l - 14*l) + 10 + 5*l**3 - 8 - 160*l**2 + 167*l**2.\nAnswer: -26*l**3 + 7*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.3, 2, -0.14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1975*o + 11876. Determine c(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*z - 76*z + 169*z + 75*z - 1100*z.\nAnswer: -1306*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:31 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7320429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let q = 2 + z. Let w = 31.9 + -31.9. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/18 - 4\/(-24). Suppose 4*d - 28 - 32 = v. List the prime factors of (2*-4)\/((-5)\/d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 23*o - 112. Let r be n(7). Suppose r = -13*j - 176 + 436. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/60*4)\/(27\/30)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6506 (base 16) to base 9.\nAnswer: 38425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 + 6. Suppose -26 = -3*q + 13. Let o(c) = -15*c**2 + 13. Let d(j) = q*b(j) - 6*o(j). Let i(x) = -46*x. What is i(d(a))?\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125 + -1120 - (1 + -3 + (2 - 1 - -38))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1337 + -1.193. Round q to three decimal places.\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1662*l**3 - 1221*l**2 + 9*l. Let u(j) = -830*j**3 - 613*j**2 + 4*j. Let d(h) = -4*g(h) + 9*u(h). Find the third derivative of d(n) wrt n.\nAnswer: -4932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 5*d**2 + 4*d + 5. Let n be g(-4). Suppose -11 = 4*j + n. Let u = j - -8. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -18*b**2 + 19*b**2 - 3*b - 2*b. Let o be j(5). Suppose 2*f - 27 - 15 = o. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let w(l) = -l**3 - 6*l**2 + 4*l - 16. Let f be w(-7). Suppose f*y - 2*y - 24 = 0. Let z be (-46)\/(-69) - y\/3. What is v(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {c: 2, r: 2, i: 3, u: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191\/42 - -29\/6. Let n = 20232.96 + -21250. Let h = -1017 - n. What is the closest to c in -4, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 i, and 1 r when four letters picked without replacement from rikikiikikririrki?\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -19*u**6\/60 - u**5\/60 + 53*u**4\/24 - 2*u**2 - 131. Find the third derivative of y(w) wrt w.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -570 + 2421. Suppose -13*x + 16*x = -5*v + l, 1848 = 3*x + 4*v. Is 68 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2057 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -4*a - 9. Determine i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r. Let k(a) be the first derivative of -13*a**3\/3 - 17. Give k(j(h)).\nAnswer: -117*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5711\nAnswer: -1713.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 4*z**2 + 4*z - 3. Let s be o(2). Let v = 0.3 - 0.2. What is the closest to v in 0.5, s, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -g - 12. Let t(b) = b**2 + 2. Let c be t(0). Solve 2*o - m = 6 - 3, -g = -3*o + c*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 2. Let l(q) = -q - 1. Let n(v) = -2*g(v) - 5*l(v). Let f be n(4). Let k(w) = -8*w - 4. What is the units digit of k(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 1:46 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-15)*(-380)\/(-418)*(-2)\/(-324).\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + -2?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 42*a - 1842. Let u be p(-27). Solve -57*n + u*n - 72 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1245156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*b**2*m**3*t + 3*b**2*t - b*m**3 - 2*b*t + 105*m**2*t wrt m.\nAnswer: 384*b**2*t - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + -10. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y - 105 = -16*y. Sort -5, y, 3 in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (162\/351)\/((-17)\/(-442)). Let h = -11 + 14. Solve b = -a - 3*y, a - 9 = h*a + y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**2 + 2*b + 1. Let r(v) = 2*v**2 + 1. Determine -n(l) - 2*r(l).\nAnswer: 3*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2855*k - 2945*k + 5064480. What are the prime factors of k?\nAnswer: 2, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.7525436 months?\nAnswer: 0.01460453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) - (4*sqrt(24))\/sqrt(2).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14) + 138\/42. Solve -18 = p*y + 3*c, 4 = -2*y + 3*c + 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 9*v - 10. Calculate r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 857.476 millennia to centuries.\nAnswer: 8574.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.61835l in millilitres?\nAnswer: 27618.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339421061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 40 = -4*l + 4*a, -75*l + 2*a - 750 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - ((-3 - 9) + -9)) + -1 + 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2*x**2 - 9*x**3 + 4 + 10*x**3 - 2*x**3 as d*x + v*x**2 + i + c*x**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 7*l + 5*l - 23*l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*y + 34*y = 5271 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16984288 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 5*h - 5 - 6. Let x(a) = -a + 5. Let p be (3 + 14\/(-6))\/(38\/342). Suppose -9 = -2*u - 5*y - 8, 3*y = -u - 2. What is p*m(r) + u*x(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k + 75*k + 3*o + 9 = 0, 0 = 5*k - 2*o - 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4341 and 30.\nAnswer: 43410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 6387 - 13264 + 6613.\nAnswer: y - 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 133 and 1.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-6))\/(4\/12). Differentiate 2*y**4 + 3*y**4 - s - 3*y**4 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 20 = -5*i + 3*f, 0 = -3*i + f + 10. Let u(h) = 1 + 2*h - 7*h**2 - h**i - 8*h + 4. List the prime factors of u(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81416 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 y when three letters picked without replacement from {q: 2, h: 2, b: 1, e: 1, y: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (7 + -6 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(10\/3)))*y*y**21)\/((y**(2\/17)\/y)\/((y\/(y\/((y\/y**(1\/8))\/y)))\/y)))**(4\/3) assuming y is positive.\nAnswer: y**(7925\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, l: 1, k: 1, i: 2, p: 1}. Give prob of picking 1 p, 1 k, and 1 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14 - 6 - 6*z + 0.\nAnswer: -6*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -11) + (-1 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 - 6*m - 1. Let l be o(-5). Let b = -7 + l. Is -12*b*8\/36 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + h + 20, -5*z + 5*h + 40 = -10. Is (-2)\/z - (-48)\/15 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6562782482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 8*q**2 + 10*q - 17. Let l be g(7). Suppose l*v - 32 - 4 = 0. Suppose 3*p = 4*w - 72, -p + v = w - 4*p. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 153, 283, 471, 735, 1093, 1563, 2163?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 24024 = 52254. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19001, -19001, -18999, -18995?\nAnswer: -18989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25367945 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**7\/280 + p**6\/360 - p**5\/60 + p**4\/24 - p**3\/6 + 2*p. Let i(y) be the second derivative of u(y). Calculate i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 - 3*s + 3*s)*(-9000 + 513*s + 9000)*(0 + 1 - 2) in the form h*s**4 + r*s**3 + b + w*s**2 + n*s and give h.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-3))\/((1288\/42)\/23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194476*c + 194166*c - 2790 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 402381574, 402381573, 402381572, 402381571, 402381570, 402381569?\nAnswer: 402381568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-27) - (-8798)\/2862. Determine a, given that 18*a**b + 735*a - 792*a - 27*a**2 - 29 - 17*a**3 = 0.\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 129 + 29 = 4*v, -2*v + 2 = 0. Let t(w) be the first derivative of f + 0*w + 22\/3*w**3 - 13*w**2. What is the second derivative of t(i) wrt i?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 497731 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 16*q + 22. Let l be h(18). Let y(x) = -x - 19. Let n be y(l). Put 1, n, 3 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of -j**5\/120 - j**4\/8 - 5*j**3\/6 - 2*j**2. Let x(i) be the first derivative of o(i). Let k = 117 - 120. Calculate x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 10*w**2 + 13*w + 15. Is j(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.27272 millennia?\nAnswer: 827.272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, k: 7}. What is prob of picking 3 k?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5\/4 + 5*h**4\/4 - 19*h**3\/4 - 17*h**2\/4 + 4*h + 3 = 0. Calculate h.\nAnswer: -3, -1, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-20)\/(j*j**5) assuming j is positive.\nAnswer: j**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -14, -9 in increasing order.\nAnswer: -14, -9, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8022 is divided by 175.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-2\/13)*k*k**17)\/(k**(-25)*k**26))**(-47) assuming k is positive.\nAnswer: k**(-11703\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 96e1?\nAnswer: -96de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000889416338 to 6 dps.\nAnswer: -0.000889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d - 12. What is the least common multiple of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*3*30*(-200)\/2250?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 19. Let d = f - 12. Calculate the remainder when 7 is divided by ((-5)\/(-3))\/((-10)\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 924 = 107*p - 788 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 236 - 157. Let f = -81 + o. What are the prime factors of 45*(f - (-14)\/5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 6. Let k(u) be the third derivative of u**5\/60 - u**3\/6 - 10*u**2. Let t(h) = 2*k(h) - w(h). Suppose t(g) = 0. What is g?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 1, k: 4, b: 3}. Give prob of picking 1 b and 2 t.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739998937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2. Let u(f) be the second derivative of -29*f + 0*f**3 + 0 - 1\/6*f**4 + 0*f**2. Determine u(z(p)).\nAnswer: -162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 61. What is the closest to -1 in 2, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + -15 + 46 + -13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 8 = 0. Suppose -h*a - 10 = 0, 4*k + 520 = -k - 4*a. Let g = -100 - k. Which is bigger: -2\/15 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*n - t, 5*t = -20*n + 23*n - 14. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/2 + (-192502)\/(-24). Let r = 8006 - f. What is the common denominator of (-166)\/(-36)*(-1 - 0) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*z - z**2 - 7*z - 7*z - 6 to the form r + b*z + l*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2 + 6. Let n = -5 + 10. Let c(b) = -6*b**2 + 5 - n. Determine u(c(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244.805 nanograms in milligrams?\nAnswer: 0.003244805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/2519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 plus -113104929638?\nAnswer: -113104928700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x - 4. Let v be o(12). Let p = 18 - v. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -5\/6 (c) 6 (d) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j**2 + 7*j - 1. Let o be m(5). Suppose -o = g - 4*g. Suppose w = 0, 0 = -g*k + 4*w - w + 54. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13095 and 1080?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 38c11?\nAnswer: -38c0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-51 + 165 + -56)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-3\/7))**(-7\/2)*((x\/(x**(-1\/4)\/x*x)*x)\/(x\/x**(-6)))\/(((x*x\/x**(-2\/9))\/x)\/x**(-2\/17)) assuming x is positive.\nAnswer: x**(-16799\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11)\/(h\/((h*h**15*h)\/h*h)*h))\/(h**(1\/48)\/(h*(h*h*h*h*h*h**37*h)\/h*h)))**8 assuming h is positive.\nAnswer: h**(2303\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 0.1 (c) -5\/6 (d) -14\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33190*c**2*d*j**2 - 77*c**2*j**3 - c*j**3 - 5*c + 34*d*j**3 - 2*d*j + 163*j**3 wrt c?\nAnswer: -66380*d*j**2 - 154*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000609302 to 7 decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53625654 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272120472?\nAnswer: 2, 3, 13, 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - 31. Suppose -28 = -42*u + 49*u. Is 10 a factor of h\/u + 18\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 2391.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253789056?\nAnswer: 2, 3, 17, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 - -18 - (22 + -25)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3524*k + 4491*k - 674869 = 157*k - 211247 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -789 + 756 - 28\/(-2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.2, 1\/6, -16 in descending order.\nAnswer: 2\/5, 0.2, 1\/6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 1, y: 2, h: 8, o: 2}. What is prob of picking 2 y?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f. Let j(d) = 20*d. Let g(m) = -2*j(m) - 7*x(m). Let c(s) = -4*s. Determine -12*c(b) - 4*g(b).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002 - 153323.\nAnswer: -153322.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225 - 259.85.\nAnswer: -484.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, -5, -4 in ascending order.\nAnswer: -15, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 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: How many minutes are there between 2:35 AM and 9:47 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 4. Let n(p) = 8*p**2 - 3. Suppose 7 = -8*o + 47. Suppose 5*z - o*l = 25, 0 = -4*z + 2*l + l + 21. Calculate z*n(f) - 5*s(f).\nAnswer: 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58225 (base 15) to base 16.\nAnswer: 44822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:19 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984508366.\nAnswer: 2, 139, 3541397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1301 - -1289) + -1 + 34 + -48\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 2*a - 1 + 2*a + (3*a - 2*a - 3*a)*(1 - 2 + 2) - 2 - a + 2.\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0*r + 0*r)*(0*r**2 + 3*r**2 - r**2) - 17*r**2 + 11*r**4 + 17*r**2 + (0*r - 3*r + 2*r)*(-3*r**3 - 2*r**2 + 2*r**2) + 0*r**4 + 3*r**4 + 0*r**4.\nAnswer: 13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987100 (base 10) in base 8?\nAnswer: -7451034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t**2 + 2*t. Let h(b) = -23*b - 3. Let u(v) = 70*v + 8. Let x(r) = 3*h(r) + u(r). What is l(n) - 2*x(n)?\nAnswer: 13*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1379 or -465?\nAnswer: 1379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -84. Suppose x + 2*i + 4 = 0, -u*x - 5*i = 3*x. Solve -x*g + 0*g + 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 11*p + 107. Let h be n(-6). Sort h, 26, 4 in increasing order.\nAnswer: 4, h, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1152) + 0.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 148917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-897)\/(-207) + (-8)\/6. Suppose 3*r - 17 = -4*z, 5*r - 19 = z - w*z. Factor -1\/3*c - 2\/3 - 9*c**3 + 10*c**z.\nAnswer: -(c - 1)*(3*c - 1)*(9*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60349095289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 46*c + 34 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = x - 2*r, 2*x - 6 = -2*r + 10. Let t = 60909 + -60904. Calculate the smallest common multiple of t and x.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-11)*2\/10 + -5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*w, 0 = -65*w + 60*w + 3*o + 11. Which is the closest to -7? (a) w (b) 3\/2 (c) -2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x**2 - 3*x - 4. Suppose 2*c = 5 + 5. Let z = c - 2. Let u(j) = -j**2 - j - 1. Let t(w) = w + 6. Let s be t(-7). Calculate s*v(b) + z*u(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684945 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97 and 42583?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3686.959 years in decades?\nAnswer: 368.6959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from {s: 4, z: 8, p: 5}?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -35230 at most -2.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (-9 - -4) - (-9)\/((-2196)\/1000) and (2\/10)\/((-1)\/(-59)).\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, -1056, 0.041, 2?\nAnswer: -1056","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 367, 552, 737, 922?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + m - 29284*m**2 - 50323*m**2 - m.\nAnswer: 2*m**3 - 79607*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 31*a**2\/2 - 2*a + 59. Differentiate s(o) with respect to o.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 283*u = 287*u + 1, -4*u + 17 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*330\/(-66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -171277 + 1537045\/9. Which is greater: -493 or v?\nAnswer: -493","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 + 3*x**2\/5 + 18*x\/5 - 8.\nAnswer: -(x - 5)*(x - 2)*(x + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = 3035 - 2947 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 + 511*o + 2*o**2 + 9 - 23.\nAnswer: 2*o**2 + 511*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.82 + -48.1. Suppose n = -2*d - 9, 1 = d - 2*n - 7. Which is bigger: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3944232 and 2629488?\nAnswer: 7888464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a - 1, a = -3*u + 7327. Let n(v) = 8*v**3 - 13*v**2 + 45*v - 20. Let t be n(8). Let i = t - u. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477\/2 - 239. Sort 0.2, w, -0.18, -2 in decreasing order.\nAnswer: 0.2, -0.18, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f - 228. Let n = -55 - f. Is 15\/8 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*m - 8*m. List the prime factors of -13 - m - 9*-8.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -6. Suppose d*u - 3 = 4*u. Let b(h) = h**2 + 1. Let z be b(0). Solve u*w - 4 = -z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 7*x + 2. Let g be k(6). Put g, 5, 3 in ascending order.\nAnswer: 3, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 - 12545\/(-30). Calculate the greatest common divisor of o and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 2*g)*(0 + 0 + 2*g**2) + (2 - 2 + 2*g**2)*(4*g - 3*g + 0*g) - 2 - g**2 - 2*g**3 + 7*g**2 + 4*g**3.\nAnswer: 8*g**3 + 6*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 3, i: 3, j: 4, p: 2, o: 3}. Give prob of picking 1 i, 1 n, and 1 o.\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/180 - z**5\/40 - 2*z**3 - 9*z**2. Let i(g) be the first derivative of y(g). What is the second derivative of i(h) wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/(-54))\/(4\/48). Let q(p) = -3*p**2 - 255*p - 969. Let g be q(-81). Suppose 0*v**g - z*v + 1\/3*v**4 + 0 - 4*v**2 = 0. Calculate v.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40460 and 2660?\nAnswer: 768740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*v**3 - 13*v - 14*v**3 + 0*v - 12*v - 10 - 334*v**3 wrt v?\nAnswer: -1662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, -19*o - p = -21*o + 134. What is the remainder when 150 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*w + 10*w + 402*w)*(0 - 1 - 9).\nAnswer: -4450*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 22. Let q = w + -9. Is q less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*s = -50, -3*s + 190 - 160 = 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76487 - 76484. Let r(x) be the second derivative of x**4\/2 - x**3\/3 + x**2\/2 + 2*x. Let p be r(2). Sort l, -0.4, p in decreasing order.\nAnswer: p, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 35337 = -35207. Solve -j + g*j = d - 17, -3*d - 5*j = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/5437?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.0893 - -0.0593. What is b rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 2. Let h(f) = f + 1. Determine -4*h(o) - m(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1143 + 570 + 4*k**2 + 576.\nAnswer: 4*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 85*n**2 + 30*n + 210. Let s be d(6). Calculate the highest common divisor of 450 and s.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7000 divided by 25.\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*x**2 - 297*x**2 - 198*x**2 + 144*x**2.\nAnswer: -782*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:40 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 167*j - 164*j = -27, -10*m - j - 72 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73407*n**3 + 40*n**2 - 122814353*n?\nAnswer: 440442*n + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-6)*0\/(-4). Suppose 7*y - 2694 - 2269 = o. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6584171.\nAnswer: 11, 113, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*w - 20, 5*a - 4*w - 5 - 15 = 0. Solve a = 15*g + 212 - 77 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2) + 3 + (-50)\/(-4). Solve 0 = -4*s + 2*s + 10, -f = -5*q + s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137113557281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p = 16, s + 2*p = -10. Let h be (-22)\/s - 1*3. Determine o so that -2*o**5 - 8*o - o**2 + h*o**4 + 7*o**3 - 4 + 3*o**5 - 3*o**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - 4)\/(0 - -1). Suppose -4*c + 12 = 0, 1 = k*y - 2*y - c. Suppose 5*b = -y*l + 87, 2*b + 150 = 4*l + l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, -4.8, 0.04 in descending order.\nAnswer: 4, 0.4, 0.04, -4.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*t + 22*t + 44. Find the third derivative of -5*q**2 + t*q**2 - 12*q**3 + 12*q**2 wrt q.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 12. Let h = y + 9. Let s be 1\/5*25\/10. What is the third biggest value in -0.3, h, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 10142202323?\nAnswer: -10142202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 772230 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 317753?\nAnswer: 317753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 451933.56437 and -8066.\nAnswer: 443867.56437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3 = -2*a, -2*a - g - 12 = g. Let y be 2*a\/6*(0 + 0). Is y at most as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308545487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(4 - 3 - 3)*(-7*b + 3*b + 13*b) + (-1 - 3*b + 1)*(-1 + 0 + 2) as f + m*b and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4 + 18*m**3 - 21*m**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2960, 2629, 2298, 1967, 1636?\n\"Answer: -331*u + 3291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 74082.88 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 450 = 7*z. What is the lowest common multiple of z and 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s + 6*s - 15202 = 3887. Is 710 > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = f + 2*f. Suppose 5*l = -4*m - 45, -4*m = -l - f*l + 37. Is 201\/15 - (-4)\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 124 + -6?\nAnswer: 11d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-490)\/1372*175\/13875.\nAnswer: -1\/222","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228449494*o**2 + 114224191*o**2 + 114225301*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184081 rounded to the nearest one thousand?\nAnswer: -2184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305413410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*c + 8010, 8*c - 2*l + 16028 = 12*c. Calculate the highest common factor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5440 divided by 16.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 506992133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5 + 11. Let c be ((-10)\/l)\/(-5) - 13\/3. Let x be -2*1 - 46\/(-22). What is the smallest value in c, x, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-4)\/12)\/((27\/3)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43913.43 milligrams to kilograms.\nAnswer: 0.04391343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 38*j = -45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 11:23 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59b3 + -426b?\nAnswer: 1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 3*r - 36. Let g be y(-5). Suppose 5228 = g*s + 1036. What are the prime factors of s?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 63 = 5*s + 62, b - 4*s = 45. Calculate the remainder when b is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - p = 0, -4*j + 5*p = -j + 8. Suppose -2 - j = -g. Suppose -3*q + 0 + 2*q**2 - 3*q - 2 + g*q**3 = 0. What is q?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 104412.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.0487, 28563, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/7, 43850818, -2, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-18)*c\/c**7 assuming c is positive.\nAnswer: c**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/140 + m**4\/14 - 16*m**3\/7 + 159*m**2\/2 + 8*m - 3. Let s(h) be the first derivative of i(h). Factor s(q).\nAnswer: 3*(q - 4)*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 4*m - 52. Let h be 12\/(-10) - (-20)\/m. Put -4, h, -6 in decreasing order.\nAnswer: h, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -323201, -323178, -323151, -323120, -323085, -323046, -323003?\nAnswer: -322956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 25. Let r = v - 12. Suppose -3*n + 2*n + 4*u - 5 = r, -4*n + 20 = 4*u. Solve 3*p - 17 = -i - i, -13 = 2*i - n*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 - 2*c + 7.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 + 7*n - 4. Determine l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (372 + -374)*(-2)\/(-1*(-3)\/(-45))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 6 - (-22 - (-30 + -7))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 39 - v - 39. Let k(u) = 1 - 43*u + 156*u - 1 - 3*u**2 - 53*u. What is r(k(i))?\nAnswer: 3*i**2 - 60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 940447.\nAnswer: 23, 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknkkkkkkk. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 287170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimiixhmiixcihhiii. Give prob of picking 1 m and 1 i.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190279310?\nAnswer: 2, 3, 5, 11, 17, 331, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754 is divided by 233?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**7\/42 + 7*m**6\/10 - 559*m**4\/12 - 1168*m**2. Find the second derivative of b(z) wrt z.\nAnswer: -60*z**2 + 504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 4. Let l be b(-6). Let u be 30\/l - (0 + 3). Let a = -3 + u. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -129 (b) -7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-396)\/21)\/(-11))\/((-28)\/(-98)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261255.\nAnswer: 3, 5, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 7, d: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*i**3 + 150*i**3 - 75*i**3)*((-i**2 + 2*i**2 + 2*i**2)*(2 - 10 - 13) - 5*i**2 + 2*i**2 + 5*i**2).\nAnswer: -1342*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460445?\nAnswer: 5, 17, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from {z: 1, u: 2, e: 10, h: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 6318.\nAnswer: 6318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228020476 + -81751.\nAnswer: -228102227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let b(g) = g. Give b(r(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = 4*a. Solve 3 = -a*x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -72, -56, -24, 30, 112, 228, 384, 586?\n\"Answer: s**3 + 2*s**2 + 3*s - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 20 = 6*f. Suppose 4*x + 10 = 5*r, r + 4*r - 10 = -x. What is the first derivative of -84 + x*j + 85 + f*j + 7*j wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)**(10\/13)*c\/((c\/c**(-6))\/c)*c\/((c*c**(-2\/11))\/c))**(-40) assuming c is positive.\nAnswer: c**(1680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*-2 + sqrt(78))*-6)\/(sqrt(6)*-2*5 + sqrt(6))*3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (1 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10418 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 6. Let y(m) = 2 - v + 4 - m. Let r(a) = -a**2. Calculate r(y(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111167328 divided by 55583664?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 5 (c) -0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58a (base 11) to base 15.\nAnswer: 31d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l**3 + 5*l**3 + 5*l + l**2 - 6*l**2. Let z(c) = -2*c - 4. Let r be z(-4). Determine n(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613925244 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 12 = 0, 27 = 377*n - 376*n + 4*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -5, 2\/3, 0.23, -1, 603, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3423, -5\/3, -3 in descending order.\nAnswer: -5\/3, -3, -5, -3423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/665 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 12. Let q(o) = -o - 4. Let m be 2\/(-6) - (-39)\/9. Let u(y) = m*x(y) + 11*q(y). Let j(r) = 2*r + 6. Give -5*j(k) + 8*u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-2)\/88). Let s = -430 - -479. Let g = x + s. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c + 108. Let p be b(35). Suppose 0 = -3*k, 4*w - 128 = 3*w + p*k. Calculate the highest common divisor of w and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10793097 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(1872)))**2 + 4.\nAnswer: -24*sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100392407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.4, 61, -965 in decreasing order.\nAnswer: 61, -0.4, -1, -965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2))**(-37\/5))**(-13\/4)\/((v**(-1))**(-19\/2))**(5\/3) assuming v is positive.\nAnswer: v**(-959\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 0.32. What is the closest to -2\/191 in -3, o, 2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.967561544 to three decimal places.\nAnswer: -7.968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2112)\/24882 + (-2)\/(-13). What is the closest to -3 in 0.3, 4, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 5, 861, 2.\nAnswer: 2, 5, 113, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**5\/13 + 12*j**4\/13 - 2*j**3\/13 - 48*j**2\/13 - 32*j\/13 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68512.12ug in grams?\nAnswer: 0.06851212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135540121, -135540122, -135540123, -135540124?\nAnswer: -135540125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 81 = -3*g. Suppose -6*o + 36 = -g*o. Solve -5*v + o*v = 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j**2 - 19*j - 203. Let y(b) = -b**2 - b. Let g(c) = -v(c) + 6*y(c). Let f be g(22). Solve 25 = -2*h + 7*h + d, -f*d + 9 = -4*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85 and 204?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 13, a: 3}. Give prob of sequence ama.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3302*j**3 + 4939*j**3 - 2*j)*(-4*j + j + j).\nAnswer: -3274*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10226887 or -10226890?\nAnswer: -10226890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 15 = 11*s. Let a be 118\/(-230) + s\/5. Let m(q) = -119*q - 832. Let x be m(-7). Does a = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -80 and 0.4.\nAnswer: -79.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 + 3*y**2 + 4*y**2 - 8*y**2 + 2*y**4 to the form i*y**2 + d + m*y + f*y**3 + n*y**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 8:31 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2229, 2 in ascending order.\nAnswer: 2, 4, 2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.4, -0.6, -2\/7 in decreasing order.\nAnswer: 0.4, -2\/7, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - v - 3. Let z be j(3). Let u(p) = -3*p + z*p - 3 - 13*p. Is u(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 225 + -217. Solve 5*g - 10 = -d, d - h = -4*g - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-280*t - 368*t + 46*t - 363*t)*(1 + 0 + 0) in the form m + g*t and give g.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = 239*p + 282*p - 523*p for p.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/3 + 98*i**3\/3 - 376*i**2\/3 = 0.\nAnswer: 0, 4, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5297 + -6019.2. Let m = 722.06966 + s. Let p = 0.13 + m. Round p to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 0*d**4 - 15*d**3 + 0*d**6 + 0*d + 0*d**2 - 5 + 57\/7*d**7 + 0*d**5. Find the third derivative of v(m) wrt m.\nAnswer: 6840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2523292?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 2*m - 2. What is a(7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1154)\/(-4) + 1\/(-2). Let z = -512 - y. What is z rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -33*o**2 - 399*o - 25. Let x be j(-12). Solve x*z = -8 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64827926 divided by -8\nAnswer: -32413963\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o. Let f(s) be the third derivative of 31*s**4\/24 + 75*s**2. What is f(t(j))?\nAnswer: 93*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213757 divided by -24.\nAnswer: 213757\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*q = s + 978, -4*s - 4*q + 1936 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 8*f - 13*f. Let m be f\/(-2*(-1)\/(-4)). Suppose -3*c + 73 = -4*b - b, -75 = -3*c + 3*b. Solve -m*r - c = 4*l, -3*r + 5*l + 4 = -12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 510*i**3 - 955*i**3 - i**4 + 466*i**3 + 2*i + 4 + i**2 as m*i**2 + t*i**3 + n*i + k*i**4 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 + (-7110)\/(-237).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*a**3)*(2 + 2 + 2) + a**3 - 4*a**3 + 0*a**3 + ((-2 - 1 + 2)*(-4 + 3 + 0) - 2 - 7 + 3)*(3*a - 3*a - 6*a**3).\nAnswer: 39*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t. Suppose -2*y - 4*i - 74 = 0, 2*y + 3*y + 5*i + 190 = t. Let r = -26 - y. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/22)*j*j**4*j)**(-25) assuming j is positive.\nAnswer: j**(-3375\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 251, 2, -29362?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -3. Let n = 2\/65 - -57\/260. Which is greater: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190098 a multiple of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28532 - -28991. Calculate the highest common divisor of g and 1323.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:25 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1279*y**2. Let c(g) = -68*g**2 + 8. Let f(a) = -77*a**2 + 9. Let v(u) = 9*c(u) - 8*f(u). What is m(v(h))?\nAnswer: 20464*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 655717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 896323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-387)*(-4380)\/6424. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 19. Calculate l(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v + 108. Let n = -142 - -164. Let b be s(n). What is the highest common divisor of 462 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42232156 by -6.\nAnswer: 21116078\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1692 and 27318186.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3 + (-1 + 3 + 0)*(-1 + 2 - 2) - 2 + 1 - 1 + 0 - 1 + 3 - 6 - 53 + 5)*(3 + 0 - 1)*(-11*v + 2 - 2).\nAnswer: 1210*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -22. Put 4, 1, h in decreasing order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1520311 less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.752 and -4.\nAnswer: -27.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 2, o: 1, r: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 44976*k**3 + 19207317*k**2 - 19252296*k = 0. Calculate k.\nAnswer: -14552, -441, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67944 divided by 6?\nAnswer: -11324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271062 = -1253*v - 1485*v for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 3411, -0.3.\nAnswer: -0.3, -2\/15, 3411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.8 (c) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2))**(-31))**(-1\/15)\/((x*x**(4\/5)*x**(-3\/8))\/(x**5\/(x\/(x*x\/((x*((x*x\/(x*x**(-3\/7)))\/x)\/x)\/x)*x)))) assuming x is positive.\nAnswer: x**(1691\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k + 475 = 0. Calculate the highest common factor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h**2 - 2*h. What is z(3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a gram in milligrams?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2281497 - 96346. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/936525 and 73\/8010.\nAnswer: 500104350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*i)*(6*i - i - 2*i) - 567*i**2 + 566*i**2 - 7 + 4 - 204*i.\nAnswer: 11*i**2 - 204*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 11.4157?\nAnswer: -102.7413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (sqrt(26) - sqrt(156)\/(sqrt(54) - sqrt(6))))\/(sqrt(2) - sqrt(22)\/(sqrt(11)*-2) - sqrt(2)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8395 divided by 3953?\nAnswer: 8395\/3953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-168))\/((144\/189)\/(-2))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j + 10. Let o = -10 + 3. Let u = 8 + o. Let n(s) = s - 6. Let b be n(-6). Let a(h) = 1. What is b*a(m) + u*z(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 3*r**2 + 3*r**2)*(0*r**2 - r**2 + 0*r**2) + 0*r**5 - 2*r**5 + 3*r**5 + 4*r**5 - 5*r**5 - r**5 + (3*r - 3*r - 2*r)*(-2*r**4 - 10 + 10).\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 635 = -0*c. Let y = c - -165. What is the highest common factor of y and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.8, -1\/4 in decreasing order.\nAnswer: 0.8, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*j**3 + 46*j**2 - 10.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 20*i + 102\/5.\nAnswer: -2*(i - 1)*(i + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + m - m + m - 1 + 1 - 1 - m + 1 + (-6*m + m + 3*m)*(-4 + 3 + 0) + 4*m - 20 + 22 - m.\nAnswer: 7*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**4\/28 - 2*g**3\/3 - 34*g**2\/7 - 72*g\/7 - 106. Factor c(d).\nAnswer: (d - 18)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55 + -2.55. Let p = 0.115 - 0.015. Which is the nearest to -1\/3? (a) 3 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.3311 and 1.02?\nAnswer: -6.457722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o. Suppose -v + 5*t + 18 = 0, 3*t + 15 = -2*t. Suppose 2*b - 7 = v. Let p(g) = 2*g**2 - 2*g**2 - b*g**2. What is i(p(z))?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1199, 2405, 3611, 4817, 6023, 7229?\n\"Answer: 1206*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 40609 + 147777 = 0. List the prime factors of b.\nAnswer: 2, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from {x: 4, v: 3, c: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3565 and 1495.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/((-24)\/40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 0*y**2 + 0*y**3 - 1 - y**2 - y**3 + 2*y**2 - 2*y**2 + (-10*y**3 + 24*y**3 - 11*y**3)*(1 - 15 - 36) to g*y**2 + f*y + c + z*y**3 and give z.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1571208 divided by 392802\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55217225 is divided by 13804298?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 715778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2482, 0, -0.2?\nAnswer: -2482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -37, -80, -163, -298, -497, -772, -1135?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 536\/3 - 896\/5. Calculate the common denominator of l and 13\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46454 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*j*p + 202370*f**3*p + 431*f**2*j*p - 16*f**2*p - f**2 + 269*f*j wrt f?\nAnswer: 6*j*p + 1214220*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 183 + 355 - 149 + 192)*(5 - 5 + 51*p) to the form f*p + d and give f.\nAnswer: 26214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Let j = 9977 + -309284\/31. Which is greater: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 101. Let x(b) = 9 + b**3 - 5 + b**2 - b - 4 + m. Calculate x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**5\/140 - 59*z**4\/56 - 380*z**3\/7 - 1288*z**2 - 2*z. Let p(h) = 0. Calculate h.\nAnswer: -40, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3*3*3\/(-135).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -89*n**7\/42 - n**6\/15 + 515*n**4\/12 - 16*n + 3. What is the third derivative of c(w) wrt w?\nAnswer: -5340*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*l**3 + 3385*l**2 + 224*l**3 - 3385*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/22 - ((-139265)\/(-5775) - 22))\/((-53)\/159)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2*-6*(1 + 4 + 5 + sqrt(605)*-3 + sqrt(605)))**2.\nAnswer: -190080*sqrt(5) + 1088640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 39*z**2 + 101*z + 24. What are the prime factors of s(41)?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 + 44721 - s**4 + 26*s**2 - 44722 + 3*s to the form v + t*s**3 + n*s + z*s**4 + h*s**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -22. Suppose -2*s - l = -4*s. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 5*r**2 + 202*r - 101. What is y(-12)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897920379?\nAnswer: 1861, 1019839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027*f - 4472 + 2464 = 3127. Let r(l) = -l - 2. Let i be r(-6). Sort i, -2, f, 2 in decreasing order.\nAnswer: f, i, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 7*g**2 + 9*g**2 - 4 + 3*g + 6 as t*g + w*g**2 + y and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6399321 is divided by 370.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-308)\/(-187))\/(-28) + 20475\/119 is divided by (-2 + 4)*29\/1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 4.1, 2, 1\/2, 4 in decreasing order.\nAnswer: 4.1, 4, 2, 1\/2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1844 + 13.1844. Which is the closest to -0.1? (a) d (b) 3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6134892 to the power of 1\/2, to the nearest integer?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-f**2 + 1 - 1) + 4*f**2 - 6*f**2 + 3*f**2 - f**2 + f**2 - f**2 - 535 + 270 + 26 - f**2 in the form t*f**2 + v*f + u and give u.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + 27. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78863122 to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*j - 4*v - 12, j - 3*v - 7 = 0. Suppose -16*x - 160 = -k - 14*x, -470 = -3*k + j*x. What is the greatest common divisor of k and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 49*g + 22*g - 728. Solve 5*h + 15 = -18*w + g*w, 2*h - 19 = 3*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ilxl when four letters picked without replacement from qdzilqlx?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n\/(n*n\/(n*n**12)))\/n)**(-1))**(7\/11) assuming n is positive.\nAnswer: n**(-91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {g: 1, r: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y - 67070 = 61070. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 4*q + 17. Let j be i(0). Let w = 1945 - 1928. Calculate the highest common divisor of j and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -97441, -97442, -97443, -97444?\n\"Answer: -v - 97440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-954)\/30. Is (-30)\/(-5)*(-1)\/(-2) - f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:51 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.4 + 66. Let o = -2.6 + t. What is the second biggest value in o, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792240 and 2960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r - 25. Let n be (0 - -1) + -1 + 4 + r. Solve n*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7\/2)\/(3\/6). Let m = z + -5. Suppose -3*r + 3*n + 3 = -r, -4*n + 4 = 0. Put r, m, 4 in decreasing order.\nAnswer: 4, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 4*z**2 + 0*z**2. Let n(x) = -12*x**2 + 1791*x - 1791*x. Calculate n(y(q)).\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - (-9 - -21)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 6*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659589333.\nAnswer: 3, 13, 139, 281, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 3 = -c, 3*v + 3 = c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/18885 and -61\/35.\nAnswer: 132195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(176) - (sqrt(176) + sqrt(176)*-2 + sqrt(176))) + 0)**2 - sqrt(176)) + sqrt(176) + (-5*sqrt(176))**2 + 4).\nAnswer: 13740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + u = -a + 21, 0 = -5*a + 5*u + 45. What is the second derivative of c**4 + a*c + 0*c**4 + 0*c - 11*c**4 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 33*n**2 - 34*n + 105. Let o = 136 + -104. Let d be w(o). What is the greatest common factor of 82 and d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = -4*d, 4*l - 5*d + 13 + 6 = 0. Let b be l\/(0 + (-1)\/2). Let z(u) = 4*u**2 + b*u**2 + 1 - 5*u**2. What is z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 1, o: 5, g: 2, j: 5, n: 2}. Give prob of sequence lo.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 133159 = -68801. List the prime factors of i.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, m: 2}. What is prob of sequence mmt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s - 4. Let h(g) = -6*g + 3*g + 2*g - 1. Let d(b) = 3*h(b) + u(b). Let j be d(-5). What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - (1 - 0))) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -21*k**3 + 418*k**2 + 52*k - 215. What is u(20)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.1, 202, 0, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 4 + 60*w**2 - 35*w**2 - 3 + 5*w - 30*w**2. Let o be m(-6). Suppose n = -o*n + 1632. Is 43 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/529504 and -49\/198564.\nAnswer: 1588512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 16. Suppose -29 = -2*u - c*p, 2*p - 5 = -2*u + 9. Let h(y) = y**3 - 2*y**2 + 2*y - 1. What is the units digit of h(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/4 - 7*t**3\/3 + 5*t**2\/2 - 7*t. Let l be b(-6). Is 112\/4*l*(-1)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + 6e0c?\nAnswer: 6e25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2440*t + 61006. Determine m(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*s + s - 387 + 807. Sort 9, -1, 7, s in increasing order.\nAnswer: s, -1, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0037179 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -41*d**3 + 2*d**2 - 10*d + 2. Let n(h) = 124*h**3 - 7*h**2 + 31*h - 7. Give 2*n(u) + 7*o(u).\nAnswer: -39*u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 670633 to the nearest one thousand.\nAnswer: 671000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.939 + -0.061. Let o = r + -1. Let z = -10.9 - o. What is the third smallest value in 1\/5, -7, z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*b = -165*b + 27. Suppose -4*x + 35 + 2 = -3*p, 3*x - p = 24. Suppose -d + 22 - x = 0. Calculate the greatest common factor of b and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 8 (c) 10 (d) 0 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-10)*((-1925)\/(-22))\/(-25)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-360) + (-78)\/(-130). Suppose i*d**2 + 100\/9 - 40\/9*d = 0. What is d?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 4)*(-26*o - 44*o + 10*o) + 5 - 2*o - 5.\nAnswer: -482*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3586*m**2 + 7*m - m**3 - 3586*m**2.\nAnswer: -m**3 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152059, -152060, -152061, -152062, -152063, -152064?\nAnswer: -152065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 6*s**2 - 190*s + 46. Determine n(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whlv when four letters picked without replacement from hwllv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1146548 and 9260580.\nAnswer: 120387540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-3\/7))\/(h\/(h**(1\/11)\/h)))**(3\/37)\/((h**(-2\/5)\/h)**(-2\/43)*(h*(h*h**(2\/9)\/h*h)\/h)\/h**(-5)) assuming h is positive.\nAnswer: h**(-35258849\/5512815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -12*d**2 - 10*d - 2. Let a(x) = -35*x**2 - 30*x - 7. Calculate 2*a(i) - 7*q(i).\nAnswer: 14*i**2 + 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 4*o + 1. Let u = 28 - 31. What is y(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -y + 3*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwaacwaaawawwwaa. What is prob of picking 4 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109929198.\nAnswer: 2, 3, 29, 61, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z + 12. Suppose -2*v = 4 + z. Let y(l) = -l**3 - 5*l**2 + 6. What are the prime factors of y(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {r: 9, l: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 25*l - 144.\nAnswer: -(l + 9)*(l + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 2*q + 5. Determine s(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 11. Let n be d(0). Let q = -8 - n. Let o be q\/(-2) - (-23)\/(-46). Put -13, o, 1 in decreasing order.\nAnswer: 1, o, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 229, 230, 243, 274, 329, 414, 535, 698?\n\"Answer: b**3 - 6*b + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -556*t + 1081*t - 543*t + 70848. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009243872 rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u*(u\/(u\/u**2))\/u*u**(-2\/3)*u**(5\/6))\/(u**(-2)*u\/u**(-4)*(u*u**0)**(11\/3)) assuming u is positive.\nAnswer: u**(-37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16072 divided by -392.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3997, -4289, -5093, -6667, -9269, -13157, -18589?\nAnswer: -25823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(39)\/sqrt(3) + -1 + sqrt(39)\/sqrt(3)*5.\nAnswer: -1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-40)*-4)\/((-40)\/96)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64776841 and 562561.\nAnswer: 13721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*1022464\nAnswer: 306739.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.256 + -0.206. What is the nearest to s in -1\/3, -1\/8, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2))\/(2\/4). Let a be -2*(2\/(-8) + 9\/(-12)). Solve 4*l + g + 10 = a*g, t*l + 14 = 2*g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -34*u**3 + 9*u**2 + 18*u + 15. Let r be l(-4). Suppose -7*a + 15 = -4*a, 0 = 2*d - 3*a - r. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23653 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7811 - 267. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 2*y**2 + 1\/1260*y**6 + 0*y**4 + 1\/6*y**3 + 0*y**5 + 0*y + 0. Let v(q) be the first derivative of w(q). Factor v(p).\nAnswer: 2*p**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.328 + 7.54876. What is y rounded to two dps?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.6 times -0.1\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 19. Suppose 2*y - 7*o + 4*o - 5 = 0, 2*o = -g*y. Solve 3*z = -5 - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 478092+84.97475\nAnswer: 478176.97475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31226 is divided by 122.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 148 + 3*u - 14 to l + t*u and give l.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -19*v**6\/30 + 17*v**3\/6 - 3*v - 1. What is the second derivative of m(w) wrt w?\nAnswer: -228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35184169 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -2 + (-68 - (-6 + 14 + -16)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2. Let r(d) be the third derivative of -1\/8*d**4 + 0*d**3 + 0*d - d**2 + 0. What is n(r(o))?\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 1909.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7517, -15039, -22545, -30035, -37509?\nAnswer: -44967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -4. Let g(m) = -m**3 - 2*m**2 - 3*m + 7. Let q be g(r). Suppose 4 = -2*w, -5*c = -w - 0*w - q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1457 (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 800 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -207*b + 6598. Is 56 a factor of w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvfee. What is prob of picking 2 v, 1 e, and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98 + -98.51. Let w = 0.49 - y. Which is the third smallest value? (a) -0.4 (b) w (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*p**2 + 69*p**2 - 85*p**2 - 631*p**2.\nAnswer: -695*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/30 + 2*o**4\/3 + 5*o**3\/6 - 15*o**2 + 55*o. Give v(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723357 is divided by 11467?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**2*w**3 - 21*s**2*w**2 + 16*s**2 - 179875*s*w**3 - 6*s - 3*w**3 - 24*w**2 - 2*w wrt w?\nAnswer: -6*s**2 - 1079250*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.37? (a) 1\/256 (b) 0 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 29*j**2 - 91*j - 149. Calculate k(15).\nAnswer: 1636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -161271140 + 0?\nAnswer: -161271140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 65*z - 150 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -16. Suppose 0 = -0*n + k*n. Is 6 a factor of (-18)\/(-12)*(8 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-24) + 4)\/(10\/3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 72*b + 6*b + 20*b - 1246854. What are the prime factors of b?\nAnswer: 3, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v + 45*v + 94*v + 30*v)*(-4 + 3 - 1).\nAnswer: -356*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mym when three letters picked without replacement from {d: 5, e: 1, y: 6, m: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/(6\/18). Let v(q) = -7 + 6 + y + 12*q. Let k(a) = -4*a. Determine v(k(c)).\nAnswer: -48*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/sqrt(6)*-4 + (-5*sqrt(104))\/sqrt(8))**2*-2.\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of (-116 - 30)*(14\/(-16))\/((-2)\/(-232))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*k - 195 = -18*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*y + 0*y + 16 + 2 to v*y + i and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 2835?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 19*c**2 - 13. What is u(-19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4694, 4583, 4472?\nAnswer: 4361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1\/18))\/(v\/(v\/v**(-11\/3)))*v\/(v*v\/(v\/(v*v\/(((v*v**(-2\/5))\/v)\/v)))*v)*v\/(v\/((((v*v**(-15))\/v)\/v)\/v)*v) assuming v is positive.\nAnswer: v**(-1591\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49287.9 - -49288. Suppose x + 2*x + 18 = -5*v, 0 = -x - 4*v - 13. Let t be (3 - 2) + x + -4. Sort 71, c, t in descending order.\nAnswer: 71, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (339\/45 - -1). Let w = 32\/3 + c. Is w greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 437 or 498?\nAnswer: 437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 532, -3, -11, -5 in ascending order.\nAnswer: -11, -5, -3, 4, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 + 5*r**3 + r**3 - 27*r + 11*r**3 + 25*r to the form t*r**2 + j*r**3 + v*r + i*r**4 + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 882730 a multiple of 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 7:03 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -17*m**3 + 5*m**2 - 5*m + 5. Let w = 146859 + -146854. Let n(h) = 8*h**3 - 2*h**2 + 2*h - 2. Let x be 3\/(-2)*(-4)\/3. Calculate w*n(v) + x*f(v).\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.7889 - -3.6889. Which is the second biggest value? (a) 0.94 (b) -3\/7 (c) h (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.995 + 0.005. Let c = 0.2 + 0. Let w be (-2)\/(-32)*-2 - 0. Put w, c, l in descending order.\nAnswer: l, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1473 = -1939. Let c = -367 - p. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/1462)\/(-3 + 1). Let w = 2938\/5117 - d. Which is the third smallest value? (a) w (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249 + 262. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyqtyhhul. Give prob of sequence huq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 2*d**2 - d**2)*(4*d**2 - 3*d**2 + 0*d**2) - 2*d**4 - 2*d**3 + 2*d**3 + 35 - 35 + 8*d**4 to l + s*d**3 + g*d**2 + o*d + y*d**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 11 (c) 0.4 (d) -1 (e) -0.2 (f) 4.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(3 - 1) - (-266 + 242)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - d + 1. Calculate the remainder when i(2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001228159 rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27 * 227.\nAnswer: 61.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1518?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, 93, 150, 229?\n\"Answer: 11*y**2 + 2*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -3, 2, 3 in ascending order.\nAnswer: -33, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -8\/9, -24?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 446?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.028108 rounded to 3 decimal places?\nAnswer: -6.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -205*i + 29. Let l be v(4). Let p = l + 1164. What are the prime factors of p?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-11805)\/(-30))\/((-1)\/(-2)). Let f = p - 310. Is 53 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 29. Let y be (-153)\/m - (-6)\/(-10). Put -1, y, -3 in decreasing order.\nAnswer: -1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/5)\/(m*m**(3\/7)\/m)*m**(-2\/3)*m\/(m\/(m\/(m**(-4)*m))) assuming m is positive.\nAnswer: m**(221\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*q = -9, 4*q - 12 = -177*c - 181*c + 360*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(108) + -4 - (sqrt(54)\/sqrt(6))\/sqrt(3))**2.\nAnswer: -160*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/7)\/f)\/f)\/f**4)**7*(f*f*f**0)**(2\/43)\/(f\/(f*f*f*f\/f**(-3)*f*f*f)*f*f*f\/f**(-1\/5)) assuming f is positive.\nAnswer: f**(-7548\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 56 = -6. Let m = 12 - l. Let h be 2\/(-4) + 11\/m. Solve h = -3*t + 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -145\/946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 84078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.116, 2\/17, 43 in ascending order.\nAnswer: -0.116, 2\/17, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 5*y + y**4 + 10*y - 3*y to the form h*y**3 + m*y + n*y**2 + f*y**4 + b and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5634, 10831, 16028, 21225, 26422?\n\"Answer: 5197*d + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/5, 0.3, -5, -13\/3 in decreasing order.\nAnswer: 0.3, -1\/5, -1\/4, -13\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8 and -17\/104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 14*x + 9*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 28864?\nAnswer: 28864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 651372330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -21 - 8 - 32) + -9?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5583345.43 rounded to the nearest one thousand?\nAnswer: -5583000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = 7*m. Suppose i - 2*a + 5*a = m, 0 = 5*a. Solve -i*l - 3*v = -8, 5*l + v + 0*v = 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166 + 158 + 3)*(-3*r + 3*r + 2*r**5).\nAnswer: 654*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*o + 364 - 374 = -262. Let j(i) = -4*i - 21. Determine j(o).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.55 + 2.35. Let j = t - -0.1. What is the biggest value in 0.3, 8, j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16947715 to the nearest ten thousand.\nAnswer: -16950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k - 4*i - 13, -2*k - 3*i = 6. Let m(q) = -29*q + 17. Let t(v) = -87*v + 50. Let x(j) = k*t(j) - 8*m(j). Differentiate x(c) with respect to c.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -2, 27, 90, 199, 366?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 133128 = i, 13608 = b - i - 13012. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 620001, 619999, 619995, 619989, 619981?\n\"Answer: -p**2 + p + 620001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (100\/56 - 2) + (-1890)\/(-2646). Suppose 3\/2*l**3 + 5\/2*l**2 - s*l**4 + l + 0 - 1\/2*l**5 = 0. What is l?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - 2) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*(-3)\/(-36))\/(29\/(-16800222)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4d - 5?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-4))\/(-8 + (-1595)\/(-198)). Calculate the greatest common factor of h and 2961.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2.8, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3549 is divided by 345?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112352.\nAnswer: 2, 19, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216 divided by 460?\nAnswer: -804\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.06 - 0.06. Let i = k + -6. Let t = i - 2. What is the biggest value in 4\/7, -0.3, t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/9, -5\/2, -6\/7, -9, 3\/5, 4\/17, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2541\/154)\/((-3)\/(-68)). Let w = x + 940. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 5 = -u - 6*v, -5*u - 5*v = 25. Find the second derivative of u*s**2 - 3 + s - 17*s**5 + s**2 - 5*s**2 + 22*s**5 wrt s.\nAnswer: 100*s**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.8 - 28. Which is the nearest to 0? (a) k (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/6174 and (5\/12)\/(-3*((-77)\/(-627))\/7)?\nAnswer: 12348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 - 14271*v - 14268 = 0. Calculate v.\nAnswer: -4756, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.36 and -4206.\nAnswer: -4204.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*1\/6 + 876\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69b (base 15) to base 14\nAnswer: 78c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2095, -7230, -15791, -27778?\nAnswer: -43191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(1\/2)))\/n*n**(5\/2)\/n)\/(n**9\/(n\/(n**(-8)\/n)*n)) assuming n is positive.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-2450)\/(-1470) - 106\/6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 67*p. Let v(z) = z. What is i(v(j))?\nAnswer: 67*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -9 + (2 - 2) - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - -1) + -4 - (-6 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*d + 34 = 3*d, -i + 8 = d. Suppose 0 = -2*u + i*u - 122. Suppose -10 = -5*o, 4*o = -2*z + 136 + u. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1210504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let l(q) = q**2 + q. Let m(r) = -7*r**2 - 5*r. Let a(i) = -5*l(i) - m(i). What is x(a(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - z + 4*z)*(z**2 + 3*z**4 - z**2 - z**2).\nAnswer: 6*z**5 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**3*k + 41*j*k**2 - 152*k**2 wrt j?\nAnswer: -3*j**2*k + 41*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/776 and -127\/336.\nAnswer: 32592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/7 + 446*u**4\/7 + 4646*u**3\/7 + 3298*u**2\/7 - 8388*u\/7 = 0 for u.\nAnswer: -9, -2, 0, 1, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40\/3 - -13. Let s be (-3)\/(6\/10) - 874\/(-161). Put q, s, 3\/5 in decreasing order.\nAnswer: 3\/5, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267715 to the power of 1\/2, to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24069734621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72858866 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.2 + 11.2. Let g = 184111965 - 184111970.99999928. Let t = u - g. Round t to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*c = 110, 2*l - 4*l + c - 80 = 0. Let t = -23 - l. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c - 1. Let b be z(-2). Suppose j + j = -b*q + 5, -q - 21 = -5*j. Suppose 1512 = j*y + 2*y. Calculate the highest common factor of y and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 6901\nAnswer: 285\/6901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -912, -3694, -8326, -14808, -23140, -33322, -45354?\n\"Answer: -925*n**2 - 7*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.963 - -3.96. Let r = 10 + z. What is r rounded to four dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*d**3*m**2 + 8*d**3 + 54*d**2*m**2 + d*m + 6939*m**2 wrt d?\nAnswer: 468*d*m**2 + 48*d + 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 94826 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -8?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5)*(-20)\/16. Let w = -8.95571 + -0.04429. What is the closest to w in -7, i, -1\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -19319413.\nAnswer: 5795823.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -8*n + 3. Let h be c(-9). Calculate the greatest common divisor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i - 1. Let t(o) = -6*o - 7. Let x(y) = -3*r(y) - t(y). What are the prime factors of x(11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/27 and -47\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:08 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*j - 70 = 3*j, -344 = -5*t - j. Is t > 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 2\/119, -7, 1.4, 3, -371?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/480 - 13*n**5\/240 - 2*n**4\/3 - 17*n**3\/6 - n**2 + 9*n - 186. Find v such that l(v) = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 2:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/22*(-649)\/6903*26*6\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 43*k**2. Let b(z) = -4650578*z. What is f(b(u))?\nAnswer: 929998656565612*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32849, 263084, 888195, 2105678, 4113029?\n\"Answer: 32916*h**3 - 58*h**2 - 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1734*v. Let r(o) = 16*o**2 - 2*o. What is r(p(y))?\nAnswer: 48108096*y**2 - 3468*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -298*o**2 + 44*o**2 - o + 4 + 110*o**2 + (7*o + 3*o - 2*o)*(o - o - o).\nAnswer: -152*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(78)*-1*-6)\/(sqrt(54)\/sqrt(36)*3*4))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11013210 (base 5) in base 11?\nAnswer: -65257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8\/5)*d*d*d**30 assuming d is positive.\nAnswer: d**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43131 and 858?\nAnswer: 1121406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.3 minus -1094?\nAnswer: 1172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34296 divided by -8\nAnswer: 4287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 16. Let q be j(-8). Calculate the common denominator of -99\/40 and (6 - q)*121\/44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 15*h**3 - 20*h**2 - 60*h.\nAnswer: 5*h*(h - 2)*(h + 2)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 180, 319, 492, 699, 940?\nAnswer: 1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 84, 316, 766, 1506, 2608, 4144?\nAnswer: 6186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 + b**4\/3 + 2*b**3\/3 + 3*b**2\/2 - 2*b. Let u be t(-3). Is u <= 1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvzcjvvcvvvv. Give prob of picking 2 j.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -3.5.\nAnswer: -10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 207 and 235911?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -563 + -58?\nAnswer: -5bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 5*v**2 + 7*v - 15. Let l(w) = 3*w**3 + 11*w**2 + 15*w - 29. Let t(b) = -3*l(b) + 5*n(b). What are the prime factors of t(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*z + 23 = -4*z, 5*n - 4*z = 55. Let l = n + 2. What is the third derivative of -101*o**6 + 2*o**2 + 58*o**6 + l*o - o**2 wrt o?\nAnswer: -5160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10101011000011011010000?\nAnswer: 10101011000011011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.037747 and -889.\nAnswer: 33.557083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:22 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 253, 531, 909, 1381, 1941?\nAnswer: 2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*b**4 - 26*b**4 + 44*b**4 + 4*b**4 - 3*b**4 + b**4 + (3*b**3 + b**3 - 2*b**3)*(-2*b - 3*b + 6*b))*(0*b + 3*b - 5*b).\nAnswer: -124*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -662905 * 1196\nAnswer: -792834380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -27*s + 1. Let f(g) = -88*g**2 - 88*g**2 - 84*g**2 + 262*g**2. What is f(x(p))?\nAnswer: 1458*p**2 - 108*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6357 = -982*z + 10285 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3, -m = -3*i - 0*m + 21. Let a be 0\/12 + 0 + i. Let x(l) = 6*l - 13. Let s be x(3). Solve s*r = -20, 2*d - 4*d = -2*r - a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**7\/945 + 30*c**2. Solve f(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-14547\nAnswer: -5818.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 + y**2 - 5*y\/4 + 1\/2.\nAnswer: -(y - 2)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -97, -3, -4 in descending order.\nAnswer: -3, -4, -5, -10, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264\/18683 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 + 0*y**2)*(y - 2*y - 5*y) + (-3*y**2 + 4*y**2 + y**2)*(0 - 10*y + 0).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 721885 is divided by 4216?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1210.31 + 1198. Let l = t - -0.31. Let z = -12.3 - l. What is the third biggest value in -3, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2317.7+-187\nAnswer: -2504.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148897 is divided by 97?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -117*k + 112*k, -5*k = 4*a - 16288. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.015.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/45)\/((-8)\/(-10)). Which is the closest to -2\/9? (a) 0.06 (b) j (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/96*622\/2177?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*f**2 - 335*f**2 + 657*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 3455*r + 65875. What is a(-19)?\nAnswer: 591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 7*x + m + 2*m, 5*x = 116*m + 114*m - 233*m - 85 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*n = 4*z - 82, 2*n - 34 = -2*z. Suppose 57 = -0*p + z*p. What is the greatest common factor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-438)\/(-65627))\/(90\/930)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/188712200 and 47\/10.\nAnswer: 188712200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**2 + 33*p**2 - 16*p**2)*(-1 - p + 2 + 2).\nAnswer: -24*p**3 + 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u + 6. Let q(i) = i**3 + 3*i**2 - 3. Let w be q(u). Is (w\/(-4))\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/476 and 81\/29546.\nAnswer: 413644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 62, 3, -52, 8, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91109 is divided by 2679.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:04 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - 1222*u**2 + 4885*u\/2 - 1221.\nAnswer: (u - 2442)*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129186.9784 + 0.0216. Let o = 129188.39991 - d. Let u = o - 1.4. What is u rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030233 (base 4) in base 3?\nAnswer: -20201220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1706119, 1706014, 1705909, 1705804, 1705699, 1705594?\n\"Answer: -105*x + 1706224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - k = 2. Sort 5, k, 2 in decreasing order.\nAnswer: 5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*z**2 + 11*z**4 - 12*z**2)*(105*z - 29 - 116*z + 108*z + 160*z + 32).\nAnswer: 2827*z**5 + 33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(363) - sqrt(363)) + (sqrt(363) - sqrt(363)*-1 - sqrt(363))*-2)**2 - ((sqrt(108) + 0 + 4)**2 + 1).\nAnswer: -48*sqrt(3) + 43798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 378682 and 8?\nAnswer: 1514728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353\/119 - 31\/17. Find t, given that 0 + 32\/7*t**2 + 18\/7*t**4 + 6*t**3 + q*t = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/64*-24*(-16)\/108*-3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021822465 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30, 43, 40, 15, -38?\n\"Answer: -j**3 - 2*j**2 + 26*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -33385*x**2 - 300463*x + 16. Give s(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2820 = -3*w, -3*w - 7041 = 3*z + 2*z. Let l = z + 2114. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 12) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, -0.3 in ascending order.\nAnswer: -10, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.926701 nanometers?\nAnswer: 0.000000000008926701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - 3)*(0 - 1). Let q(o) be the first derivative of -o**3\/3 - o**2 + 3*o + 524. Give q(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59192528263\/4674528 - 86\/146079. Let n = o - 12665. Calculate the common denominator of n and 17\/22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*p**5 - 10*p - 3.\nAnswer: 1760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 - -193. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3404300 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a**3 - a**2 + 22*a - 22. What is m(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1.2. Let l be -4 - (0 + 1977\/(-468)). Let m = l - -1\/39. Which is the second biggest value? (a) f (b) 2\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8200, 16398, 24596, 32794, 40992?\nAnswer: 49190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 41*g**3\/3 + 1. Let w(b) = -7*b + 39*b - 27*b - b - 2*b. What is h(w(j))?\nAnswer: 164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14584116395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3077 + 3077 - 3892*o**2)*(4 - 4 - o**2) to the form i*o**4 + m*o + t + q*o**2 + b*o**3 and give i.\nAnswer: 3892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = -6*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 998514204 minus 78410?\nAnswer: 998435794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 5*u + 2. Is z(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08260071 rounded to 3 dps?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426377452?\nAnswer: 2, 17, 20976139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44924 and -2314.\nAnswer: 103954136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-49)\/(-98)*(1898 + 2) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 116. Calculate the highest common factor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8 = -7*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1331*j**5 - 1338*j - 1200*j**2 - 55 + 15 - 59741*j**3 - 13913*j**2 - 23595*j**4.\nAnswer: (j - 20)*(j + 2)*(11*j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*r, 3*r = 2*m - 2*r - 20. Differentiate m - 4*q**2 - 6 - 2*q**2 wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/29))\/(b**8\/b)*(b**(-2)*b)**(4\/7) assuming b is positive.\nAnswer: b**(-1320\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -16 (c) 0.1 (d) 3\/16 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.41 - 27. Let h = 0.47 + t. Let l = 0.32 + h. What is the fourth biggest value in -34, 2, l, 0.1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpxz when four letters picked without replacement from xpxzpzxxzxzxzxxx.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1275 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-3))\/((-192)\/24))\/((-8)\/(-36)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/41 or 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226285417 is divided by 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1136 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/6741449 and 26\/518573.\nAnswer: 6741449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21197? (a) -233 (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/7 - 292*w**4\/7 - 6*w**3\/7 + 872*w**2\/7 + 584*w\/7 = 0. What is w?\nAnswer: -1, 0, 2, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - ((-136)\/40 - 1). Let u = 7 + -7.1. Which is the closest to -3? (a) k (b) u (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15043912 and 791631.7.\nAnswer: 15835543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0 + 3 - t + 2 - 4. Let f(p) = 4*p - 3. Let u(x) = f(x) + 3*s(x). Let c(z) = -4*z + 1. Give c(w) + 5*u(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/40)\/(3\/(-1524)).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 p when four letters picked without replacement from ssamsaaapapamaammaa?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7354072?\nAnswer: 2, 11, 193, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*n - 21 + 66 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/225)\/(-1))\/(-17 + 4769\/285).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 91 - 156, -8*r + 0*r + 2*f = 42 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -123*f + 79*f + 341*f to the form c*f + g and give c.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -0.5, 0.098, 0.2, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 g when four letters picked without replacement from {g: 2, c: 4, q: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0949 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/7 greater than 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 18*k**2 + 9*k + 354. Give m(-17).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4282.844t in milligrams?\nAnswer: 4282844000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7133, -14290, -21447, -28604, -35761, -42918?\nAnswer: -50075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-8)\/(32\/(-15))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*m + 0 - 2 = 0, 4*z = 2*m + 8. Find the second derivative of -x + 2*x - z*x + 2*x**2 - 6*x**2 wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*j - 47599 = 2114 for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 20. Suppose k - 21 = -2*j - 0*k, -5*j = -k - 63. What is the least common multiple of y and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 72 = -4*d, -2*m + 72 = 4*d - 10. Suppose -d + 26 = 3*f. Solve 0 = c - 2*w + 1 + 3, -5*w = 2*c - f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(147) - (-2 + (2*sqrt(147))**2)).\nAnswer: -582 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49 times 328316?\nAnswer: 160874.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 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: Suppose 0 = 2*a + 3*a - 25, -5*c + 1285 = -2*a. Calculate the highest common factor of 37 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -509 + 362. Let j = z + 148.144. Let i = j - 1.1. Round i to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 2*x + 5*x)*(x**2 - x + x)*(4*x - 5*x + 0*x).\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (33\/407*37)\/((-4)\/1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-14))\/(3\/60*2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 462 and 5502.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 40*a + 115. Let k be w(-3). Put -70, k, -2 in increasing order.\nAnswer: -70, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/55*(-22)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 5, t: 3, v: 5, a: 2, l: 4}. What is prob of picking 1 i and 1 l?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 53177056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41300 is divided by 263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose -2*s + 6 = -3*h, s - 5*h - 3 = -m*h. Calculate the greatest common factor of 33 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 0 + 3 + 0 + 4*a - a**2. What is the smallest common multiple of 4 and o(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 1. Let k(b) be the third derivative of 2*b**5\/15 - b**3\/2 + 11*b**2 + 40. Determine -5*k(v) - 15*x(v).\nAnswer: -25*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -1.4. Let i = m + -1.6. Which is the second smallest value? (a) 0.5 (b) 0.06 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -26 + 7*z**2 + 16*z**3 + 3*z - 21*z**3 + 4. What is the units digit of g(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = -6*v, s + 3*v = 7. Solve 2*t - 3 - s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10219 - -11134. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 3. Determine c(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -45*l**2 - 2. Let a(n) be the third derivative of -n**5\/30 - 74*n**2. Give g(a(m)).\nAnswer: -180*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45878 and 9831.\nAnswer: 137634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -6397.\nAnswer: 118\/6397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 18 = r, -2*p = -r - 11 + 29. Which is the biggest value? (a) -1\/2 (b) r (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9486 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479041527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.871094 micrometers in kilometers?\nAnswer: 0.000000001871094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v. Let h(q) be the third derivative of 7*q**5\/60 - q**4\/12 + 24*q**2. Let n(g) = 190*g**2 - 55*g. Let y(j) = 55*h(j) - 2*n(j). Determine y(l(z)).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64660 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7116240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648 = 82*b - 74*b. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i + 7. Let b(h) = -4*h. Let g(p) = -b(p) + m(p). Give g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2415411?\nAnswer: 2415412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 - w**3\/6 - 2*w**2 - 14*w. Let f = -3 - -6. Give v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1116\/15)\/(-6))\/(1\/(-21)*(-2373)\/565).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81.278 + -2.\nAnswer: -83.278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 251, -0.7 in descending order.\nAnswer: 251, -0.7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 405392 and 2704?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + ((sqrt(105) - sqrt(105)*-4)\/sqrt(7))\/(6*sqrt(300)))**2.\nAnswer: sqrt(5)\/3 + 293\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-3))\/(2\/1)*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 - 491*k**4 + 478*k**3 + 5908*k**2 - 13736*k + 7840 = 0.\nAnswer: -4, 1, 2, 490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, 4, -2 in increasing order.\nAnswer: -2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (76\/(-40) + 2\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-4))\/((-9)\/30). Let l(a) be the second derivative of -2*a**3\/3 + 2*a**2 - 34*a. Determine l(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764546809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v + 6 = 0. Suppose 41 + 25 = v*u. Suppose 9 = -u*q + 25*q. Solve -q*a = -z, -4*z + 5*a - 6 = 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338252821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**2 + 3\/2*j**4 - 76 + 0*j + 49\/3*j**3 - j**5. What is the third derivative of y(r) wrt r?\nAnswer: -120*r + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**3 - 2*r**4 - 5*r**3 + (0*r**2 + 0*r**2 + 2*r**2)*(2*r - r**2 - 2*r) - 3*r**4 + 7*r**4 - 3*r**4 + 5*r**4 - 3 + 3.\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:46 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 11*y + 2272. Let k = 630 + y. List the prime factors of k.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 15. Suppose 2*f + d = -1, -f + 4 - 17 = g*d. Calculate the highest common divisor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 1)*(-10*z + 38*z + 40*z) + (-6 - 1 + 5)*(-2*z + 0*z + 0*z) - 8*z + 6*z - 9*z in the form w + c*z and give c.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 31, 45, 57, 67?\n\"Answer: -u**2 + 19*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4\/5 + 12*l**3\/5 + 4*l**2\/5 - 12*l\/5 = 0 for l.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19532 is divided by 3186?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6050\/33 + (2 - 10\/3). Calculate the greatest common divisor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4637 + 7937. Round v to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:20 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19283784 by 19.\nAnswer: 1014936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2332*u**3 + 3*u**2 - 39780*u?\nAnswer: 13992*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 10*p = -165 + 140, -4*n = 2*p + 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 12:49 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + g**2 + 0 + (-2*g**2 + 3*g**2 - 2*g**2)*(-5 + 9 + 3).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -10\/9.\nAnswer: -10\/9, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 10*g**2\/3 - 134*g\/3 + 448\/3 = 0.\nAnswer: 32\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 10*c + 14. Let w be d(-11). Suppose 20 = w*j - j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/86 + 17\/387. Let c = -20 + 18. What is the smallest value in -2\/3, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 3, -1743?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 at least -225809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/18 - (-5)\/(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 + -5?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*g + 87 = -135*g - 89 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/4 - 3081*j**3\/4 - 156687*j**2\/2 + 249600*j + 806400 = 0?\nAnswer: -96, -2, 5, 1120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**4\/24 - y**3\/12 + 22*y. Factor r(c).\nAnswer: -c*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 + 5*o**4 - 2*o**4 + (3 + o - 3)*(-o**3 + 2*o**3 + o**3) - o**4 + o**4 + o**4 + 0*o + 4*o**4 + 0*o.\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 503768*q + 196315 wrt q?\nAnswer: 503768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 39901 and 39930 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjffjjjjjjjj?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9 - 5 + 2 - l + 0 - 3. Calculate o(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*s - 63*s + 190*s - 61*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/13, -61, 3?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.99 + 5.89. What is the smallest value in r, -0.7, -1, 0, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9795.\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 103*z - 2266. Let b be a(22). Let y(f) be the third derivative of 3*f**2 + 0 - 19\/24*f**4 - 19\/6*f**3 + b*f. Differentiate y(m) wrt m.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/40635 and 77\/30.\nAnswer: 81270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m*(m*m\/m**(1\/9))\/m)\/m*m)\/m)\/(m*m\/(m*m**(4\/7))*m*m))\/((m*m**(2\/5))\/m*m\/(m*m**(-3\/7))))**(-2\/31) assuming m is positive.\nAnswer: m**(1492\/9765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 + 30785*a**2 - 462770*a + 802360 = 0 for a.\nAnswer: -6172, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27408754, -27408816, -27408878, -27408940?\nAnswer: -27409002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7939451163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1. Let f(r) = -3*r - 1654 + 5*r + 819 + 820. Calculate -f(u) + 2*p(u).\nAnswer: -2*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23762659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -32. Suppose o = s - 1 + 5, 3*o - s - t = 0. Suppose 5*y = -15, 198 = f + o*y - 347. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1320, 1309, 1294, 1275, 1252, 1225, 1194?\nAnswer: 1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21410.\nAnswer: 2, 5, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 40. Which is the closest to -4? (a) 0.4 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > 2\/7433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 - 41*q**2 - 44*q - 45. Give z(-19).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4975 = 5*z - 0*k, -3*k - 5005 = -5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 2*p**2 - 2*p**2 + 5 - 3 + 0. Let w(h) = -3*h**2 + 2*h + 2. Determine -5*b(m) + 6*w(m).\nAnswer: 2*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 120, 0.05, 0 in ascending order.\nAnswer: -8, 0, 0.05, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 3*s**2 + 63*s + 2*s**2.\nAnswer: -8*s**2 + 63*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37393776 divided by -3.\nAnswer: -12464592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288783?\nAnswer: 3, 11, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 + 8*y + 16. Let c(u) = u**2 + 2*u + 1. Let b(f) = -4*c(f) + n(f). Let i(o) = -3. Give 3*b(w) + 12*i(w).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2182 take away 0.5?\nAnswer: 2181.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22944 divided by -48.\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Suppose -5*b - 5 = 10. Suppose -4*h + 36 = -4*g, -46*h = 5*g - 47*h + 5. Let o(i) = -4*i + 1. Determine b*m(s) + g*o(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvvv when four letters picked without replacement from {v: 4, l: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 3*z**2 + 0*z - 3*z**3 - 48640 + 48641 + (3*z**2 - 3*z**2 + 2*z**2)*(2*z + 3*z - 4*z).\nAnswer: -z**3 + 3*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 156955, 157175, 157399, 157627, 157859, 158095, 158335?\n\"Answer: 2*p**2 + 214*p + 156739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9348 divided by -38\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/840 and -113\/7349840?\nAnswer: 154346640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 211847 and -0.44.\nAnswer: 211846.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -104*h**2 + 218*h - 18. What is j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7505077 nanometers?\nAnswer: 0.0000007505077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - n - 7. What is h(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*r + 39, 0 = u + r + r - 6. Suppose u = 3*d + 48. List the prime factors of ((-52)\/d)\/((-2)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*x + 3442, 2042 = -3*v + 6*v + 4*x. Suppose 3*n - v = -y, -2*y + n = -875 - 511. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8383*f**2 + 15592*f**2 - 7212*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82672017*k**2 - 112323855*k wrt k?\nAnswer: 165344034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**2 - 7*y**2 + 10*y**2)*(2*y - 3*y - y)*(y - y + 5*y**2).\nAnswer: -80*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2020008110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 16*j**2 - j - 13. Let l be h(-16). Suppose -2*i + 10 = l*b, -3*i = -4*b - 6*i + 13. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 19544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13414 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = 5*w + 170, 0 = -5*a - w + 824. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 8*r**2 - 2*r - 8. Suppose -64 = -9*g + 17*g. Let d be u(g). Is (40\/(-3)*3)\/((-2)\/d) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000930471969 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z. Let j(g) be the second derivative of g**4\/4 - 3*g. Determine n(j(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 195 = 18*h. Suppose t - 9*w = -h*w + 489, -4*t - 5*w = -1989. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746207997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 71*t**6\/60 + 19*t**5\/60 - 29*t**2 + 3*t. What is the third derivative of b(x) wrt x?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Determine a so that -3*a**3 - 8*a**3 + a**4 + 5*a**3 + 10*a**3 - v*a**2 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 3}. Give prob of sequence ff.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109846 is divided by 2575?\nAnswer: 1696","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3 - 2990771*a**2 + 5233178 wrt a.\nAnswer: 9*a**2 - 5981542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21141473*0.01.\nAnswer: 211414.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15778300 not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*s**5 - 348*f*s**4 + 7*f*s + 6*s**2 wrt s.\nAnswer: 120*f*s**2 - 8352*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/5 (c) -0.1 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -104, -165?\n\"Answer: -61*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2\/(2 + (-168)\/83). Suppose j - 11 = 8*i. Let y = -4 + 12. What is the smallest common multiple of i and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxxx when four letters picked without replacement from xxvpx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, r: 1, f: 5, s: 1}. What is prob of sequence vv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*k**2 + 18*k - 58499?\nAnswer: -40*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/5, 10, -1328?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 217*p + 75*p**2 + 18*p + 684 - 519.\nAnswer: 5*(p + 1)*(p + 3)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7520 + -0.8137763?\nAnswer: 7519.1862237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 667135726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*n + 4 - 23*n - 3*n**3 + 18*n - 24*n to the form j*n + u*n**2 + i*n**3 + g and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 divided by 65?\nAnswer: 867\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -625 + 7489\/12. Let q = -2\/3 - h. Solve 1\/2*s - 1\/4*s**4 + 5\/4*s**2 + 0 - q*s**5 + 3\/4*s**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 31 - 95 + 31 - 2*s + 35 - s. Determine f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.1. Which is the closest to o? (a) 1\/3 (b) 0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (78\/932)\/((-3)\/18*-3). Let v = 33553\/1398 - a. Let y = -31877\/10 + 3194. Calculate the common denominator of v and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.349 + 0.151. Let z = b + -15.02. Which is bigger: -1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2, 0.47, 4, -1.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*c - 4*c. Suppose -1 - 3 = -c*z. Suppose z*j - 27 = -j. Solve -4*y - 14 = 4*t + 18, -3*y + 2*t = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + 8*n**2 + 5*n + 2. Give z(6).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1596320\/13 - -122552. Let v = t - -242. What is the closest to -1\/5 in 0.4, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 2*x**2 + 2 - 67*x**3 - 64*x**3 + 130*x**3. What is h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 7. Let f be s(-7). Factor 7*m + 3*m**2 + f*m**3 + m**4 - 8*m - 3*m**3.\nAnswer: m*(m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Expand (2*m - 3*m + 4*m)*(-4*m**2 - 2*m**2 + m**2)*(2*m**2 - m**2 - 3*m**2).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -659, -999, -1343, -1691, -2043?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005486 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -4, -1, -1241, 3 in increasing order.\nAnswer: -1241, -5, -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from gqgqqqgqqhqhghbqqq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + 1343\/119. Let n = o - -1. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27646877497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a - 18. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 1 + 0)*(0*k + 2*k - k)*(4*k + 4*k - 5*k) - 2 + 2 + k**3 - 1 + k**3 + 1 + (-1 - 4 + 3)*(5*k**3 - k**3 - 3*k**3) - 2*k**3 + 3 - 3.\nAnswer: -5*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1126, -1129, -1134, -1141, -1150, -1161, -1174?\n\"Answer: -j**2 - 1125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9116 = -907294*w + 907188*w for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2552, 2500, 2428, 2336, 2224?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10828 - -39.\nAnswer: 10867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -24, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1160, 1161, 1160, 1157, 1152, 1145, 1136?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2948944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*a = 8, -3*t - 4*a + 6*a + 28 = 0. Let q be ((-1856)\/(-10))\/16 + 4\/10. Calculate the greatest common factor of q and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 53*m**2 - 1053*m - 128. Give t(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39672\/1131 - 2\/26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q - 15 = 0. Let p = 9 - q. Suppose -32 = -t + p*a + 16, 5*t = 5*a + 180. Calculate the remainder when t is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 974a07?\nAnswer: -974a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d**3 + 9*d**2 - 9*d**2 + (3*d - 2*d + 0*d)*(4*d**2 - 2*d**2 - 4*d**2) + 122*d**3 + 2975*d - 2975*d.\nAnswer: 112*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*k**2 + 362*k**2 + 82*k + 309*k - 730*k**2.\nAnswer: -2*k**2 + 391*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1438*c + 716*c + 681*c.\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b = 3*c - 27*b - 6, -5*c = b - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.3649cm in micrometers?\nAnswer: 1153649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - 421 - 457 + 1782 - 452 - 450.\nAnswer: -18*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2769?\nAnswer: 4\/2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/8 - 40805*f**3\/8 - 20401*f**2 - 40801*f\/2 = 0.\nAnswer: -40801, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -139, -208, -277, -346, -415?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = y - 8, 0 = -s - 5*y - 0*y + 24. Suppose -12 = 3*d, -15*p = -11*p + 2*d + s. Which is bigger: 63 or p?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 131, 221, 297, 359, 407?\n\"Answer: -7*h**2 + 125*h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 76?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 395. What is the units digit of d(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - m**2 + 5*m + 27. Is f(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6972846028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {z: 3, n: 6, d: 4, c: 1, e: 1, s: 5}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1117000 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + q**2 - q**2)*(12618 - 6146 - 6072 + 39*q**2).\nAnswer: -78*q**5 - 800*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 7. Let h be r(6). Let u = -10 - h. Find the first derivative of 26*j**2 - 26*j**2 + 2 + 5 + 8*j**u wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 14*l + 274, 5*c + 55 = 4*c + 2*c - 18*l + 15*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -444300 less than 1047.92?\nAnswer: 445347.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 9*x + 204. Let j = x - 26. What are the prime factors of (-346)\/(-10) + j\/(-70)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(264))\/sqrt(8))\/(((sqrt(15) - (sqrt(15) + (sqrt(60) - sqrt(15)))) + sqrt(15))\/sqrt(5) + sqrt(3)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p*r**3 - 2*p*r**2*u**2 - 237*p*r + 12*p*u**3 - 32531*r**3*u**3 wrt r.\nAnswer: 12*p - 195186*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/11 in -25\/4, 0.5, 0.18, 0.008, -3\/4?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 3*k + k - k + 0*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3941 to the nearest one hundred.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1267.03093349 - 0.002.\nAnswer: -1267.03293349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*t - 3*r, 0*r + 2*r = -5*t - 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -295\/8, -16, 1\/6 in descending order.\nAnswer: 251, 1\/6, -16, -295\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/9 and -83.7354 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjxjxjjxx. Give prob of sequence jjx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = x + 3*x + 12, 4*j = -2*x. Suppose 5*y = -47 - 3. Let s be (y\/3)\/(6\/(-9)). Solve 3*f + 0 = j*o - 5, 0 = -s*f - 4*o + 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-l - 1 + 1)*(0*l + 4*l + l) - 4*l**2 + 3*l**2 + 3*l**2)*(-2 - 5 + 1) in the form b + r*l**2 + g*l and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -14127 divided by 10?\nAnswer: -14127\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-805)\/(-46))\/(150\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 73*h**2 + 3*h + 16. What is the hundreds digit of x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 492*f**3 + 57997*f**2 - 117474*f + 58984 = 0. Calculate f.\nAnswer: -292, -202, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8769 is divided by 225.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 668 + -1466. Let h = c + 1679. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3509.71225 from 0.008.\nAnswer: -3509.70425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/((-40)\/(-2)))\/((-10)\/20). Which is the nearest to q? (a) -1\/6 (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*h + 810 = 0, -4*z - 5*h + 757 + 261 = 0. Calculate the highest common factor of 6 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-3) + 2\/(-6). Suppose 0 = -3*b + c - 14. Is b + (0 - (-26 + 1)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 656 - 612. Let a be 9*(0 - (-1 - 0)). Suppose 0 = -5*s - b + 47, -10 = -s - 5*b + a. What is the remainder when q is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/6 - 2\/3. Sort x, 9, 0.5, 0.4.\nAnswer: x, 0.4, 0.5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 48 + 42 = -2*j. Let p(w) = 194*w**2 + 2*w - 1. Let h be p(1). List the prime factors of 12\/20*h\/j.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - 18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 1634?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*f - 61*f + 52. Solve 2\/5*i - 2\/5*i**2 + 0 + 2\/5*i**f - 2\/5*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/4))**(2\/35)*(o\/(o**(-2\/7)*o)*o)**(13\/6) assuming o is positive.\nAnswer: o**(99\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10744*s + 5112*s + 5232*s - s**3 to the form f*s + j*s**2 + p*s**3 + z and give f.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -156 * 3991.\nAnswer: -622596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 64*k - 512. What is h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1678, 13267, 44718, 105961, 206926?\nAnswer: 357543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let g(k) = -3259*k + 1604*k - 2 + 1607*k. Determine g(c(w)).\nAnswer: -48*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-14))\/(1\/(-6)). Let y(s) = -5*s + 1. Let p(i) = -2*i. Give o*y(c) + 7*p(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-3) - (-1)\/(-3)) + 23?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-140)*-5*4\/(4\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-78 - (-48 - -17) - 26)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -293*c + 282*c + 215. Calculate the remainder when 967 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/10 - 0)*-22. Let f = -31 - s. Let x(o) = 47*o - 3. Is 15 a factor of x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509339267 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9)\/(-1)*(-5)\/(740\/37)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from {m: 6, d: 4, b: 1, y: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.14571816 to zero decimal places.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*q + 1978154, 30*q = -5*k + 32*q + 4945349. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1324989 or -1324983?\nAnswer: -1324983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.948 + -0.052. Let a = v + 14. What is the nearest to 1\/3 in a, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51233286*d*m**2 - 28*d*m - 127*d - 3*m**2 + 19*m - 5 wrt m?\nAnswer: 102466572*d - 6","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 owruiwiowuwu?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 3)\/((-3)\/(-15)). Suppose 9*x - 44 = f*x. Suppose x*m - 291 = 2074. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -1444*u**3 - 2432*u**2 - 1024*u = 0?\nAnswer: -16\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*n**2 + 28*n**2 - 113*n**2 + 30*n**2 + 28*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + -2.04. Let n = 2 + t. Let i = 0.2 - n. Put i, 5, 1 in decreasing order.\nAnswer: 5, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + 19. Let x = 104 + -26. Let s = p - x. What is the highest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 366325218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7235, 7198, 7123, 7010, 6859, 6670, 6443?\nAnswer: 6178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 42188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121, 437, 951, 1669, 2597, 3741, 5107, 6701?\n\"Answer: k**3 + 93*k**2 + 30*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 23 = 4*a + 5*j, 0 = -5*a - 5*j + 25. Let k be 282\/(-15)*(-3 - a). Let u = k - 34. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from {x: 1, v: 1, w: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.88 + 28. Let u = f - -3.88. Let z = 1.37 + -1.27. What is the closest to z in 2, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 16 = 0, -68*o - 69*o + 133*o + 0*p - 4*p = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -0.31038886.\nAnswer: -1.68961114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2204615461\/4566 - 482833. What is the common denominator of v and -30\/7?\nAnswer: 31962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/60426 and -75\/2.\nAnswer: 60426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 984169099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1667453 and -180070.7.\nAnswer: 1487382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4544*h = 5681*h - 65946 for h.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 87509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11711 - 11711 + 59*c**2.\nAnswer: 59*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000231 (base 10) in base 8?\nAnswer: 46113547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1303075 <= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10*(-2 + 7). Suppose l*k = -4*t - 6, -3*t - 35 = -3*k + 2*t. Suppose 2*s = 0, -w - k*s - 6 = -86. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -54 + (-12)\/40*-20.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*c + 259*c - 7014 = -132*c for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 250*h - 1865 + 1865 in the form v*h + a and give v.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*n**5 - 51*n**5 + 144*n**5 + (-3 + n**2 + 3)*(-5*n**3 - n**3 + 4*n**3).\nAnswer: 35*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 37. Suppose -y*f + 5 = -7. Let g(h) = 8*h - 1 + h - 8*h + f*h + h**3 + 4*h**2. Give g(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2030745 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-11)\/33)\/((-130)\/7540).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 0 - -3) + 1. Suppose q = -c + 5*q + 61, -z*c = q - 113. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 61\/3 of a week?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3878013 times 2?\nAnswer: -7756026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 34*z + 1. Let i be q(-2). Let y = i - 16. Let n = -43 - y. What is n rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511.4 + 164755?\nAnswer: 164243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 5 + 27. Solve -4*t + 25 = 4*b + q, 3*t + 6 = 3*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 7*r**2 + 5*r + 9. Let t be f(6). Suppose -s = t*s - 564. Calculate the remainder when s is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qqmnmmm.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 t, and 1 y when four letters picked without replacement from {t: 6, y: 1, l: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, 120, 478, 1176, 2328, 4048, 6450?\n\"Answer: 19*m**3 - m**2 + 2*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38868, 38873, 38880, 38889, 38900?\n\"Answer: b**2 + 2*b + 38865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1682195, -1682197, -1682193, -1682177, -1682143, -1682085, -1681997?\nAnswer: -1681873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -3 + 3*x - 3 + 2. Let f(l) = l. Let v(i) = -4*i + 16. Let k(q) = -5*f(q) - v(q). What is 2*k(w) + 11*z(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2, -3 in decreasing order.\nAnswer: 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 560461 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -52404712?\nAnswer: -52404716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/11)*r*r**(2\/5))\/(r*(r\/(r\/r**2))\/r*r*r*r\/(r*r**6*r))*(r**2*r**(-2))\/((r*r*r**(-7))\/r**(1\/8)) assuming r is positive.\nAnswer: r**(4351\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 42*m + 155. Let u(q) = 9*q**2 - 72*q + 311. Let c(p) = 14*h(p) - 6*u(p). Factor c(k).\nAnswer: 2*(k - 76)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 54, 105, 156, 207, 258?\n\"Answer: 51*x - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 - 1.1. Let t = 0.3 - y. Sort t, 0.1, 2\/7 in descending order.\nAnswer: t, 2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = -11 + 66 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2 - 7 + 0 + t - 2*t - 3*t**2 + 4*t**2. Let w be (-204)\/8*2\/(-3). Let j = -17 + w. Calculate x(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2771 - -2775. What is the highest common factor of 836 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 679563670 by -1.\nAnswer: -679563670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29463462 - 4.5168.\nAnswer: -29463466.5168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*i + 36, 0*m = 3*i - 4*m - 31. Let c = 4 + -4. Let j = c - i. What is the second smallest value in j, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 7:22 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 153402012 a multiple of 6788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -361411.157 and 9.\nAnswer: -361402.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*l + 186*l - 46*l - 42*l + 4 - 48*l.\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28277438, 56554860, 84832282?\n\"Answer: 28277422*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 5*n + 18*n - 6*n - 14*n - 178 to d + j*n and give d.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*b - 22, -p - 2*b = -3*p + 20. Suppose -p*s = -s - 24. Suppose 0 = -4*n + 5*t + 120, s*n = -t + 62 + 82. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from lqiqeiixee?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 12*c - 178 - 13*c - 61 to q*c + w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07773237106 minus 16?\nAnswer: -16.07773237106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2 + 192*k**2 - 8*k - 197*k**2 + 423*k + 257*k.\nAnswer: -5*k**2 + 672*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*p + 56*p = 16. Solve -p - 4 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = 3*j. Suppose q - 3*q - 2*b = -j, 0 = 3*q + 2*b - 6. Solve -q*z - 3 = 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) -3902 (c) 3 (d) -2 (e) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*n + 247167, 3*n + 2*b - 247161 = -0*b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 342943382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 4 - 102) + 0. Calculate the common denominator of -49\/10 and 2\/(-4)*r\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:54 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11138965 = 8450327. Suppose 2*k - 2938401 = -3*o - k, -5*o + k = -h. Suppose 3*x - 10535 = o. Round x to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 + 3 = 0. Suppose -25 = -i*c - 5*o, 17 = -2*c + 2*o + 7. Let u(k) = -27 + 7*k**2 + 31 + 4*k - 3*k - 3*k**2 - 5*k**2. Calculate u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -63*u - 306. Let l(p) = 8*p**2. Determine s(l(n)).\nAnswer: -504*n**2 - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (9 - -1)) + 4 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Convert 13561.99cm to kilometers.\nAnswer: 0.1356199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541 - 1541 - 1539 - 797 + 5418 + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 3.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -733.9 + 728.9. Put 1\/12, 0.3, 2\/3, c, 0.2 in increasing order.\nAnswer: c, 1\/12, 0.2, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**2 - 2*g + 1. Let j(v) = -v - 1. Let m(h) = -j(h) - n(h). What is the second derivative of m(u) wrt u?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*z**2\/7 + 21660*z\/7 - 120622.\nAnswer: -2*(z - 41)*(13*z - 10297)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197539672.\nAnswer: 2, 11, 2244769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221202 - 1111103?\nAnswer: -2332311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 884 = 2*l. Suppose -244 = -2*j - 3*g, -5*j - 8*g = -4*g - 617. What is the remainder when j is divided by l?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9 - (0 - 8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 60 = -4*o, 51*o = -5*t + 54*o + 51. Solve -4*x = -0*x - t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 30 = -17*p. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -135, -228, -321, -414?\n\"Answer: -93*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 + 1)*((g**2 - 2*g**2 - g**2)*(2*g + 0*g + 0*g) + (g - g + 2*g**2)*(0*g + g - 5*g)).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000362538 rounded to 7 decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and -1 - (142 + 5)\/(-3).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610640.\nAnswer: 2, 5, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -37*v**3\/3 - 273. Let d be (1\/(-4))\/((-10)\/120). Let s(n) = -4*n + n**2 + d*n + n. Give s(h(k)).\nAnswer: 1369*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3459155*t**3 + 10377468*t**3 - 3459154*t**3 - 3459161*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(3 + -5 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 1. Suppose -3*n - 13 = -j, -2*n - 5 = -j + 4*j. Let b(m) = 7*m - 3. Give n*b(s) - 11*f(s).\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484, 618, 762, 916?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 2 + 114 = 0. Suppose h*y = -1311 - 4469. Round y to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12675*f**2 - 7410*f - 1083.\nAnswer: -3*(65*f + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*r - 15, r - 6*r = 5*p - 15. Let v be (3 - p)\/3*-1. Suppose v = -2*z + 4*z. Put z, 3, -3 in descending order.\nAnswer: 3, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 19. Calculate w(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -17\/2*o - 6 + 1\/4*o**3 - 9\/4*o**2 = 0.\nAnswer: -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-8 + (7 - 3) - -5)) + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + (-52)\/12)\/((-2)\/21). Let l(d) = 4*d**2 + 8*d - 5. Let x(v) = 3*v**2 + 7*v - 5. What is b*x(h) + 6*l(h)?\nAnswer: 3*h**2 - h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.9 - 0.1. What is the closest to 0 in -0.5, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 589 + -709. What is the common denominator of -15\/22 and 5 + -9 + 2\/(s\/265)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9656 less than 0.04?\nAnswer: 9656.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 26*l + 46. Let d be o(24). What is the tens digit of 2*(d + 394\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/27)\/l*l*l*l**(-18\/11)*l*l*(l\/(l*l**(-2\/3))*l)\/(l\/l**(-9)) assuming l is positive.\nAnswer: l**(-1762\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 2*z - 1. Let y(x) = 3*x**2 + 10*x + 9. Let f(a) = 2*p(a) + y(a). Does 4 divide f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202389629 to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 149 = 5*l, -20 = -l - 3*s - 1. What is the units digit of (-7)\/(l\/16)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24699, 96341, 215743, 382905, 597827, 860509?\nAnswer: 1170951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 69000 to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 16545*a + 42 - 2177*a - 22 to x*a + s and give x.\nAnswer: 14368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424977179 to the nearest integer?\nAnswer: 20615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348950*d + 348948*d - f - 7, -3*f - 11 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 3\/7816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21000 (base 3) in base 7?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.3. Let a = y + -0.2. Let o = 849 - 848. What is the second biggest value in o, a, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101014810?\nAnswer: 2, 5, 13, 37, 21001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(14\/7))\/(((-28)\/(-18))\/7).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*v + 6*v. Let g(j) = -j**2 + 8*j - 14. Let w be g(v). Let a(l) = l**3 + l**2 - 1. What is a(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -46, 7, 0.06, -0.05, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4164 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 56 = -i - f + 6*f, -14*i + 11*f + 76 = -24*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g**2 + 9*g + 9. Let d(i) = i**2 - i - 1. Let l(b) = -18*d(b) - 2*z(b). Let w(j) be the second derivative of -7*j**4\/12 - 13*j. Determine l(w(m)).\nAnswer: 196*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 25 + -14 + 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 593*f + 1277515. Give w(872).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 6, m: 6, e: 4}. Give prob of sequence eec.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 376 = i, -4*i - 3*b + 1077 = -447. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) 1\/7 (c) -0.3 (d) -3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-594)\/(-45) + -9)*((-6)\/18)\/(-1). What is the third smallest value in g, -1, -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v = -1605, 60*o - 49*o = -4*v + 4461. Let x(c) = 2*c**2 + 5*c + 6. Let p be x(-5). Calculate the greatest common factor of p and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/27)\/(1*14\/(-21)). Which is the third smallest value? (a) n (b) 0.1 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 28 = 2*r, r - 6*r = 2*x + 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 46 = -5*s - 2*q, 4*q = -8. Let n = s + -4. Let x(c) = c**2 - 4*c - 7. What is the remainder when x(7) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 72\/16*4\/36*34. Suppose -26*y = -w*y - 5598. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*r**2 - 58*r**2 + 7*r**3 - 2*r + 2*r.\nAnswer: 7*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 83. Solve 3*q - j = -5*v + 2, 4*v = 4*q + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/1)\/((-2)\/((-4)\/(-3))). Let r = -42803\/18 - -2373. What is the common denominator of m + (-11)\/(-39) + (-14)\/(-28) and r?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8838804 divided by -52.\nAnswer: -169977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k + 0*k + (2 - 5 + 2)*(-2 + 2 - 2*k) + 1233 - 49*k - 1233.\nAnswer: -45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559458.\nAnswer: 2, 89, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 37740*w**2 - 35747*w**2 + w + 73488*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*i**3 - 135*i**3 - 24*i**3 + 110*i**3 - 110*i**3.\nAnswer: -306*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27366*w + 13706*w + 13659*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 16*d - 171 = -13*d. Solve 7*s = -4*r + 6*s + 21, d*s + 7 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30)*-1)\/(2*(-12)\/40)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/460 and -57\/56258?\nAnswer: 562580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 265.19 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1352, 42, 3, -5, -9 in decreasing order.\nAnswer: 42, 3, -5, -9, -1352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by ((160\/(-12))\/8)\/((-10)\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88124754 and 930.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 87. What is the smallest common multiple of g and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 + 2 - 2)*(-3*x - 3*x - 2*x + (0*x + x + 4*x)*(-1 - 2 + 1)*(-6 + 3 + 1)) in the form r + z*x**2 + c*x + a*x**3 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 65*-0.06\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 58 (c) 6\/5 (d) -3 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 11*o**2 + o - 8. Let j be s(11). Solve -j*r - 9 = -0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1760)\/(-99))\/20 - 6\/9 and 2\/2703?\nAnswer: 8109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -2c?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2339857*t**2 + 102*t - 80192 wrt t.\nAnswer: -4679714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/105 and -73\/2109.\nAnswer: 73815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*o - 60 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(q**3 + 2*q**3 + 0*q**3) - 80 - q**3 + 2*q**2 + 6*q**3 + 74.\nAnswer: 2*q**3 + 2*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from llxphhlviixvili?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*i - 117*i - 273*i as k*i + r and give k.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -59. Let s = 1 + -1. Which is the third smallest value? (a) t (b) -3\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 = 0, o = 6*o + 5*i - 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -29 + (1 - (-28)\/4)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -206\/275 - 69259\/275. Let y = d - -252. Let m = -6.3 - -6. Sort y, -6, m in ascending order.\nAnswer: -6, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**3 - 3*f + 1. Let a(c) = -5*c**3 + c**2 + 4*c - 2. Let l(s) = 3*a(s) + 2*q(s). Determine l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/6 and 3 - 7\/(50778\/22555)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.069, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let p(x) = 3*x**2 - 3 + 4 + 2*x**3 - 3*x + x**3 - 2*x**3. Let s be p(u). What is the greatest common factor of 10 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219*(-2 + -9*4\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 5*c - c**2 + 2*c**3 - 256*c + 2*c**3.\nAnswer: 3*c**3 - c**2 - 251*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31403749957.9 and -4.\nAnswer: 31403749953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(((-90)\/(-300))\/((-8)\/5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 18 = -f. Suppose -13 = -f*v - 4*k + 25, v - 13 = -4*k. Calculate the remainder when 70 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 323 or 1\/4?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) + (-3)\/((-9)\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.509631ml in litres?\nAnswer: 0.005509631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -296?\nAnswer: -6808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1. Let r be (-30)\/12*(2 - 2 - -2). Let i(w) = -9*w**2 + 4*w - 5. Let d(v) = r*q(v) - i(v). What is the second derivative of d(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952, -1899, -2836, -3757, -4656, -5527, -6364?\nAnswer: -7161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5425316 divided by -1313?\nAnswer: -4132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 341962 at most as big as 341962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102063 and 81237?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.279892km to centimeters.\nAnswer: 527989.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 12*d + 19. Determine f(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2685912 <= -2685911?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 2469 = -4599. Does 4 divide h\/7 - -4*(-4)\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 - 565\/3. Find r such that -1\/3 + r + d*r**3 + 3*r**2 = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 420 by 105.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.5. Let t = 3.2039 - 10.2039. What is the fourth smallest value in -2\/11, 0, z, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.47 + -0.03. Let r = m + 1.38. What is r rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4) + -5 - -2*(0 + sqrt(17))) + 1.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1348*p**2 + 288*p + 17. Let u(n) = -451*n**2 + 96*n + 6. Let a(z) = -17*u(z) + 6*v(z). What is the second derivative of a(t) wrt t?\nAnswer: -842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 70. Suppose 98 = 5*c - 2. Calculate the lowest common multiple of c and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*h - 18. Let o = 11 - 7. Solve -o*y + 4 = 4*k, -k + 1 = h*k + y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**2 + 3*m**2 + 4*m**2 + ((-2 - 4 + 3)*(2 + 2 - 3) + (-30 - 2 - 22)*(2 + 1 - 1))*(3 - 3 + m**2) to s + n*m + f*m**2 and give f.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -2.365599.\nAnswer: -49.677579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 - 122. Suppose n = 2*y + 73, 4*n + w = -5*y + 403. List the prime factors of n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 - 0.4. Let x = -398 + 263. Let f = 134.98 + x. Which is the third smallest value? (a) k (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*-3*(-5)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24.5? (a) -8 (b) 0.12 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 721 = 945. What is the highest common divisor of 784 and z?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515\/2 + 1549\/6. Sort g, -0.2, 89 in increasing order.\nAnswer: -0.2, g, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 387346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -68 - 67 + 210 - 2*y - 72. Let m(k) = -3*k. Calculate r(m(t)).\nAnswer: 6*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - sqrt(99)*-2)\/sqrt(3))\/(6*sqrt(11)*2) + -2)**2.\nAnswer: -sqrt(3) + 67\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = 10. Suppose 4*c - 14 = 5*k, 0*k + p*c = -k. Let a(z) = -z**2 - 4*z - 2. Let h be a(-3). Put k, h, -5 in ascending order.\nAnswer: -5, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19600 by -25.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -709 - -749. Calculate the remainder when 1876 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 12201211\nAnswer: -7\/12201211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w + 3. Suppose -i + 0*i = -5*b - 28, -i + 20 = -3*b. Let q = i + -5. Give o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 135 - 63 - 65 - 165*g. What is the tens digit of a(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 7545?\nAnswer: 60360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 40*o + 1719. Give u(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 1. What are the prime factors of v(-18)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456418251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1008 (c) 0.04 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 5*c. Let n(d) = 113*d**2 - 11*d + 10*d - 112*d**2. Suppose -7*s + 5 = -2*s. Calculate s*o(f) + 4*n(f).\nAnswer: f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 85 - 1570. Is 9 a factor of a\/(-25) - (-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30247856 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**4 + 0*q**4 - q**4 + (0*q**2 - 3*q**2 + 18*q**2)*(q**2 - 9 + 9) - q + q - 2*q**4 - 4*q**4 - 12*q**4 + 2*q**4.\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10053 times 12?\nAnswer: 1.20636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4))\/(5\/8). Let l = 0.0927 - 0.1927. Which is the smallest value? (a) l (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194475439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553432564 is divided by 2773.\nAnswer: 2770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(28)*2*1 - sqrt(28)))**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.3262639 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24237904 divided by -68084.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3388840, -6777673, -10166488, -13555279, -16944040, -20332765?\n\"Answer: x**3 + 3*x**2 - 3388849*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*f + 28*f + 9*f - 502.\nAnswer: 5*f - 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 287 and -976752861426.\nAnswer: -976752861139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-21)\/(-18)*(-4)\/(-14)). Let d = -2 + 1. Which is the closest to d? (a) 0 (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = 2*z - 25, 0 = -3*z + 3*n + 21. Suppose q - 4*k = -z, 3*q + 15 = 7*q + k. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058 is divided by 1047?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Let g = -2.9 + -0.1. Let m = -3.3 - g. Which is the nearest to r? (a) m (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 2*q, -5*q + 36 = -2*q + 3*y. Suppose -q = -w - 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: Which is the closest to -1? (a) -2\/15 (b) -0.5 (c) 5 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2648436, 2648432, 2648428, 2648424, 2648420?\n\"Answer: -4*j + 2648440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3\/4*t**4 + 4*t - 6*t**2 + 11\/3*t**3 + 14. Solve x(i) = 0 for i.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxl when three letters picked without replacement from llllllxxll?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 13. Suppose f - 2*f + x = 0. Suppose -10 = -r + 2*z, -4*z - 20 = -r + 5*r. Sort f, 4, r in decreasing order.\nAnswer: f, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.45 or -1691\/3?\nAnswer: -1691\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 148703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6510539?\nAnswer: 7, 930077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 2, a: 2, n: 1, z: 1, g: 1}. What is prob of picking 1 z and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12347 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -63, -85, -121, -177, -259, -373, -525, -721?\n\"Answer: -o**3 - o**2 - 12*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = 5*c - 3*j, -c + 2*c + 38 = 3*j. Let a be 0 + (0 - -1) + c. Let p = a - -47. What is the lowest common multiple of 20 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3821 less than -3821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -11 + 6 + 4*s**2 + 7. Give h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -220*t + 968. Let i be u(4). Let s = 900 + -509. Let p = -171 + s. What is the highest common divisor of p and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -5. Let x = j + -23.999417. Round x to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, 3\/5, 114?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 8. Let l = -16 + b. What is the units digit of -2*(2 + l\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3909758623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -109*g**5\/5 + g**4\/4 + 97*g**3 - 90. Find the third derivative of t(w) wrt w.\nAnswer: -2616*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + o = 2*o - 3110, x + 3*o + 606 = 0. Let d = x - -210. Let j = -177 - d. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose -s*v - 9 = -33. Solve -m - 5*x = 0, 3*m + 3*x - v = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -9863.\nAnswer: 177534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 670912760 rounded to the nearest 1000000?\nAnswer: 671000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a3 + -58?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 27*o - 32*o. Solve -o*h + 2*h + 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -5 + 10 - -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + k**3 + 2*k**3 - 20 + 48.\nAnswer: 3*k**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -109.\nAnswer: 4\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1472804.5 to the nearest one hundred.\nAnswer: -1472800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.9 - 6.1. Let n = y - 13. Let m be (-490)\/126 + (15\/27)\/(-5). What is the second smallest value in n, 0.3, 2\/7, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**2\/5 - 21854*s\/5 + 7284\/5.\nAnswer: 2*(s - 3642)*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16704 and 2709760.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 5*m - 892. Let u(o) = -24*o**2. Calculate r(u(v)).\nAnswer: -576*v**4 - 120*v**2 - 892","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -42.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*439875\/17250.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6670 - -6685. What is the highest common divisor of 215 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202021032032 + -1012?\nAnswer: 1202021031020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 101217 = -3*b + 18816, 0 = 5*b - 21*f - 199836. List the prime factors of b.\nAnswer: 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23183467.\nAnswer: 23183467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 81*l**2 + 607*l - 789. Determine m(-88).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (127407\/12)\/7 - (-1)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341*r - 153*r + 248*r + 293*r - 67*r to y*r + k and give y.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 314, 1213, 2712, 4811, 7510, 10809, 14708?\n\"Answer: 300*z**2 - z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**3 - 1 + 1 - t**2. Suppose 18*x - 15*x = 3. What is w(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/20 - 291\/(-15). Let p = u + -17. Put -0.03, 0.1, p in descending order.\nAnswer: p, 0.1, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(320) + sqrt(320) + sqrt(320))**2 + sqrt(5) + sqrt(5)*1*1.\nAnswer: 2*sqrt(5) + 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45520221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2295903 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1194, 2394, 3578, 4740, 5874, 6974, 8034, 9048?\n\"Answer: -j**3 - 2*j**2 + 1213*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 21*f - 18*f**3 - 19*f.\nAnswer: -5*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 < -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*g - 93 + 86 = 0, 0 = 2*g - 6. Let v(a) = 13*a - 22. Give v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 73. Let y(s) = -s**2 + 17*s + 214. What is -8*b(v) + 3*y(v)?\nAnswer: -3*v**2 - 5*v + 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + j**2 + 4 - 4)*((3 - 4 + 2)*(4*j + j - 3*j) - j + 0*j - 2*j) + 1431 - 61*j**3 - 1431.\nAnswer: -62*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeenneeenenneneeee. Give prob of picking 2 e.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1185*j**3\/4 + 5921*j**2\/2 + 24805*j\/4 - 42.\nAnswer: (j + 3)*(j + 7)*(1185*j - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 59000 divided by 40\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 555886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8643072 divided by -56?\nAnswer: -1080384\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 153683417\nAnswer: 461050251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + ((sqrt(35) - sqrt(70)\/sqrt(2))\/sqrt(5) - sqrt(7) - (-3 + sqrt(28))) + (sqrt(5929)*1 + sqrt(49))\/(sqrt(63) + sqrt(252)))**2.\nAnswer: 20*sqrt(7)\/3 + 211\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 4*r + 24, -4*r + 5*m - 19 = 2*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -0.1, 2\/7, 6.3427 in decreasing order.\nAnswer: 6.3427, 3\/10, 2\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31586 and 8392586.\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -15. Let k = 0 + 34. Let i = -137\/4 + k. Which is the third biggest value? (a) o (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4320 divided by 215.\nAnswer: -864\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(1 + 1\/2). Let z(g) = -4*g - 9. Let k(w) = -4*w - 8. Let y(a) = 3*k(a) - 2*z(a). Let v be y(i). Solve 0 = 5*d + p + 26, -3 = 4*d + p + v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 = b, 5*a - b = -6*b + 15. Let g(d) = 6 - 4*d + d**2 - a - 2. Suppose 0 = 2*r - h - 14, 13*r - 4*h = 18*r - 9. Determine g(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58223.34 nanograms in grams?\nAnswer: 0.00005822334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 234217 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**2 - 7*x + 4. Let u(d) = 2*d**2 + 4*d - 2. Let i(p) = -5*u(p) - 3*v(p). Suppose 0 = -48*q + 44*q + 16. Suppose 0 = q*b - 2 + 10. What is i(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -9075 in decreasing order.\nAnswer: 4, 1, -9075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 1.41. Let b = y + 0.99. What is the smallest value in b, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 624 != 627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -3. Suppose -5 + u = -2*b. Let o(r) = 3*r**2 + 2*r - 3. Let w(c) = -4*c**2 - 3*c + 4. What is b*w(p) + 3*o(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of s**4\/6 - s. Let w(j) = 2*j**2. Determine k(w(p)).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10917 and 36?\nAnswer: 43668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**6\/120 - b**5\/30 + 5*b**4\/24 + 7*b**3\/6 - 3*b**2. Let i be j(-3). Is ((-26)\/8 + 0)\/i*-92 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 0.6, 11\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/8)\/(9\/(-2)) + (-3)\/(-63).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/4 - 43*d**2\/4 - 103*d\/2 + 148.\nAnswer: -(d - 2)*(d + 8)*(d + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 1\/24*s**6 - 1\/6*s**3 + 0 + 10*s**2 + 1\/3*s**5 + 0*s + 5\/6*s**4. Let u(d) be the first derivative of r(d). Factor u(l).\nAnswer: 5*(l + 2)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28418 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*q - 20, 5*g - 2*g = -2*q + 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 1\/7*b**2 + 0 - 3\/7*b = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y + 5 = 0. Find the common denominator of 17\/11 and 2\/(-184)*(y - -55).\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(-18)\/14*(-4 + 3). Let w = 1 - 3. Let l be w\/2 + 0 + 10. Calculate the highest common divisor of l and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from gddggdgdggdgdddggdd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 k, and 1 q when four letters picked without replacement from {j: 3, q: 1, b: 4, k: 2, r: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4797089?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, h: 7}. What is prob of sequence hhnh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1694 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*o - 16, 457*o + 8 = w + 455*o. Suppose -4*g - 13 = -3*k, 0 = -3*k - 2*k + 2*g + 31. Solve -k*u + u = w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977074696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -41. What is the second derivative of -h*m + 60*m**4 - 65*m**4 - 5*m wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -199.15 + 4.15. Let i = -194.998741 - c. Round i to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 718 (base 16) to base 15.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(171)*-2)**2*-3 + (sqrt(76)*2*-1)\/sqrt(4)*-2.\nAnswer: -2127 - 176*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 20*g. Let c be d(6). Let p(b) = b**2 - 19*b + 85. Let u be p(14). What is the highest common divisor of u and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*a - a + 3978, -7974 = 4*a + 3*o. Does 33 divide 2\/(-5) - a\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123 + 0?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 18 (b) -15 (c) -6\/5 (d) 127 (e) -2\/11 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16303142 a multiple of 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Suppose 0 - 5 = 5*c, i = l + 4*c - 76. Suppose 5*x - 4*x - 3*o = 27, 0 = -4*x - 2*o + l. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 3*n**4 + 0*n**3 + (-2 - 1 + 1)*(-6*n - 2*n + 4*n)*(0*n**3 + n**3 - 2*n**3).\nAnswer: -5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -4 - 5) + (14 - -2) + -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/60 - g**4\/4 - 91*g**3\/6 - 1406*g**2. Solve z(q) = 0.\nAnswer: -7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 23*o**2 + o - 2. Suppose 40*l - 1728 - 632 = 0. Calculate the remainder when l is divided by f(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -85, -90, -91, -88, -81, -70?\n\"Answer: 2*p**2 - 15*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 3*l**3\/2 + 13*l**2\/2 + 11*l - 19. Let u(d) be the first derivative of z(d). Differentiate u(h) wrt h.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**5\/20 - 4*n**4\/3 - 4*n**3\/3 + 7*n**2 + 23*n. Is b(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885346257.\nAnswer: 3, 97, 617, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 0)\/1 - 0. Let a = -2 + w. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j. Let s(u) = u - 11030260. Calculate s(v(i)).\nAnswer: 9*i - 11030260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2686, 11339, 25766, 45973, 71966, 103751, 141334, 184721?\n\"Answer: z**3 + 2881*z**2 + 3*z - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -105*h**3 + 11*h + 6. Is j(-3) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -25 (b) 12\/7 (c) 3\/5 (d) -0.1 (e) 0.43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 2*o + 2*o)*(-13 + 4 + 0) - o + 2*o - 2*o + (-3*o + 0*o + o)*(1 + 4 - 3) + 3*o - 6*o + 4*o + (-5 - 5 + 6)*(o + 4*o - 2*o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + o - 710. Let f be i(0). List the prime factors of f\/(-6) - 6*(-7)\/63.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 185754\/(-10071) - 14\/9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -8 (c) -13\/18 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) 2 (d) 5530 (e) 4\/3 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26082*t**2*x + 20*t**2 - 231*t - 2 wrt x.\nAnswer: 26082*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**2 + 4*x - 9. Let g(w) be the first derivative of -14*w**3\/3 - 3*w**2 + 14*w + 5. Give -5*g(t) - 8*o(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0114 - 58.7886. Let t = d + 18.3. What is t rounded to the nearest integer?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2226, 4523, 6832, 9159, 11510?\n\"Answer: g**3 + 2290*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/35*2\/(-5). Let a = -104 + 104.5. What is the nearest to x in 4, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10434517139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) 0.2 (c) 0.1 (d) 72 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(180) - (0 + sqrt(180) + (sqrt(180)*-2)**2))*-3.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**2 + 4. Let a(d) = 2*d. Calculate c(a(l)).\nAnswer: 56*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 24 = 5*y, -4*h = -y - 12. Suppose 2*d - 4*d + h = 0. Suppose 0*b + 48 = d*b. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8509.\nAnswer: 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 37*x + 32. What is m(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 8*o - 2*o**2 - 30*o - 2*o**3.\nAnswer: -2*o**3 - 38*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1390?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**2 + p**2 - 6*p**2)*(-1679 - 1137 + 1015) in the form j*p**2 + r*p + o and give j.\nAnswer: 3602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 173*z + 2120. What is the remainder when 350 is divided by c(-12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvpb when four letters picked without replacement from {m: 3, b: 1, v: 6, d: 1, c: 2, p: 2}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 119784*c - 359379.\nAnswer: 3*(c - 3)*(c + 39931)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 2*z)*(-3 + 0 + 5) + 3390*z + 399*z - 8719*z - 4995*z - 9771*z.\nAnswer: -19694*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/983 or 0?\nAnswer: -6\/983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 658945418591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249.03 - 245. Let p = -0.03 + y. Let v = p - 4.000007. Round v to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/19*v**4 - 54\/19 + 2\/19*v**5 + 218\/19*v + 12*v**3 - 332\/19*v**2.\nAnswer: 2*(v - 27)*(v - 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 155.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of 13*n**4\/8 - 140*n**2. Let q(y) = 25*y**2. What is q(o(c))?\nAnswer: 38025*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5959*z**4 + 4212*z**2 - z wrt z?\nAnswer: -143016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 7}. Give prob of picking 1 o and 1 y.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.056 - -87.944. Let k = r + -87. What is the closest to -0.1 in -2\/37, k, 5?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5\/2 - 109*q**4\/2 - 1005*q**3\/2 + 104585*q**2\/2 + 267362*q + 322422 = 0?\nAnswer: -29, -3, -2, 34, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let o be k(3). Let p be (o\/2)\/((-12)\/(-72)). Let j(s) = s**3 + 10*s**2 + 3*s - 8. What is the tens digit of j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4117 and 6?\nAnswer: 24702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/16369 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -148 (base 9) to base 5\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4524 < -4489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjcjcrrrccrjrrrr. Give prob of picking 2 r and 2 c.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*g**3*n**2 - 11695*g**3*n + 51*g**2*n**5 - g**2*n wrt n.\nAnswer: 154*g**3 + 1020*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1\/s))**13)**(-1\/10)*(s*(s\/(s*s**(-5\/6)))\/s)\/(s*s**(-1\/3)*s)*(s**0)**(13\/3) assuming s is positive.\nAnswer: s**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 89*s**6\/30 + 4*s**4 + 181*s - 75. Let q(t) be the first derivative of h(t). What is the third derivative of q(c) wrt c?\nAnswer: 2136*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/2*12\/99 and 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 62 = -7*p, 0 = -p + 219*k - 115*k - 106*k + 59 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*x - 17573 = -x, -29310 = -5*b + 4*x. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((((j*j**(-20)*j)\/j)\/j)\/j))*((j*j\/(j*j**1))\/j)\/j)**(-3\/19))**3)**(-21) assuming j is positive.\nAnswer: j**(-4347\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010\/(-603)*16\/(-4)*3*1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = 12. Suppose -7 - t = -3*n. Suppose -90 = n*c - 573. What are the prime factors of c?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1188 by 18.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.137 + 1.447. Put -0.01, j, 0.3 in decreasing order.\nAnswer: j, 0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/(-35) + (-142)\/(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -177?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 228*j + 274*j + 226*j.\nAnswer: 728*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(26) - sqrt(26))*2 - 1*sqrt(26)*-1)\/((-2*sqrt(98) + sqrt(98))*6).\nAnswer: -sqrt(13)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-30) + 1)\/(3\/5). Let n be (-4)\/(-10) + 27\/(-5). Let d = -0.35 - -0.25. Which is the nearest to 0.1? (a) w (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2110799 - -2110808.000082. Let t = 20 - 11. Let y = t - u. Round y to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31745133 is divided by 419?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 24 - 114. Calculate the smallest common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 1. Let w = -4 - -3. Let r(g) = g**2 - 15*g + 31. Calculate the least common multiple of r(13) and l(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -137\/6 (b) -12.3 (c) -0.2 (d) 3 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -126 and -120 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 392.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v**5 + 0 + 10*v**2 + 3\/8*v**4 + 0*v - 1\/40*v**6 - v**3. What is j in p(j) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 + (-93)\/(-3) + 18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31523 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 + 9*r - 4. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66421810 is divided by 35634.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*h - 16 = 0, -5*p - 2*h + 27 = -8. Let q(t) = -t + 29. What is the lowest common multiple of q(19) and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*3)\/(sqrt(11) + (sqrt(110)*-1 + sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mom when three letters picked without replacement from uubbmubbouuumuu?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 22086911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - 1345*(-44)\/(-2970)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 6358 = -22*p. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o**3 + 5*o)*(3*o**2 + 0*o**2 - 4*o**2 + (2*o**2 + 2*o - 2*o)*(-2 + 4 + 0)).\nAnswer: 9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 176632896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 848 = 5016. What is the hundreds digit of (-14)\/(-60)*g - 12\/90?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46967719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 8:15 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 1\/8 (b) 0.55 (c) 2\/11 (d) -0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2. Let l(t) = -1520*t. Calculate l(r(k)).\nAnswer: 1520*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3141783 + -0.5.\nAnswer: -3141783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8bb4 - -765?\nAnswer: -844b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 390 and 195.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -77 - -67 - (8 + -3 + 8)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -80, -112, -106, -44, 92?\n\"Answer: 3*t**3 + t**2 - 56*t - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 + 5*l - 4. Let w(u) = u**2 - 3*u - 2. Let f be w(-1). Let r be m(f). Let t(h) = 104*h - 107*h - 2 + r. Determine t(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from fsffssrrfssf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**2 - 3405432*c - 3405436 = 0.\nAnswer: -1, 851359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/1557225 at most as big as 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17828914 is divided by 3194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 0*l = 1, -l = -3*o - 17 + 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:14 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9490 = 19*v - 6*v. Let n = v - 313. List the prime factors of n.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {s: 2, h: 1, c: 8, q: 4}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3332 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -53 + 32. Let s be (-3 + -4)*(-270)\/q. Let t be 4\/5*s\/(-9). Which is the biggest value? (a) 2 (b) 5 (c) -3\/4 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 7*m. Suppose -4*n + 2*n - 36 = m. Let f = 39 + n. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6267242090 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1750\/(-150))\/((-105)\/(-252)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23002 divided by 5\nAnswer: -23002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 542*j**4\/3 + 18476*j**3\/3 + 544*j**2.\nAnswer: 2*j**2*(j + 34)*(271*j + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014905192?\nAnswer: 2, 7, 173, 104759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**2 + 5*f - 10. Let l(k) = -10*k + 4*k + 39*k**2 + 35*k**2 - 112*k**2 + 30*k**2 + 11. Give -6*g(j) - 5*l(j).\nAnswer: -2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*f + 15. Solve 2*q + 12 = 4*a, -3*a + 3*q = f*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + 24.03\nAnswer: 24.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 133*j + 83. What are the prime factors of q(59)?\nAnswer: 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20489 - -29189. Suppose 14*s + 2948 = -w. What is s rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 16*y = 20. Solve 5*l + 3 = 3*o, 0 = -y*o - 13 - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -173, -189, -203, -215, -225, -233?\n\"Answer: n**2 - 19*n - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*i + 0*i + 22*i)*(-4 + 4*i - 4*i + 2*i) to the form g*i + c*i**2 + l and give c.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7126 - -7126.5. What is the nearest to 19 in -2\/3, 3, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20467 - 21667376*v + 21667379*v - 20467.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/2388261 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37464 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -126 + 126.00000848. Round a to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -32. Calculate the common denominator of -13\/9 and 105\/77*(i - 2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20549.8 and -0.78.\nAnswer: 16028.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -63705*i**3 - 4*i**2 + i + 4. Let l be b(-3). What is l rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31325 is divided by 849?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 8*d**2 + 7*d - 13. Let v(y) = -y**3 - 3*y**2 - 2*y + 4. Let a(b) = b**2 - 8*b + 17. Let i be a(5). Give i*r(l) + 7*v(l).\nAnswer: -l**3 - 5*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3\/2)*(16 + -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23313313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 49. Let p(a) = c - 2 - 15*a**2 - 1. Let x(n) = -3*n**2 - 6*n + 6. Let h(j) = -2*j**2 - 5*j + 5. Let f(m) = 6*h(m) - 5*x(m). What is p(f(q))?\nAnswer: -135*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) -2 (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from vmhhhvhvvvvvhvvhvvhv.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -745 + 742. Let l be 75\/15 + m*(-2)\/(-2). Solve w - l = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12*(-830)\/800)\/(-12) and -23\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**8\/6720 - d**7\/2520 + d**5\/120 - 11*d**4\/4 + 23*d. Let r(l) be the third derivative of h(l). Give r(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 121766*g + 852380. Determine j(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 14*g**2 - 654*g + 4544. Determine q(7).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 135*u + 2. Let n(z) = 132*z + 4. Calculate -5*j(m) + 4*n(m).\nAnswer: -147*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 3*m + 3*m + m - m + 2*m + (-3 + 3 - 1)*(-m + 0*m + 0*m) - 2*m + 3*m + 0*m)*(2 + 4 - 5).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015227347 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - -20564?\nAnswer: 20541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5248, -8527, -11810, -15097, -18388?\n\"Answer: -2*s**2 - 3273*s - 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-20)\/1950)\/((-52)\/(-39))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-165 - -158) + 2*-1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9287 = -214*r + 12*r - 49*r for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = l + l. Suppose 4*z + 54 = l*u, 5*u + 2*z = -z + 90. Calculate the greatest common factor of 12 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/735020 and -19\/350.\nAnswer: 25725700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1836 + 1196. Let r = d + 646. Suppose -37 + 11 = -i. Solve -5*p = -4*w + i, 2*p - r = 7*p + w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2044918 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**3 + 3*w**2 + 4*w + 3. What is the units digit of k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/1*(-4)\/((-24)\/6)*-3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-5\/8))**2*((y\/(y\/(y\/y**6)))\/((y*y**2*y)\/y))\/(y**7*y**(-2)) assuming y is positive.\nAnswer: y**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**17)\/(j*j**(-15)))\/(((j\/(j*j**6*j))\/j)\/j*j**6\/j))**3 assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128.299988448 - 128.3. Round f to seven dps.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/121 in -5, -0.01, 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5864079 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 2) + -79 + (93 - 43)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -92, -100, -90, -68?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 6*s - s**4 - 3*s**3 + 5*s**3 + 2 in the form n*s**3 + o + v*s + d*s**4 + x*s**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.2 (b) 1\/6 (c) 61 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33234, 65468, 97702, 129936?\nAnswer: 162170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -25. Let x(l) = 3*l**2 - 265*l - 169. What is the remainder when n is divided by x(89)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -529, -1619, -3403, -5851, -8933, -12619?\n\"Answer: 5*g**3 - 377*g**2 + 6*g - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d)*(d**3 + 4*d**3 - 2*d**3) + 47*d**2 - 47*d**2 + 18*d**4.\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3401*b + 240 = -3377*b. Solve -b*u = 25*u - 35 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x + 4*x. Let g(j) = j + 1. Let t(b) = 4*b + 5. Determine x*t(c) + 3*g(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238258, 476518, 714778, 953038?\n\"Answer: 238260*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9063)\/(-4788) - (-14)\/(-8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5453254 (base 6) to base 7\nAnswer: 2210614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*b + 38*b - 65*b)*(0 - 7 + 1) - 2*b + 0*b + 4*b + 2 - 2*b - 2.\nAnswer: 696*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49 and 27703?\nAnswer: -1357447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1. Let k(u) = -u + 2. Let w(p) = k(p) - 2*y(p). Let f(s) = s - 5. Let n be (12\/(-24))\/(2\/(-12)). Suppose n*m + 126 = 135. Give m*f(d) + 4*w(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*h - 157*h + 8456 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92, -0.2, -2\/13, -1600.\nAnswer: -1600, -92, -0.2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + -34. Suppose h = -3*h + l. Suppose -2 = h*q - 6. Solve -2*c + 7 = d + q, -2*c - 6 = 4*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16829369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23715 divided by 22664.\nAnswer: -23715\/22664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 227943613 to the power of 1\/2, to the nearest integer?\nAnswer: 15098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 18. What are the prime factors of d(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*-1*(-12)\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(2\/(-2)))\/((-10)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1. Let f(b) = b - 1. Let o(l) = f(l) - 3*q(l). Suppose n = -2*j + 13, j - 2*n = -2 + 1. Suppose -2*s + 6 = -x + 4*x, -10 = j*s - 5*x. Determine o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 - -1. Let z = 1256 - 1258. Which is the smallest value? (a) d (b) 3\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 c when three letters picked without replacement from wucuc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/6 + b**5\/20 - b**4\/8 + b**3\/2 - 138*b**2 - 2*b. Let z(s) = -21*s**3 + 4*s**2 - 4*s + 4. Give -4*a(m) + 3*z(m).\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -485.79398 - -492.794. Let d = 7 - w. What is d rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a - 27 = 0. Let y = a - -10. Is (-1)\/(y\/(-19))*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(9)*-2 + sqrt(9)) - (sqrt(17) - (sqrt(51)\/sqrt(3) + 4)))**2.\nAnswer: -8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4321 = 3393*w - 1131*w + 11513 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -47*q**2. Let j(i) = 2*i**2 - 16*i. Determine j(h(a)).\nAnswer: 4418*a**4 + 752*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2.29539623.\nAnswer: 0.229539623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 2. Let s(k) = 8 - 1 - 2 - 6. Determine -f(l) - s(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107409?\nAnswer: 3, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 1357796?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 8*c + 7. Suppose 42 = 6*m + 6. Let i be f(m). Suppose k = -3*y - 11, -2*y + 0 = -k - 1. Is k less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 8*s - 8. Let j be p(9). Put j, -2, -3 in decreasing order.\nAnswer: j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 0, 3*p = 2*z - 8. Let r(q) be the first derivative of -1 + p*q**2 - 2*q - 2\/3*q**3. Differentiate r(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*-1*(sqrt(832) - (sqrt(832) + -1) - sqrt(832))**2 + 4 + 4.\nAnswer: -32*sqrt(13) + 1673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5972, -6974, -8622, -10898, -13784, -17262?\n\"Answer: 3*w**3 - 341*w**2 - 5634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95816 (base 11) to base 5.\nAnswer: 13430114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 795*o - 799*o + 124, 5*p - 79*o = -2459 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 24*h**2 - 101*h + 18. What is q(-28)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2872\/10)\/(10\/25). Suppose f = -0*v + 2*v + c, -5*v = c - 1795. Suppose -5*u = -v - 281. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2267 divide 484702736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129 and 126427095.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2617794 is divided by 1764.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 - (0 - 0). Let r = -597 - -5381\/9. Let f = -2\/9 + r. Which is the third biggest value? (a) g (b) -2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4857.3 + -4580. Which is bigger: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231340.283 + 231321.28300048. Let v = i - -19. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -180*z**3 + 17*z**2\/2 - 3*z - 387. Find the second derivative of h(l) wrt l.\nAnswer: -1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1074737 and 1.779.\nAnswer: 1074738.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30716085.21999991 + -30716100.22. Let m = p - -15. What is m rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 11 + 21)*(5 + 4 - 3)*(0 + 0 - 3*x)*(-5*x**2 + x**2 - 2*x**2)*(-2 + 0 + 1) to the form f + r*x + a*x**2 + p*x**3 and give p.\nAnswer: -4752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 822153073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -38, 4, 5, -2, -619 in descending order.\nAnswer: 5, 4, -1, -2, -38, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, 3, 4, -16.\nAnswer: -16, -4, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 42 = -0*x. Let l be (2 + (-27)\/15)\/(x\/10). Factor 0*a + 0 + 1\/7*a**2 + l*a**4 + 2\/7*a**3.\nAnswer: a**2*(a + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5225445 + 1?\nAnswer: 5225446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/3 + 34*f**3\/3 + 139*f**2\/3 - 58*f = 0.\nAnswer: -29, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5*k**3\/3 + 101. Let b(j) = 25*j + 1. Give b(h(y)).\nAnswer: 125*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 174*w - 64*w - 64*w - 133. What are the prime factors of c(12)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -1224?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1155 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*b + 161, 3*d - 6*b = -4*b + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-85)\/1*48\/(-80). Let w = -30 + u. Let b = -16 + w. What is the highest common divisor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/4 + 18\/(-6))*106. Let q = x - 34. What is the remainder when q is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11320 - 100003220?\nAnswer: -33331300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061 is divided by 380?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 1709*z + 85623. What is j(-616)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (0 + 18 - 20)) + -10 - 118.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2821 + -113?\nAnswer: -2934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1603 and 10992.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2*15\/3)\/2. Suppose -3*d - 5*n + 5247 = 0, 2*d - o*d = -n - 5247. Suppose 4*p - 2332 = t, 4*t + 0*t = 3*p - d. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:33 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 442*b**3*l**3 - 4*b**3*l**2*p - 4*b**2*l**3 - 14*b*l - 24*b*p + 3*l**3*p + l**2*p wrt b.\nAnswer: 2652*l**3 - 24*l**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18078927.\nAnswer: 3, 6026309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5 = 3*y, y - 3*x - 1 = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 109*h**2 + 3*h - 10. Let d(v) = 1197*v**2 + 32*v - 114. Give 2*d(y) - 23*u(y).\nAnswer: -113*y**2 - 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2\/8 - 127395*i\/2 - 509577\/8 = 0.\nAnswer: -169859, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3427 in -4, -175, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -151479*v + 43322990. Determine p(286).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-5))\/((-24)\/80). Let k(x) = 2*x**2 + 5*x - 4. What is k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 4*h + 2 - 3*h + 140000*h**2. Let f(t) = 4*t + 22. Let p be f(-5). Let w be m(p). What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 14427.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 4) + (-11 - -33 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/4 + 25*t\/2 - 45\/4.\nAnswer: -5*(t - 9)*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*s. Let b(o) = -o**2 - 7*o + 7. Let y(i) = -i**2. Let z(k) = b(k) - 2*y(k). Let g be z(6). Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 602 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14584.55365 and 3.\nAnswer: -43753.66095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 2. Let y(z) be the first derivative of 0*z + 1 - 1\/2*z**2. Let c(a) = a**2 + a - 1. Let s be c(1). Determine s*u(r) - 2*y(r).\nAnswer: -r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 1. Let t(w) = w**3 + 4*w**2 - 8*w - 3. Let v be t(-5). Let z(x) = -14*x + 12. Let j(r) = v*p(r) - z(r). Let o(m) = 6*m**2. Calculate j(o(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*n + 6, -3*w + 15 = -2*w + 4*n. Suppose 2*f = -w*y + 12, -4*y + 20 = -4*f + 4. Let c be 4\/18 - 25\/(-900). Do c and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a minute in seconds?\nAnswer: 1830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, and 1 l when three letters picked without replacement from lydrfdd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 110 = 1. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7*l - 44 = 0. Let z be 1\/(24\/23 - 1). Suppose 4*h = h + d + z, 5*h + 4*d = 27. What is the smallest common multiple of l and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*u - 11 = 0, 227*v - 223*v = -u + 11. Suppose 2*p - 3 = 5*z, -p = p + 4*z - 12. What is the highest common divisor of p and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 + -6 - 21) - -4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -713858 = 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 34. Let p be 2\/(-3)*d\/56. Let j = -2 - -2.4. Which is the nearest to 2\/7? (a) 4 (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 8:09 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 v, 1 f, and 1 e when four letters picked without replacement from {v: 1, s: 8, e: 1, q: 1, m: 2, f: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -41.005. Let j = -18.005 - r. Let p = j - -18. Is -2\/59 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 4)*(7*i - 4*i + i) - 3*i - i + 25*i - 3 + 3 + i - i + 0*i - i + (2 + 2 - 5)*(-2 + 2 + 2*i) - 5*i + 2*i + i)*(7 - 1 - 7) as s + v*i and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -52*v - 203. Give o(-5).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 76404942.44+0.8\nAnswer: 76404943.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*i + 1)*(-16 + 6 + 21 + (-4 + 1 + 4)*(0 + 3 - 2) + 3 - 5 + 0).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - 13. Let b = -53 - r. Calculate the lowest common multiple of b and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2481*v**2 + 994*v**3 - 747*v**3 - 245*v**3 - 2481*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 54.8. Let j = -37 + 36.26. Let w = j - 0.26. Sort a, -3, w in decreasing order.\nAnswer: a, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2674 - 544703?\nAnswer: -547477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 479618243 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6*o\/(o*o**9)*o*(o\/o**(-2\/15))**(3\/29) assuming o is positive.\nAnswer: o**(-273\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5\/5 - 164*t**4\/5 - 244*t**3 - 2664*t**2\/5 + 54*t\/5 + 3996\/5 = 0 for t.\nAnswer: -74, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*z + 120 = 0, -2*m - 5*z + 150 = 44. Let d = 97 + -67. Calculate the remainder when m is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 1 - (48 - 30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2181629398 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3330)\/(-60)*(-8)\/30)\/(-6*(-61)\/1830)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693 and 3069.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3960110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*r - 30, -3*r + 28 = -n + 3*n. Let s be ((-2)\/r)\/((-2)\/16). Solve -2*k + 4*d = 16, -9 = -s*d - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5093, -20404, -45929, -81674, -127645?\nAnswer: -183848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 - 88*o**2 - 43*o - 36. Give v(-6).\nAnswer: -2298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(312)*2 - sqrt(312) - sqrt(312) - sqrt(312)) + sqrt(312))*1 + sqrt(312))\/(sqrt(16)\/sqrt(2)*3))\/(-1*sqrt(4800) + sqrt(4800) + sqrt(4800)*-1)*-5.\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 11*v**2. Let t be ((-4542)\/12)\/((-3)\/(-6)). Let r = 252 - t. Let o(m) = -r + m + 1009. What is o(a(x))?\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 2*l**6\/15 + l**5 + 2*l**4 - 8*l**3\/3 + 2*l**2. Let m(x) = 0. What is x?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x + 45*x + 2*w - 118, -93 = -3*x + 3*w. Solve 90 = -18*p - x for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 4*p + 3*p)*(-4532*p**3 - 8731504 + 8731504).\nAnswer: -9064*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*z + 4*n - 2 = 192*z, 6*z - 4*n = -20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -104*k - 476. Let q be u(-7). Suppose -183*a = -181*a - q. What is the least common multiple of a and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**3 + 6*s**2 - s. Suppose -13*l - 9 = -10*l. Let z(t) = 2*t**3 - 5*t**2. Let w(a) = l*z(a) - 2*g(a). Solve w(j) = 0.\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 + 4749828*b**2 - 8460329510920*b + 50761920067600\/3.\nAnswer: -2*(b - 3562370)**2*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from mnmmmnnw.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/65128 and 9\/4652.\nAnswer: 65128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k + 15. Let a be b(-2). Let h be (a + 5)*(-18)\/(-12). Is h + -2 + (-2070)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/104 and -53\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-738)\/(-27) - (10\/(-6) - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/6)\/(14\/(-21)). Suppose 0 = q*p - 4*p - 2. Suppose -2*b = p*b - 36. Solve 0 = -4*r + 12, 5*r - b = 5*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 10. Let w be l(-10). Suppose w = u + 4*u - 40. Let m = u - 4. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - -103. What is the greatest common divisor of d and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54432745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 11847055477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.214 (c) 5 (d) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 0.008175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 3774 = 64596. Is 24\/(-60) + i\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*g + 16, 8 - 28 = -g + 5*i. Solve g = 5*f + 15 + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215053 (base 6) to base 2\nAnswer: 100011000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 17*a - 16. Let n be z(13). Let x be 299\/11 - n\/198. Let w = 39 - x. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5894419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5773.848 - 47.948. Round g to the nearest 100.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 25*l + 32100. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10, i: 2, z: 4, j: 1}. What is prob of picking 2 z, 1 p, and 1 j?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -508 + 249. Let r = -51 - v. Suppose 84 = 4*u - r. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 2*g**2 - 2*g - 1. Let q be b(-1). Suppose 96 = -4*f + 4*o, -2*f + 2*o - 27 = 7*o. Put f, q, 5 in ascending order.\nAnswer: f, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*k + 12. Let l(b) = b**2 + 5*b + 5. List the prime factors of l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 5, -0.034?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 0*k - 136*k**2 + 180*k**2 - 2*k.\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mggxpxgmggxp. Give prob of picking 1 x and 1 m.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 20001110?\nAnswer: -20001030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10)*(1 + -6). Let a(b) = -b**2 - 3*b + 6. Let k be a(2). Put -1, k, n in descending order.\nAnswer: -1, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111110 + -201?\nAnswer: 1110303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 185*l**2 + 410*l - 8050. Calculate r(183).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 6\/8*(-783 + 7). Let n = 595 - r. Calculate the least common multiple of n and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7755947 is divided by 3599?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -2 - -1 - (36 + -58)) + 39?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2758.936701 and -0.0014?\nAnswer: 2758.938101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/1607705 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-40)\/8 - (-1230)\/(7 + -5).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m**2 - m + 5. What is t(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**5 + 15*i**4 - 99*i**3 - 579*i**2 - 240*i + 900 = 0.\nAnswer: -5, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**4*a)\/(a\/((a\/a**12)\/a*a))*(a\/a**(-5)*a)**44)**(2\/17))**(3\/38) assuming a is positive.\nAnswer: a**(906\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 - 1003491.\nAnswer: -1003268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 13*i + 1. Let c(w) = -3*w**2 - 38*w + 5. Let n(a) = 6*c(a) - 17*p(a). Calculate n(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(7\/147*12\/(-10)). Suppose -24*a - 50 - j = 0. Let q(t) = -4*t**2 + 8. Let s(m) = 3*m**2 - 7. Determine a*q(f) - 6*s(f).\nAnswer: 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 + (5 - 8) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*(sqrt(15) + sqrt(15)*1))\/(sqrt(900)\/sqrt(12)) + -2 + 2)**2.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1981363 to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*x - 0*x. Suppose -4*r = 3*z - 28, -z + x*z - 2*r - 4 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261865*o**2 - 218592*o?\nAnswer: -523730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:45 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 227711641 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1842 + -0.6158. What is the closest to -1 in -5, q, -3\/7, 12?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 0) + 30\/6. Let j = 8 - z. What is the second derivative of -5*r - 3*r + 5*r - j*r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.617578 + 0.024578. What is p rounded to 1 dp?\nAnswer: -26.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*v**2 - v - v**3 - 2*v + 106*v**2 - 2*v**4 to r + b*v**2 + s*v + i*v**4 + j*v**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/8 - (-8)\/32. What is the nearest to t in 2\/9, 5, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14908*p. Let l(b) = -4*b**2. Give g(l(o)).\nAnswer: 59632*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34436 - 505644 = -86*h. Is 40 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3588623.89369 and -3?\nAnswer: 3588620.89369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b + 6*b + b**3 + b. Let c(s) = 11*s**3 - 3*s**2 - 10*s - 7. Let a(d) = 5*d**3 - d**2 - 5*d - 3. Let q(n) = 5*a(n) - 2*c(n). Give -2*q(f) + 5*x(f).\nAnswer: -f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c**2 - 6*c - 89. Let w(l) = 22*l. Determine w(f(m)).\nAnswer: -154*m**2 - 132*m - 1958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5866.33 rounded to the nearest 100?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*r + 52, -5*r + 9 + 56 = 5*k. Let g = r + -10. Solve -5*h - g*u = 3, 4*h + u - 1 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12867667 is divided by 2721.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1226, 0.3, -0.05934 in decreasing order.\nAnswer: 4, 0.3, -0.05934, -1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56073 is divided by 9342?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10001010101110?\nAnswer: 10001010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136756 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -29 + 62 - 3*g + 2*g - 31. Let f(r) = 4*r**2. Let i be f(1). Calculate u(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -5 (b) 0 (c) 2\/9 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -445.\nAnswer: 81\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**3 - 4*u**2 + 2*u. Let z be n(2). Solve -d - z = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 4*w + 3. Let b(c) = 3*c - 2. Let m(a) = -3*a + 2. Let x(g) = 5*b(g) + 6*m(g). Suppose -o - 4 + 2 = 0. Give o*n(i) + 3*x(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1230.22878 to 0 decimal places.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11453868 by -1272652.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 r when three letters picked without replacement from {k: 1, l: 4, o: 11, q: 1, r: 1, v: 2}.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*b + 46, -7 - 23 = -v - 5*b. Suppose -32*q - v = -37*q. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2*c - 4. Let h = 11 + -6. Let m(t) = 2*t - 6. What is the remainder when a(-5) is divided by m(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -3001320?\nAnswer: -3001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + w = -0*w + 6, -r + 5*w - 8 = 0. Let f(b) = b + 2. Let u be f(-4). Let n be u + 12\/3 - -11. Solve -3*h - r = n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 261*o**2 - 295*o + 552*o**2 + 601*o**2 wrt o?\nAnswer: 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0 - 7\/60*j**5 - 7\/24*j**4 + 0*j + 7\/15*j**6 - 8\/3*j**3 - 4*j**2. Let m be p(7). Round m to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 51678614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141*g**5 + 215*g wrt g?\nAnswer: -2820*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37092*p - 37051*p - p**3 + 74143*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 7*b + 2. Let j(o) = o + 2. Let t be j(2). Let i be l(t). Factor i + 4*h**2 + 12*h - 17 + 11.\nAnswer: 4*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41\/18 - 7\/9. Let x = -298 - -1491\/5. Sort 3, -4, x, r in increasing order.\nAnswer: -4, x, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 639811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*u = 71*u + 384472. What is the greatest common factor of u and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3 (c) 3\/7 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2 - (-1)\/2. Let j be (y\/4)\/(2\/96). Let q = j + -1. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhy when three letters picked without replacement from {d: 1, j: 2, n: 1, y: 2, h: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 - 5814*z\/11 - 4225312\/11.\nAnswer: -2*(z + 1451)*(z + 1456)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 545015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + 10*j**2 + 6*j**2 - 15*j**2 as c*j**2 + g + m*j and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x - 36*x + 109*x - 37*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Suppose 2*y - 4*i = -2*y + 4, 2*y + 5*i + 5 = 0. Solve 9 = r*k, 2*q - k + 3 = -y*k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-1)\/(-60)*2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -7, -3, -4 in ascending order.\nAnswer: -7, -4, -3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 18*p + 31065, r = -0*r + 2*p + 31033. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 30, 58, 92, 132, 178, 230?\n\"Answer: 3*o**2 + 13*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -1\/6, -3\/4, -3\/8 in increasing order.\nAnswer: -3\/4, -3\/8, -1\/6, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*-2*-1*sqrt(140))\/((sqrt(2268)*-2 + sqrt(63))\/sqrt(9)).\nAnswer: -1 + 8*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3. Let d(c) = c + 18. Let n(g) = d(g) + 6*p(g). Let l(i) = -8*i**2 - 13*i**2 + i - 3*i + 4*i**2. What is l(n(j))?\nAnswer: -17*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 2*z**3 + z**3)*(-6*z**2 - 2*z**2 + 9*z**2).\nAnswer: 2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2223*0.3\nAnswer: -666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/9 (c) 7\/96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppj when four letters picked without replacement from {k: 2, y: 2, p: 6, n: 3, g: 4, j: 1}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2021 and 752?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 465 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.506794us to hours.\nAnswer: 0.000000004029665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 6*s + 9. Let m(v) = 6*v**2 + 17*v - 27. Let j(b) = 17*f(b) + 6*m(b). What is the derivative of j(o) wrt o?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 7*v**2\/4 - v\/2 - 1\/4.\nAnswer: -(v - 1)**2*(4*v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 7. Let o be l(-3). Sort -5, 10, o in increasing order.\nAnswer: -5, o, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from fjvfvxffx.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -59 (b) -2 (c) -5 (d) 2\/15 (e) 72 (f) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 3*h - 21, 0 = -3*a - h - 4 + 15. Let b be 1\/(1*a\/(-15)). Let o = 0 + b. Put 3, o, 1 in decreasing order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 - -3733339.\nAnswer: 3733308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.049 + 1.831. Let m = -0.12 - o. Which is the third biggest value? (a) m (b) 2\/15 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231110 + 1?\nAnswer: 2231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {n: 13, z: 3, w: 1}.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 8*l = 4*v - 36, 3*l + 4 = 4*v. Suppose -5*f + 18 = l*r, 3*r - 6 = -3*f + 6. List the prime factors of 50\/4 + 1\/r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 3*u - 397 = 0, -2*n - 10551*u + 5273*u = -5281*u + 89 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 191, 397, 619, 857, 1111, 1381?\n\"Answer: 8*y**2 + 182*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3)*r*r*r*(r*r**(-9\/13))\/r)\/(((r**(12\/11)*r)\/r)\/(r*r*((r**(-2\/15)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-1966\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 28, -3\/5, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223011021 (base 4) in base 16?\nAnswer: -6b149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1 + 6 - (-134)\/(-19)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20067 * -45298.\nAnswer: -908994966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -15*d**2 + 240*d + 28. Determine x(16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 36*o**2 + 7*o + 94. List the prime factors of s(-27).\nAnswer: 2, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10519463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 1.8, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67132 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**3*p*p**(-2\/7)*p**(-5)*p**(1\/2) assuming p is positive.\nAnswer: p**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, n: 1}. Give prob of picking 1 c and 1 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.087 times -0.4\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1154*d**3*g**2 + 32*d**2*g**2 + 5*d**2 + 2*d*g**2 wrt d.\nAnswer: -6924*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**3 + 17*x**2 + 14*x - 18. Let f(l) be the first derivative of 5*l**4\/4 + 2*l**3 + 5*l**2\/2 - 6*l - 839. What is -17*f(d) + 6*o(d)?\nAnswer: -d**3 - d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 13*a = 1440. Let h = 210 - a. What is the remainder when 86 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2641660 and 2212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -10. Let o = -6 - w. Let n = 36 - o. Calculate the remainder when n is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*j + 3*k, -j + k = 3*k - 25. Let f be -21*(-17)\/((-153)\/(-57)). What is the greatest common factor of f and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v - 2 = -135 + 18. Put 581, v, 0 in decreasing order.\nAnswer: 581, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -108 - -104. Sort -3\/4, 0.04, 0, v.\nAnswer: v, -3\/4, 0, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1570*f**5 + 3*f**3 + f**2 + 3920*f.\nAnswer: -94200*f**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*u + 80 = 0, 3*z + u - 32 = 29. Suppose i = -0*i + z. Solve -4*g - 1 = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - y + 4 + (0*y - 2*y + 4*y)*(0 + 2 - 4))*(11 + 14*y**3 - 11).\nAnswer: -70*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:45 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/(-9))\/(2\/24). Let h be (-2)\/(-8) + (-13)\/z + 3. Suppose -2*i - 3*k = -3*i - 2, 0 = -5*k + 5. Put 6, h, i in descending order.\nAnswer: 6, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 39*p + 5343. Determine c(97).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19106856 and 1152?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -492, -766, -1040?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {s: 4, r: 1, o: 6, v: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 2. Let t be m(-7). Let a be ((-3)\/t)\/(2\/(-8)). Is a\/(-5) + (-614)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6418111, -6418108, -6418105?\n\"Answer: 3*f - 6418114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 32 - 37. Suppose -4*b + 3 = -17, m - d = -4*b. What is the second biggest value in -2, m, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49.98 + -50. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-3)*v)**(24\/11))**(-11\/2) assuming v is positive.\nAnswer: v**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -1 + -1)\/2. Let q be 0 + p*1\/2. Suppose q = y - 21 - 44. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2. Let n(w) = 288*w - 448*w + 2483*w. Give p(n(z)).\nAnswer: -5396329*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 61. Let i = r + -27. What is the highest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576315 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99022935 divided by -33007645.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 - -5.25\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 7, 15, 2, 4.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 - 4 = 4*x, 0 = 3*x + 3*h + 3. Let d be x\/((2\/5)\/(112\/60)). What is the hundreds digit of 172\/1 + (d + 2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 105 + 3211 + (13 - 1). Is 3329 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5 + h**4\/12 + 2*h. Let z be -1*2 - 9\/(-9). What is the units digit of u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 c when two letters picked without replacement from {n: 1, c: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*f = 35 + 61, 5*f + 232 = 3*q. What is the remainder when q is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329475235 to the power of 1\/2, to the nearest integer?\nAnswer: 18151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -35*(-1)\/1 + 0. Let o be (-3 - 34) + 15\/3. Let z = m + o. Solve -4*d - 3*g = -31, 10 = z*g - g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*p**4 - g**2*p - 9783*g**2 + 730*g*p**3 wrt p.\nAnswer: -12*g**2*p**2 + 4380*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 11. Let j be o(8). Let w be 41\/j + (-4)\/6. Let h = w - -1. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((-23 + 65 - 32) + 1 + 9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f + 3*a, -2*f + 0*a + 4 = 2*a. Solve -q - 3*q = -g + 1, f*q + 2*g = 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*(16207\/57 - 16). Which is bigger: x or -4024?\nAnswer: -4024","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 12205*m**4\/4 + 462*m**2 - 3*m + 10152. Find the second derivative of i(c) wrt c.\nAnswer: 73230*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-77) + (-3325)\/2310\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, 6, -4, -11, 5, -20 in increasing order.\nAnswer: -20, -11, -4, 1, 5, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79159906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1608 and 21976?\nAnswer: 65928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17872, 17873, 17874?\nAnswer: 17875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let o(i) = -168*i. Let m(p) = 252*g(p) + 2*o(p). Let c(v) = -2*v. Determine c(m(r)).\nAnswer: 168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4484520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 94\/11 + 330\/(-605). What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4670 and 16.\nAnswer: 37360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3*q + 0*q - 8.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -293892 divided by -2?\nAnswer: 146946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*q - 4*k, 0 = 4*q - 3*k + 1. Let t = 6 + -9. Put t, -5, q in increasing order.\nAnswer: -5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -944.34 - -949.8649. Let s = t + -5.49. Round s to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 81*o**2 - 1. Let h be d(1). Suppose l = -3*l + 8. Suppose 2*f - h = 4*x, 0 = -f + l*x - x + 45. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/13, -3, 0.4, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.1 (c) 0.06 (d) 19 (e) 2\/3 (f) 0.646 (g) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228.35733 rounded to the nearest 10?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 8*t - 30*t + 13*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/32))\/h**1 assuming h is positive.\nAnswer: h**(-1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -243 + 553. Let s = -294 + m. Calculate the remainder when s is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 116 - 141 = 0. Suppose 10*b + 60 = u*b. Calculate the least common multiple of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 353\/7 + -50. Which is the nearest to 3\/11? (a) 3\/2 (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2 + 16. Suppose -q = 3*q - 4. Calculate the smallest common multiple of q and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15158886 + -27008886. What is c rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:14 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3543072 by -1336.\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, 1\/30, 10912?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8668 and -113\/522444?\nAnswer: 5746884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:50 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/(-1))\/((-2894)\/(-28940)))\/((-5)\/(-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -8\/45, -2\/13, 16897?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -3060257\nAnswer: 23\/3060257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-21) + 49\/3. Suppose -2*i + i = -y. Solve 3*p + i = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.1 - -14. What is the closest to 0.3 in 4\/5, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -314800 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3753 and 2641?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/140 + 693\/30. Solve -5*z + 3*w - m = 0, -6*z + 4*z + w - 9 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/204 and -23\/7060.\nAnswer: 360060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.891 - -1.491. Let y = -9.2 + 8.2. What is the nearest to -4.3 in m, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591*g**2*h*w**2 - 7*g**2*h*w - 2*g**2 + 1462*g*h*w**2 - 4*g*w - 146*g - 3*h - 1 wrt w.\nAnswer: -1182*g**2*h + 2924*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.112473 decades to centuries.\nAnswer: 0.2112473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 950 + 265 = -3*m, 5*m + 2117 = -7*h. Which is the nearest to 0.03? (a) m (b) 0.1 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(2)*-1 + sqrt(2) - sqrt(2)))\/((2*sqrt(12))\/sqrt(3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2587646*o. Let y(n) = -2*n**2. Calculate m(y(s)).\nAnswer: -5175292*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311679 is divided by 4004?\nAnswer: 3371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + sqrt(2) + sqrt(6)\/(-1*sqrt(3)) + ((sqrt(2)*2 - sqrt(2))*-4 - sqrt(2)) + sqrt(2).\nAnswer: -4*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s - 13. Let d be n(3). Suppose -24 = -q - d. Solve y - 4*j - 6 = 2*y, -3*y = 4*j + q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 - 32 - 2*y**4 + 59 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 33*t - 325. What is the units digit of w(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 7:26 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-45 - -37) - 23?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 24 + -24 + 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2. Suppose -2*q = -5*q - 36. Let x = -10 - q. Let o(b) = -2*b**2 + 6*b**2 - 3*b**x. Give h(o(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8001 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1034 + 7025?\nAnswer: 8060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55171459 is divided by 2253?\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9733.3 - -349340338?\nAnswer: 349350071.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -47603993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(160))\/sqrt(2).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.4. Let i = -7 - -3. Which is the nearest to i? (a) -5 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 44. Let h(s) = -s**2 - 3*s. Calculate h(l(v)).\nAnswer: -v**4 + 85*v**2 - 1804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 28*u - 130. Suppose -14*o = 77 - 273. What is the tens digit of q(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26904 and 1668756.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1542 - 1509. What is the remainder when 473 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4 - 992210*m**3\/9 - 13672736468*m**2\/9 + 16712384072*m\/9 - 3038655376\/9 = 0?\nAnswer: -27562, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 14, d: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + 20 + -29 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3812 = 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -11 (c) 279\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5325, 5.\nAnswer: -5325, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7 times -0.01703?\nAnswer: 0.045981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -19 in descending order.\nAnswer: 3, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/160 and -109\/14.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 37 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 + j**3 - 24 - 27)*(3*j - 9 + 9)*(0*j + j - 2*j).\nAnswer: -3*j**5 + 42*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.2 - -10. Let j = 26761.3 - 26761. Which is the closest to o? (a) j (b) 0 (c) 2\/13 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -19.0031. Let l = a - 4.7869. Let m = -0.21 + l. What is the third smallest value in m, -4\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69560 + 100549. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38*u + 97. Let f(c) = -400*c - 970. Let i(g) = 2*f(g) + 21*n(g). Let a(o) = -4 + 4 - 2*o. What is i(a(z))?\nAnswer: 4*z + 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10202166523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011111000010 (base 2) to base 7.\nAnswer: 203216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 1690000*c**3 + 822*c + 1 - 3*c**2 + 0 - 823*c. Let d be h(-1). Round d to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000428869 rounded to 6 decimal places?\nAnswer: 0.000429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y + 4. Determine o(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2. Let f(p) be the first derivative of 17*p**2\/2 + 22. Give o(f(x)).\nAnswer: 289*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-15))\/(4 - (-42)\/(-10)). Let h(n) = 1499*n**2 + 9. Is h(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/136, -6744, 0.1 in decreasing order.\nAnswer: 0.1, -1\/136, -6744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3d6 + 8?\nAnswer: c3de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001 - -1101100000110010?\nAnswer: 1101100110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 9*p + 10*p**2 - 26*p**2 to x + d*p**2 + y*p and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67245630 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-14 - 37) + 40 + 78?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25885430999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)\/(sqrt(121)\/sqrt(99)))**2 - ((2*(sqrt(304) + 0) - sqrt(304)) + sqrt(304))**2.\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -153*a + 151*a. Suppose -3*g + a = 3*w - 146, -2*g + 3*w = -104. Let h = 64 - g. Calculate the highest common divisor of h and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*x - x**2 - 2*x**3 + 229*x + x**2 - 12*x**3.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-120)\/90*(-99)\/(-24))\/((-1)\/(-6))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/36*(-3)\/10.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60\/119687 or 0?\nAnswer: 60\/119687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4218, -3\/11, -2\/3, 2\/9, 0.4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 19. Let t = a - -19. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432264 divided by 108066\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 728907533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12446, -24724, -37004, -49286, -61570?\n\"Answer: -u**2 - 12275*u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5517 is divided by 112?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2025 and 89258175?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 171*g**3 - 3*g**2 + 9. Let c be h(4). Suppose c = 19*k + 3647. What are the prime factors of k?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-92)\/(-22) + (-11)\/((-121)\/(-2)). What is the third derivative of -24*w**l + 39*w**4 - 4*w**2 - 3*w**2 wrt w?\nAnswer: 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2787461864?\nAnswer: 2, 11, 2917, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27934275.25 rounded to the nearest one thousand?\nAnswer: 27934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -19, 872, 12 in increasing order.\nAnswer: -19, -18, 12, 872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4806 = 21*y - 60981. What are the prime factors of y?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -5*u, 5*n + 5 = -2*u + 4*n. Let c be (2\/5)\/(1\/5). Solve u = k + c - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4968*p - 480. Let o be u(35). Round o to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = 11*q - 5920. What is the remainder when q is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/18398952 and 127\/943536.\nAnswer: 36797904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - r + 2942, 6*v - 2*r - 3906 = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 - -72. Suppose 0 = 2*s - f + 3*f, 0 = 5*s - u*f + 18. Is s equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyyyyjyjy?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*j + 8 + 7 = 0, 0 = i + 3*j + 12. Let p(d) = d**2 + 5*d + 3. Let g be p(i). Let z = 5 + g. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 11*b**2 + 11. Let u = 32716 - 32714. Let h(v) be the first derivative of -2*v**3 + 3\/4*v**4 + 0*v**u - 6*v + 31. Give 6*f(w) + 11*h(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.97 - -0.03. Let y = n - 1. What is the third biggest value in y, -2\/9, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 + -13 + -7 + (-1 - -5)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1529627463 and 2646?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 4*g - 36, -490 = -125*g + 21*r - 23*r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5547247?\nAnswer: 5547247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -22. Does 20 divide (12\/k)\/((-1)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(288) + sqrt(288)*-2.\nAnswer: -12*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.42 in -0.03, -5, 2\/11?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - 5*l - 42, -2*g + 46 = -2*l. Let f be (-12)\/11*(-1815)\/110. Let q(p) = -p**2 + 20*p + 14. Calculate the least common multiple of q(f) and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5667 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*q**2 - 3 - 201*q**3 - 162*q**3 + 6 + 10 + 20*q**2 wrt q.\nAnswer: -2178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 - 17*p + 10. Let w be s(5). Suppose w = -5*v - 720 + 8230. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 16*d**2 - 31*d + 66. Determine s(-18).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02298 - 0.02298. Let d = 11.2 - 11. Sort o, d, -3 in descending order.\nAnswer: d, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*g*m - 25029*g + 2645*m with respect to m.\nAnswer: 7*g + 2645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -722\/7 + 103. Let y = -8 + 6. What is the nearest to -5 in b, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*-4*(-12)\/32\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18458*r - 33084 - 33079 + 66164.\nAnswer: 18458*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44402 (base 9) to base 11.\nAnswer: 20176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 + 185*v**2 + 121*v - 420. Give l(-61).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-21 + 1) - (-17)\/4. Let h be (69\/63 + -3)*(-6)\/i. Let j = h - 89\/14. Calculate the common denominator of -23\/80 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4398*r + 0 + 0.\nAnswer: 4398*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 325 + -316. Let n be 275\/(-4) + (-2)\/8. Let m = o - n. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28117.98 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let m be (0 - -2)*w + 17. Suppose 5*p - 51 = -4*z, 4*z - 1 - m = 0. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d - 506 = -7106. Solve 121*j = d*j + 6 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7641689900 to the nearest one million.\nAnswer: -7642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -11.8. Let l = p + 2.8. What is the third smallest value in l, -3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**5 + q**5 - 3*q**5 + (0*q + 0*q + q**4)*((0 + 1 + 2)*(q - q + 2*q) - 2 + q + 2) + (-3*q**3 + 4*q**3 - 3*q**3)*(-3*q**2 + 2*q**2 + 2*q**2).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*k + 3\/2*k**3 - 57\/2*k**2 + 0.\nAnswer: 3*k*(k - 20)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 629 - 588. Suppose -5*s = 2*h - 47, -4*s = 2*h - 47 + 11. Suppose -10*d + s*d = 22. What is the remainder when y is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 49\nAnswer: -9.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + g**2 - g. Suppose l = -3 + 4. Let b(z) = z**2 + 3*z. What is l*b(r) - q(r)?\nAnswer: -r**3 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35556193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2335 in -2\/7, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107879*o**2 - 107877*o**2 + 220*o - 29*o.\nAnswer: 2*o**2 + 191*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 389, 584, 779?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsss when four letters picked without replacement from ssssjsssjsj?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k. Let b be p(-1). Let c(w) = -w + 18. Let y be c(10). Let i(g) = 4*g**3 + 2 + 3*g - 6*g**2 - y*g - 3*g**3 + 10*g. Calculate i(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16270080 is divided by 57289.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 15 = 3*t. Suppose 27 = 4*p - 5. What is the second derivative of k**2 + p*k - k**2 - 5*k - 3*k**t wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -19, 0.142, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 12) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 230*y + 2621. What are the prime factors of z(33)?\nAnswer: 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 113*p**3 - 7*p**2 - 78*p + 87. Give h(1).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0468 - -3438.\nAnswer: 3436.9532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700996*q + 701001*q + 5 = 3*v, 4*q - 5*v + 30 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68898 and 0.0698?\nAnswer: 4809.0804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/13 (c) -1\/6 (d) 0.4 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228 in -0.3, 3.1, -5, -0.138, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86886*k**3 + 2*k**2 - 5*k - 7263356 wrt k?\nAnswer: -260658*k**2 + 4*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 + 63*l + 3. Let w be x(12). Let d(m) = 6*m**2 - 3*m - 7. Let h be d(5). Suppose -w = o - h. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3745362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39305 is divided by 37965.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*v + 4*o - 1, -15 = -5*o. Let d be 1007\/209 + v\/22. Let l(s) = s**2 + s + 2. Let n be l(0). Solve 5*c + 14 + d = -2*p, -n*p + 11 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*g - 179*g - 88*g in the form n*g + u and give n.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, s: 7, m: 2}. Give prob of sequence msms.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5347999*c + 33112684?\nAnswer: 5347999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-139)\/(-52))\/((-105)\/6). Let g = o - -4\/35. Suppose 195 - 3 = -104*m - 16. Sort m, g, 0.1.\nAnswer: m, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 4)\/(-1)*(-35 - -25). Let i be -1*2\/(-4)*6. Let a(c) = -10*c**2 + 4*c**3 - 3*c**i - 2*c + 0*c + c + 10. Determine a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 762 = 12*a - 3*c, 5*a = -5*c + 3850. Is a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(-6)\/15*-2. Let f be 93\/54 + 6\/s. What is v in 0 - 2\/9*v**2 - 4\/9*v + f*v**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4, 273*a - 271*a = -4*n + 6 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = 3*x, -3*x - 3*z - 10 = -x. Let y be (-4 - x) + 1 - -3. Sort 4, y, -2 in descending order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2*k - m, -2*k = -2*m. Suppose k*v = -3*v + 15, 0 = -3*s + v + 3679. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*x - 16, -2*x = u - 7*x - 28. Suppose -4 = -r - u*r. Let a = 3 - -3. Solve -y = a - r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 - 5 = -5*g, -r + 21 = 5*g. Suppose a + 3 - r = 0. What is the remainder when 4 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4133130 (base 5) to base 13\nAnswer: 24bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 14, g: 1}. Give prob of sequence vvzg.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*r**4 + r**2 + 23*r**4 + 1 + 10*r**4 - r - 4*r**3 - 6 to the form z*r**2 + y*r**3 + n*r + t + f*r**4 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 174778\/(-1922) - -53 - 2\/31\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124343614 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:42 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.5, -1\/4, -269, 0, -7, 5 in ascending order.\nAnswer: -269, -7, -1\/4, 0, 0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244523?\nAnswer: 439, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r**4*w**3 + 2887*r**3 - 474*r**2 - 104*w**3 wrt r?\nAnswer: -120*r*w**3 + 17322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + 2. Let a be (-30)\/t + (-2)\/4. Let g be 3 + (3\/(-3) - -1). Solve -r - 5 = 5*m + a, g*r - 21 = 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648*c + 20 = -1628*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 47*a**2 + 1477*a + 1478. Give g(-1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -b - 11, -4*i - 380 + 412 = -4*b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 6985825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*q = 1291 + 893. Solve q*c = 30*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -239, -355, -471, -587?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90*(-29)\/(-609))\/((-42)\/392)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 854, -1\/4, -628\/9, 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807685 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + sqrt(7))**2 + 5 + sqrt(7) + (sqrt(7) - 2*sqrt(63)).\nAnswer: -4*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4317 = 4*l + 5*u, -3*u + 141 = -2*l + 2338. Does 34 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:57 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1 + 1 + 0 - 2 + (-3 + 2 - 1)*(4 - 4 + 3))*(v - 3*v + v) + (0*v + 4*v - 2*v)*(2 + 3 + 1).\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2428 + 663. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.1 - 0.1. Suppose 37*r = 57*r - 120. Let m be (r\/(-2))\/6*0. Which is the nearest to m? (a) -4\/5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 90?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*6\/20*15\/(-2). Is (-6)\/(-8)*(2 - g) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6304*g - 55685 = -93950 + 593017 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/13769 and -1\/562.\nAnswer: 27538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 3*a**5\/20 - 9*a**4\/4 - 5*a**3 - 3859*a. Factor d(f).\nAnswer: 3*f*(f - 10)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f. Let n(a) = -22*a - 285. Give b(n(w)).\nAnswer: 198*w + 2565","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9493 and 693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 310 and 310.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guc when three letters picked without replacement from wcgcugcwggggucggcgwu.\nAnswer: 3\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + d + 62 = 0, 0 = -3*m + d + d + 49. Suppose 5*k - m = a, 4*a - 3*a = 3*k - 7. Suppose -p = -k*p + 14100. Round p to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6212744 rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -255 + -6?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 19*o**2 - 26*o - 14. Calculate r(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.688 - 0.2649\nAnswer: -2.9529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**3 - 5*i**3 - 23 + 13 - 2*i - 8*i**2. Let l = -3 + 2. Let k(r) = r**2 + 1. Give l*w(g) - 10*k(g).\nAnswer: 2*g**3 - 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 181722620?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -780479 less than -97?\nAnswer: 780382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.48000097 - -1.48. Round j to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((-18)\/16)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 544\nAnswer: 87\/544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 2*f + 0*f)*(-3 + 4 - 10)*(-37 + 55 - 51)*(5*f - 5*f - f) to the form z*f**2 + v + c*f and give z.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Suppose -3*w = -m - 4*w + c, 5 = 5*w. Suppose 2*n = -m*n - 10. Are n and -2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 37*u**2 - 2*u + 1. Let y be h(1). Let g(w) = w**2 + 16*w + 19. Let i be g(-18). Let t = i - y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -3, -5, 12769 in ascending order.\nAnswer: -5, -3, 45, 12769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 3. Calculate the greatest common divisor of 56 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-25)\/(-30)*(135\/30*-4 + 12). Let g = -1 + 0. Which is the nearest to g? (a) -1 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203271546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -371 + 368.13. Let s = i - 1.13. Let n = 103\/2 - 53. Sort s, 5, n in decreasing order.\nAnswer: 5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 161, -27, 58, -1\/7, -1\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14634?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2524.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*b + 0)*(2 - 3 - 1) + (2 - 2 + 2)*(b - 3*b + 0*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + z = 3*u + 3, -25 = -5*u + z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose -2*a + 3*f = 2*f - 10, 0 = -w*f + 6. Calculate the highest common divisor of 9 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - 3*z - z)*((4 - 2 - 3)*(-2*z + 2*z + 2*z) - 2*z + 8*z + 3*z) to a*z**2 + w*z + o and give a.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from dyqqddqeyyyyy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2*w - 12. Calculate v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790751859 to the nearest integer?\nAnswer: 28120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.03 = 14643806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*z + 3. Let m(k) = 222*k - 1329. Let y be m(6). Let s(w) = 2*w**3 + w**2 - 6*w - 3. Let t(o) = o**3 - 5*o - 2. Calculate y*t(a) + z*s(a).\nAnswer: -a**3 - 2*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1965)\/(-1965)*63\/(-1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6637, -26929, -60799, -108247?\nAnswer: -169273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctbwgcbnt. What is prob of sequence gbc?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5*565\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 357205 divided by 357205\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 112539879 to the power of 1\/2, to the nearest integer?\nAnswer: 10608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.856176 to 1 dp.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenjwnnnhwhlnen. What is prob of sequence wl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 39. Solve 3*c + 12 = -5*z + 29, 0 = 3*c - l*z + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, n: 13}. Give prob of sequence nnn.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.139 + -0.561. Let k = 1.3 + 0.7. Which is the biggest value? (a) n (b) 1\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35032 is divided by 473?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 95*t**2\/4 + 1609*t\/4 - 51\/2 = 0. Calculate t.\nAnswer: -17, 6\/95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10047313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 - 3*v**3 + 4*v**3)*(3*v - 5*v + v) - v**4 + 0*v**4 + 3*v**4 - v + 0*v - 9*v**4 + 10*v**4.\nAnswer: 2*v**4 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959086 to the power of 1\/2, to the nearest integer?\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, 0.3, -2.1, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53720 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((77\/35)\/11)\/(15\/(-25)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103608 divided by -3.\nAnswer: -34536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -16 + -20 + -32 - -17?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 866775060 a multiple of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z + 3. Let d be r(0). Let k be ((-7)\/d)\/(1\/3). Let a = -5 - k. Which is bigger: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 0 + 2\/3*t**4 - 2\/3*t**2 - 4\/3*t**3 + 4\/3*t**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 216 = 36*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.034 - -0.004. Let y = -2 - -2. Let x be (-1)\/3*(-1)\/(-3). Which is the closest to y? (a) 4 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10454.51t to kilograms.\nAnswer: 10454510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/661 - -25074\/7271. What is the common denominator of n and -47\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + -2 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x)*(0*x**3 + x**3 + x**3) - 4*x**4 + 4*x**4 + 2*x**4 + (4 - 4 - 104*x)*(-79*x**3 + 2 + 72*x**3 + 3*x - 5*x).\nAnswer: 726*x**4 + 208*x**2 - 208*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 407515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -6. What is the lowest common multiple of (-1)\/((-5)\/(-6) + -1) and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905*c - 818*c + 801 + 1113 = 0 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31\/2 - 1) + 10\/(-20). Let m(d) be the first derivative of 0*d**4 + k + 3\/5*d**5 - 9*d - 12*d**2 - 6*d**3. Factor m(y).\nAnswer: 3*(y - 3)*(y + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dss when three letters picked without replacement from {d: 3, s: 5, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/20*(-8)\/2 - -15. Let j(g) = -3*g + 42. Let o be j(a). Solve -l + 15 = 3*l - o*k, 3*l - k - 5 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40.24220563+-2\nAnswer: 38.24220563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4530.3 + -4809. What is j rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -4 - (-77 + 70 + (22 - 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*l - 462*l = 4218 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.5 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 22*t. Let b(j) = 8666*j**2 - 35. Determine b(y(v)).\nAnswer: 4194344*v**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 56*q + 224*q - 49.\nAnswer: 280*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/12*12\/(-9). Suppose -d*o + x = -20, 2*o - 2*x - 22 = -0*x. Which is greater: o or -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18719 + 18739. Solve 5*h + t = -5*a + 40, -3*h + 4*a + 19 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-50245 - p**2 + 0*p**2 + 63071)*(-3*p**3 - 2*p**3 + 6*p**3).\nAnswer: -p**5 + 12826*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0 - 2\/135*o**5 - 1\/90*o**6 + 4\/27*o**3 - 71*o**2 + 0*o + 1\/18*o**4. Factor i(l).\nAnswer: -4*(l - 1)*(l + 1)*(3*l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -35186*k + 105684. Give d(3).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1759, -15875, -54195, -128821, -251855, -435399?\nAnswer: -691555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25079\/2 - -33358\/3. Let l = 1415 + a. Calculate the common denominator of (-116)\/20*75\/10 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 42\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/218 (b) 5 (c) 0.14 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-5 - -4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**3\/3 + j**2\/2 + j - 1. Let v(t) = 8*t**2 + 7*t + 6. Calculate 5*b(w) - v(w).\nAnswer: -3*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 4:43 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - -1 - (3 - 3)) + 331.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose h + 0*c + 4*c - 28 = w, 3*h + 3*c - 48 = 0. Let g(v) = -v**2 - 6*v + 1. Calculate the remainder when h is divided by g(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -1 - 0\/(-1). Let c(s) = 3*s**3 - s**2 + 1. Suppose -q + 2 = q. Let w be c(q). Are u and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:01 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*r + 6 = 0, 3*g - 7*r = -2*r + 9. Let o = -4 - -7. Suppose -o*m = 0, 10 = -h + 6*h - g*m. Solve h*l - 3 + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -18. Suppose 5*c - 5*r = -r + 248, -4*c + 3*r = -198. What is the highest common factor of c and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b1 (base 14) in base 15?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*z = 611 - 656, 2*m + z + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-39)\/33 - -1) + 200\/11. Calculate the greatest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*r = 3. Let f(b) = -2*b - 1. Suppose 2*a = 5*x - 45, -2*x + 7*a + 39 = 2*a. Let i(z) = -3 + 18 - 6 + 5*z - x. Give r*i(g) + 8*f(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 2:31 PM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwwqwzwzzz. What is prob of picking 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -1\/3 (c) 1\/33 (d) -3 (e) -0.3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19951395067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174892311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178969347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-12)\/(-3) - -4. Does 5 divide ((-18)\/n)\/1*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, j: 4}. Give prob of picking 3 j and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - l - m - 35, l = 4*m + 28. Let o = -9 + l. Let z be (-10)\/4*12\/(-15). Solve 5*p + z = o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 2*s - 1. Let l be m(0). Let v(z) = -4*z + 177. Let a be v(43). What is the fourth smallest value in l, 3, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(4 + -3) + -1 - -7. Suppose -n*a + 2*x = -14, -5 = 5*a - 3*a + 3*x. Solve a*g + 3*k = 6 + 9, 0 = 5*g + 4*k - 27 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 11\/5, -0.2508, 4\/3, -4?\nAnswer: -0.2508","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/14 and -103\/486.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 3*z - 2*u, -4*z + 10 = 2*u. Suppose 5*v + z*k - 49 = 0, -6 = 3*v - 4*k - 51. Calculate the greatest common factor of v and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 43. Solve z - v*a = -16, 3*a = 4*z - 4 + 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22*d + 36000 = 0. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a1b7 - -130?\nAnswer: 3a327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 4) + (-31)\/(-1). Let g(r) = 12*r + 125. Let y be g(-11). Let z be 0 + 27 - (0 - y). Calculate the highest common divisor of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -856, -875, -922, -1009, -1148, -1351?\n\"Answer: -2*a**3 - 2*a**2 + a - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 267846069*x**2 - 15019447 wrt x?\nAnswer: 535692138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvviiwvooocovoiov. What is prob of sequence owcc?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 760 - 1051 - 1125 = 0. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -790 less than or equal to -785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1277.5837 to 1 dp.\nAnswer: -1277.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + (108 - -12 - 145).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112222200 - -20102?\nAnswer: 2120020002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6369?\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(0*u + 5*u - 4*u) + 3*u + u + 3*u + 2*u + 0*u + 0*u + 2 - 2 - u.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/((-2)\/1)*(-1761)\/(-1174)*(-3)\/(-18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 731659 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -8. Suppose -2*h = f - 8, -4*f = -h - c*f + 5. Solve -h + 1 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7220 (base 11) to base 9\nAnswer: 14125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by 127?\nAnswer: -118\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1620)\/(405\/15))\/22.\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -26*u + 3. Let q(j) = 14*j - 16. Let l(s) be the first derivative of -s**2 + 2*s + 227. Let z(p) = -8*l(p) - q(p). Calculate f(z(i)).\nAnswer: -52*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 18335?\nAnswer: -13\/18335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.36 - 12.36. Let s = c - -14. What is the nearest to 1 in s, 5, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 7*m - 6. Let q be n(12). Suppose -5*u + 97 + q = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(1\/(-1)*-2). Determine z, given that -2 + g - 1 + 2*z**2 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 + 100*x + 181. Give d(51).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(252) + 1)**2.\nAnswer: -48*sqrt(7) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 + 3 - 3 + (1 - 1 - 2*a**2)*(-3*a - 2*a + 3*a) + 0*a**3 + a**3 - 2*a**3 + 3 - 2*a**3 + 1 + a**3.\nAnswer: 3*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.017 - -32.983. Let q = d + -32.99999916. What is q rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -15*j**2 - 6*j + 3. Let w(o) = 7*o**2 + 3*o - 1. Let h(p) = 4*m(p) + 9*w(p). Let i be h(-1). Suppose i*z = -4*z + 546. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -359846*c + 11874924. Determine d(33).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -4\/3*j**3 - 1\/4*j**4 + 7*j + 2*j**2 + 18. Give x(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2f1 (base 16) to base 15\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 7*n - 37. Let b = 31 - n. Let y be b\/(12\/14) + 4. What is the third smallest value in -4, -1\/9, y?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 + 2212*z**4 + 20336*z**3 - 58304*z**2 - 81280*z + 197824 = 0.\nAnswer: -11, -2, 2, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + -0.34. Suppose 8*t + 8*t = 32. Suppose t*m = 4*p + 2, -3*m - 2*m + 14 = -p. Which is the second smallest value? (a) 0 (b) m (c) -3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 849*q - 83426. What is p(270)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26 + 2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698744217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((71 - 61) + (22 - 0) - 6)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -34392 >= -34515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -210, -393, -566, -723, -858, -965, -1038, -1071?\n\"Answer: y**3 - y**2 - 187*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 6114*p + 2633272.\nAnswer: -(p - 6518)*(p + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1146?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 3194, 7171, 12736?\nAnswer: 19889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1172 and -0.272.\nAnswer: -1172.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/(14\/126)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p - 1780 = -2*x, -899 = -x + 2*p. Suppose -x = -4*q + 3107. Round q to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(12\/(-102))*-22. Calculate the highest common divisor of t and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -5*x - 4. Suppose -4*s + 6 = x*k, -2*k + 35 = -3*s + 1. Calculate the greatest common factor of k and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2) + (-36445)\/(-18230). Let b = 37385\/16407 + r. Calculate the common denominator of 45\/22 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 6*r - 1. Let j(f) be the first derivative of -15 + f**3 - f + 11\/2*f**2. Let y(m) = -3*j(m) + 5*q(m). Calculate y(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 3:33 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**4 + 40*w**3 - 208*w**2 + 224*w = 0 for w.\nAnswer: -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 398*w**5\/5 + 377*w**4\/6 - 1938*w. What is the third derivative of p(o) wrt o?\nAnswer: 9552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 40*d + 657. What is o(-17)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391386382?\nAnswer: 2, 79, 2477129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -199315.\nAnswer: 179383.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 212, 357, 518, 689, 864?\nAnswer: 1037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/9 - 1780292*y\/9 + 197810 = 0.\nAnswer: 1, 890145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + c. Let p be 4 + 3 + (3 - 3). Suppose 0 = p*s - 4*s + 3*a, -4*s = a - 3. Give b(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -14*g - 4*r + 38, -4*g + 5*r - 47 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3463716 or 6927431\/2?\nAnswer: 6927431\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-3) - -6) + 40\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34\/3 + -12. Which is the nearest to 0? (a) -0.3 (b) 5\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 9*z**2 - 11*z - 23. Give k(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z - 6. Let s be o(-3). Let c be s\/((-2)\/(4 + -2)). Suppose 5*b - 10 = -3*y - c*y, 8 = -y + 4*b. Solve y*n = 4*a - n + 21, 4*a + 36 = 4*n for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78067 divided by 18.\nAnswer: -78067\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + 1. Let l = h + 3. Let w = l - 1.619. Round w to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f - 38. Let r be i(-4). Suppose -4*a + r*a = 374. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -1524 (c) -0.7 (d) 0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 5*d + 16. What is the thousands digit of q(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -462672 divided by 648?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - ((2 - -2) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5*m - 17 = 6, -j + 5*m + 56 = 0. Let o be ((-24)\/30)\/(4\/(-10)). Solve 3 = -5*v - l, o*l = 3*v - 2*l + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l**5 - 868*l**4 - 200*l**3 + 868*l**2 + 216*l = 0 for l.\nAnswer: -54, -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -s + 113, -s + f + 117 = 4. Suppose -15 = n - 22. Suppose -n - s = -b. Is 20 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5207, -5171, -5145, -5135, -5147?\n\"Answer: -s**3 + s**2 + 40*s - 5247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*o - 2760 = 446*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15546314 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**5\/3 - 7618*q**4\/3 + 951296*q**3 + 12189696*q**2 = 0.\nAnswer: -62\/5, 0, 768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.9 + -8.4. Let m = 1 - 6. What is the third biggest value in -0.5, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 148 (b) -37 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 - 6*c + 4. Suppose -7*z + 8 = -5*z. Let k be n(z). Let q be k\/(-20) + 2249994\/(-10). Round q to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -21*s - 125. Let f(r) = 0*r + 3 - 3*r + 2. Let l(z) = -1. Let k(d) = f(d) + 4*l(d). Let v(y) = 2*y - 1. What is s*v(q) - 4*k(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -23\/12403 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*x + 1814 - 1486 = 1191 + 3114 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 25*t + 452. Let z be c(-18). Solve -5*u + 4 = -r - 2*u, -2 = -z*u for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/17392550 and -2\/347851.\nAnswer: 17392550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/(2 - 3). Let n be 29\/b*(1 - -1). Let r = n - -86. Calculate the remainder when r is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88, -87, -86, -85, -84?\n\"Answer: l - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 15) in base 16?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 + 19.4. Let p = 1229\/4 + -308. What is the biggest value in 12, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:52 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + n + 48. Let s be o(0). Suppose 27*d = 58 + 104. What is the greatest common factor of s and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*i + 4*i - i**3 - 3*i**2 + 10*i**2 + i**2 to the form m*i**3 + g*i**2 + o*i + k and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18655\/1884 - -7\/471. Suppose -26817 = -4*b - o, -b - 3*o + 13421 = b. Let c = b - 147417\/22. Find the common denominator of c and w.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 9*h**2 + 7*h - 3. Let a be (36\/(-15))\/(3\/10). Let j be m(a). Is j equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1896*m**4 + 6990*m**3 + 599482057*m?\nAnswer: 22752*m**2 + 41940*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2 (c) 1\/5 (d) -4\/25 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 1}. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 0.2. What is the second smallest value in -19, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaanaannnnaaannanna. Give prob of picking 2 n and 2 a.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43633 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-5))\/((-105)\/(-350)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 116 - 136)*(-2 + 1 - 1)*(-3 + 3 + 3*s + (0 + 0 - 2)*(2 - 2 - 4*s) - 4*s + 0*s + 0*s).\nAnswer: 3668*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l + 12*l + 18*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1411*p. Let n(j) = 2*j. Determine t(n(g)).\nAnswer: -2822*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f**2 - 61*f - 32. Calculate g(-13).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2)\/8 - (-397)\/1. Suppose 55 + y = 4*x. What is the second derivative of x - 113 - 13*c - c**4 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0*s - 1 - 3*s)*(-2*s + 4*s + 7*s) in the form y + x*s**2 + l*s and give x.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.5670252 tonnes?\nAnswer: 567025200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328999926?\nAnswer: 2, 3, 3011, 18211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -38. Let q = g - -38. Suppose 51 = 7*s + q. Calculate the remainder when 18 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i - 39. Let s be w(5). Suppose -1 = 4*a + 15, 0 = -3*r - 5*a - 71. Let p = s - r. Let t(m) = -m**2 - m + 3. What is t(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154645002 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmfwgf. What is prob of sequence fgwf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q**(25\/2))\/(((q\/((q*q**(-3))\/q))\/q)\/q)**(-3\/2) assuming q is positive.\nAnswer: q**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 22 - 13 - 7*s**2 - 8. Give q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1944105133 to the nearest integer?\nAnswer: 44092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o**(-6)\/o)\/(((o\/(o\/o**(-2\/5)))\/o)\/o*((o\/o**(-4\/5))\/o)\/o*o)*(o**(-1\/3)\/(o*o\/(o\/(o*((o*o*o*o*o*o**(-2))\/o)\/o))))**(11\/5) assuming o is positive.\nAnswer: o**(-176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 1. Let d(r) = 3*r - 2. Let i(p) = 7*d(p) + 6*x(p). Let z be ((-45)\/(-10))\/(6\/8). What is the lowest common multiple of 11 and i(z)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 = 0, -14*a + 42 = 41*s - 37*s - 9*a for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68403055 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b7 + -14c11?\nAnswer: -14cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0 - 5. Let m(f) = f**2 + 3*f + 4. Let p be m(-3). Let l be 3*p\/(-204)*2. What is the smallest value in -1\/4, l, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 71. Determine v(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -5, 1\/13, 16?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(10)*4 + 1*sqrt(810))\/((sqrt(5) - sqrt(15)\/sqrt(3)*-6) + sqrt(960)\/sqrt(12)) + 5.\nAnswer: 17*sqrt(2)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2579.\nAnswer: 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 496, 1070, 1626, 2158, 2660?\n\"Answer: -t**3 - 3*t**2 + 590*t - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82045 divided by -16409?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1005? (a) 5 (b) -0.1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24276 - 1?\nAnswer: -24277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -1. Let m(h) = -h**2 - 5*h - 3. Let f be -5 - (2 + -2 - 2). Let i be m(f). Put i, 0.2, a, -1\/3 in ascending order.\nAnswer: -1\/3, 0.2, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -316 - 149. Let w = 465.4 + q. What is the nearest to 0 in 3\/5, w, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2753.16 to the nearest 10.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d - 17. Let a be h(7). Solve -3*m + 5*r = 13, 5*r - a*r = -4*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1004100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210250544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -43444 (base 8) in base 13?\nAnswer: -839c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -31452232.74 to the nearest 1000.\nAnswer: -31452000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**5\/210 + 8*o**4\/21 + 11*o**3\/7 - 4*o**2 + 1. Factor j(u).\nAnswer: -2*(u - 33)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (1*sqrt(250) + sqrt(250) + sqrt(250))\/sqrt(5))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 282 = 2*t. Let m be 2\/(-8) - (7 + 5616\/64). Which is bigger: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*s**6 + 2*s**5 - 414538*s**3 + 42400041*s**2 - 2*s wrt s.\nAnswer: 2640*s**3 + 120*s**2 - 2487228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328084780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474190 rounded to the nearest 100000?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2. Let l(r) = -r. Determine -l(b) - z(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 12.51389.\nAnswer: -287.81947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by 2514.\nAnswer: 47\/2514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c**2 - 5*c + 9. Suppose -4*y - y - 30 = 0. What is the units digit of g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - a - 892 = 0, 4*d + 2*a - 487 - 405 = 0. Is d a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0*l**2 - 4*l - 31\/6*l**4 - 3 - 5*l**3. What is the second derivative of o(w) wrt w?\nAnswer: -124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 - 11*y. Let c = 14 - 23. What is the remainder when 52 is divided by d(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 9. What is the greatest common divisor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.6 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 375*q**2 + 9*q + 8. Let k be j(-1). What is the highest common factor of 44 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2687\/3 - -887. Let w = -19303 + 135176\/7. Find the common denominator of a and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*q = -391*q - 25 + 105. Solve -q*y + 1733 = 1709 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 265, 5, 4, -4\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1659 at least as big as -1658?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 15, -2*t = -b + 2*t + 358. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*d = -181*d - 5*n - 309, -179 = -d - n. What is the remainder when 1197 is divided by d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -44 (b) 1 (c) 33 (d) -207\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 2045, 3064, 4081, 5096, 6109, 7120?\nAnswer: 8129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12672 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*m = 2, -5*v + 4*m = 15 - 43. Let l(t) = t**3 + 2*t**2 + t + 2. Let h be l(-2). Solve h = g + g + v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (8 - (-2 + 1))) + (2 - (-10 + -59))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-21)\/2646*14\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*z - 47*z - 10. Suppose -8 = -z*r - 0. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 349*s - 12 - 177*s - 171*s. Determine c(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 16*p - m - 2, 3*m + 6 = -4*p. Solve 5*l + 27 - 52 = p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 4. What is the remainder when p is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -30 + (-3996)\/(-74)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0*q - 10*q**2 + 1\/112*q**8 + 13\/40*q**6 + 3 - 3\/5*q**5 + 1\/2*q**4 + 0*q**3 - 3\/35*q**7. Factor k(i).\nAnswer: 3*i*(i - 2)**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2679, -5150, -7425, -9504, -11387?\nAnswer: -13074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5349180?\nAnswer: 2, 3, 5, 89153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61c99 (base 14) to base 13\nAnswer: 833ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1179.82 rounded to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 3*x**2 + 19*x - 71. Give w(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5884, 0.4, 1.55, 0?\nAnswer: 5884","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009.03 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*m = 7, -401*m + 402*m + 2 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t + 1. Let q(g) = 5*g**3 + 5*g**2 + 4*g + 1. Let u(m) = q(m) - 4*x(m). Calculate u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 a when four letters picked without replacement from {a: 3, d: 17}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2146581987.\nAnswer: 3, 11, 101, 58549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1 + 0*f - 12*f - 5.\nAnswer: -12*f + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 43, -5.\nAnswer: -5, 1, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*c + 2382 + 1622 = -20*c for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/12 - 239*o**2\/8 - 237*o\/2 - 6224. Determine g, given that j(g) = 0.\nAnswer: -237, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/4 (b) 12394\/63 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*d - 5, 0 = 6*t - 5*t + 5. Let r(g) be the third derivative of d + 0*g + 1\/24*g**4 + 4*g**2 + 2\/3*g**3. Determine r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/(-6)*2*3. Suppose -2*m = -i + 35. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 9758287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 31, 49, 65, 79, 91, 101, 109?\n\"Answer: -f**2 + 21*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 31578*g**2 - 1245*g - 97. Let p(d) = -5263*d**2 + 207*d + 16. Let o(f) = -2*m(f) - 13*p(f). What is the second derivative of o(z) wrt z?\nAnswer: 10526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 6*r**2 + 3*r + 6. Let f be t(-6). Let h be f\/2*4\/12. What is the nearest to -2\/5 in 1, h, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.2228 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 4267.\nAnswer: 4266.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208 - -328. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18433*-10.\nAnswer: 184330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.1, -15.3 in descending order.\nAnswer: 2, 0.1, -15.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -24438447 at most as big as -24438451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 + -0.6. Let c = 0.2 + -0.24. Let y = h + c. Round y to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**2 - 7. Let g(j) be the third derivative of 19*j**2 + 0*j**4 + 0 + 7\/60*j**5 + 5\/6*j**3 + 0*j. What is 7*g(q) + 5*v(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 455\/(-40)) + -10. What is the closest to 1 in -4, l, -19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 13*o + 482. Determine x(-37).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0332617 - -2.\nAnswer: 1.9667383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -172*c**2. Let t(j) = 13*j. What is x(t(d))?\nAnswer: -29068*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14854\/24765 + -1\/4953. What is the nearest to -0.1 in -63, 0.1, 1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6200 and 32860?\nAnswer: 328600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4.96 (c) 0 (d) -4 (e) 8.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325 a factor of 9774525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 10. Let x(f) = 4*f + 6. Let i(k) = -3*t(k) - 4*x(k). What is i(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*(2\/9 - (-56)\/720*-5). Which is the nearest to -7? (a) -2 (b) -0.2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*j + j + 2*m, 2*j + 3*m = 18. Suppose -5*y + 3 = -j, 0 = -2*x + 4*y + 752. Round x to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 3022?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Suppose 1 - 25 = -3*y. Let c(u) = -20*u + y*u + 10*u. What is r(c(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 - 0.491. Let h = 0.001 + n. Which is bigger: h or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u**4 - 51\/5*u**5 + 0*u**2 + 25 + 0*u**3 - 17*u. Find the first derivative of d(p) wrt p.\nAnswer: -204*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 214.7, -5 in ascending order.\nAnswer: -5, -1, 214.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 269461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 2*v - 68, 5*v + 30 = -5*u + 200. Let w(k) = 2*k**2 + 6*k - 7. What is the remainder when w(5) is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1*39\/39?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Suppose u*m - 48 - 37 = 0. Suppose m*p = 16*p + 8. What is the greatest common factor of 16 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -249*q - 10709. Give k(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)\/d)**(-8)\/(d**(5\/2)*d\/(d*d*d*d\/((d\/(d\/(d\/(d*(d**(-5)\/d)\/d))))\/d*d)*d))*(d**(1\/3))**(-4\/19)\/(d**(-1\/6)\/(d*d**2)) assuming d is positive.\nAnswer: d**(3145\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 102220381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b - 3. Let n be 96\/12 - (2 + 2). Suppose -2*a = -x + 15, n*x = 2*x + a + 18. Calculate s(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 83. Let m(d) be the second derivative of d**4\/12 - d + 216. Give m(g(h)).\nAnswer: h**2 + 166*h + 6889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(663\/91)*3\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 7191.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -249 and -7.1.\nAnswer: 1767.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7016.692 kilograms to milligrams.\nAnswer: 7016692000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1834042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5595838 minus -136?\nAnswer: -5595702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 247 - -2?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 121. Suppose -b + 22 = -5*y, -s = 3*b - b + 3*y. Solve 3 = p - 2*r, r - 6 = -4*p + b*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4974, -4976, -4978, -4980, -4982, -4984?\n\"Answer: -2*b - 4972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32325650 = 1869*w - 1774*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*z + 248 = -828, 2*z - 1058 = -5*a. What is the remainder when a is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + -7 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2760, 2780, 2814, 2862, 2924, 3000?\nAnswer: 3090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 3*j + 5 = 0, -5*j = -3*w + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 13.09. Let a = -696.220003 - -696.13. Let t = n - a. Round t to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 3*d + 4. Suppose 119*w = 116*w - 9. Let s be o(w). Put 2, s, 0, -3 in decreasing order.\nAnswer: 2, 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -51261*h - 2306723. Give k(-45).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*k - 1261 = 971 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -144135 (base 6) in base 3?\nAnswer: -201001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c21 (base 15) to base 13\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2106668\nAnswer: 5\/2106668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5200080 divided by -5.\nAnswer: -1040016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 6:47 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 36 - 4. Suppose -a - a = -m. Let i = -3 + a. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -65. Let k = -0.25 - -0.05. What is the nearest to z in 4\/7, -5, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/17100 and 149\/66.\nAnswer: 188100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11206.881 rounded to the nearest ten?\nAnswer: -11210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14212103 (base 6) to base 2.\nAnswer: -1110110001000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((8 - (17 + -7)) + -8 - (12 + -1)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1255 divide 744459017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12)*-2 - (-2073)\/9. Find the second derivative of -u - s + 2*s + 46*s**2 + 196 wrt s.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36*3\/(-1)*(-84)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/3)\/(4\/36). What is the lowest common multiple of 8 and ((-32)\/(-24))\/((-1)\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8516.849 centimeters to micrometers.\nAnswer: 85168490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -3717996?\nAnswer: -3717996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - n.\nAnswer: n*(2*n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**3 - 111*d**2 - 4*d - 15. Let l be t(7). Solve 2*w + 4 = -2*z - 2*w, 3*z = -5*w - l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1840? (a) -2\/29 (b) -0.4 (c) -3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1320473615 + 5?\nAnswer: -1320473610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 + 0*l**3 + l**4)*(-2*l - 2 + 2) + 1 - l**4 + 11176*l**2 - 11175*l**2 - 2*l**5 + 0*l**4.\nAnswer: -4*l**5 - l**4 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -9 - 3. Let k(v) = -2*v**2 + v**2 + 37*v - 34*v + 2. Determine k(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t - 3. Let h(u) = -3*u - 2. Let p(s) = 3*h(s) - 2*x(s). Let i(j) = -5*j**2. Give p(i(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45066320 - -1?\nAnswer: -45066316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-2*(-595)\/5. Let w = -450 + 464. What is the greatest common divisor of w and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (632\/(-624) + 1)\/(2\/(-20)*1). Let r(i) be the second derivative of -13*i - m*i**3 + 4\/13*i**2 + 0 + 1\/78*i**4. Let r(a) = 0. Calculate a.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - (-95 + 12) - 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3191.4 - -36.013?\nAnswer: -3155.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188*l**3*x**3 - l**2 - 23*x**3 wrt l?\nAnswer: -1128*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:09 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*k = -10 + 4, -19 = -5*g - 2*k. Suppose 3 = g*d - 3, -3*d - 70 = -4*s. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*k**2 + (-3 + 4 + 0)*(-5*k**2 + 0*k**2 + 3*k**2) + k**2 + 0*k**2 - 2*k**2 - 7*k**2 + 2*k - 2*k + 18 - k**2 - 18.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 14354*t + 36 + 14354*t - 6*t**2 to the form a + b*t**2 + y*t and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 2*f - 1. Let c be x(1). Solve c = 4*s + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112021223 + 100?\nAnswer: -2112021123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-4 + -1 + (8 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/c**5)*c*c)\/(c*c**(-4)*c*c))\/((c**(1\/2)\/c)\/c*c\/(c**(-1\/7)*c)))\/(c**(2\/15)\/c**6*c*(c*c*c**1)\/c*c**(-2\/19)) assuming c is positive.\nAnswer: c**(49193\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 68*y**3 - 4*y**2 + 2*y. Let w be g(2). Let f(j) = -j**3 + 32*j**2 - 229*j - 10. Let k be f(19). Suppose 4*v - k = w. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**4 + w**3 + 5*w**2\/2 - 5*w - 327. Find the second derivative of z(d) wrt d.\nAnswer: 48*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-255)\/(-102))\/((-25)\/(-59220)) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1134*o + 1128*o - 6664*o + 1122*o + 1127*o + 1048*o + 1120*o.\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 462*s**3 + 12*s**2 - 8*s - 1. Is r(3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123870787 is divided by 9642?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1030587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-six fifths of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/15 - 148*d**4\/3 - 30744*d**3\/5 - 3988912*d**2\/15 - 14526784*d\/15 = 0.\nAnswer: -122, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0197637 + -6.6.\nAnswer: -6.5802363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 2, x: 2}. Give prob of picking 1 x and 1 t.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18857173 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 0*m + 37*m**2 - 1 + 0*m**3 - 20\/3*m**4. Let o(k) = -2*k. Give r(o(u)).\nAnswer: 320*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1679, 3007, 4313, 5597, 6859, 8099?\n\"Answer: -11*q**2 + 1361*q + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/10 + 5*t**4\/2 + 7*t**3\/2 + 3*t**2\/2 - 2*t + 3. Find the second derivative of y(h) wrt h.\nAnswer: 12*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45 - (5 + -31 + 3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*d + 4. Let j = -15 - -20. Suppose 5*s - j = -5*v, 5*v - 4*s - 11 = 3. Solve v + d = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2150\/129)\/((-4300)\/(-35604))?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 52 - 2*c - 33.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148879473 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 645 and 14620.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185543943 divided by -1131.\nAnswer: -164053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22202303120 - 10?\nAnswer: -22202303130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 - (29998 - 0). Let d be ((-12)\/3)\/(23\/((-253)\/44)). Let u be (542*(-1)\/(-6))\/(d\/q). Round u to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = -9 + 49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -6.09?\nAnswer: -3.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*o + 143*w - 147*w, -5 = -w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 13) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/110*4*(35\/322)\/(-1)?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3307171231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1.636.\nAnswer: -0.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyyyeeeyeeyy. What is prob of sequence yy?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**2\/10 - 868*t\/5 + 376712\/5 = 0.\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2037 is divided by 493.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 44053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9*(-5 - (3 + 115\/(-15))). Suppose 3*k + 3*p = 60, 2*p + 107 = 4*k - m*p. Solve -3*u + 0*u = 2*d + k, d - 1 = u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345122*v**2 + 1402*v - 2039*v - 2729*v + 345123*v**2 + 3365 = 0.\nAnswer: 1, 3365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n - 1153. Let f(j) = 44*j + 2. Calculate f(i(c)).\nAnswer: -396*c - 50730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 12) to base 11.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 1212 = -1068. Let v(c) = -c**2 - 22*c - 114. What is v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 7:17 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3387483 and 1745067?\nAnswer: 57587211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5\/3 - 4336*m**4\/3 + 8*m**3 + 26048*m**2\/3 + 34700*m\/3 + 4336 = 0.\nAnswer: -1084, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -232\/3 and -76 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -91892 (base 13) to base 10\nAnswer: -260717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18555344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - -72. Let t = k - 118. What is the remainder when 502 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -49, -71?\n\"Answer: -22*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(3\/8)*g*g))**(30\/7)\/(g\/(g\/g**7))**(-37) assuming g is positive.\nAnswer: g**(7087\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -34.7. Which is the second smallest value? (a) 0.4 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7298 and 29\/369?\nAnswer: 65682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1005 - 1016) + (0 + -2 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65805?\nAnswer: 3, 5, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 17*u + 37. Let g(t) = -84*t - 13. Let v be g(0). What is c(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.5 - 47.5. Let f = 107 + x. Let j = 66.0146 - f. Round j to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1060407 and 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqrqqqqqqqqrqqq. Give prob of picking 3 q and 1 r.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -4*i, 0 = -i - 0*l - 2*l - 14. Let s = i + 8. Suppose -5*f + s*m = m, 0 = 4*f + 5*m. Solve c + f = -5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 29. Suppose -24*w = -3*m - 21*w + 6, 2*w + 4 = -2*m. Calculate k(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 1, 1103, 3.\nAnswer: -3\/7, 1, 3, 1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2. Let h be 14\/10 - 12\/(-20). Let t(p) = -4 - h*p + 4. Give b(t(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/13 - 2*o**3 + 58*o**2\/13 + 2*o - 60\/13 = 0. Calculate o.\nAnswer: -1, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c**2 - 359*c + 590. Give y(0).\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3517?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39371119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1459954830.\nAnswer: 2, 3, 5, 29, 619, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = -2*l, 353*l - 354*l = -3*i + 12. Let y be (5\/(-3))\/(6\/9). Let v = -2.04 + 0.04. Which is the closest to 2\/3? (a) i (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 3*r**4\/8 - 9*r**2. Let o(f) = f. Calculate n(o(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 215 = 3*s, -r - 2358 = -2312 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 432 = 38*x. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 h when four letters picked without replacement from {u: 3, h: 5, e: 8}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3 - 1. Let a = 4 - g. Calculate the least common multiple of a and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-255)*3858\/(-3215)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 664 - -101. Suppose 620 = 5*m - c, 5*m + 3*c - s = -125. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -7) + 2 + -1 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 13. Let d be i(-10). Suppose -4*c + d*w - 10 = -3*c, -5*w + 18 = -3*c. Which is smaller: c or -33\/17?\nAnswer: -33\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-6))\/13*(-4)\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6018 + 6878. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 112. Let j = 137 - k. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 + 18*r**2 - 5*r - 20. Let f be u(-9). Suppose -4*q = -0*q + 5*o - 40, -28 = -4*q - 2*o. What is the highest common divisor of f and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 smaller than -369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-153 + 25*u + 153)*(11 + 5 + 3 + 1) as o*u + v and give o.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 23435660 = 6235660. What is a rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from kbvakkvvckb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(36) - (sqrt(36) + -1*sqrt(36)) - sqrt(72)\/(-2*sqrt(8)))\/(1*sqrt(192) + sqrt(192) + sqrt(192) + sqrt(192) - (sqrt(120)\/sqrt(4))\/sqrt(10)) + -4.\nAnswer: -4 + 25*sqrt(3)\/62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/225)\/(1\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 101*i + 55*i - 20904. Calculate the remainder when 498 is divided by i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m - 1. Let v be n(4). Let u(y) = 6*y. Determine u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 4:38 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1908468942?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 18*u + 5514 - 4396. Calculate the remainder when u is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 4050630463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 1. Let k be i(-1). Let g(f) = f - 4. Let t be g(3). Let j(p) = -p. Let n(z) = -7*z + 1. Let w(s) = t*n(s) + 2*j(s). Calculate w(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 + -85 + (-11 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1814 - 1815) + (-1 + 1 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1615 - 624. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 3)\/(6\/(-3)). What is the highest common divisor of 99 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209752249 and 138.\nAnswer: 1258513494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o. What is p(-8)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + c + 15 - 5. Let a be z(-8). Let s = -10 + a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-25)\/28 + (-4)\/16. Let a = -0.3959 + -4.6041. Let o(w) = -w**2 - 2*w + 2. Let r be o(-3). Sort z, r, a in decreasing order.\nAnswer: r, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 13, 0.11, 0.1, 0.364?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -173ab98 + -27?\nAnswer: -173b003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(2\/16*-2). Suppose -20 = -2*c + 2*p, 5*c + 5*p - 41 = 3*c. Is (c - -4) + f + 2 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.922 + 0.078. Which is the closest to v? (a) -3\/2 (b) 3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.76412 + -0.0778. What is y rounded to 2 decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6911*a**2 + 13664*a.\nAnswer: 13822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -102. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 10:15 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -22.1. Round x to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (-5 - (-8 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjj when three letters picked without replacement from {q: 4, j: 13, p: 3}?\nAnswer: 26\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -101 + 0?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169564, -170037, -170524, -171031, -171564?\nAnswer: -172129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**2\/7 - 6556*q\/7 + 1992248\/7 = 0. Calculate q.\nAnswer: -1901, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -5, 7, -2108817 in descending order.\nAnswer: 7, 0, -5, -6, -2108817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -95 in 0.2, -1\/3, -0.04, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -38. Solve -h - 5 = -k*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*-4*((sqrt(153) - (sqrt(153) + 0)) + -5 + 4)*-2*-5.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 37*z + 613. What are the prime factors of h(0)?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 9 = 0, -b = -4*d - 4 + 2. What is the greatest common factor of 112 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*b + 6787 + 10308 - 7045 = -22012 for b.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 736*w = 5*g + 733*w + 25, -4*g + 22 = 6*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.3. Let i = 0.0892 - -0.0108. What is the nearest to i in -2\/5, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n - 3*n + (-2*n + n + 0*n)*((1 + 3 - 3)*(-1 + 0 + 0) - 4 + 1 + 7).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 4*b - 12*p - 199, 2*b + 3*p = 107. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o - 20 = 0. Let f be (-19)\/(798\/(-12)) - (-26)\/7. Let d be 6\/f - 2\/o. Solve -d*w - w = u, -3*u - w = -8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k + 2. Let n(s) = -s**2 + 12*s - 12. Let w be n(10). Let q be o(w). What is the highest common divisor of q and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -15. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 433, 1112, 1887, 2806, 3917, 5268, 6907?\n\"Answer: 8*p**3 + 623*p - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91.99883 + -92. Round u to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 45*v - 50*v = -25, 20 = d + 4*v. Put 1, 25, d in decreasing order.\nAnswer: 25, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068 is divided by 177.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -1747 + 6791. Which is smaller: -382 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from jeewqjekqjjjkjdkj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a + 3*y + 15 = 0, 0 = -a - y. Let k(z) = -2 - 9*z + z + a*z - z**2. Suppose -10*g = -9*g + 3. Give k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -476*g**2 + 5173*g + 569. Differentiate o(p) wrt p.\nAnswer: -952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 f when three letters picked without replacement from {e: 2, i: 1, n: 2, f: 7}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nannnnnnnnnaannnannn. Give prob of picking 1 a and 3 n.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 134*n - 642. Calculate a(49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 66346 at least as big as -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83370 and 40410630.\nAnswer: 282874410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566218 divided by -1.\nAnswer: -1566218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 2*o - 2. Let l be i(2). Suppose 2 = m + u, -2*u + 6 = l. Solve m = -3*q - 3*b - 6, 16 = q - 2*b - 3*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -547 + 802. Suppose -2*v + 227 = -f. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*s - 248. Let p be 2\/(-8) - s\/(-20). Solve -3*r = 10 + p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 3 + -312*(-20)\/390.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1. Let t(p) = p. Let j = -746 - -740. Determine j*g(v) - t(v).\nAnswer: -v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/6 - 991*p. Let b(a) = -52*a. Calculate b(l(d)).\nAnswer: 104*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/23 (b) -2\/11 (c) 2\/7 (d) -1 (e) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-748)\/(-99))\/17)\/(114\/27).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -24 + 3*t + 24. Let x(s) = -5*s. What is p(x(n))?\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 0.07. Let k = w + -0.08. Let z = 25\/14 + -2\/7. Which is the nearest to k? (a) 0.5 (b) z (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2129651559604 and -4.\nAnswer: -2129651559608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 14*h**2 - 433*h + 66. What is the remainder when t(-29) is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 144.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104 - -1249\/12. Let l be 2\/13 + 20\/(-130). Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -3.42, -0.5?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 5 = 5*y + 3*c, 3*y - c = 10. Solve -2*w + y*w + 3 = -2*o, 4*w - 5*o = -27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*i - 200, -5*i + 88 = -3*i - 5*h. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2)*(2 - 3 + 2) - 3 - 4 + 2)*((3*p**2 - 3*p**2 + p**2)*(4*p - 3*p**3 - 4*p) + 7*p**3 + 0*p**3 - 8*p**5 - 5*p**3).\nAnswer: 33*p**5 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652386 is divided by 217424.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:24 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 14\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -20, 0*n = -3*n - 4*y + 29. Solve 5*o = -n - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1237833 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -125*j. Suppose -7*u + 5*m = -12*u - 35, -8 = -4*u + 5*m. Let l(g) = -3*g. Let i(s) = 2*s. Let q(x) = u*l(x) - 4*i(x). Determine p(q(o)).\nAnswer: -125*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17049157 - 24544763. Let b = 7495605.30000044 + a. Let i = b + 0.7. Round i to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*v = 376*v + 54 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 13*o - 116. Let s = o + -56. Let g(v) = -v**2 + 3*v + 1. What is g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 12 - 12)*(-3*n - 1 + 0*n - n)*(2*n - 5*n + n)*(3 + 9 - 5).\nAnswer: 504*n**2 + 126*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9844 and 1712.\nAnswer: 39376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Suppose 3*y = z + 95, -4*z - 33 = -y - v*z. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (45\/27)\/((-2)\/(-6)). Suppose 0 = -4*f + 3*l - 4*l + 9, -c*f + 4*l = -27. Suppose f*x = 6*x - 615. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -3*b + 3*d, -2*b - 2*d + 93 = -45. Calculate the remainder when b is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/20)*x\/(x\/(x**(1\/6)*x)))\/(x**(-15)*x**(1\/42)))**(2\/61) assuming x is positive.\nAnswer: x**(2239\/4270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Suppose b*d - 4 = 2. Suppose -s - 34 = -5*f + d*s, 4*f = s + 23. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-18))\/(7*13\/273)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = 20*u - 39*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4*w - 3 + w)*(-1 + 2 - 2)*(468*w**2 - 240*w**2 + 429*w**3 - 230*w**2) as f*w**4 + m*w**3 + x*w**2 + p*w + r and give f.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 677.5 and 0.0266.\nAnswer: 18.0215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 f when three letters picked without replacement from yfbffffvbkfyyfffk.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 9, h: 6}. What is prob of picking 2 m?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - (21 + -5 - (17 - (-18 + 33))).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13122*5\nAnswer: 65610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 28*s + 2080. Calculate the least common multiple of 12 and q(0).\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 14 + 3 - 10 = 16*j, -5*j - 19*y - 10 = -14*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35302 (base 6) to base 2.\nAnswer: 1001111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v - v - 2*v)*(2 + 0 - 5) + 4*v + 7*v - 5*v)*(4 - 3 - 2) + (v + 4*v - 3*v)*(0 + 3 - 4) - 2*v - 2*v + 5*v + v - v + v + (0 + 4 - 2)*(-1 + 1 - 2*v).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ab97 - 4?\nAnswer: -1ab9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2852795 to the power of 1\/2, to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, -3, -1518 in increasing order.\nAnswer: -1518, -3, -1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112 + -111 - 2\/4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -983*h**2*w + 2*h**2*z + 142*h**2 + 4*h*w*z + 3*h*z + 2*w*z - 4*z wrt w?\nAnswer: -983*h**2 + 4*h*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9 - 2\/9*x**3 - 10\/9*x + 8\/9*x**2.\nAnswer: -2*(x - 2)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 1\/42, 0.3, 7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 7. Suppose -39 = p*s - 180. Suppose -t + s = 2*c, -5*t - 4 = -t. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 35 + 11*v - 41*v + 17*v.\nAnswer: v + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989324 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10957 + -54783\/5. Solve f + 4\/5*w + 2\/5*w**2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 73*m + 68*m + 134625, -5*o - 3*m = -224359. List the prime factors of o.\nAnswer: 2, 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-245)\/(-56)))\/((-18)\/15).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10891 + -10891.0005767. What is z rounded to 5 decimal places?\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 + 234. Let h = 16\/3 + -182\/33. Which is the smallest value? (a) s (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1773200249 to the nearest integer?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5547 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35343 (base 10) to base 8.\nAnswer: -105017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 4. Let o(a) = a**2 - 6*a - 8. Let p be o(8). Let i be d(p). What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/56 and -9 - (-6)\/96*166.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*k**2 - 97*k**2 - 74*k**2 - 70*k**2.\nAnswer: -51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-50)\/16*(-238)\/255 and -83\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2917, 5837, 8759, 11683, 14609?\nAnswer: 17537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 52\/19, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.10009*13.\nAnswer: -14.30117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/5*(-3 - 5). Let w = -1 - -1. Which is the fourth smallest value? (a) w (b) 2\/5 (c) t (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooommoomrg. Give prob of picking 1 o and 1 g.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -69*m + 73950. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 114 = 3*y - 7*w, 3*y = w + 114. Let t = -17 + y. Let j(a) = 47 - a**3 + 4*a - 22 - t + a**2. What is j(4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/12)\/(8\/12). Let b(w) be the first derivative of -h*w**2 + 0*w - 2. Let v(o) = 2*o**2. Calculate b(v(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-2)*26 + -2. Suppose 51 + b = 4*t + 2*y, 0 = -4*t + 4*y + 44. Calculate the remainder when 40 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**5\/8 - 31541*i**4\/4 + 126159*i**3\/4 - 47309*i**2 + 252313*i\/8 - 31539\/4.\nAnswer: (i - 63078)*(i - 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3\/(-3) + 20 + -2. Calculate the highest common divisor of y and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 40 = 2*o, 0 = 2*i - 3*o + 23 + 12. Let s(b) = b - 2. Let h(z) = 3*z - 4. Let a(f) = i*s(f) + 5*h(f). Let t(w) = 10*w. Calculate a(t(j)).\nAnswer: 50*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 473 = 9*x + 464 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 4*b**2 + 4*b + 1. Let r be q(-4). Let j = r + 48. 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: Suppose -24*c + 35*c = 77. What is the remainder when c is divided by -10*1*(-2)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/((u\/(u\/(u\/u**(1\/8))))\/u)*u*u)\/u)\/u)\/u**(-2)*u**(-14)\/(u*u*u**(-18)))**11 assuming u is positive.\nAnswer: u**(539\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580389?\nAnswer: 3, 193463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31851657 is divided by 154.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -452034117 divided by -100923\nAnswer: 4479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5889, 24605, 55799, 99471, 155621?\n\"Answer: 6239*s**2 - s - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/321)\/((-38740)\/17880)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = -0*x, -5*n - 2*x + 109 = 0. Suppose 3*j - 4*j = -6. What is the remainder when n is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55994?\nAnswer: 2, 27997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 18411\/9619?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 10*r + 12. Let m(t) be the first derivative of 0*t**3 + 0*t**r - 19\/4*t**4 - 5 + 14*t. What is the first derivative of m(b) wrt b?\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 172673 = -3*t, -287795 = -8*t + 3*t - 5*l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3b46a (base 13) to base 5\nAnswer: 12014424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*b - b - 3*b)*(3*b - 2*b - 13*b) to the form g*b**2 + q + a*b and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 0.071586?\nAnswer: 0.071586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 - -155. Suppose -5*b - 5*l + 5 = 0, 28 = -b + 5*l + 5. Let u be 4 - (b\/2)\/(g\/(-2)). Which is greater: u or -0.059?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -13\/1013 (c) 1.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2124 and -179\/90.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a factor of 2734479189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 - 2*a**2)*(26 + 26 - 49 + a).\nAnswer: -5*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8973 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -13687302?\nAnswer: 13687316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14643 + -15139.3. Round b to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(343) + -4 - -1*sqrt(343)*2 - sqrt(343)*1*-4*3))**2.\nAnswer: 210*sqrt(7) + 77176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 21 + -24 - (1 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 53*g**5\/30 - g**2 - 130*g. Let y(x) = 48*x**2. Calculate y(p(z)).\nAnswer: 539328*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 11158269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 4 + 6. Sort -5, 10, f, -3.\nAnswer: -5, -3, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*p - 4*p. Let q be (-24)\/(-4) - (-3 + 1). Let u be (-12)\/q - (-1 + -1). What is the nearest to 1 in p, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 49*n**2 + 53*n**2 - 2*n. Let z(y) = -2*y + 2*y + y. Give z(f(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, m: 1, o: 4, w: 8}. What is prob of sequence cmwo?\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88.59 + -269.11. Let j = 358 + x. Put -3\/10, j, -3\/2, 1 in increasing order.\nAnswer: -3\/2, -3\/10, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -7\/8 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 21*j + 2*j**3 + 48*j**2 + 30 - 11*j**2. Let x be n(-18). Let t = x + -9. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*v**4 - 36*v**4 + 75*v**4 + (-v + v + v**2)*(v**2 + 0*v**2 + v**2) - 5*v**2 + v**4 + 5*v**2 as a*v + u*v**4 + z*v**2 + b + p*v**3 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*o + 5*s = 649*o - 5, 4*o + s + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.05 rounded to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/4)\/(15\/(-6300)*-35)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1193*k*s**2*x**3 - 40*k*s**2*x**2 - k*s*x**3 + 110*s**2*x**2 - 3*x**2 wrt x.\nAnswer: 7158*k*s**2 - 6*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 - 23421310?\nAnswer: -23421404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6503\/4 + 57911\/36. Let y = -13 + -3. Is i greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -y + 3, -y - 2 = -w - 5. Suppose -y*u - 36 = -4*v - 4*u, -4*v + 36 = 2*u. Let x(b) = 16*b**2 + 3 + v*b**2 - 3. Let f(z) = -z. What is f(x(a))?\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.529584 rounded to 3 dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/9)*i)\/i)\/((i*i**(-2)*i*i*i)\/i))**(2\/81)\/(i**(2\/5)\/i*i**2)**(-4) assuming i is positive.\nAnswer: i**(20432\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*y = 3, -4 = -5*d - 5*y + y. Suppose 4*k + 0*u - 45 = -u, 3*k - 4*u - 10 = d. Suppose -7 = -s - k. Sort -2, s, 2.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71.1 + 71.0476. Let x = h + -0.1176. What is the third biggest value in 0.03, x, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12320 and 1183490?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 + 20*k + 5. What is t(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -4*p**2 - 3*p + 77. Calculate f(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-5)\/(-4))*1\/(-30).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -3. Let y be (-2)\/(-7) + 60\/(-14). Let d = y - -5. Which is the closest to d? (a) 3\/4 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 6*b + 14*b. Suppose 0 = 5*g - 117 + 352. Let y = 46 + g. Sort b, 1, y, 4 in increasing order.\nAnswer: b, y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9012, 9077, 9244, 9561, 10076?\n\"Answer: 8*u**3 + 3*u**2 + 9001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8854399, 17708804, 26563205, 35417602, 44271995, 53126384, 61980769?\nAnswer: 70835150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3\/10069 (b) 0.1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 5. Let r be (-60)\/8*y\/12. Suppose 0 = f + g - 4, -2*g = 0. Solve 3*x - f = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 80 = 2*y, -11*y + 4 - 284 = -9*y + 4*z + 3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -23. Let m(j) = -1 + 20*j + 37*j**2 - 2 + 7 + 21*j**3 + 9*j. Let h(r) = 5*r**3 + 9*r**2 + 7*r + 1. Let y(t) = v*h(t) + 2*m(t). Factor y(b).\nAnswer: -(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -11 - 17 - 0 - (-4 + 32)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - 67*l + 269\/12*l**4 + 9\/2*l**5. What is the third derivative of r(c) wrt c?\nAnswer: 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/17 + 36*u**2\/17 - 338*u\/17 + 300\/17 = 0?\nAnswer: -25, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -668 + 682. Calculate the remainder when 264 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 972\/1008*25\/225*84\/4.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 61. Suppose -d = d - d. What is the tens digit of t(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/12*-5*-12*11120\/4448.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*k - 3*k - 3853, -4*k = 3*a - 2906. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 - 4*r**2 - 3*r - 3. Let q(t) = 2*t**3 + 5*t**2 + 4*t + 4. Give 4*k(y) + 3*q(y).\nAnswer: -6*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 26 + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 18*s - 73. Let z be u(11). Which is the nearest to 0? (a) 2 (b) z (c) -34 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + g = -45, -3*z + g + 34 = -g. Let k = -6 + 6. Let c be (k + -2)*-1 - (-6)\/1. Calculate the highest common divisor of c and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177897512 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 27*n**2 + n. Suppose 3*x = -g - 2, 0 = 3*g - g - 2. What is the units digit of m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153140 and 8866.\nAnswer: 1684540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 23 = 7. Let r = k - -11. Suppose 1 = r*g - 4*g, -3*b + 16 = -5*g. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:31 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 5:55 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1 = i - 0, 3*i = -3*g + 3. Let r = -9774 + 9770. Suppose -5*q + 3*f - 4*f + 5 = 0, 4*f + 5 = 5*q. Put r, 4, q, i in descending order.\nAnswer: 4, q, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 75 = 3*y, s + 3*y = -8 + 5. Suppose s*i - 42 = 42. What is the lowest common multiple of i and (-6 - -10)\/((-4)\/(-6))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 211*p**2 + 429*p**2 - 218*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 112*o**2 + 374*o - 6263. Determine f(-108).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, -120, -31 in descending order.\nAnswer: 2, -6, -31, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5712 and 6224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 + 6*p**2 - 3*p**3 - 4 - p**3 + 3*p**3. What is d(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38104 divided by 4\nAnswer: -9526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78326515.\nAnswer: 5, 113, 157, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**3 - 1716*g**2 + 1032228*g + 3112020 = 0?\nAnswer: -765, -3, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 545, 817, 1089, 1361?\nAnswer: 1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwarrwffrr. What is prob of sequence fa?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {m: 3, z: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163782 is divided by 581884.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19675\/12 + -1649. What is the common denominator of 61\/20 and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 21. Let n(q) be the first derivative of -k + q**4 - 3*q**4 - 4*q**3 + 5*q**3 + 6*q**3. Find the third derivative of n(v) wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -121465 + 277841. Is ((-7)\/4)\/((-22)\/x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**0\/w*w\/(w*w**(-3\/10)*w))\/(w**2*w**0) assuming w is positive.\nAnswer: w**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3804, 7590, 11378, 15168, 18960, 22754?\n\"Answer: w**2 + 3783*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -3*b, -5*q - 6*b + b + 75 = 0. Suppose q = -0*a + 6*a. Factor -8*m**a - 6*m + 8*m + 0*m + 2*m**3 - 4 + 8*m.\nAnswer: 2*(m - 2)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + 6041\/833 - 9\/21. What is the biggest value in 0.04, 2, q, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36046, -69960, -103874, -137788, -171702, -205616?\n\"Answer: -33914*l - 2132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 79*t + 141. Give p(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.46. Put 0, 5, x, -0.4 in descending order.\nAnswer: 5, x, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567629, -2270450, -5108479, -9081716, -14190161, -20433814?\nAnswer: -27812675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -3, 2\/19, -0.053?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2415 divided by 34\nAnswer: 2415\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 7:49 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*u**2 - 1070*u - 101808 wrt u.\nAnswer: -74*u - 1070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4 + 3*s**5 - 22*s**2 + 25*s**2 - 3*s**3 - 2*s**4.\nAnswer: 3*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*n - 2667 = 0, 4*o + 78*n = 83*n + 10602. What is the remainder when o is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h + 48. Let p = -10 + h. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/59, 49, -2, 45 in decreasing order.\nAnswer: 49, 45, 2\/59, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-40)*(-132)\/(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*o + 547*o = 107*o + 32272128. What are the prime factors of o?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (-4 - (-3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5958503 + 1?\nAnswer: 5958504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from ejusw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 - 6*s - 10. Let k be v(-7). Suppose -128 = 5*w + 3*a, -2*a - 3*a = 5. Let l be k*(-2)\/10 - (-5)\/w. Let f(g) = g - 19. What is f(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f**5*w - 55*f**4*z + 230*f**2*w*z - f**2*w - 47*w*z wrt f.\nAnswer: 780*f**2*w - 1320*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - -16. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8) + 18\/24. Suppose 67 = -l - f - 2*f, l - 4*f + 60 = y. Let p = 111 - l. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1646*t + 1170 + 1161 - 2331 as x*t + l and give x.\nAnswer: 1646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 356921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 18*p**2 + 2*p - 1. What is the units digit of y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/21 and -79\/495?\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -92e1?\nAnswer: -92e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.131 less than -30991570619?\nAnswer: -30991570618.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p + 7. Let s be k(-6). Let v(c) = c**3 + 4*c**2 - 2*c - 2. Calculate v(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*m = 18, 5*u - 8*m - 28 = -4*m. What is the closest to -0.1 in 10\/3, u, -4?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -72 and 351?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l - 48. Suppose 4*r + l + 0 = 0. Let j(v) = -5*v + 2. Let b(c) = -14*c + 5. Let q(d) = 4*b(d) - 11*j(d). Calculate q(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((6*18\/2862)\/(-4))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 + 195 + 25 = -64*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -36623, -36627, -36633, -36641, -36651, -36663?\n\"Answer: -w**2 - w - 36621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3 + 1\/60*a**5 - 1\/240*a**6 - 1\/2*a**2 - 1\/6*a**3 + 0*a + 1\/48*a**4. Let l(h) be the second derivative of m(h). Factor l(k).\nAnswer: -(k - 2)*(k - 1)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-638)\/1170 + (13\/72 - (-51)\/136)\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*g + 120*g = -675*g - 116693 + 19073 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 189432*o**2*u - 2*o**2*y + 2*u*y - 287*y - 160 wrt o.\nAnswer: 378864*o*u - 4*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22145.\nAnswer: 5, 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7953*w - 6440*w + 78082 - 198234 = 239673 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 996b3 + 187?\nAnswer: 9987a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14858 divided by -23\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-4)*g\/((g*g\/(g*g\/(g\/((g\/(g**(-1)*g*g)*g)\/g))*g))\/g))\/((g*g\/(g\/(g*g**(-2\/3)*g)*g))\/(g**1*g)) assuming g is positive.\nAnswer: g**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 152, 607, 1364, 2423, 3784, 5447, 7412?\n\"Answer: 151*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -270, -300, -330, -360, -390, -420?\n\"Answer: -30*d - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((198\/9)\/(4\/(-16)))\/(36\/(-17334)) a multiple of 321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 + -12)*-1*(1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -6. Let t = 3 - o. Find the first derivative of 4*x - t - x - x wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32890 and 3019302?\nAnswer: 15096510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 17*x + 129. Let j be (-65)\/9 + 582\/(-54) + 11. Let d be w(j). Solve -9*r - 46 + d = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10722 greater than -10725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 2) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/8 - (-351)\/12. Let f(b) = -4*b + 49. Let v(m) = -15*m - 19. Let j be v(-2). Let t be f(j). Solve -5*a + y = -5*o + 9, o = t*a - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56 + 4?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/5))**(1\/9))**(13\/2)*(l*l\/(l**(-1)*l)*l**(-1)\/l)\/((l\/l**(2\/5))\/(l**(2\/17)\/l)) assuming l is positive.\nAnswer: l**(-913\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j + 0*j - 7*j)*(1 + 2 - 4) + 4*j - 2*j + 0*j)*((-3*j - j + 2*j)*(5 - 2 - 2) + (-j - 4*j + 4*j)*(-1 - 6 + 0)) to c + n*j + a*j**2 and give a.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 295 = -3*l + q, 5*l + 4*q - 495 = 0. Suppose 52*b - l = 51*b. Calculate the remainder when b is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 3*v + 3180000. Round v to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1875, 1676, 1389, 1014, 551, 0?\n\"Answer: -44*p**2 - 67*p + 1986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 14*v**2 - v**2 + 5 - 12*v**2 - 6*v. Let w be d(7). Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 - 4*z + 1. List the prime factors of h(-7).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 9 = -2*d. Let b = 4 - 2. Suppose -b*w = -4, 3*i - 10 = 6*i - 5*w. Solve 3*n + i*n - d = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 18*n**2 + 6. Let v be t(-18). Find the second derivative of -30 - v*l + 17*l**3 + 30 + 13*l wrt l.\nAnswer: 102*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2988 and 17402859.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.09, -3\/14, 1, 0.52, -3?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-9)\/18 + 3 - 54\/28?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4220000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182 - 0.314432.\nAnswer: -182.314432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 + 0.01. Let m(h) = -2*h + 10. Let l be m(5). Which is the second biggest value? (a) f (b) -0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -9 (c) -5 (d) -245 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Suppose 3*p + 2*p + i - 12 = 0, p - 3*i + 4 = 0. Suppose -3 = w + p*n, -2*n + 8 = 4*w - 4*n. Let u(z) = w + z - 1. Calculate u(x(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351936 to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7561*f - 9930*f - 11913*f.\nAnswer: -14282*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3. Let l be q(-3). Suppose 5*g + g - l = 0. Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13229262 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604726 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 49\/2. Let p = -39 + 41. What is the closest to r in 0.1, -4, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178463 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(6\/(-4))\/(36\/(-120)). Suppose 4*u + u = b. Which is smaller: u or -4\/41?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2191)\/(-245) - (61 - (-16887)\/(-273))?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-1 - -7)\/(9\/(-114))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.66 + -0.6. Let o = -763 + 14499\/19. Which is the closest to 1? (a) 0.1 (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5220\/29)\/20 + (-236)\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilh when three letters picked without replacement from glgigfh.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 205669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 10*m + 25. Let d be n(11). Suppose 3*j + 319 = d*j. Suppose -j*v = -33*v + 364. What is v rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*b**2 - 6*b**2 + 31*b**2 + 55*b**2.\nAnswer: 103*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -20*o**3 + 2*o**2 - 16*o - 58. Calculate the remainder when b(-5) is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/100 and 39\/250.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffoffffffof. What is prob of sequence foof?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**3\/3 + 5*f**2\/2 + 2*f + 163. Let d(y) = y**2 - 2*y - 4. Let x be d(4). Let t be (-448)\/(-72) - x\/18. What is j(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 61*b**6\/10 + 3*b**5\/10 - 2827*b**4\/12 - 4*b - 48. Find the third derivative of n(c) wrt c.\nAnswer: 4392*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -5185\/6, -4\/3, -2, -0.4?\nAnswer: -5185\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -394669829, -394669828, -394669827, -394669826, -394669825, -394669824?\n\"Answer: n - 394669830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 37 - 42, -4*c + 2*d = -134. What is the highest common factor of 1419 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26307859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*t + 2*t. Let p = t - 12. What is the lowest common multiple of 7 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 206846743 and 0.2.\nAnswer: 41369348.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:13 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/24*(-72)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*((sqrt(7) - -2*sqrt(448)) + sqrt(7) - (sqrt(175) + 1))*-1)**2.\nAnswer: -650*sqrt(7) + 29600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 14*h**2 - 14*h + 19. Let j be v(-15). Solve -m - 3 = -y - 7, m = j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + g + 10 = 6*z, 0 = -4*z - 4*g + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -225289742 or -225289744?\nAnswer: -225289742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2. Let y(m) = 6*m + 55. Let q(j) = 4*j + 49. Let b(p) = -9*q(p) + 8*y(p). Calculate b(c(k)).\nAnswer: -36*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) 2 (b) -3 (c) -0.1 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {p: 4, d: 2, h: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 295508 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**5 - 660*k**4 + 24399*k**3 - 67338*k**2 = 0.\nAnswer: 0, 3, 43, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022 plus -2.13?\nAnswer: -2.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37652422*r**3 - 63*r**2 + 125886*r?\nAnswer: -225914532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 14*z - 5 - 36*z**3 + 3 + 2.\nAnswer: -36*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39906780773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 14*f + 13. Let p be r(-15). Let n(g) = -g**3 + 5*g**2 - 3*g - 2. Let h be n(4). Let c be h + p + (-11 - -6). Is -5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367 = 85*h - 58 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:05 AM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 6*l**3 + l**3 + (-4 + 4 + l**3)*(-2 + 3 + 2) - l**3 - l**3 + 0*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 933*s - 29771. Give g(-33).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 521a47?\nAnswer: -521a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2159 and 13081?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*g + 168 = 3*w - 542*g, -4*w - 222 = -8*w - 2*g for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2*z**3 - 3*n**2*z**2 - 3*n**2*z + 19883*n*z**2 - 11623*z**3 wrt z.\nAnswer: 6*n**2 - 69738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 80. Let q = o - 65. Let g be (-2)\/(q*3\/(-45)). Calculate the greatest common divisor of 50 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/192 and -101\/86592.\nAnswer: 86592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/12)*(r*r**(1\/4))\/r*(r**(1\/2)\/r)\/(r*r*r\/(r*r*r*r*r**(-1)*r*r*r))*((r**(1\/4)*r)**(-41))**8 assuming r is positive.\nAnswer: r**(-2443\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30277105 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjjj when four letters picked without replacement from {w: 2, j: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3990 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91598 is divided by 198?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - -43. Suppose c = -l*x - 11 - 42, -3*c = -3*x + 159. Let n = -26 - c. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -91.5. Let s = v + 3. Put -1, s, 5, 2\/3 in ascending order.\nAnswer: -1, s, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m + 2. Let c be k(0). Let v = c + -1. Calculate the least common multiple of 2\/(0 - (v - 2)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 2\/3, -2\/21, 4 in descending order.\nAnswer: 4, 2\/3, -2\/21, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiiiiiiieiiiiieeeiii. What is prob of picking 2 e and 1 i?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82794 is divided by 41393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-39)\/126 - 13\/78.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from sskee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.992 + -0.82. Let w = h + -0.1719736. What is w rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(-3 - (3 - 2) - -5). Let x(d) = 4*d + 3*d + 27*d**2 - i*d. Let u(m) = -9*m**2. Determine u(x(t)).\nAnswer: -6561*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 14.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 6*o - 1. Let b(x) = 6*x**2 + 12*x - 3. Calculate 4*b(c) - 9*v(c).\nAnswer: -3*c**2 - 6*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6 - 1)*(2 - 2 - 2*k**3 + (2*k**2 + 0*k + 0*k)*(-4 + 4 + 3*k) + 10 - 10 + 3*k**3).\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825 < 1825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 267866 to the power of 1\/2, to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -436aab (base 13) to base 7\nAnswer: -16323344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzdnrkb. What is prob of picking 1 r, 1 z, and 1 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3517592 and 1.61295.\nAnswer: -3517590.38705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 times 2?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/((-31050)\/184)*((-390)\/276)\/(-13).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/12*-3)\/((-21)\/(-42))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2 + 23*u + 19. Let w be r(-10). Suppose w*g - 3 = 3. Solve 0 = -g*p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0*q - 6 - 12*q + q. Let h(u) = 4*u + 2. Suppose -10*t + 38 + 12 = 0. Suppose -4*d - 3 = -t*d. Calculate d*s(n) + 8*h(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 2*f + 79. Let r be c(0). Suppose -15*k = -14*k - r. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*l - 341*l - 148*l)*(-3 + 0 - 3).\nAnswer: 2106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1236 divided by 618\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -180347\/60 + 3005. What is the common denominator of -41\/12 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -210, 5, 0, -1, -4, 477?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(3\/2))**0\/((s**(3\/2)*s**(-4))\/(s*s**(-1\/5)*s*s*s**(-7)*s)) assuming s is positive.\nAnswer: s**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:09 AM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-5 + 3)) + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 11*w - 132. Let g = -21 + w. Solve 3 - g = -i, -5*i - 22 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3\/4 + 3255*j**2\/4 - 167481*j\/4 + 473229\/4 = 0. What is j?\nAnswer: 3, 51, 1031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and 12372746.\nAnswer: -235082174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, -2, 704 in descending order.\nAnswer: 704, 381, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*s**4 + 969*s**3 + 3*s + 271033 wrt s.\nAnswer: 168*s**2 + 5814*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g + 31 - 315 + 95 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 396195 and 7794?\nAnswer: 2377170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 - 2. Sort -4, 4, t in decreasing order.\nAnswer: 4, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*z + 3 = -159*z. Let g(n) be the second derivative of 129\/10*n**5 + 0 - 4*n + 19\/2*n**z - 4*n**6 - 63\/4*n**4 - 3*n**2. Let g(q) = 0. What is q?\nAnswer: 1\/4, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 2*u + 4*k - 54, 340 = 4*u + 4*k. What is the remainder when 105 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2478 (b) -4 (c) 1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -8. Let z(l) = -l**2 + 7*l + 33. Let p be z(9). Suppose s*k = -p - 15. Let o(d) = -2*d**3 - 5*d**2 - d + 2. Calculate o(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*m - 6*m + 3*k, 4*m + 4*k = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030838 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m. Let s = 5 - 8. Let f be 4\/6*s\/2. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) + -2*sqrt(91)) - sqrt(91) - sqrt(91) - sqrt(91))\/(5*(sqrt(63) + sqrt(7))) + -5 + -4*(sqrt(13) - sqrt(13)*1) + 3 + -2.\nAnswer: -4 + 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/(2*(-1)\/4). Let h(n) = -s*n**3 + 13*n**2 + 3*n**2 - 13*n**2 - 1. What is h(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6 = q. Suppose -2*l = q*c - 6*l - 144, 0 = 5*l. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 60 = 5*n. Solve d = -3*r + 10, 2*d - n = -2*r - 0*d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3 - 6713*b**2 - 93260 wrt b.\nAnswer: -3*b**2 - 13426*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohh when three letters picked without replacement from {o: 1, e: 1, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55353078 = -643*n + 55434739 for n.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8524, 8531, 8538, 8545?\nAnswer: 8552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 657 and 3139.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171))\/sqrt(9) - (1*(sqrt(19) - (1 + sqrt(19))))**2.\nAnswer: -2*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.5966 centimeters in millimeters?\nAnswer: 7425.966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1352 - 4726*u**4 - 692 - 1922*u**4 - 3659 wrt u?\nAnswer: -26592*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79002 = 790*m - 844*m. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 14.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 61*y - 194. What is i(-33)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.37984207 to three dps.\nAnswer: -13.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 2, k: 6}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -114\/2531 (b) -1 (c) -2 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 - 20 = 0, -2*s - 7*d + 923406 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 66 (b) 3 (c) 0.2 (d) 2\/343\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 (base 6) in base 13?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 98 = 78*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 12. Let q(v) = -v**3 + 12*v**2 + 12*v + 15. Let d be q(t). Let h be 0 + d + 64\/(-40). Put h, 4\/7, -3 in descending order.\nAnswer: 4\/7, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34247198*l - 34247198*l - 9*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 2 - -1)\/(-1). Let z = 85 + -82. Let y be (c\/z)\/(2\/(-21)). Solve -3*k + 2*u + 10 = y*u, -3*k + u + 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 228351106*o**2.\nAnswer: 2*o**2*(o + 114175553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 45 = 2*h, 2*r + 9 - 3 = 0. Let y = 26 + h. Suppose 0 = -3*a + a + y. Solve 4*l + 12 = -a*q - 0*l, 3*l - 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -27104*o + 7. What is the tens digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 2 - (-20 - -13 - -2) - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from kkuhhkhdhuhhd?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 6*p - 414. Let t be g(18). Let i(x) = x**3 - 19*x**2 + 21*x - 49. Give i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(1584)*-2.\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3 + (-2 - 3 + 2)*(-2 + 4 + 1))*(2*k**3 + 0 + 0).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44385.182 rounded to the nearest one hundred?\nAnswer: 44400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46260772 is divided by 57?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 + 65. Which is the fourth smallest value? (a) i (b) -0.7 (c) -3\/4 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 7*n**2 + 4. Let y be l(-7). Which is bigger: y or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + 4*m**2. Let d(t) = 2*t + 1. Let b be (1\/(-2))\/(39\/12 - 3). Let x(p) = -p**2 - 4*p - 2. Let r(u) = b*d(u) - x(u). Determine j(z) - 2*r(z).\nAnswer: 4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1877563 or 0.2?\nAnswer: 2\/1877563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7644748 to the nearest integer?\nAnswer: 2765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**3 + 12 - 12)*(3 - 2 - 2)*(3*c**2 + 3*c**2 - 5*c**2).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3554 + -3582. Put -7, -5, 0, x in descending order.\nAnswer: 0, -5, -7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 10*w + 10. Let a be s(10). Let q = a + -3. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1222392131 to the nearest integer?\nAnswer: 34963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 - 375036*z**3 - 5250996*z**2 - 12002880*z + 48009984 = 0 for z.\nAnswer: -8, 2, 125026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 15.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 - (-33)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 34*l**2 - 34*l + 35. Let o be c(-35). What is the closest to -0.3 in -2, 0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 5*x**4 + x**4 + x**2 + 17 to the form i*x**2 + f*x**4 + y + b*x**3 + c*x and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/24 + j**3\/3 + j**2. Let d = 0 - -2. Let b = d + 2. Calculate q(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 28. Let q be 2*(-1 - -3) - -1. Suppose -g = 2*u + 2*w - 7*w, -5*u + 25 = q*w. What is the highest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/6)\/(3\/(-106)). Let u = 208 - j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*w + 7*w - 324 = 0, -5*s + 414 = -w. Let m(x) = -13*x**2 + 5*x**2 + x**3 + 7*x + 74 - s. What is m(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqtgqtntqqtgtqqtq. What is prob of sequence gnq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j**2 + 9496*j + 9497. What is c(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1714*j**3 - 239*j**3 - 217*j**3 + 1674*j wrt j.\nAnswer: 7548*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 118773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -177*n**2. Let l(k) = -70*k. Calculate o(l(u)).\nAnswer: -867300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = z - 0*o + 8, -5*z - 5*o = 20. What is the units digit of 191\/6 - z\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194217 rounded to two dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-192)\/9 + 5)*108\/(-312)*-13\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, h: 5, p: 1}. Give prob of sequence pg.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.11808 * -364.6\nAnswer: 43.051968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57361 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, -1849 in decreasing order.\nAnswer: 19, -3, -1849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9906079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.2? (a) -0.3 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g + 8 + 13*g + 16*g - 11 + 7*g - 13*g.\nAnswer: 32*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 6*f + 4. Determine j(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-37)\/(-7) - 4\/14. Suppose 5*h + 905 = -5*s, 0 = o*h - 5*s + 3*s + 933. Let v = 24 - h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6 + 3*k**2 + 6 + 17*k + k**2 - 4*k**3 - 9*k. Let y be u(-3). Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 784642684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 60. Suppose -r = -4*k + h, 4*r + 0*r + k - 5 = 0. Suppose 0 = 4*n + n + 15. Sort r, n, 5 in ascending order.\nAnswer: n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (2 - 6 - -3). Is l < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20937 is divided by 9366.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 45 + 13 = -13*n + 21, -3*n - 3*v = -9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2935.\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-20))\/((-60)\/(-175)). Are u and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a + 5 = 5*r, 2*r + 6 = 4*a. Suppose -a*i + 0 = -16. Put -3, -5, i in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let s(u) = -28*u + 7. Calculate s(m(h)).\nAnswer: -28*h + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 6. Let t be 1\/(6\/8)*3. Let l(k) be the second derivative of k**3 + 5*k**2\/2 - 12*k. Give t*q(i) + 5*l(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -18.\nAnswer: 11\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -268?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 6 (c) 1.73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2257274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b9ccc - 5?\nAnswer: b9cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -3*o + 6, 4*d = 4*o. Let k be 1 - 1 - d\/(-2). Let y = 6.8 - 5.8. What is the closest to y in -1, 1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(1 - 3 + 4)*(-3 - 2 + 2)*(-t + 5*t - 2*t).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/19 (b) 3\/2 (c) 2 (d) -0.2 (e) 11 (f) 0.229 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofws when four letters picked without replacement from {s: 1, w: 2, f: 1, n: 4, o: 3}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 7. Let s = r + 46. Let o = -43 + s. Sort o, 2\/5, -5 in ascending order.\nAnswer: -5, o, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - 6\/10. Let a(g) = -g**2 - g. Let m(f) = 5*f**2 + 3*f + 1. Suppose -7*o = -7 + 28. What is o*a(c) + z*m(c)?\nAnswer: -2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -340.15 and 0.1.\nAnswer: -34.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 515 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let d(g) = 8*g**2 - 2*g. Give -2*d(o) - 6*j(o).\nAnswer: -10*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -14. Suppose -n*l = -3*l - 15. Let c(z) = -4 - l + 9 - z**2. Let j(d) = 24*d**2. What is j(c(h))?\nAnswer: 24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.791242 milligrams to kilograms.\nAnswer: 0.000008791242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 977948 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 8 - 118. What is the lowest common multiple of c and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = -2*n - 16133. Round n to the nearest 10.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -5, -16.\nAnswer: -68, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 25 + 2*g**3 - 17*g + (-3 + 3 - g**2)*(6*g - 32*g + 0*g).\nAnswer: 28*g**3 - 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 0 + 12*u**3 - 7 wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1206, -1235, -1282, -1347, -1430?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -15*y + 95. Let b be f(6). Suppose 20 = -b*t, 4*i + 0*t - 3*t = 76. What is the remainder when 61 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**3 + 6240*l**2 - 49289*l + 5544. Give d(616).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.022336 rounded to 1 decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 817 and 19049?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-894)\/(-36) + (-2)\/(-12). Suppose z = -0*z + p. Does 25 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3*o)\/o*o)\/o*o\/o**0 assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 2*o - 2*t, 4*o = 3*t - 2*t - 143. Let a be -2 - (180\/o)\/3. What is the fourth smallest value in 0.2, -6, a, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 9 + (20 + -20 - 20) - 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 2*z - 8. Let x be m(4). Let d = x - -19. Suppose 0 = -4*t - d*l + 14, 4*l = -l - 10. Solve -2*u + t = -2*g + 1, -3*g = 3*u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -c**8\/4480 - 17*c**7\/5040 + c**6\/180 + c**5\/20 + 17*c**4 + 134*c. Let y(l) be the third derivative of d(l). Factor y(i).\nAnswer: -(i - 1)*(i + 6)*(3*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45384.\nAnswer: 2, 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007815474 to seven dps.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -0.15 (c) 4 (d) 39\/881\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 4*g - 24. List the prime factors of b(-10).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 9. Let h = 3 + -9. Let b be g(h). Is b less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -258 (base 10) to base 16.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.9 - -28.9. Let t = 2.7106 - -0.2894. Is h != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372604?\nAnswer: 2, 93151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 + 44*u**2 + 161*u - 18. Calculate b(25).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 11537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 16. Let z be l(-7). Let i = -2019030\/4871 + 1\/9742. Let o = i + 406. Is o != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*d = 73*d - 1278. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 79*a - 4050 = 361*a for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5924547?\nAnswer: 3, 23, 28621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 150525 bigger than 150820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 + 74. Put s, 1\/3, 0.5 in decreasing order.\nAnswer: s, 0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11253*j - 179904. Give i(-16).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0501 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7*h + 4. Let a(y) = -y - 1. Let l(o) = 42*o. Let z(g) = -15*a(g) - l(g). Let q = 16 + -1. Let d = 11 - 15. Give d*z(u) + q*c(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21474 and 7158?\nAnswer: 21474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 88 = 86 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*60\/(-48) - -35*1. Suppose -5*q = x - n, -2*q - q = -x + 14. Solve 20*k - 24*k = x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356111.4 nanograms in micrograms?\nAnswer: 356.1114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, -0.5, 2, -6\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*c - 3. Suppose c*f + z + 1 = 0, 4*f - 3*z = 6*f + 3. Let m be -4 - -8 - (f + 0). Solve -m*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/8 - 39*p\/4 - 77\/8 = 0.\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 19 + 4. Suppose -2*g - u + 26 = 0, -x*g - u + 49 = -2*u. Let i(m) = -8*m. What is the remainder when g is divided by i(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 18*s - 23. Determine h(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2524, 1761, 998, 235, -528, -1291?\nAnswer: -2054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*d**3 + 395\/6*d**2 - 793\/6*d + 397\/6.\nAnswer: (d - 1)**2*(d + 397)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)*c)\/(c\/(c*c**(-1\/8)*c))*(c\/c**(1\/8)*c)\/c*c\/(c\/(c\/c**(-1)*c)) assuming c is positive.\nAnswer: c**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.065 and 7.952.\nAnswer: -0.51688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 671\/5 + -135. Sort 3\/7, 3\/8, -23, u.\nAnswer: -23, u, 3\/8, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egv when three letters picked without replacement from vwegu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 11*z**3 - 7*z**2 + 8*z - 8. Let l(i) be the second derivative of i**5\/5 - i**4\/6 + i**3\/2 - 3*i**2\/2 + 642*i. Give -8*l(h) + 3*y(h).\nAnswer: h**3 - 5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1386 - 1387. Let b = 109\/3 + -37. Put 0.1, b, w in ascending order.\nAnswer: w, b, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*j + 2*c, -j + 2*c + 9 = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 + 4*h**2 + 29*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 + 162*k**2 + 49747*k - 210032619 wrt k?\nAnswer: -8*k**3 + 324*k + 49747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {c: 7, w: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m = 1882 + 1446. Calculate the highest common factor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240 > -912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y + 1. Let k(a) = -3*a**2 + 15. Let g(f) = 9*f**2 - f - 43. Let i(h) = -4*g(h) - 11*k(h). Calculate -i(n) + 4*r(n).\nAnswer: -n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/29680 and 47\/52.\nAnswer: 385840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15.026712 months?\nAnswer: 0.1252226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - f**2 + 13. Suppose 11 = 4*x - 69. Suppose -4*m = -i - 0*i - 36, x = -5*i. What is the remainder when g(0) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 7:37 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 - (-6 - 21 - 91)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6.6 (b) 1 (c) 2\/13 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16479877 to the power of 1\/2, to the nearest integer?\nAnswer: 4060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*d - 82, 5*d + 5*q - 22 = 113. Let s = d + -22. Let x be s*3\/9 - -1. Solve x*k = -0*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 17*o**2 + 17*o - 7. Give k(16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 59\/5 of a decade?\nAnswer: 1416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(3872) + (sqrt(3872) + 1 - sqrt(3872)) + sqrt(3872) + -5 + sqrt(128)\/sqrt(4) + sqrt(288)\/sqrt(36) + sqrt(32) + 2)**2)*-4.\nAnswer: -76844 + 1568*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 204?\nAnswer: -1a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 16*k - 10. Calculate the least common multiple of n(6) and 6\/21 - (-26)\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -42 - (-125 + 72 + 68)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 + 1430*w + 15. Let r(p) = -2*p**2 + 1430*p + 12. What is -4*d(y) + 5*r(y)?\nAnswer: 2*y**2 + 1430*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -11*a + 214624 + 67502. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -23*b**3\/6 + b**2\/2 - 17*b. List the prime factors of r(-5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3051, 3579, 4625, 6447, 9303, 13451, 19149?\n\"Answer: 43*v**3 + v**2 + 224*v + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 8*v + 2. Determine g(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -12.917?\nAnswer: 12.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224*z = -6688793 - 1351687. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11665268 - -2719128. Let w = i - -8946097.99909. Let g = w + 42. What is g rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9860 is divided by 1095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 = -o + 12, 0 = -4*o - 5*i + 21. Let t = -106 + 107. Let s be 4 - t - (o - 5 - 2). Solve 20 = -s*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + sqrt(288)*1 - (0 + sqrt(98) - sqrt(98))**2.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1, 596339 in descending order.\nAnswer: 596339, 1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p - 7*p)*(0*p + 0*p + p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -20489*o**2 - o. Let s(x) = 39*x**2. What is k(s(f))?\nAnswer: -31163769*f**4 - 39*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 33924?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -196386 divided by -2766\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17\/8 + 11\/8. Let z = 1.98 - -0.02. What is the third smallest value in c, z, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11.45937 and -21.\nAnswer: -32.45937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 696 and 1506318.\nAnswer: 6025272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1 + 748*f**3 - 3*f**2 - 371*f**3 - 375*f**3 + 5*f. Let j be n(2). Which is the closest to -1\/3? (a) -2 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 2*m = -36. Let j = -7 + m. Calculate the greatest common factor of 9 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 321, 333, 345?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d - 105 = -a, -5*d = 20. Suppose w + 2*p - 132 = -9, 0 = -w - 4*p + a. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -346c - 1?\nAnswer: -346d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-20))\/(2\/(-30)). Let c be 8\/36 + 392\/l. Let s(h) = h**2 - h + 0*h - 2*h**2. Let x(y) = -5*y**2 - 6*y. Determine c*s(v) - 4*x(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13708036451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 5:49 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**34)**(1\/3)\/((h*h*h\/(h*h**(-4)))\/(h\/(h*h*h\/(h**(-46)*h)))) assuming h is positive.\nAnswer: h**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.387938186 and 12.4?\nAnswer: 12.012061814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -1600788295.2.\nAnswer: 1600788305.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8587\/464 + 379\/29. Calculate the common denominator of 20\/(-30) - (-286)\/240 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1122526?\nAnswer: -1122525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3))\/(1 + -3). Suppose r*a = -2*a + 4. Let p be 0 - (1 + (-4)\/4). Solve x + a*x = p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 45, 125, -4, 2\/13?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.12877 decades in years?\nAnswer: 881.2877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1025 divided by 115\nAnswer: 205\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*b**21*b*(b*b**21)\/(b**21\/b) assuming b is positive.\nAnswer: b**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 10. Calculate u(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2765, 9, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*10*5\/(-15).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1682 by 122.\nAnswer: 841\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 15*h**2 + 25*h + 1083. Let s(w) = -5*w**2. Give z(s(l)).\nAnswer: 375*l**4 - 125*l**2 + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 37 - 43. Suppose s + q = -3*s. Which is bigger: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1948, 1796, 1644?\n\"Answer: -152*d + 2100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - s = -40, 5*s - 9 + 4 = 0. Let r = -1 - z. Calculate the highest common divisor of 108 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3438)\/(-144) + -18 + (13 - 8 - 11)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 171 = -4*x, 0 = -2*b + 3 + 3. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.1 - -9. Sort -1\/2, v, -3 in increasing order.\nAnswer: -3, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989 is divided by 650.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*2 + 2*sqrt(19)*-1 + -5 + sqrt(475) + 2*sqrt(475).\nAnswer: -5 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:10 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 28248420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/107 and (-322)\/(-276)*145\/7.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 13*a - 3036. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 3, r: 4, i: 2, m: 1}. Give prob of sequence in.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/8 + x**3\/6 + 461*x**2 + x. Let k(q) = 6*q**2 - 11. Determine s(k(v)).\nAnswer: 18*v**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -5*u**2 + 5\/3*u**3 + 5*u + 7. Determine f, given that g(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52046 and 212?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**(-7)\/(t**4*t*t\/(t*t*(((t**19*t)\/t)\/t)\/t)))**(-21) assuming t is positive.\nAnswer: t**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 3, l: 1, z: 8, b: 1}. What is prob of picking 1 b and 1 z?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -141 + 140.989. Sort -5, 4\/7, o in descending order.\nAnswer: 4\/7, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*u - 225563 + 680763. Round u to the nearest 1000.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 8*m**2\/3 - 22*m\/3 - 4.\nAnswer: 2*(m - 6)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263693?\nAnswer: 167, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 9*d**2 - 8*d + 13. Let k be f(9). Let p = -56 - k. What is the least common multiple of ((-90)\/4)\/(p\/(-4)) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1ba1a79 (base 12) to base 7\nAnswer: 101302404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a millennium in years?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/3)\/(2\/(-12)). Let k be 14\/(-12) + (-5 - t). Which is the second smallest value? (a) -2\/9 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -37*j**2 - 697*j + 3352. Let x(c) = 169*c**2 + 2789*c - 13409. Let z(p) = -9*o(p) - 2*x(p). Factor z(u).\nAnswer: -5*(u - 134)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*l - l + 77 = 0, 2*s - 2*l - 26 = 0. What is the remainder when 49 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3573220, -14292899, -32159030, -57171613?\n\"Answer: -3573226*q**2 - q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*b - 20, -102*m - 3*b + 15 = -98*m. Let s(o) be the second derivative of 1\/84*o**4 + 2\/7*o**2 + m - 5\/42*o**3 + 26*o. Factor s(k).\nAnswer: (k - 4)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1555)\/9 + -2 - (-2)\/(-9). Let x = i + 363. List the prime factors of x.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.5, 1, 310, -2\/17 in increasing order.\nAnswer: -0.5, -2\/17, 1\/6, 1, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.9 or 4542?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3601 - 3606. Put -0.6, 2\/3, z, -0.9 in descending order.\nAnswer: 2\/3, -0.6, -0.9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7740 and -143\/2322.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/12 + 4*u**2. Let n(p) = p. Give n(j(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 5*y + 675. Let w = y + -184. What is the remainder when 126 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*v - 15, 0*f - 26 = -4*v - 2*f. Suppose g - v*s - 38 = -2*g, -28 = -3*g - s. What is the highest common divisor of g and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a074 (base 11) in base 4?\nAnswer: 3101033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 v when four letters picked without replacement from vazaazzzvvzavvvvz.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-6)*((-4)\/(-6))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*z - 3*z - 8 - 17*z**3 + 14*z**3 to the form a*z**2 + k*z**3 + c + x*z and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*s**3 - 1064*a**3*s**2 + 2*a**2*s**2 + 1785*s**3 wrt s.\nAnswer: 12*a**3 + 10710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 2. Let i(m) = 55*m + 42. Let v(l) = 138*l + 105. Let r(t) = 12*i(t) - 5*v(t). Determine -21*j(q) + 2*r(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {q: 1, v: 3, z: 7, f: 1, e: 4}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -2) + 0 + 4 + -5. Which is bigger: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/4510 and -29\/17937910.\nAnswer: 197317010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1920 = -5*b + 10*b. Let g be (-3)\/(-15) - (b\/(-30) - -4). Suppose -5*c = 5*v + 5, 4*v + 5*c - 2*c = 1. Solve -4*l = 20, -g = -y + v*l + 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1141*f + 102 = -1138*f. Suppose -36*r + f*r - 2*j = -214, 3*j - 113 = -r. Calculate the smallest common multiple of r and 56.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -11.\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23925?\nAnswer: 3, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 5198?\nAnswer: -5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = 5*z - 35, 91 = -3*z - 10*k + 74 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqdd when four letters picked without replacement from {d: 3, x: 6, q: 3, i: 1, n: 6, v: 1}.\nAnswer: 3\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 654*z**2 + z - 730 wrt z.\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -70*d + 93. List the prime factors of i(-6).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 25*g**2 + 25*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 24 - 5*q**2 - 384*q**4 - 15 + 381*q**4 - 7 - 2*q**3 in the form x + u*q**3 + g*q + b*q**4 + c*q**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((3\/1)\/(-3))\/(-3). What is w in p*w**2 + 0 + 1\/3*w**3 - 1\/3*w**4 - 1\/3*w = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32946493.\nAnswer: 17, 41, 47269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 18*p + 235. Let i(c) be the first derivative of c**2\/2 - 3293. What is z(i(f))?\nAnswer: 18*f + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 601?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 15*l**2 - 10*l + 14. Let q be a(-8). Let z = 35 - q. What is the remainder when z is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 21*x. Let a be g(2). Suppose 1172 = 4*u + 192. Suppose 10*s - u + 35 = 0. What is the highest common factor of a and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - (-4 + 3*sqrt(343) + sqrt(343))) + -3*sqrt(343)*4)*4.\nAnswer: -420*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 8*d**3 + 7*d**2 - 26*d + 32. Calculate the remainder when 204 is divided by x(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11 and -4587510.\nAnswer: -4587510.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 292479 > 292151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2. Let i(y) be the third derivative of 0*y**3 + 0*y + 0*y**4 - 1\/60*y**5 + 3*y**2 + 0. Determine i(a(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 0, 5*a - 11 = w + w. Let d be ((-6)\/(-4) - 1)*0. Suppose 0*n - 2*n = -j + 9, 2*n + 8 = d. Solve -j = -w*r + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1555038 is divided by 2709.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -0.1, -3, 2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7164877 (base 9) to base 15\nAnswer: -507741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 + -495.981?\nAnswer: -496.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 499, -1, -278, -6 in increasing order.\nAnswer: -278, -6, -1, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let g(s) = 9*s - 17. Let y(j) = j - 2. Let c(n) = 6*g(n) - 51*y(n). Let r(q) = -4*c(q) + 5*v(q). Let l(d) = d. What is 8*l(z) + 5*r(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13266603?\nAnswer: 3, 7, 67, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*n = 24834 - 15344 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*f + 51 = 0, -3*f = -1 - 2. Solve 5*r + 4 = -2*w, -2*w = -3*r - 2*r - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 0.3, -4, 4\/19, -20, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6319122 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + h + 5, j + 2*h = 4. Solve j*u + 6 = 0, w - 5*u = -2*w + 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 539 divided by 77\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 354\/87 - (-44)\/(-638). Solve -w*s = 2*t - 24, -t - 22 = -4*s - 2*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + 5 + 0 + (sqrt(475) - 2*sqrt(475) - sqrt(475)) + 1 + (sqrt(475) - ((1*sqrt(475) - sqrt(475)) + -4)))**2.\nAnswer: -130*sqrt(19) + 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4)\/((f\/(f**(2\/11)\/f))\/f)*f\/(f*f**3\/f)*f*f**(-3) assuming f is positive.\nAnswer: f**(-97\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7798632 a multiple of 636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 3:04 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36285891619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuvx. Give prob of sequence uv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 7\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4237632*b = -5*g + 4237625*b - 93, 2*b + 27 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-3) + -1)\/((-1)\/75000). What is m rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*r + 3, 0 = 2*q - 6*q + 3*r + 21. Solve -p = q*f - 3 - 0, 3*f = p + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 18bbbd9?\nAnswer: 18bbbe1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcezzcezceezzzec. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8 - (-24)\/(-4) - 1148\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2*q + 5*q)*(0*q - 10*q + 2*q)*(4*q - 4*q + 4*q) to the form v*q + m + z*q**2 + n*q**3 and give n.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 6*l**2 - 13*l - 19. Give z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 15 = -x, -15 = 3*x - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q**2 + 0*q**2 + (-4*q - 2*q + 4*q)*(0*q + q + q) - 2*q**2 + 4*q**2 - 3*q**2)*(-2*q + 2*q + 3*q).\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*f = -35, 5*l - 5*f - 7 - 22 = -0*l + 6 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5004 divided by -18\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**2 - 28*f + 312 = 0. Calculate f.\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-13)\/(-3) - 3) + -2)\/(-180 + 182)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11631, -46522, -104673, -186084, -290755, -418686, -569877?\n\"Answer: -11630*q**2 - q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 7*r + 8. Let l be k(8). What are the prime factors of -2 + l\/1 - -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.13 - -8.12998938. What is k rounded to 7 decimal places?\nAnswer: -0.0000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1028*i - 2*i**2 - 62 + 1028*i to g*i + h*i**2 + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -14. Which is the smallest value? (a) 5 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18186\/15 + 12\/(-30). Suppose 0 = -3*h - 3*d + z, 6*d + 403 = h + 8*d. Let w = 1240 - h. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1, 0.5, -4, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -42\/13, 0.3, -4\/9?\nAnswer: -42\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:02 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h. Let c(o) = -7*o + 2*o**2 - 4*o**2 + o**2 - 4. Let j be c(-6). Let p(s) = 0*s**j + 2*s**2 - s**2. Give n(p(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n - 5*n - n)*(n + 2*n - 2*n) + 58*n - 58*n - 17583*n**2 + 29493*n**2 + 7*n**2 - 3*n**2 - 2*n**2 as t*n + a*n**2 + x and give a.\nAnswer: 11910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(112)*-3 - sqrt(112))\/(2*sqrt(12)\/sqrt(3) - -1*sqrt(64)).\nAnswer: -7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 14*c - 18. What is a(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:31 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1594537868 to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1826900057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1, 1\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 738986648 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 255.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*p - 2*n + 575, -2*p + 234 = 3*p - 3*n. Solve 42*v = p*v - 45 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -635*g**3 + 91*g - 181*g + 90*g - 1505*g**3.\nAnswer: -2140*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 25.60185909711.\nAnswer: 25.30185909711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 2 (c) -5\/2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.83 (b) 1 (c) -2\/25 (d) 3 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460 (base 11) to base 5.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.1 (c) -4 (d) -22.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.25 + 0.15. Let u = y + -15.9. Let d = u - -16.9999987. Round d to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*f + 0 = 14, -2*f = -5*z + 8. Suppose -z*m + 91 = 39. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - -0.2. Let h = 1.2 + -1.6. What is the biggest value in -2\/7, -2\/9, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 229*y**2\/2 + 2265*y\/4.\nAnswer: y*(y + 5)*(y + 453)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t**3 + 4*t**2 - 9*t - 10. Let q(r) = -17*r**3 + 5*r**2 - 11*r - 12. Determine 6*c(y) - 5*q(y).\nAnswer: -11*y**3 - y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z + 1. Let y be i(-3). Let a be -4*1\/(-1)*y. Let r(g) = -3*g**3 + 4*g**2 - 6*g. Let c(t) = t**3 - t**2 + t. Determine a*c(o) + r(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164 + 20. Let b = a + 143.9999858. What is b rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63504*f**3 + 8*f**2 + 391*f + 1017313850 wrt f?\nAnswer: 190512*f**2 + 16*f + 391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -357*r**4 - 3*r**2 + 9406 with respect to r.\nAnswer: -1428*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -j + 9, -u + 4*j = -6*u + 30. Suppose i = 5*h + 15, 0*i + 4*i = -u*h - 6. Let v = 3 - 7. Put 3, v, h in decreasing order.\nAnswer: 3, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 1550*v - 4653.\nAnswer: (v - 3)*(v + 4653)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 59853 and -0.0078.\nAnswer: -466.8534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-7))\/((-6)\/(-4)). Let m = 106 - 107. Let q be 2 - (-3 - 0*m\/3). Sort z, -0.1, q in descending order.\nAnswer: q, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 0. Suppose -4 - z = -2*k. Is k less than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 6. Suppose 2*o - b = -2*m, -m + 4*o - 2*o + 1 = 0. What is the remainder when 7 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 10260*k**2 + 17*k - 18. Is u(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) 2 (c) -1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, 95, 5, -2\/13?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 35.\nAnswer: -13\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from exxexrerxex?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 11*o. Let r(c) = -3*c**2 + 10*c. Let w(z) = -4*h(z) + 5*r(z). Find the second derivative of w(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847095431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*j - 4\/5*j**3 + 24\/5*j**2 + 2\/5*j**5 + 0 - 8\/5*j**4.\nAnswer: 2*j*(j - 3)**2*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (-2*-2*sqrt(66) - sqrt(66)) + sqrt(66))\/(-4*1*sqrt(6))*6.\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgm when three letters picked without replacement from {d: 1, j: 3, b: 1, q: 1, g: 3, m: 6}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 + 367. Suppose t*i = 121*i - 385. What is the remainder when i is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*x - 1 = -3*u, -4*u + 24 = -4*x. Let j = -5 + u. Let n be 2 - (152\/(-34))\/(-2). Is j at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - -3.05. Let r = c + 2. Let q = -6\/29 + 99\/58. What is the smallest value in r, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/2452536 and -109\/276?\nAnswer: 2452536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 157588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x - 4. Suppose -3*f = -3*v + 3, f - 1 = -2*v - 2. Suppose -7*q - 133 = -v*q. What is the units digit of h(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**9\/756 + d**5\/15 + d**3 + 6*d. Let f(n) be the second derivative of i(n). Find the second derivative of f(b) wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/1885246 and 7\/226.\nAnswer: 213032798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627717 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 9. Suppose 0 = -5*l + 15. Suppose -l*u = -x - 19, 0 = -2*u - 2*u - 5*x. Let d(t) = t + 8. Determine u*m(s) - 6*d(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*v**2 + 0 + 13*v**3 - 2*v**2 + 7*v**2 + 4 to t*v**2 + d*v + b + i*v**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 + 11*n - 10. Let f be p(4). Suppose -f*j + 4 = 2*x, -5*x - 1 + 2 = 2*j. Suppose -3*s = j*h - 153, 5*s = -4*h + 12 + 245. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 1522535?\nAnswer: -1522532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 38 + 47 + 48 + 37 - 182 - 197*q. Let u(x) = 2*x. Calculate h(u(t)).\nAnswer: -394*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5)\/210*((-24)\/5)\/((-264)\/(-660))\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -2*m - 4*k, 14 = 4*m + 2*k. Calculate the highest common factor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3*j - 27 = -78, 5*w - 3*j + 95 = 0. Which is bigger: -19 or w?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2551*s + 2548*s - d - 10, -4*s - 5*d - 28 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 2. Let j(l) = -l**2 + 6*l + 7. Let a be j(7). Solve a = -2*t + 3*f + w, 2*f + 2*f = -2*t - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 58. Let j(x) = 2*x - 2. Let k be j(o). Let h(g) = -g**3 + g**2 + 3*g - 2. What is h(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 42. Suppose -n = 3*u + 5 + 2, 2*u = -v*n + 6. Let f(b) = n*b + 9*b - 16*b. Let x(q) = 3*q. Calculate x(f(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.5 - 71. Let w = x + -16. What is w rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - (0 + (-1 - 0)). Let l = 113.8601 + 0.0399. Let o = 114.1 - l. Which is the second biggest value? (a) r (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8258296 months in millennia?\nAnswer: 0.0002354858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1102220011 (base 3) to base 13\nAnswer: -cba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/6)\/(-5))\/(5\/35*28)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x + 7. Let n be 8\/(-28) + 33\/(-7). Let r = 8 + n. What is the remainder when o(-4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41\/54 - -1\/108. Which is the third smallest value? (a) -2\/13 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352264269.9605 - -6\nAnswer: -352264263.9605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -31322664 (base 7) to base 14\nAnswer: -4cba6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from hyfyyfhyhh.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85153?\nAnswer: 17, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (9 + 0 - 16) + -9 + -36?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 4*f - 5, -17*g + 21*g - 2 = 3*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169\/88 - 1\/22. Suppose 4*z = -5*u + 53766, z + 4*z + 10730 = u. Let n = 322601\/30 - u. What is the common denominator of n and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*n**2 + 75564*n + 7556 = 0. What is n?\nAnswer: -1889, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = 16 + 44. Let f(v) = v**2 + 5*v + 19. Let h be f(d). Calculate the greatest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/17 (b) 5 (c) 0.04 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 89 = 821. What are the prime factors of d?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4023 or -18?\nAnswer: -4023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - (-2)\/10)*955\/4011)\/(-1). Put 0.2, 2\/13, j, -0.3, -0.45 in ascending order.\nAnswer: -0.45, -0.3, j, 2\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 1072319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - (-7)\/((-14)\/4). Suppose -2*c = l - 10, c + 0*c - t = -l. Let z be 2*(-3)\/6*-15. Solve -3*v - 3*x = -0*x + z, 2 = 2*v - c*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -104 - (-278 + 157) - (5 + (0 - 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 + 2. Let n(f) be the third derivative of -f**6\/120 - f**5\/60 - f**4\/6 - f**3 + 3*f**2. What is the remainder when n(-4) is divided by a(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13352484*d**2. Let o(l) = 2*l. Calculate o(y(z)).\nAnswer: 26704968*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 1\/20*s**5 - 1\/6*s**3 - 1\/12*s**4 + 5*s**2 + 0 - 2*s. Determine p(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328193.\nAnswer: 29, 11317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1087, 8638, 29135, 69052, 134863, 233042, 370063, 552400?\nAnswer: 786527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/9 - 30626*k**2\/9 - 1411970*k\/9 - 16249822\/9 = 0?\nAnswer: -23, 15359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - 5 - (-29)\/6 and 77\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 66*y**2 - 12533*y + 376. What is l(190)?\nAnswer: 1706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 117 = 3*v. Let y = 929 + -968. Is v at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25301\/8 + 3163. Factor 0*t**2 - 3\/4*t**3 + u - 3\/8*t**4 + 3\/4*t.\nAnswer: -3*(t - 1)*(t + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 626, 2365, 5226, 9203, 14290?\n\"Answer: -r**3 + 567*r**2 + 45*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56067481?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Suppose 4*q + 0*v = v - 1125, -1407 = 5*q - v. Let o = -1978\/7 - q. Which is the third smallest value? (a) o (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - u**2 + 3*u + 1. Let a be m(-3). Let v(h) = h - 11*h**2 - h + a*h**2. Let q(n) = -3*n. What is v(q(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1602 divided by -3\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*x - 1 - 4*x + 6*x.\nAnswer: 29*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(4669\/(-23))*(-70)\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*p = 476 + 339 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*i - 10. Solve 3*p + 14 = d, -p = i*d + 3*p + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1632 = -i - 15*i. Calculate the highest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/14*70\/50. Let u = -0.4 - -2.4. Let n = u - 2. What is the nearest to w in -3, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, g: 1, s: 4, a: 2, l: 1, f: 1}. Give prob of picking 1 g, 2 s, and 1 l.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*o + 46*o**3 + 15*o**4 - 7 - 47*o**3 + o**2 in the form l + v*o + x*o**2 + j*o**3 + k*o**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liu when three letters picked without replacement from vuliummvmmliuiuimiu.\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**3 - 10*w**3 + 3*w**3 - 4*w - 2*w**3 + 4*w + (0 - 1 + 3)*(-2*w**3 + 2*w**3 - 2*w**3).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.3, -0.04, 29, 451, 3 in increasing order.\nAnswer: -2\/3, -0.04, 0.3, 3, 29, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (1*(-4 + 2 + sqrt(396) + 2)*6)**2).\nAnswer: -28518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 5*z - 3. Let g be o(4). Let v be 1 + -2 + -2 + g. Let k = v - -1. Is k less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1352, 1349, 1344, 1337, 1328?\n\"Answer: -d**2 + 1353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2979, -2977, -2957, -2919?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4155984 divided by 1368\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -154485000 to the nearest 1000000.\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose -25 = -5*n, n - 2*n + 13541 = -x*d. Is (-2)\/(-8) + d\/(-32) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32912 + 32954. Let i(m) be the first derivative of 0*m**2 + s - 1\/48*m**6 + 0*m + 3\/40*m**5 + 0*m**4 - 1\/6*m**3. Factor i(d).\nAnswer: -d**2*(d - 2)**2*(d + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-4)\/(19\/((-76)\/72))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/9 (c) 2\/5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 211*p + 104*p - 313*p + 4393*p**2 as t*p + l*p**2 + n and give l.\nAnswer: 4393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-46)\/(-6))\/1*(24 - 21). What is the greatest common divisor of 23 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1858 + 1856. Let v be ((-10)\/c)\/(25\/15). What is b in 3\/7*b + 3\/7 - 3\/7*b**v - 3\/7*b**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 577 + -570. Let z(t) = 103*t**2 + 2*t - 2. Let d be z(-2). Suppose -d = n*v + 189. Is v less than or equal to -84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*m + 12 = 0, 4*m + 5 + 9 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85322398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - l - 51 = -16, -m + 23 = 5*l. Solve -y - 3*q = -m, 2*q - 1 = 3*y - 0*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6356 - 4369. List the prime factors of a.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5 - -21 - 21). Let l = 2.5 + -2. What is the closest to -15\/4 in -0.4, o, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/35950 and -5\/112.\nAnswer: 2013200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23358913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:58 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/9*(-1822)\/(-6377)*(-4)\/(-48)*9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 0 - 14*a + 0.\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 + c + 2*c - 6*c - 2*c**2 + 4*c**2 + 0*c**2 + (-c + 6*c - 3*c)*(4*c + 4*c - 7*c) - 2*c**2 + 3*c**2 + c**2 - 2*c**2 - c**2 + 2*c**2.\nAnswer: 6*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3228.4131 to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1928*c - 18336 = 1916*c. What are the prime factors of c?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*a**3 - 50*a**2 + 109*a**2 - 29*a**2 + 0*a**3 - 30*a**2.\nAnswer: -32*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:03 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:30 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from dvdiw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 0*i**2 - 2\/3*i**3 + 141*i. Let p(a) = -5*a - 1. What is v(p(j))?\nAnswer: 20*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/16*77\/(283822\/3298)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93793863 is divided by 19918.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j**2 + 234*j + 52. What is r(-19)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -109\/105 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006621 rounded to four decimal places?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-16))\/(4\/64*4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 60 = 10*c. Let y be (12 - c) + -8 - 2*-3. Calculate the remainder when 49 is divided by 0 - -32 - 30\/y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.400000336 - -31.4. What is v rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/6)\/((-6)\/(-63)). Suppose -40 = -2*k + b. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10f50f3 + 4?\nAnswer: 10f50f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4, -3*h + 5*d = -5 - 21. What is the third derivative of -11*z**5 + z**h - 9*z**2 + 7*z**5 + 14*z**2 wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42759*c + 1576 + 872*c**3 - 486 + 42759*c wrt c.\nAnswer: 2616*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (92 - (-24 + 17)) - 10.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013147411 and 0.2?\nAnswer: 0.0026294822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346920286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2224888 and 4727887?\nAnswer: 37823096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n + 7. Let v(b) = -3*b - 3. Let c(a) = -4*r(a) - 9*v(a). Let w be c(-2). Let j(x) = 54*x**2 + x. Is j(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10304*b + 3356. Let m(g) = -g. Determine f(m(y)).\nAnswer: -10304*y + 3356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -10*v - 2. Give o(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27609659 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b**2 + 54*b + 105. What is the units digit of h(61)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/244581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 11 - 21. Factor -33*j**3 - 2*j**w + 36*j**3 + 2*j**2 - 3*j.\nAnswer: 3*j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54323 is divided by 4487.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4200) + 1*sqrt(4200)*-4 + sqrt(4200))\/(sqrt(216) - (sqrt(216) + 2*sqrt(216))*6).\nAnswer: -40*sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6915 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13)\/(((-36)\/(-8))\/(-9)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.9272 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = k + 4*r - 166, -12*k + r = -6*k + 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/2))**26*(l*l**(-2)*l)\/l**(-1))\/((l\/((l\/(l*l**3*l*l))\/l)*l*l*l)\/l**(-3\/4)*(l\/l**5)\/l*l**(-1\/6)) assuming l is positive.\nAnswer: l**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 8*d**2. Suppose 0 = 18*w - 15*w - 4*y - 22, 2*y + 2 = -3*w. Let h = -3 - -5. Let x(k) = -6 + 6 - h*k**w. Determine c(x(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.559 * 0.3\nAnswer: -0.1677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(8\/3))\/(21\/14). What is the biggest value in r, -1.6, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 + 2*q + 2. Let i be v(-2). Let k be (4\/1)\/(i*-1) - 0. Let u = k - -17. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-1 + 19 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 134 - 42. Let b = 46 + z. Solve -4 = -j + w, 3*j + 2*w = b*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 39 - 132. Suppose -4*u - n + 139 = 0, 4*n - 80 = 4*u - 6*u. Suppose -x*o + u*o = 51. Solve -4*w + 1 = o for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:32 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49945 is divided by 2486.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 694724592?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 522 + -525. Let g = 19 + -18.8. What is the third biggest value in o, -0.5, 5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -x - 25, 0 = 4*x - u + 79. Let o = x + 16. Which is bigger: -3 or o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 78375 = 77938 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 - (3 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m - 27. Let s be v(-9). Suppose 0 = -d - 4*b + 43, -b + 74 = 2*d + b. Let a = s + d. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(1 - 2\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1501 and 31442.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1398514, 1398513, 1398512, 1398511?\nAnswer: 1398510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190 - -204. What is the highest common factor of 238 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -0.06 (c) 3\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*f = -76*f - 23481. What are the prime factors of f?\nAnswer: 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**2. Let s(p) = -40*p + 12. Let w(j) = -357*j + 105. Suppose 14*u - u = -455. Let h(n) = u*s(n) + 4*w(n). Give q(h(l)).\nAnswer: 3920*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -7. Let r(p) = -102*p + 838. Let u be r(8). Let c = 74 - 69. Solve 5*n + 0*m + m = c, -f*m = -n + u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 1. Let o(g) = 2*g + 1. Let l(q) = 2*c(q) - 2*o(q). Let f(t) = t**2 + t - 1. Let w(d) = 7*d - 7. Let a(r) = -7*f(r) + w(r). Calculate l(a(y)).\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**6\/90 + u**4\/8 + 4*u**3\/3 - u**2. Let t(q) be the first derivative of z(q). Find the first derivative of t(k) wrt k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-1) - (0 + -13). Suppose -2*f = -4 + 14. Let z(r) = r + 6. Let n be z(f). What is the greatest common factor of m and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2147970 and 123855.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*n + 80 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*t = t - 6, 9 = 5*j + 4*t. Suppose -v = -2*v - 2*f + 10, -f = -3*v - j. Let h(p) = -p. Let r be h(-4). Solve v = -r*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 543812400 divided by -402824\nAnswer: -1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r. Let h(n) = n. Let l(d) = -g(d) + 2*h(d). Let j be l(1). Let z(m) = -m - 3. Let k be z(-6). Which is the smallest value? (a) j (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/((1*sqrt(7) + sqrt(7))*3 - sqrt(7)))**2.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 + -128 - (1 - 4\/18)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k + 233*k + 154*k + 19491 = -22971 for k.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of -20*(2 - (-636)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1915\/1953 + -13\/63. What is the common denominator of (111\/6)\/(45\/(-6)) and d?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12928)\/36360)\/((-4)\/10)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2954448*a + 2143221.\nAnswer: 2954448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.02. Let v be (9\/(-1))\/(-3) + -3. Let o be (1 - -2 - 2)*v. Is o equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 74*i**2 - i**3 - 20*i**2.\nAnswer: -3*i**3 + 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -8 - 30) + 8 - (-2 - -20)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 16) to base 12.\nAnswer: 11a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/(f\/f**(-5)*f)*f**(-2\/5)*f*f*f\/f**(-1)*f assuming f is positive.\nAnswer: f**(-52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.017.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -1619.48312441?\nAnswer: 1621.48312441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 27*h - 630000 = 0. What is h rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*w*w*w**(-5)*w)\/w*w)\/w*w\/(w*w**(3\/2)))\/((w**(-6)*w*w)\/(w**(-7)*w)))**(2\/3) assuming w is positive.\nAnswer: w**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20126 + -221388\/11. Let d = -0.9 - -1. Sort 0.9, d, q in decreasing order.\nAnswer: 0.9, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/5)*o*o\/(o*o**12))\/(((o\/(o**(-19)*o)*o)\/o*o)\/(o\/o**(-2\/23))))**(2\/19) assuming o is positive.\nAnswer: o**(-7064\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2fca (base 16) to base 9.\nAnswer: 17703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.304178 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-24)*5\/((-95)\/684).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m + 224. What is the remainder when 478 is divided by x(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3*((3*1*sqrt(180) - (sqrt(180) + -1 + 4)) + -4))**2 + 4.\nAnswer: -4536*sqrt(5) + 20767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.681717 rounded to 2 decimal places?\nAnswer: -579.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -7. Let k(o) = -9*o - 4. Is k(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + (-3*sqrt(448) - sqrt(448)) - sqrt(448)) + sqrt(448))**2 + -2 - ((sqrt(448) + sqrt(448) + 3 + sqrt(448) + 2)**2 + -5))*-3.\nAnswer: -9390 + 1488*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 0*s**4 + s**4 + (3*s**2 - s**2 + 0*s**2)*(-4*s**2 + s**2 - 2*s**2) + (2 + 4 - 1)*(-2*s**4 + s**2 - s**2).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/21*(0 + -1). Which is the smallest value? (a) 4\/5 (b) 3\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*l + 138*l - 9 = -22. Let q be (0 - (-21)\/6)\/(-2). What is the nearest to l in -0.5, q, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 13. Let a be m(-9). Suppose 93 = -3*u + a*u. Let o = u - 60. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 48 = 152. Suppose 0 = g - 0*g - w. What is the greatest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -21. Let b = 50 + z. What is n in -29*n - 3*n**2 + b*n = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*f**2 - 6*f**3 + 13 - 8 - 5 as g*f**2 + w*f**3 + l + c*f and give g.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let y = -1 - 0. Let m be u(y). Solve 8 = -m*r + 4*i - 3*i, -r + 2*i = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2, -26733, 1, -1\/2, -5\/6, 9?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-153)*((-57)\/190)\/(6\/5).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -o, 3*w + 119*o = 122*o for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165722119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -3 (b) 2\/5 (c) -5\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9\/47 (b) -2 (c) 7 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 3*g, -2*l - 1 = -4*g - 17. Solve l*m = 6 - 38 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (150*4\/108)\/(44\/396)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -4. Solve 2*m + 2*m = 2*h + 10, -u = -5*h + 2*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*h - 21*h**2 + 10 - 218*h - 1 - 6.\nAnswer: -21*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 428400 divided by -4?\nAnswer: -107100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 + 30*k**3 - 33*k**3 - 24*k + 28*k. Let t be u(-1). Is -6\/31 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3 - 1 + 0*d**3 - 4*d**2 - d**3 - 2*d. Let p be c(-4). Suppose -n - 2*y = -p, -4*n - 5*y = -7*n + 52. Calculate the highest common factor of 2 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Suppose -2*z + 60 = 6*r - 2*r, -y*r + 39 = 3*z. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -12. Let s(a) = -7*a**4 + 5*a**2 + 6*a. Let z(i) = -6*i**4 + 4*i**2 + 5*i. Let v(k) = b*z(k) - 4*s(k). What is the second derivative of v(g) wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 20. Let t be x(-11). Suppose -5*k + g + 76 = 0, -g = 3*k - 2*g - 44. What is the remainder when ((-3)\/t)\/(33\/1364) is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zpzpkpkpuppg. What is prob of sequence kpzu?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**2 + 0*v**2 + v**2 + (0*v - v + 0*v)*(-2*v + 2*v - 2*v) - 7 + 2*v**2 + v**2 + 15 in the form o*v + r*v**2 + k and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4*p = 16. Suppose p*g - 12 = -4. Solve 3*s - 5 = g*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 13864*z + 27712 = 0. What is z?\nAnswer: -3464, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*j - 3607, j + 3*w = 5*w + 1805. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**3 - x + 9 - 5*x - 13*x**2 - 8*x**2 = 0.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3283, 6840, 12765, 21058, 31719, 44748, 60145?\nAnswer: 77910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.29276 + -2.27. Let h = z + -0.024. Round h to 4 dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**9*x**(2\/9)*x)**(-25))**(19\/5) assuming x is positive.\nAnswer: x**(-8740\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:56 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(75) + 2 + 5*(sqrt(75) - (1*sqrt(75) - sqrt(75))).\nAnswer: 2 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, 2, -2\/7, 10\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298303570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/15))\/j**(-2\/5)*j\/(j*(j*j**(2\/5))\/j*j)*j*j*j**(3\/10)\/j*j assuming j is positive.\nAnswer: j**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**5 + 4998*c**4\/5 + 137632*c**3 - 180264594*c**2\/5 - 18033336*c\/5 = 0.\nAnswer: -188, -1\/10, 0, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4960*s. Let q(j) = -j**2. Determine q(z(u)).\nAnswer: -24601600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 169. Let h(c) = -37. Let q(y) = -4*b(y) - 18*h(y). Let l(o) = -3*o. Give l(q(t)).\nAnswer: -12*t + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*v = 313*v + 1211. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -60*x + 9. Let a(p) = -59*p + 6. Determine -4*a(t) + 3*b(t).\nAnswer: 56*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 185910 times -4?\nAnswer: -743640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 696\/7. Let v = -312 + 349. Suppose y + 25 = 3*t + v, 8 = -y - 2*t. Sort y, -0.1, a, -3.\nAnswer: -3, -0.1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/2*1\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/3 of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -16.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 23 = 438*y - 433*y, -4*y + 13 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + -8 + 4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6392)\/(-940) - (-12)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3681*o**2 - 1839*o**2 - 1839*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 8*f + 126. Let k be h(-14). Suppose -2*p - 2*p - 12 = -3*r, -4*r = 4*p - 16. Suppose p = -12*i + k*i. Solve i*t = 5*t - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p + 2. Let z be g(-1). Suppose 5*k + 3*s - 7691 = z, s - 6154 = -4*k - 2*s. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 - 41\/(11726\/(-1122)) - 2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c + 1. Let f(x) = -2*x + 6. Let q(j) = 1. Suppose 60 = 5*t - 0*t. Let r(o) = t*q(o) - 2*f(o). What is 3*n(a) - 2*r(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423.585584 rounded to the nearest 10?\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 9. Let v be 0 - (d + 3 + -2). Let t be (v\/8)\/((-3)\/(-12)). Which is smaller: t or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329608951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 6*b - 0. Solve b*l + 10 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*d - 1304 = 0, m + d - 250 - 198 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/40*-35*1\/2. What is the third biggest value in -1, l, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122147658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136493476133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 2*p. Let a be g(0). Suppose -4 = -5*u - 4*x, -5*u + 10*x - 9*x + 24 = a. Let l = 15 - 11. Solve -l - 12 = -u*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-16)*(-140)\/(-210). Which is the closest to 2? (a) n (b) 0.02 (c) -1\/3 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6558 + 236027\/36. Find the common denominator of n and ((-2)\/50)\/(18\/615).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*i - 4 + (-6 + 1 + 3)*(2 - 2*i - 2) + 0*i - 3*i + i - 79 - 90 + 168*i + 168.\nAnswer: 172*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 - -1.84. Let x = -0.06 - o. Let f = 15 + -14. Which is the third biggest value? (a) 3 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 481043936.\nAnswer: 2, 15032623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002585829 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.651 + -4.349. What is the smallest value in z, -8, 1\/8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -139*d + 1057. What is the thousands digit of l(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74381 bigger than 74383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2 - 70\/36.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r**2 + r - 3. Let b be w(-3). Suppose -7*h + 9 = 3*s - b*h, 0 = -3*s - 3*h + 12. Let l = 4 + s. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(7 + -3 - 5) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45668 and 20464?\nAnswer: 233637488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207.\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -654 + 2120. Is h - (-25)\/(100\/24) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/4 - 2)*2. Let z = -1 - g. Solve -t + 0 = -z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399060 and 4860?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 7*a - 19)*(a**2 + 7*a**3 - a**2).\nAnswer: -49*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16882 = 96*y + 15058 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*j - 38*j**3 + 3*j**3 + 30*j**3 in the form n*j**2 + g*j**3 + s*j + p and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/9, 9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 105*g**3 + 113*g**3 - 226*g**3 - 63*g**2 to v*g**2 + j*g + r*g**3 + w and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9656883 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 3*d - 2. Let p be j(-3). Let y be (5\/2)\/(42\/(-728)). Let r = p + y. Which is the closest to r? (a) 0.3 (b) -3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 736105363 to the nearest integer?\nAnswer: 27131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21, -20, -89, -186, -311?\n\"Answer: -14*z**2 + z + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 divided by -192897?\nAnswer: 5\/21433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/17, 8\/25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (8 - (-22 - -14)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 41\/2*d**2 - 39*d - 13. What is the derivative of m(w) wrt w?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -198.67 + 253. What is t rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44)\/(sqrt(324)*-1) + (sqrt(11)*-2)**2*6 + 0 - (-2 + (sqrt(55)*2)\/sqrt(5) + (sqrt(22)\/sqrt(2) - sqrt(11))*-6)*6).\nAnswer: -109*sqrt(11)\/9 + 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5945240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 3*x, 2*x + 24 = 4*x - 4*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243827442?\nAnswer: 2, 3, 4515323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.264 + 2.338. Let f = -0.074 + h. What is the second smallest value in f, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -15 in decreasing order.\nAnswer: 3, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 7*h + 6. Let m be i(7). Solve -a + m - 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/58 and 0.8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from {l: 12, i: 6}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-16817.4069\nAnswer: -1681.74069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4910\/22 - (-20)\/(-110). Suppose -2*o = -p + 217. Solve -o*r = -2*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 0*f**3 - 1\/6*f**4 + 1\/2*f**2 + f - 2. Let s(r) be the first derivative of c(r). Differentiate s(o) with respect to o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -1*sqrt(45))\/sqrt(9) - sqrt(10)\/sqrt(2)*2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*3511.\nAnswer: 1755.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.06348736.\nAnswer: -0.3174368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2 - 90568*v + 362240 = 0.\nAnswer: 4, 45280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 138*t**5\/5 + 205*t**2\/2 + 29. Find the second derivative of d(b) wrt b.\nAnswer: 1656*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-140)\/(-75))*280\/(-105).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -347 in -4\/7, -4, -1\/2, 891?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 + 5*d - 16. Let n(b) = -5*b - 1 + b + 32*b - 26*b - b + b**2. Determine -h(v) + 4*n(v).\nAnswer: -2*v**2 - v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499163657?\nAnswer: 79, 31634983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 33*y + 5 - 2*y**2 to the form l*y + n + u*y**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/2*-3*34\/1428.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -62*(-12)\/8 + (-1 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1620) - sqrt(1620)*5)\/(sqrt(54)\/sqrt(54) - sqrt(9)))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -15. Let r = 22 - p. Suppose -w = j + 2 - 5, -4*j - 5*w + r = 0. Solve 4 = 2*i - j*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18060817927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19728914 a multiple of 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/2 - 5*m**2\/2 + 8*m. What is the least common multiple of 22 and l(11)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 381835.9.\nAnswer: 76367.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*h = 0. Suppose -5*b - 4*r + 17 = h, -2*r = -2*b + 9 + 5. Suppose 5*p - 5 = b. Solve -p*c = -c - i + 2, 3 = -i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/892 (b) -0.2 (c) 0.2 (d) -5 (e) 0.1 (f) -305\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/108*-16*(-2)\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*g - 94. Let n = g + 40. Is 2 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.1 (c) -0.02 (d) -5 (e) 3\/11 (f) -0.2 (g) 0.063\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140979 - -2)\/(1\/5 - (-36)\/(-30)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 10392?\nAnswer: 10394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4baa - 37?\nAnswer: -5025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251792 to the power of 1\/2, to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 15\/7 + 3\/7*t**2 + 18\/7*t = 0. What is t?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 10:35 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12\/7 (b) -34\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.623 + 0.635. What is the nearest to j in 1, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:30 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/29)*p*p\/((p*p**(-3\/13))\/p)*p)\/(p**(-26)\/(p*p**(-2\/37))) assuming p is positive.\nAnswer: p**(419973\/13949)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.23 + -22.2300008747. What is k rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 12810475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1032*u**2 - 1204*u. Let i(g) = 516*g**2 + 603*g. Let w(k) = -6*h(k) - 11*i(k). Find the second derivative of w(q) wrt q.\nAnswer: 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1407994 and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925 - -6378. What are the prime factors of u?\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:22 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74299*y**3 + 74312*y**3 + 55360 - 55360.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15713 + 467?\nAnswer: 16402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23928439 is divided by 854587.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p - 1\/120*p**6 + 1\/6*p**3 + 1\/24*p**4 + 4 + 1\/20*p**5 - 11*p**2. Calculate y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 19*d**2 - 4 - 2*d**2 - 9*d**2 - 9*d**2 - 6*d. Let q be b(-4). Sort 0, q, 2 in increasing order.\nAnswer: 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -91\/4259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -57 - 2\/3*f**3 + 0*f**2 + 0*f. Let i(t) be the first derivative of t**3 + 1. Determine q(i(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2268 to 2 decimal places.\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 65572240 divided by 16393060?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2\/7 - 57594*r\/7 - 172764\/7 = 0.\nAnswer: -28794, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**5 + 1395*v**4 + 4155*v**3 + 4145*v**2 + 1380*v.\nAnswer: 5*v*(v + 1)**3*(v + 276)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.450759m?\nAnswer: 7450.759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**3 + 2822*f**2 - 994048*f - 996872 = 0.\nAnswer: -1, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 1304*y**2 + 38332*y + 205800.\nAnswer: 4*(y + 7)*(y + 25)*(y + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.56536 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let j(g) be the second derivative of 2*g**3\/3 + 8*g. Calculate j(n(c)).\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2\/125 of a kilometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, -0.1, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23914 - -23912. Let q(u) = 8*u**3 + 3*u**2 + 5*u + 4. Determine q(p).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 477.8 + -478. What is the smallest value in f, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*n**3 - 13*g**3*n**2 + 127*g**3*n*u + 2*g**2*n**3*u - n**3 wrt u?\nAnswer: 127*g**3*n + 2*g**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10324 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 - -132. Let n = p - 43. What is the nearest to n in -1\/6, -0.1, 19?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61572919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1095?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -114*i - 17851. Calculate u(-156).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1846.71 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7443078217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 264*a - 122*a + 1531*a - 212*a + 87660 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21202.31ns?\nAnswer: 0.00002120231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + 0.14. Let k = y - 0.17. Let n = -2.3 - -2.4. Put n, k, -4, -13 in decreasing order.\nAnswer: n, k, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -204.8.\nAnswer: 614.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/7 + -41\/21. Let p = -2 - -3. Let q = -1537 - -1539. Sort q, p, -2, f in increasing order.\nAnswer: -2, f, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9882 = -830*b - 54858 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1016226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2837, -9, -60, -1 in descending order.\nAnswer: 2837, 4, -1, -9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -178, -456, -734, -1012?\n\"Answer: -278*n + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 18 = -d, -z - 8 = 4*d - 3*d. List the prime factors of 38\/(((-2)\/(-4))\/(d\/(-4))).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1530)\/(-12))\/(-5)*(-26)\/(-13). Which is the nearest to -0.4? (a) -1 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 65. Which is the third biggest value? (a) -6 (b) 0.1 (c) 2 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**3\/7 + 324424*l**2\/7 - 648864*l\/7 = 0. What is l?\nAnswer: -81108, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883152?\nAnswer: 2, 3, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -1375, -1833, -2137, -2281, -2259?\nAnswer: -2065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -18307991.\nAnswer: -366159820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, t: 2, o: 1, v: 1, s: 2, y: 1}. What is prob of sequence bvtt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 j when four letters picked without replacement from jwjbbbb.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101322 - 101322 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19609 + 2*y**2 + 19607 - 39216.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 3.03. Let n = 115021 + -115056. Put i, n, -3\/4 in descending order.\nAnswer: -3\/4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -92, -100, -108?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-two fifths of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110012212 (base 3) to base 16.\nAnswer: 22ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t + 3. Let q(y) be the first derivative of -y**2 - 4*y + 147. Suppose -1 - 3 = 2*r. Determine r*q(m) - 3*b(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 15*m**5 - 145*m**4 + 70*m**3 + 190*m**2 - 85*m - 45 = 0?\nAnswer: -1, -1\/3, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t. Suppose 4*y - a = 5, 3*a = 4*y - 3*y - 4. What is the nearest to t in -2, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 8:24 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28106 and 0.1.\nAnswer: 2810.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -87*u**3 - 34*u**2 + 278*u - 282. Give x(1).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486097632.\nAnswer: 2, 3, 562613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 10071590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 345 in -1, 186, 1\/8?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049710 to the power of 1\/2, to the nearest integer?\nAnswer: 1025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3674045*h**5 - 85013*h wrt h.\nAnswer: -73480900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 + -38. Let c be 105\/f*9\/14. Let b = 1 - 0.9. What is the second biggest value in 2\/5, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84241233, 84241235, 84241237, 84241239, 84241241, 84241243?\n\"Answer: 2*x + 84241231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2 + 62*b + 218*b**2 + 68*b + 71*b - 198*b. Is 11 a factor of i(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 - (-3 - (3 - 2))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**3\/3 - d**2\/2 + 30*d + 11362. Let l = 4 - -11. List the prime factors of r(l).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from fzzfzff.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 8. Calculate the lowest common multiple of 350\/63 + ((-3)\/15)\/((-18)\/40) and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/f**9)*f**(1\/2))**(-14) assuming f is positive.\nAnswer: f**(-161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 156, 2, -1.\nAnswer: -1, 2, 4, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 3*l**2 + 6*l**2 - 3*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34.6 - -35.078. Let r = g + 0.17. What is r rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73d (base 15) in base 7?\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -12918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**3 - a**2 - 9*a - 2. Let s(j) = -11*j**3 + 4*j**2 + 18*j + 4. Calculate 3*s(p) + 5*u(p).\nAnswer: -3*p**3 + 7*p**2 + 9*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5 = -p - 8, 5*z - 37 = 4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2439 and -1504 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19223 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-50)\/270 - (6 - 344\/(-12))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (-70 + -17) - 81.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 9:45 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39 - -2 - (-6 + (10 - -3))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8645 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 17 = 4*g, -4*g + 5*v + 14 = -19. Suppose 3*q + 3*b - 30 = 0, 0 = -2*q + 3*q + g*b - 11. Solve -19 = 2*f + 4*h - q*h, 3*f + 4*h - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787 times -10976?\nAnswer: -8638112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w**(2\/15)*w*w*w*w*w))**44\/(w**(-1\/6)\/w)**(-38) assuming w is positive.\nAnswer: w**(-1131\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 9*i - 13. Let l be d(6). Solve -21 = 2*u + 3*q, -u - 14 = l*q + 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 0 + 1 - (-146)\/16 and (-545)\/(-90) + 5 - 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-51)\/(-2))\/(30\/20). Let d = z - 16. What is the highest common factor of 8 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 35*k**2 - 125*k - 60 = 0.\nAnswer: -3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247.5 + 248. Which is smaller: 38 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*c**2)*(-1 + 24*c - 44*c - c**2 + 0*c**2).\nAnswer: -4*c**4 - 80*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4619 - -4616. What is the second smallest value in r, -10, 0.116?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2431344 + -4?\nAnswer: 2431340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -696 by -11052.\nAnswer: 58\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.51 + -5.51. Put 3, -3\/4, 16, v in ascending order.\nAnswer: v, -3\/4, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 0.4, -126?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 21 = 16564*w - 16562*w, -6*k - 30 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + 1*sqrt(3) - (sqrt(48)*2 + 5).\nAnswer: -7*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 499633.8382 to the nearest 10000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.079 * 893.\nAnswer: 70.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -65\/3, -8\/3, -1\/7, -6, -292.2?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44392 divided by -5549\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 135*y + 30. Let n(w) = 4*w + 2. Let t(h) = -b(h) + 15*n(h). Let z(m) = m - 4. Let s(f) = 1. Let i(l) = -4*s(l) - z(l). Determine i(t(p)).\nAnswer: 75*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112920 + 67190 = 7*q. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1315403892 to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**2 + p - 1. Let x be m(1). Let f be x\/(-3)*1*-15. Let n be (0 + 5)\/((-9)\/(-36)). Calculate the greatest common factor of f and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/24444 and 79\/92673.\nAnswer: 35957124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*f - 456*f + 3*f = -74*f - 23200 for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 39 = -5*n - 26, 3*l + 8 = 2*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 728842 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -128*g**2 - 5*g - 45. Let a(w) = 59*w**2 + 2*w + 21. Let t(i) = 13*a(i) + 6*c(i). What is t(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/93 and -61\/90.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.873 - -1.453. What is z rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2354, -4710, -7066, -9422?\nAnswer: -11778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -69. Suppose 3*q - 4*q = -n. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 e when three letters picked without replacement from mmeenj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10341 and 2?\nAnswer: 20682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 22690*l**2 - l - 1. Let x(s) = 24*s. Determine x(n(a)).\nAnswer: 544560*a**2 - 24*a - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12 and 85\/1392.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.5 (b) 1\/2 (c) 3 (d) -45 (e) 0 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9792 and 293184.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 43 - (0 + 13) - -18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 w, 1 q, and 1 l when four letters picked without replacement from {w: 1, v: 4, q: 10, l: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v + 561*v**3 - 1697*v**3 + 560*v**3 + 582*v**3 + 5 to j + x*v + c*v**3 + o*v**2 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:26 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1444*t**2 - 27*t + 26. Let l(q) = -2890*q**2 + 55*q - 53. Let o(u) = 5*f(u) + 2*l(u). What is the second derivative of o(v) wrt v?\nAnswer: 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (127 + (-209 - 37)).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 8*u - 3*h - 5 = 0, 3*u + 5*h = -31 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/9 (c) 6\/13 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 15463278\nAnswer: -15463283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 42*l**4 + 1881*l**3 + 15423*l**2 + 36594*l + 9240 = 0.\nAnswer: -35, -11\/2, -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 744 + 18*t + 15*t - 34*t + 235 - 61 to u*t + l and give l.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723228 + 723228 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 636576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -62. Suppose -2032 = -5*o + y, y - i = -3*y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1978152 by -29972.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - (sqrt(448) + 0)) + sqrt(448) + -4 + -1 + -3)**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*s - 1850*s + 2634*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-1)\/(-4)). Suppose -q + 12 = r*q. Calculate the greatest common divisor of q and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*(-32)\/52\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1454, 5872, 13242, 23564, 36838, 53064, 72242?\n\"Answer: 1476*a**2 - 10*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -30. Let s = 25.95 + g. Is 2\/13 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 1 (b) 3 (c) 2 (d) 23504\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 2*n**2 + 27. Calculate the remainder when r(-5) is divided by 196.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rvvbbrvbvvbbr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejzo when four letters picked without replacement from zzzozjjzejzzzz?\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 5, r: 6, j: 1}. What is prob of picking 2 s and 1 r?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = w + 5, 20 = -0*t + 4*t + 5*w. Suppose -11 = 4*h - t*h. Let u = 26 - h. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27700303 (base 9) to base 6.\nAnswer: -1205344050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-1155)\/(-495)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 6*m**2 - 11*m - 10. What is the remainder when k(-7) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 2:15 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) - (5 + 1 + sqrt(891))**2.\nAnswer: -927 - 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = -36*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Which is the closest to -0.1? (a) 2\/5 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231178897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94312*l + 94315*l + 2*k - 10 = 3, 0 = -2*l + k - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)\/((l**(2\/61)*l*l)\/l*l*l)*(l**(-6\/11)\/l*l)\/(l\/(l\/(l\/l**(14\/5)*l))) assuming l is positive.\nAnswer: l**(-2611\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3721800 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + k + 2*k)*(k - 3*k + k) + k**2 - 4*k**2 + 7*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:43 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**5\/20 + s**4\/6 - 2*s - 5. Let p(a) be the first derivative of f(a). Factor p(v).\nAnswer: v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 4*v - 1. Let i(l) = l**3 + 4*l**2 + 3. What is the lowest common multiple of a(-3) and i(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*j - 2*i, -3*i - i = -j - 11. Suppose 5*s + j = -10, -2*o - s = -1. What is the common denominator of 89\/6 and 112\/33 - 10\/15 - o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -66 + -12?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-33))*i**(-1) assuming i is positive.\nAnswer: i**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-334)\/(-1476) + (-8)\/36. Let x = 1093\/82 + p. Find the common denominator of 47\/10 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277 - 1387\/5. Which is the nearest to m? (a) 2 (b) -0.03 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1375*m**2*t**2 - 10*m**2 + 148*m*t wrt t.\nAnswer: -2750*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 3\/140 (c) 2\/3 (d) -0.3 (e) 1 (f) 14 (g) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2228*h + 126 = -2*q + 2238*h, 3*q + 23 = 2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1144a + b4?\nAnswer: 11531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18292*x**2 - 26830?\nAnswer: 36584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 56*t**3 - t**2 + t - 1. Let z(n) = 2*n - 15. Let s be z(8). What is the tens digit of q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -11 + 11 + 12 - 11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7212708900.\nAnswer: 2, 3, 5, 29, 103, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 14*r**2 - 509*r - 3. Give o(-17).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.15, 3\/2, 39183, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h, h = -o - 1 + 12. Let g be 1\/(-3) - (-21)\/o. Suppose g*k + 235 = 7*k. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.6 - 212.6. Let z = 183.1 + q. Which is the smallest value? (a) z (b) 21 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1861 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1430 + -440. Is 30 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 36, 2, 5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 28*i + 0*i**4 + 0 + 0*i**5 + 0*i**2 - 43\/6*i**3 + 3\/2*i**6. What is the second derivative of h(l) wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -10.347674\nAnswer: -5.173837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(3\/5)))\/u**(-1\/11))\/(u\/(u**(-2\/7)*u)*u)**(-4\/3) assuming u is positive.\nAnswer: u**(849\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.4 (c) -0.586\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 2534126?\nAnswer: 32943638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**2 + 1176*a - 1095. Let m(s) = -2*s**2 - 580*s + 548. Let y(u) = -2*b(u) - 5*m(u). Factor y(f).\nAnswer: 2*(f - 1)*(f + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 188. Let x = 63 + s. Let d = 0.2 - 0.1. What is the third smallest value in -2\/7, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1955 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14740736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 156. What is the least common multiple of o and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 516 and 11940.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -15, 10, 55, 126, 229, 370, 555?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37363 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6456 and 20362224?\nAnswer: 20362224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**4\/12 + 2*p**3 + 15*p**2 - 164*p. What is f(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -0.5, -6, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 divided by 14?\nAnswer: 299\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*d - 161 = 16*d - 20*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.492727019 - -5.\nAnswer: 6.492727019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8180034, -16360065, -24540096, -32720127, -40900158?\n\"Answer: -8180031*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 256227873 to the power of 1\/2, to the nearest integer?\nAnswer: 16007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 6*f - 6. Let c be y(-5). Suppose k - 2*o - o = c, 4*k + 4 = -3*o. Let u = 0.5 - 3.5. What is the closest to -1\/4 in u, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**8\/14 - 11*x**4\/12 + 7*x. Find the third derivative of b(l) wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1888\/6372*6\/8)\/(25\/45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 7 = -7 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a + 69*a**2 - 3 + 5*a**4 - 54*a**2 + 3 + 15*a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243.22622795 + -4.77352905. Let n = 248 + a. Round n to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0 (c) 485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 16*v - 18*v + 5040. Solve -u = 34*u + v for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**4 - 3*x**3 - 2*x**2 - 4. Suppose 23*y = -42 + 502. Let v(g) = -g**4 + g**3 + g**2 - 1. Let p(n) = y*v(n) - 5*z(n). Solve p(t) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -242 (b) -2\/11 (c) 0 (d) 41 (e) 1\/4 (f) -0.05 (g) -2\/45\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a factor of 3991548286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -86, -76, -50, -2?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 37791*d. Let s(n) = 3963*n**2. Determine s(l(y)).\nAnswer: 5659796815803*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 532 = 2*v. Suppose -5760 = -v*j + 30*j. Is j a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-93)\/(-15) + 3\/(-15). Suppose 0 = -3*v - 0*v. Suppose -2*r + 0*r + 48 = v. What is the greatest common divisor of r and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -4)\/(-6)*((0 - 6) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(192))**2 + ((2 + sqrt(432))**2 - sqrt(3)).\nAnswer: 47*sqrt(3) + 2164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 279*i**2 - 5448*i - 305424 = 0.\nAnswer: -101, -28, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*i**2*x + 25*i*x**3 - 3*x**3 - 297*x with respect to i.\nAnswer: -18*i*x + 25*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 + -1 + 4)*19 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 13*f**2 - 43*f - 17. Let n be x(-8). Let b(y) = 3*y - 11. What is b(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-10) - ((-129166)\/7310 - -17). Suppose -2*q - 1 - 5 = 0. Let y be 6\/3 + (q - -1). Which is greater: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = -2*j + 3*j + 2*z, -3*j = 2*z - 3170. Let h = j - 472. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w + 2 = -2*q, -8 = 4*w. Suppose -5689 = -q*m + 3*m. Let g = m - -68317\/12. What is the common denominator of g and -111\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 25*x**2 - 425*x - 1590. What is k(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*t - 19 - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67762365293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - -16. Let a(s) = 25*s**2 - 40*s + 40. Let k(b) = -2*b**2 + 3*b - 3. What is x*k(n) + 3*a(n)?\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 807192 and 2118879?\nAnswer: 16951032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:03 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4813905508 to the power of 1\/3, to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-12)*(-3)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -137200 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 594551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**48*(a\/(a**1*a))**(1\/8))**(37\/2) assuming a is positive.\nAnswer: a**(28379\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -10. Suppose 2*z + 2*a - 52 = -2*z, -5*z + 5*a = -50. Let x = z - b. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11624442 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7249671940 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.8 + 0.2. Let y = 13 - s. Which is the third biggest value? (a) y (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214.95 + -327.\nAnswer: -541.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(4 + -2). Solve 2*y - s + 0*s = 8, -y = -5*s + m for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3375, 3346, 3319, 3294?\n\"Answer: m**2 - 32*m + 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99, 1165, 3197, 6195?\nAnswer: 10159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4) + (-15 - -20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*r + 122*r**2 + 849 - 1699 + 849 wrt r.\nAnswer: 244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2505012 (base 7) to base 16\nAnswer: 4e621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*x - 3*x + 46 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 133*y**2 + 27*y - 303. List the prime factors of z(8).\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -303 - 7492. Suppose -2*l + 5*q = -n, 0 = 2*l + q + 2*q - 1583. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g - 7. Let a(b) = 9*b - 15. Determine -6*a(k) + 13*q(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3855, -3858, -3861, -3864?\nAnswer: -3867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*q = -190*q + 458*q + 166*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 6d6532?\nAnswer: -6d652b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from toiziootiooo. Give prob of sequence tiz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12*((-112)\/616)\/((-375)\/55))\/((-8)\/(-10)). Solve 16\/5*c**4 - 20*c**2 + 0*c + y*c**5 + 2*c**3 + 0 = 0 for c.\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/2*(9690\/(-3135))\/((-36)\/(-66))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 31 = 14. Let b = f - 5. Solve -q - 1 = -g, -3*g + 1 - b = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(6)\/sqrt(2) + 5)) + (sqrt(300))**2 - (4 + sqrt(81)\/(sqrt(6)\/sqrt(2) + sqrt(3))).\nAnswer: -3*sqrt(3)\/2 + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 2.3. Sort f, 4, -5 in descending order.\nAnswer: 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 3. Let r(t) = -3. Suppose 0 = 224*a - 229*a - b - 3, -a - 9 = -b. Determine a*r(v) + 3*l(v).\nAnswer: -3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187354*s - 120*s**3 - 187354*s + 113*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose -i*n + j + 39 = -2*j, -25 = 5*j. Let x(q) = -15*q - 30. Let a be x(-4). Calculate the highest common divisor of n and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67961 - 24610. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 891*i**2 - 4*i + 2. Is w(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, b: 3}. Give prob of sequence bjbj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 497565550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7*f = -16. Suppose -x + 5 = 6, -f*o + 189 = -x. Suppose -3*a - o = -155. What is a rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 285*i**4 - 4554*i**3 + 11*i**2 - 205788072*i wrt i.\nAnswer: 3420*i**2 - 27324*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 550, 824, 1098, 1372?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 159.66297 months?\nAnswer: 0.0133052475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -48.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4083827 or 0?\nAnswer: -2\/4083827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.022, 1\/96, 0.9, -0.11?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 426.\nAnswer: 425.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 7*f**2\/2 + 3517173*f\/2 + 502453 = 0.\nAnswer: -502453, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 14. Let j = b + -8. Suppose 0*u - j*u + 102 = 0. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-15))\/(1 - 2\/5)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-48 - -15) + -14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*q. Let n be (-2)\/6*-3 + q. Let k = n + 0. Let r(h) = h - 1. Give r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:44 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 4, 17, 46, 97?\n\"Answer: z**3 - z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3186 divided by -5\nAnswer: 3186\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4940 = -7*q + 22657. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 5*v**2 - 6*v - 9. Calculate k(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 6 = -2*z. Suppose z*v + v = 24. Let c(d) = -3*d**3 - d**2 - d + 2. Let t be c(-2). What is the highest common divisor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6417 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87770687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*v = -x + 208*v - 17, 2*v = 14 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 - 74. Let m = h + -40. 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 remainder when 8079743 is divided by 6585?\nAnswer: 6533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 - 10*s - 9. Suppose 7*i = -6*i - 65. Let l be 2 + -2 - -1*(3 - i). Calculate q(l).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3 = x. Let t be x*3*12\/(-27). Suppose -4*j + t = i, 4*i + 18 = j - 0*i. Calculate the lowest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 1\/4*h**3 - 1\/4*h**4 - 1\/4*h**5 + 0*h + 1\/4*h**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2273 - 20*c**2 + 11*c**2 - 1818 + 11*c**2 + 1129.\nAnswer: 2*c**2 - 2962","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/35397 and 77\/1765917.\nAnswer: 15893253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0. Suppose 4*q = -4*s + 48, q + 3*s - 9 = 13. Let v be 4\/63 + (12\/q)\/(-6). Which is the nearest to v? (a) -1 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 50?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*h + 9, 4*n - 30 = -n - 2*h. Solve 0 = -n*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30.4 + -2.2. Let q = b + -0.2. Let v = -3.2 - q. What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - -0.7. Let k = t + 1.9. Let j = -2.8 + k. Round j to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(224) + sqrt(224)*-1)*1 - 1*1*sqrt(224))\/(1*sqrt(16)\/sqrt(2) + -3*((sqrt(8) - sqrt(24)\/sqrt(3)) + sqrt(8))))**2 + 5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 10*q - 4 = 0. Let a(u) = 17*u**3 + 7*u**2 - 5*u + 1. Is a(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781387 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001390508644 to 7 dps.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**12)**35)**(-2\/99))**(1\/10) assuming n is positive.\nAnswer: n**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872882?\nAnswer: 2, 17, 25673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139 + -418\/3. Put -0.2, y, -1\/2, -0.07 in descending order.\nAnswer: -0.07, -0.2, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mioigismjjjijiim. Give prob of picking 1 o and 3 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41793 + 65014. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(7056))\/sqrt(448))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -41*f**2 + 72*f - 72*f - 1207 + 1207. Let m(l) = -7*l**2. Determine h(m(u)).\nAnswer: -2009*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 + 34. Let w = -43 - o. Let j = 15 - 12. Sort w, j, -2.\nAnswer: -2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 979 = 1553. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-20) - ((-128)\/20 - -6). Let u = -49 + 49.1. Put 0.4, -4, u, j in increasing order.\nAnswer: -4, u, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36508, 37639, 38768, 39895, 41020?\nAnswer: 42143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 201762*l - 6784650774.\nAnswer: -3*(l - 67254)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - i - 1. Let d be c(-1). Let u(l) = 2*l**3 + l**2 - l. Let s be u(1). Suppose -3*x = s*h - 9, 4*x - 22 - 1 = h. Solve -x*g + 8 = -d*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 209 + -207. Let f(k) = k + 10. Let l be f(z). Solve -t = l - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962583 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3287*f**3 - 1635*f.\nAnswer: 19722*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11618 * 1.\nAnswer: 11618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 45*n\/4 + 68125.\nAnswer: -(n - 545)*(n + 500)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + -3 + (3 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -14*k**4\/3 + 34*k**3 - 42*k**2 - 182*k\/3 + 20 = 0.\nAnswer: -1, 2\/7, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0 (c) -28 (d) -4\/5 (e) -0.322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 17*t**2 + 29*t + 45. Is 11 a factor of i(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96.777 and -0.2.\nAnswer: 19.3554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 5*g**2 + 4*g - 2. Let q be t(-6). Let p be (-8)\/q*25\/(-10). Suppose 7*k - 6*k - p = 0. Solve -k - 1 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -16810*o + 2 - 7*o**2 + 8404*o + o**3 + 8410*o. Give d(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + d**2 - d + 4. Let q be n(0). Let x = 74187.7 - 74188. What is the smallest value in 0.43, q, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m\/m**(3\/5)))\/(m\/(m\/m**18)*m))**(4\/3))**(-1\/45))**(2\/129) assuming m is positive.\nAnswer: m**(736\/87075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (3 - (-4)\/(-2)). Suppose -r + t*r - 314 = -q, q = -1. What is the greatest common divisor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2. Let z(g) = -235*g. Calculate n(z(p)).\nAnswer: -55225*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 20. Let o = -6 - p. Suppose w - o = -2*w. Is w bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*n - 4 + 5 - 4 - 5*n**3 in the form p*n**3 + b*n + k + m*n**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 5*o. Is o < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4*14.574.\nAnswer: -136.9956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 324*i**3 - 99*i + 99*i + (-i**2 + 1 - 1)*(-6*i + 3*i + i).\nAnswer: 326*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*g + z + 16, 5*g + 377 = -14*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*m + 79*m - 2*g + 533 = 0, -5*m = -2*g - 2725. Calculate the remainder when m is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.66 - 3.76. Let r = -0.104 + -2.896. Let o = r - h. Which is the closest to o? (a) -0.2 (b) -4 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/13 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -9\/17 (c) 6 (d) 3\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -307, -359, -413, -469?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.18*-1.42.\nAnswer: 1.6756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, d: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/3 (b) 4\/33 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 221257060 divided by -5?\nAnswer: -44251412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 225 = -5*y. Let t be (-55)\/y - (-4)\/18. Let k = 2 - t. What is the smallest value in k, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(256\/12))\/(((-1548)\/(-192))\/43).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -306*y + 294*y - 144*y + (-1 - 5 + 5)*(0*y + y - 1202 + 1249) to k + i*y and give i.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 727*g - 35. Let i be n(4). Let a be i\/323 - 2\/(-19). Solve -a*p - 10 = -4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*t, 2*t = d + 4*t + 6. Let v be d\/(-36)*-6 - (-2)\/(-3). Which is smaller: v or -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*m + 4, -7*v + 2*v + 20 = 3*m. Solve -2*u + 7*u + 4*y + 13 = m, 2*u - 5*y = 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79206 is divided by 97?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4) + 7 - 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 14*f**2 + 6*f + 148. Let l be i(15). Solve 11*a = 9 + l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7632459 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/210 + h**5\/30 - h**3\/6 + 7*h**2. Factor r(a).\nAnswer: -(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80626715879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 373 - -127320?\nAnswer: 127713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*w = -18 + 5, -4*w - 12 = 4*x. Which is greater: -2\/107 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4}. What is prob of sequence mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300 + 298 - 1856*d + 1855*d.\nAnswer: -d + 598","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 9*k - 31. What are the prime factors of n(6)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9829976 to the power of 1\/2, to the nearest integer?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.9 (b) 1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s - 38*s = -710*s - 94*s + 8030 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = 4. Find the common denominator of ((-6)\/v)\/(3\/5) and 14*(-9)\/(-42)*(-80)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104670, 104687, 104704, 104721?\nAnswer: 104738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 525\/(-300)*(-3)\/(21\/2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2 + q + 4. Is p(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 + 337. Let p = -142.00000083 + r. Round p to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*f - 164, 4*f + 176 = 5*h + 3*f. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w + 23*w - 35 = -5*y, 0 = 3*y - 2*w - 16. Let p be (-2 + 30\/(-2))\/(-1). Solve -y = 3*a - p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 7 - 47. Let u(i) = -6*i + 1. Let o be u(a). Let b = o - 68. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 4222779?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -42295 divided by -360\nAnswer: 8459\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b = -23*b - 184 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 144. Let w = -142 + a. Sort w, 21, -4 in increasing order.\nAnswer: -4, w, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose 3*a = -4*s + 2*s + 37, s = -t*a + 51. What is the highest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 19\nAnswer: 21\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -b**4\/3 - 12*b. Let h(t) = -138*t + 2*t**2 + 138*t + t**2. Give h(a(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 + 4. Suppose 5*a = 3*a + 10. Suppose a*c - 18 = 32. What is the remainder when c is divided by z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 8:29 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 2, w: 4, s: 1, v: 7}. Give prob of sequence lvvs.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2193 divided by 2818\nAnswer: -2193\/2818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.4 + 5.18. Let q = -213469 - -213469.780037. Let z = q - m. Round z to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 11, -5, -4, -11\/5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/(-6)*14224\/12192)\/(1 - (-5)\/(-4))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 40, -2, 0, -211, -52 in descending order.\nAnswer: 40, 4, 0, -2, -3, -52, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.9? (a) 3\/2 (b) -2\/9 (c) 7 (d) 9 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 5*y - 2 = 0. Suppose -94 = 4*m - 13026. Suppose x - y*j = 815, 0 = -4*x - 0*x - j + m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/((-36)\/198 - (-3232)\/17534)?\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 7*o - 9. Let h be g(7). Let l = h - -111. What are the prime factors of l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1670663 to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -2\/3 (c) 415 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 4*l - 6. Let y(f) = 3*f**2 + 3*f + 24. Let v be y(-4). Suppose 0 = 3*x - 7*x + v. Suppose 19*a - x*a = 28. Determine w(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6 and 11\/57.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 6*d**4 + d**3\/3 - d - 9. What is the remainder when k(1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7889*i + 32720 + 129959 + 388028 - 53700 = 0 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 144754 and 203?\nAnswer: 29385062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 425 + -621. Let o = 200 + r. Solve d + d - o = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.266 times 0.03\nAnswer: 0.00798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1457394, -2914790, -4372186, -5829582, -7286978?\nAnswer: -8744374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 141*w - 80 = -53*w - 86*w, -40 = 5*o + 40*w for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -16. Let y = -5 + o. What is the first derivative of 1 - 2*k**3 - k**4 - 2*k**y + 2*k**3 wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-112)\/(-2464)*(9 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246 - -248. Solve -5*l - 10 = -5*c, j*l + c + 4 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489151409?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-8)\/q)))**15*(q\/(q\/(q*q**10)))\/q*q*q*q**(3\/4)*q*q assuming q is positive.\nAnswer: q**(-481\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 390? (a) 1\/3 (b) 8 (c) 0.3 (d) 31 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 - 14820*u + 5635840.\nAnswer: 5*(u - 2516)*(u - 448)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 + 128*n + 58. Determine a(-42).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 819486.7 years?\nAnswer: 819.4867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h**2 + 4*h - 24. Let x(n) = 7*n**2 + n - 12. Let k(u) = -9*x(u) + 4*y(u). Let m be 123\/(-15) + (-2)\/(-20)*2. Determine k(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 112?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 3*k = -6, -8 = -4*i - k - 3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 0.082584?\nAnswer: -0.072584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 111*i - i**4 + 3 - 226*i + 2*i**2 + 113*i as w*i**4 + b*i + n + x*i**3 + s*i**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 43. List the prime factors of n + 3 - (28 + -102).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.207 (b) 99 (c) 2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10772 is divided by 2717.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025740 times 0.113?\nAnswer: -115908.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 16974779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/5)*l**(2\/41))\/(l**(-2\/11)*l\/l**(-1\/8)) assuming l is positive.\nAnswer: l**(-12527\/18040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212967*m + 426050*m + 3*m**3 - 5*m**3 - 213033*m.\nAnswer: -2*m**3 + 50*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -48) + 1 + -1 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - o. Let t(x) = 9957*x**2. Give a(t(h)).\nAnswer: 594851094*h**4 - 9957*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w. Let f(a) = -5*a. Let n(r) = 5*f(r) - 3*h(r). Let j(s) = -12*s. Let q(l) = -8*l. Let b(c) = -5*j(c) + 8*q(c). Calculate n(b(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (172*h - 120*h - 893*h)*(h - 5 + 5).\nAnswer: -841*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 5*j**2 - 2*j - 1. Let o be (-22)\/5 + 14\/35. Calculate u(o).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzls when four letters picked without replacement from {s: 1, l: 1, v: 1, d: 1, z: 1, y: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 0.1. Let b be (-104)\/(-16)*6\/(-13) + (5 - 1). What is the nearest to -1.3 in b, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139763 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 67989287.\nAnswer: 1\/67989287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12778*q**3 - 8*q**2 - 24*q + 4. Let j(p) = 178893*p**3 - 110*p**2 - 330*p + 55. Give -55*g(s) + 4*j(s).\nAnswer: 12782*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3 - 1) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + -1 + (-1 - -10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*g = -12, -2*u = -4*u + 2*g + 8. Suppose 4*c = -2 + 14, -u*c - 9 = -5*a. Factor -v**5 + 3*v**a + 0*v**3 - 2*v**5.\nAnswer: -3*v**3*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 564\/6*(-8970)\/(-14053).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3301 - 3303. Which is the second biggest value? (a) -4 (b) -0.2 (c) 12 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/8 and -59\/39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/4 + 3\/4. What is the third derivative of 2 - 2*x**4 + 4*x**2 - 2 - 2*x**k wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(162))**2 + 2 + (sqrt(2) - (sqrt(2) + 1)) + sqrt(8)\/(sqrt(4)*1).\nAnswer: -215*sqrt(2) + 1475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2577*m**2 - 3775*m**2 + 2474*m**2 - 1399*m**2 - 3495*m**2.\nAnswer: -8772*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 333 + 161 = 0. Calculate the remainder when d is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -295.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arahrdrrrrararddrrrr. What is prob of sequence rar?\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3931 divided by -42\nAnswer: 3931\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by -4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -291, 1\/2, -4\/5, -0.481, -15?\nAnswer: -0.481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-40014)*-377 + -4*(-4)\/(-144)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -2*y + 32. Let k(i) = -i**3 + 43*i**2 - 390*i + 3. Let b be k(30). Let q(j) = 20*j - 3. Let u(f) = 7*f - 1. Calculate b*q(x) + y*u(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*b**4*r**3 + 56*b**4 - 3*b*r**3 + 5*b + 4*r + 5 wrt b?\nAnswer: -132*b**2*r**3 + 672*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94254229?\nAnswer: 31, 601, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 110, 152, 212, 290?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 1358968*f\/5 - 230849253128\/5.\nAnswer: -2*(f + 339742)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -17*i + 8. Let u(t) = -11*t + 5. Let s(q) = 8*u(q) - 5*w(q). Let g(k) = 7*k - 3*k - 3*k. What is g(s(x))?\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1828233, 1828228, 1828223, 1828218, 1828213?\nAnswer: 1828208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from ubtu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1 + 4 - 2 + 0 + 5*k**2 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 990 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppmpppppmppppmpppm. What is prob of picking 2 p and 1 m?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 9*r + 3. Let m be i(9). Suppose -6*z - f = -z + 14, -m*z = 3*f + 6. Which is greater: -7\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 n when two letters picked without replacement from {h: 2, l: 1, n: 2, b: 2, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3189 and 3432427?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-138) + 21\/23 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6. Which is the nearest to -2? (a) j (b) -2\/9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2580288 by 2848.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + c + (0 - 2*c + 0)*(13 - 4 - 5).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27261874.6 + -43391\nAnswer: -27305265.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, n: 2, m: 1, y: 1, e: 2}. Give prob of sequence ee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 143419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 times -0.9?\nAnswer: 1980.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from {n: 1, k: 4, j: 8, e: 2, o: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 505404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 2507.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8156 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = -4*m, 2*z - 10 = 3*m. Suppose 0*i - i = 2*p - 7, 4*i - 24 = -4*p. Solve l + 8 = -3*k, 0*k + z*k + i*l = -27 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12295, 24603, 36921, 49255, 61611, 73995, 86413?\nAnswer: 98871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45189 + -45164. Suppose 0 = -4*v + 298 - 18. Calculate the remainder when v is divided by g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5f818 (base 16) to base 2.\nAnswer: 1011111100000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 2 - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1 - -1) + 33 + -30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 6*c - 5. Let t be q(6). Suppose 0 = -l - 1 - 3. Let n be (2\/l)\/(2\/4). Sort n, t, 4 in increasing order.\nAnswer: t, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + 3)*2\/5. Let q(r) be the third derivative of 0*r - 2*r**2 + 1\/6*r**3 - 5\/24*r**z + 0. Give q(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 - 2*j**3)*(-138*j + 264*j - 141*j).\nAnswer: 30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a + 52. Let j be o(-12). Suppose 32*v - j*v = 1372. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1010?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 1956492.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40*y**4 - 10*y**3 + 335 wrt y.\nAnswer: 160*y**3 - 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 - -425. Suppose -2839*w - 4*q - 268 = -2843*w, 5*q - 142 = -4*w. Calculate the greatest common factor of w and n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 divided by 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from tthhthctthiwtaii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/11 (b) 0.1 (c) 0.8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -13*h + 35. Suppose -2*p + 4*s = 0, 2*p + 4*s - 1 = h. Sort -6, 1, p, -4 in descending order.\nAnswer: p, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b - 17. Let c be v(-4). Is 13\/(c\/765) - (2 - 3) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24404 + 6102 + 324 - 485 = -255*f for f.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -1. Solve 5*f - 2*u + 13 = -0*f, 4*f + m = 5*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4544132?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 116*d + 2618. Calculate y(-14).\nAnswer: 994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 214704?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 3*n + 81 = 0, -2*o - 3*n = -39. Suppose -o*m + 4038 = -18*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33c (base 13) in base 16?\nAnswer: -22e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2420 - 1392. Suppose 8 = -2*u, 3*z + 59 = -3*u + c. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 7*q**2 + 27*q - 123. Let r be t(6). Let s(h) be the second derivative of 1\/6*h**r - 4*h + 0 - 2*h**2. Find the first derivative of s(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-6 - 1)) + -103 + 20\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/184925 - -6471279\/202677800. Find the common denominator of v and 29\/548.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/30984529 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 - -200.109. Let g = 0.222 - o. Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 1437. Let q(d) = -7*d + 4. Determine q(s(b)).\nAnswer: 14*b**2 - 10055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2*q + 1. Let k be o(-1). Suppose k = -5*t + 4*t + 37. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/65485 and 3\/877499.\nAnswer: 4387495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314737933?\nAnswer: 1314737933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**5 + 0*a**3 + 0*a**4 - 32*a + 37\/2*a**2 - 133\/30*a**6 + 0. What is the derivative of s(f) wrt f?\nAnswer: -532*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (186\/(-3627))\/((-372)\/156)?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 11:33 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1681*y**3 + 6*y**2 + 11*y - 18. Let b(n) = -n**2 - 2*n + 3. Calculate -6*b(k) - h(k).\nAnswer: -1681*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -336 or 1\/6624?\nAnswer: 1\/6624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20538040 to the power of 1\/2, to the nearest integer?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2 + 3*r + 0 - r + 8*r**2. Let x be 16\/9 + 29\/((-3132)\/(-24)). What is the units digit of h(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -18*a**2 + 305*a + 8. What is y(17)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 + 14\/2. Suppose -4*d = d + 30. Let i(t) = -t**3 - 6*t**2 - 2*t. Let o be i(d). Calculate the highest common divisor of q and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 764\/11, -33, -2, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51605.\nAnswer: 5, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14276987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1 + 1 - 1). Suppose -3 = 2*d - y. List the prime factors of 3 + 1 + d + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w**2 + 161*w - 311*w + w**2 + 175*w to the form y*w + r + m*w**2 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/35 + 2 + 1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 0.4, 30, 3 in decreasing order.\nAnswer: 30, 7, 3, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 205*t - 18. What is r(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 a when four letters picked without replacement from {k: 2, a: 2, q: 2, i: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -3\/110*n**5 + 0*n**2 - 6*n + 0*n**3 + 1\/33*n**4 + 1\/165*n**6 + 0. Let z(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -38. Does 2 divide ((-5)\/(-3) - w)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881264.3 litres to millilitres.\nAnswer: 881264300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(1*(sqrt(1377) + -3 + sqrt(1377)) - (sqrt(1377)*3 - sqrt(1377))*-4)*-2*1)**2.\nAnswer: -54000*sqrt(17) + 13770905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 526431623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -272.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7 - 1 = -2*t, -4*d - t = -4. Suppose -8 = -3*n + 1. What is the first derivative of q**3 + d*q**3 - 2 - 3*q**n wrt q?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 13. Let l be p(-8). Let v = l + 13. Let n = 53 + 75. Calculate the greatest common divisor of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -5*r**3\/6 - 9*r**2\/2 - r. What is the tens digit of p(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/1362*(-3381)\/4508.\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16537240 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/7, 0.7, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, n: 5, z: 3, i: 2}. What is prob of sequence iin?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 205 or 204?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -62*f - 5180. Let d(o) = 74*o + 5176. What is 5*d(k) + 6*m(k)?\nAnswer: -2*k - 5200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q - 15 = 39*q + 3*f, 4*f = -5*q - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {g: 6, e: 1, k: 10}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2265 divided by 3?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.3964t in grams?\nAnswer: 632396400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 4 - 2 + 0 + 4 + (-5 - 1 + 5)*(1 + 1 - 1) + 0 - 3 + 4 + 7 - 2 + 77 - 2 + 1 + 2)*(-3*h + h + 5*h) as o + u*h and give u.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 139953641.2 to the nearest 1000000.\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/6 + (-302)\/(-6) + -3. What is the derivative of -2*t**4 - 40*t + c*t + 18 + 26 wrt t?\nAnswer: -8*t**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 54780654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2\/(-24))\/((-55)\/20).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 13\/(-3))*3. Suppose 5*j = 4*z - 22, -3*z - 4*j = -2*z - y. Solve -6*h - z = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-93 - -55) - (-46 - -20)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7212?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13151613*k**2 - 11049121*k wrt k?\nAnswer: -26303226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -224, -349, -500, -689, -928, -1229, -1604, -2065?\n\"Answer: -2*y**3 - y**2 - 108*y - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 71*a**2 + 24639*a - 24641*a + 4 - 4. Let s(c) = 3*c**2. Determine b(s(r)).\nAnswer: 639*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.08, 8, -4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201 and 87?\nAnswer: 17487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 50427?\nAnswer: 352989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -5*r**4\/6 + 5*r**3\/6 - 9*r**2. Let f(b) = 10*b - 3. Let n(y) = 11*f(y) + 6*u(y). Find the first derivative of n(q) wrt q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z. Let u(c) = -20*c**2 + 38*c - 12. Let m(y) = 19*y**2 - 35*y + 11. Let a(p) = 12*m(p) + 11*u(p). Calculate 2*a(w) - 4*v(w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23458.\nAnswer: 2, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 5. Let j be (-83 - -76)*24\/28. Sort j, -3, d, 0.\nAnswer: j, -3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/7 + 1389550*r\/7 - 26402172\/7 = 0.\nAnswer: -694794, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589 + -588.9. Sort -0.4, t, 0.5, 5\/2.\nAnswer: -0.4, t, 0.5, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 84490?\nAnswer: 84490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1278084208 and -1278084208 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o - 524. Let h(l) = -7*l**2. Calculate g(h(r)).\nAnswer: 56*r**2 - 524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1138182 - 149.8886218. Let i = z + 150. What is i rounded to four dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 3*g + 214, 6*v - 96*g + 106*g = 3*v - 145 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7061 by -86.\nAnswer: 7061\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q\/(q**(-4)\/q)*q*q)*q\/(q*q*q**(6\/5)*q*q) assuming q is positive.\nAnswer: q**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 3:51 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/26))**(-7\/6))**2 assuming g is positive.\nAnswer: g**(7\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*f = -24088, -2*f = 2*n + 2*n - 48194. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0*t - 3. Let a be ((-134)\/(-12) + -11)*-15. Is a at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 9*m**4 - 2*m**2 + 11*m - 16*m - 15 + 5*m as h*m**2 + l*m + i*m**3 + r*m**4 + u and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (19488 + 4736 + 16095 - 8389 + 14392)*(3*q**2 - 2*q**2 - 3*q**2) as y*q + c*q**2 + z and give c.\nAnswer: -92644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -3. Let j = 12.06 - k. What is j rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 9 - 32 - 24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 12:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 17, 2, -6, -3 in decreasing order.\nAnswer: 17, 2, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66335 (base 7) in base 14?\nAnswer: 60c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.2208 rounded to two decimal places?\nAnswer: 38.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 125*q**2 + 4 - 106*q**2 - 3.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.4, -7, -5, -23\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -11*q - q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12 - 3*g - 16*g**4 + 12 wrt g.\nAnswer: -192*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -19776.\nAnswer: 5\/19776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/9 smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 109 + 25*d - 126 + 161*d**2 - 18*d. Is 41 a factor of b(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 3*g + 18 + 15.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k + 4*v + 9988 = 41*k, 5002 = 2*k - 3*v. What is the greatest common divisor of k and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.5. Let i = -3252.95 - -3253.25. Which is the closest to y? (a) 4 (b) 0.03 (c) -2\/13 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(76) + -2 + -5 - ((sqrt(76) - sqrt(76)*1) + sqrt(76) + 3)) + (3 + 0 + sqrt(76) + -1)*-2.\nAnswer: -4*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 268*r - 1063. Give y(5).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1512 take away 14?\nAnswer: -14.1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -772 = -116*d - 181 + 801 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 68*t**4 - 988*t**3 + 5*t - 331588 wrt t?\nAnswer: 272*t**3 - 2964*t**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -63.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29411350?\nAnswer: 2, 5, 41, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**2 - 5*o - 4. Let r be l(-1). What is the remainder when (18\/(-8))\/r - 473\/(-4) is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 25, -2*o + o = 5*h - 297. Let y(i) = -8*i**2 + 100*i + 1255. What is the remainder when o is divided by y(20)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 164177 by -4.\nAnswer: -164177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 21*r - 62*r + 97902. Which is smaller: r or 1551?\nAnswer: 1551","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*o**4 + 97536*o**3 - 12968*o**2 - 24 wrt o.\nAnswer: 1056*o + 585216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let o(g) = 4*g - 6. Suppose 42*h = -163*h - 1230. Determine h*p(c) - o(c).\nAnswer: 2*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5268 and 6976149?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2967 - 1)*(-1064)\/(-304). Which is bigger: -20775\/2 or n?\nAnswer: -20775\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16217 is divided by 2019.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*z + 16, 5*z + 1 = -r - 2*r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/14*42\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1, 0.3, -0.5, -2374, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 14*v - 1169 + 1169. Let c(a) = -93 + 6*a + 6*a - 3*a + 93. Calculate s(c(z)).\nAnswer: 126*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2917444*j + 9081383 wrt j.\nAnswer: 2917444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-1*sqrt(3))*2 + sqrt(126)*2*-6)\/(5*-2*sqrt(98) + sqrt(98) + (sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(18)\/sqrt(81))))*-2).\nAnswer: 114*sqrt(7)\/193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 404.5 - 34.\nAnswer: 370.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/1606*3*1*(-104)\/(-468).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 4*v = -2*v. Suppose -7*s + 3*s - 16 = v, 0 = 2*n + 4*s - 28. What is the smallest common multiple of 25 - 1\/(-2)*2 and n?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.432 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1001935.\nAnswer: 5, 11, 18217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -969021 minus 6626?\nAnswer: -975647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - -0.34. Let j be ((-2)\/9)\/((-104)\/(-429)). Let f = 25\/36 + j. Which is the second biggest value? (a) f (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 21*g**2 - 77*g + 367. Determine n(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 + 2*c**2 - 3*c - 16. Let j(f) = -5*f**3 - 5*f**2 + 8*f + 47. Let q(z) = -3*j(z) - 8*k(z). Let w(b) = b - 1. Let a(g) = q(g) - w(g). Give a(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812204153 a multiple of 899?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from nvgxhhvhvnnhvuv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55503751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -362382097 to the nearest one million.\nAnswer: -362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 8*r - 8. Let p(t) = 3*t**3 - t**2 - 3. Let j be p(2). Suppose -3*a - 20 = q, -j*a + 14*a = -4*q + 25. Determine w(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, 0.03, 0.5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3250272 + 45?\nAnswer: 3250307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100604 (base 7) to base 14.\nAnswer: -633b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163924\/117 + -12604\/9. Let i be (1 - 185\/195)*6. What is p in 8\/13*p**2 - i*p**3 + 6\/13*p - 2\/13*p**5 + 0 - d*p**4 = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2\/3*c + 2\/3 + 1\/6*c**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, g: 1, c: 5, q: 7, t: 2}. Give prob of picking 2 d and 1 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30 and 2.53?\nAnswer: 27.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*u - 4*u + 5*u)*(u + 2*u - 4*u) + 37153*u - 55*u**2 - 37153*u)*(u + 2*u - 2*u).\nAnswer: -54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q - 0. Find the second derivative of -227*d**2 - d - q*d + 227*d**2 + 13*d**3 wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72741, -131024, -189293, -247542, -305765, -363956, -422109, -480218?\nAnswer: -538277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -3)\/(-1)*2\/5. Suppose j*f + 32 = 18*f. Solve f*q = q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12449421, 24898841, 37348261?\nAnswer: 49797681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 23*b - 65 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -965679*q**3 + 14*q**2 + q + 2697 wrt q.\nAnswer: -5794074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 11:01 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 301, 1095, 2379, 4153?\n\"Answer: 245*x**2 + 59*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -466*y**3\/3 + 1341*y**2 - 3597. Find the second derivative of a(p) wrt p.\nAnswer: -932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**3 + 2*c**2 - 8*c - 3. Determine u(3).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-10))\/(1\/4). Let i be 2*4\/16*0. Suppose i = j*b + 50 - 840. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhj when three letters picked without replacement from {j: 8, b: 3, i: 3, h: 4, c: 1}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*u - 5*f, 227*u + 2*f = 229*u - 10. Solve -497*o + 501*o - 3*l - 2 = u, 4*o - 5*l - 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**4\/8 - 246*m**2. Let q(k) = k**2 - 7. Give q(a(x)).\nAnswer: 9*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 11. Let m = r + -2. Suppose 0 = 5*z + 6*y - m*y, 0 = 2*y. Solve -v + z = -3*u + 11, -3*u - 2*v - 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((5 + -1)\/(-4)). Let q be (j - (3 - 2))*-10. Solve -k = 4*i - 1, 27 = 3*k - 2*i + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*j - 29 = 0, 5*m + 4*j + 16 = 3*m. What is the greatest common factor of 10 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**2 - 36875*u - 2*u**2 + 36873*u + 2*u**2 + 5*u**2.\nAnswer: 14*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.54 - -12.54. What is the nearest to 5 in w, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*2*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 245274 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47617 + -47387. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77682?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-3))\/((-2)\/(-6)). Suppose 2*i + 87 - 143 = -5*i. Put -3, -1, i, f in decreasing order.\nAnswer: i, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-1 - -14) - -18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d - 2 = 0. Suppose 4 = d*i, 4*i + 0*i + 49 = 3*r. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 + 0*t - 3*t + 3*t.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**3 + 4*n**2 + 9*n - 1. Let o(z) = -z**3 - z**2 - 2*z. Suppose -24*t - 71 - 91 = 54. Calculate t*o(c) - 2*r(c).\nAnswer: -c**3 + c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/2 - 79489*j**4\/2 + 789832507*j**3 - 789395332*j**2 - 7897609728*j - 6318342144 = 0. What is j?\nAnswer: -2, -1, 4, 39744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 32, 0.5, -1350?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 6*h - 23*h + (3 + 2 - 4)*(-2*h - 5*h - 2*h + (1 - 4 + 4)*(0*h - 3*h + 2*h) + h - h - h) + 0*h + h + 0*h + (-4 + 3 + 0)*(0*h - 5*h + 3*h).\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f, -3*f + 0*f = 2*i - 11. Differentiate -12 - i - 6*p + 2 + 1 with respect to p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h + 0*h)*(-53*h + 109*h + 90 - 55*h) + 4 + 3*h**2 - 4.\nAnswer: 7*h**2 + 360*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68195 and 700465.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1352*p - 830 = -5*r - 1347*p, 0 = -r - 3*p + 142. Calculate the least common multiple of r and 240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10451.\nAnswer: 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(192)*-3 + sqrt(192) - sqrt(192))**2*-1 - sqrt(192)) + ((-2 + sqrt(192))*1)**2 + 4)*-1.\nAnswer: 32*sqrt(3) + 1528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1069332, -1069185, -1068948, -1068627, -1068228?\n\"Answer: -t**3 + 51*t**2 + t - 1069383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a = 3*p, -3*p + a - 9 = 0. Let q be ((-4)\/10)\/((-3)\/15). Suppose -q*z - 3 = 2*z - 3*u, -5*z - u = -1. Sort z, -1, p in decreasing order.\nAnswer: z, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o - 10. Let q be r(-3). Suppose v - 1 = q. Suppose -v*w + 14 = 4*x, -2*w + 4*w - 6 = -x. Solve w*l = -4*n - 2, 2*l - 5*n + 11 = -0*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -234, 3\/7, -1.4?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 178. Let v be r(31). Solve 17 = 4*a - i, 0 = -v*i + 3*i - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let o(q) = 1166*q**2. What is x(o(b))?\nAnswer: -1166*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**2\/11 - 21706*j\/11 - 937056\/11 = 0.\nAnswer: -43, 10896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21307229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49172501.\nAnswer: 7, 97, 139, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ed (base 15) to base 16.\nAnswer: 2a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 - 665*z - 20*z**5 - 2387*z + 6*z**2 - 777*z - 9*z**2 - 3*z**5 wrt z?\nAnswer: -460*z**3 + 24*z**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 147*b**2\/2 + b\/2 - 147\/2.\nAnswer: -(b - 147)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ed - 1ee?\nAnswer: -6db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 12106584*k**3 + 16285498345350*k**2 - 7302314316492780000*k + 21906796380320109375.\nAnswer: 3*(k - 1345175)**3*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**5\/10 - 9*y**4\/8 - 3*y**3 + 59. Find k such that x(k) = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + -0.21. Let m(c) = -7*c - 5. Let o be m(0). Put -0.05, x, o in ascending order.\nAnswer: o, x, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/7 (b) -2\/5 (c) 4 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2477, 2482, 2487, 2492, 2497, 2502?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -243, -143 in descending order.\nAnswer: -6, -143, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 456091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56620\/298*(10\/45)\/(2*(-5)\/(-18)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 12 = -5*f. Let p(y) = -y**2 + 5*y + 8. Let u be p(f). Let g = u - 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7443 divided by 3?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21922 - 21857. What is the second biggest value in t, -3, -33?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3551, -27462, -92373, -218786, -427203, -738126?\nAnswer: -1172057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 76\/16)*(-1 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/317459?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/8 + 706599*y + 332854764534.\nAnswer: 3*(y + 942132)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145414310 (base 6) to base 7.\nAnswer: 35026554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*n = 7*v - 22, 0 = -4*v - n + 10. Solve -6 = -v*y, 2*y - 3 = -h + y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x**2 + x. Suppose 5*l = -2*q - 18, 15 = -q - 5*l + l. Let o be g(q). Calculate the remainder when 10 is divided by ((-16)\/o)\/((-2)\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52921393 is divided by 1653793.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let d = -70 - -78. Let j be ((-100)\/d)\/5 + 3. What is the third biggest value in n, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 20 = 2*j - 0*j, -4*v = 0. Suppose -5*l + 22 = -4*w, 5*l = -0*l - 3*w + 1. Put 0, -3, j, l in descending order.\nAnswer: l, 0, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 - 83*u + 767. What is f(-37)?\nAnswer: -1638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20*868339\nAnswer: -17366780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puqal. What is prob of picking 1 l and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 10*o + 6. Let u be c(10). Suppose -13*t + u*t = -105. Suppose 7*r + 584 = t*r. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {q: 9, t: 9}.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 136*l + 24*l)*(3 - 13 - 4)*(0*l**3 + l**3 - 5*l**3).\nAnswer: 8736*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from {g: 6, r: 2, p: 11}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n - 8 = 0. Suppose 0*r - 2*r + 8 = 0. Solve n*q = -2*f + r, 3*q + 12 = 3*f - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, and 1 r when three letters picked without replacement from {a: 4, p: 1, v: 1, b: 3, o: 4, r: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (34 + -17 + -1 - -24).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*r*w + 101222624*i*r + 16700956*i*w wrt w.\nAnswer: -2*i*r + 16700956*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-2)\/(-30))\/((-189)\/(-8505))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62916 (base 10) to base 12.\nAnswer: -304b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 73*d + 6*d**2 + 5*d**2 + 73*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 232920 = 9*p. Suppose -14*r + p + 6046 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.82 + 14. Let i = 0.02 + j. Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*125.17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*w = -15935, -2763 = 4*j - w - 15508. Do j and 3180 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40\/9 (b) 46 (c) 0.018 (d) -4 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -84.5*-1.4\nAnswer: 118.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.263?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, o: 12}. Give prob of picking 2 o.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -653 - -913. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1380, 0.11, 5\/2, 0 in increasing order.\nAnswer: -1380, 0, 0.11, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 6. Let b be r(4). Suppose 6*x - b*k - 19 = x, 3*x = 5*k. Suppose -x*g + g = -16. Let z(o) = o**2 - 2*o - 3. Give z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q - 25 = 0, 6*y - y + 10 = 2*q. Solve -3*t + y*h + 9 = 3*h, 0 = -2*t - 4*h + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*x + 71*x - 23*x to d + p*x and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 147898 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: Is -35795 at most as big as -35795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3\/2 - 151*w**2\/2 - 74*w = 0. Calculate w.\nAnswer: -148\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102264192 a multiple of 759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -23. Let l(d) = -2*d**3 + 3*d**2 + 3*d + 2. Determine l(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.9, 8994, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlynwykksnk. What is prob of sequence wlsy?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5 = 418*j - 419*j, 0 = -2*q - 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*i + 1694*i - 115775 = 0 for i.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 - 134. Let o = 2111100.99957 + -2111170. Let a = g + o. Round a to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 885383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49*a**2*b + 22137*a*b**2 - 31039*b**2 with respect to a.\nAnswer: -98*a*b + 22137*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.4, -85, -15, 6 in descending order.\nAnswer: 6, 2\/9, -0.4, -15, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**2 - 159*j. Let r(v) = -6*v**2 + 54*v. Calculate 4*m(h) + 11*r(h).\nAnswer: 10*h**2 - 42*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -200*a*l - 8145303*a - 92700*l wrt l?\nAnswer: -200*a - 92700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1632)\/(-4488))\/(30\/(-33))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/294)\/((-5404)\/(-378280))?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Let b = -0.3 - 0. What is the smallest value in b, u, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + (sqrt(1700)*2*1)**2 + (sqrt(34)\/(sqrt(8)\/sqrt(36)) + 5)**2.\nAnswer: 30*sqrt(17) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 0 + 0*g**2 + 4. Let q be b(0). Suppose -5*s + 2*a + 454 = 0, 0*a + 98 = s - q*a. Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -909649 times 7?\nAnswer: -6367543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**4\/24 - i**3\/6 - 2*i**2. Let t be w(4). Let s = 5 - t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110110111000 (base 2) to base 10\nAnswer: -3512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6853 to 2 dps.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58330.\nAnswer: 2, 5, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**3 - 2*v**2 + 2*v. Let z(j) = 6*j**3 + 3*j**2 - 3*j. Let h be 5\/((-15)\/9)*2\/(-6). Let b be 15 + -7 + -1 + -5 + h. What is b*o(m) + 2*z(m)?\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 87c73 (base 15) to base 4\nAnswer: 1221111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from {p: 4, u: 5, d: 2, c: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-20) + (-6)\/(-8))*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1363576 (base 10) to base 8\nAnswer: 5147170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25*i - 135. What is d(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2365*n + 85. Let f(u) = 167*u + 6. Let l(i) = 85*f(i) - 6*z(i). Let a(s) = -3*s + 0*s - 4*s. Determine l(a(q)).\nAnswer: -35*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*d**2 - 10*d**2 - 32*d**3 - 5*d**2 - 19*d**2 in the form a*d**2 + q + w*d + x*d**3 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5319 = 39*i - 16989. What is the highest common factor of i and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97, -91, -93, -109, -145?\n\"Answer: -x**3 + 2*x**2 + 7*x - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 - 8. Let n = t - -0.2. Which is the nearest to -0.1? (a) -5 (b) 1\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 3. Let d be o(0). Let u(b) = 2*b**2 - 2*b - 3. Let w be u(d). Solve -5*f - 16 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2367 + -1?\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3204896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -93 - (1 + -17) - (-18 + 26)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -1 - 5\/8*o**4 - 12*o**2 + 0*o - 32\/3*o**3. Differentiate i(m) with respect to m.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 8.3.\nAnswer: -74.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*a*w - 534051*a + 69444*w + 358 wrt a?\nAnswer: -30*w - 534051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, -35, 0, 5, -19 in descending order.\nAnswer: 234, 5, 0, -19, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4868 - 4855. Put v, 6, -3\/4, 1 in decreasing order.\nAnswer: v, 6, 1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7805.369nm to millimeters.\nAnswer: 0.007805369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-2)\/(-18))\/(-25 + (-223922)\/(-8961))?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1711.2 + -1711.6. Sort t, 1\/2, 2\/39, 5, -3.\nAnswer: -3, t, 2\/39, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/1200 and -153\/32200?\nAnswer: 193200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1160.617 + 1166. Let s = n - 0.562. What is s rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*t + 21297*t**2 - 7*t - 21292*t**2 + 34*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-118)\/8)\/(2\/(-8)). Let t = -59 + y. Suppose -5*x - 3*k + 4945 = t, 4*x + 2*k - 4945 = -x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 1.1525735\nAnswer: -1.4525735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320.30638 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 5.\nAnswer: 123\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*v = 0, -2742*o + 2738*o - 4*v + 4 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 11. Suppose 2*a + 2*a + 8 = 0, -4*g = 3*a - 22. Let v = g + -12. Does 5 divide y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 - 2145 = -23*j. Let t = j + -22. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 8. Calculate p(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = y - g, -2*y + 187 = g + 197 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*h - 7*h + 10*h)*(-4*h + h + 2*h) + 5*h**2 - 2*h**2 - 2*h**2 + 0*h**2 - h**2 + 3*h**2 + (0*h + h - 4*h)*(0 - 2*h + 0).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 203 = 68. Let h be 3\/9 + 5*3\/k. Is 1 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-9 + 7 - -3) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 * -29\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 107*h. Let q(r) = 36*r. What is t(q(o))?\nAnswer: 3852*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*a - 0*a + 3*b, 4*b = 5*a - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 - 42. Does 25 divide 115 + 8 + 3 + o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/12 - 2*z**2. Let b(c) = -1597*c + 3190*c - 1577*c. Give i(b(d)).\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180)\/120*48\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66270*g**2 + 33134*g**2 + 33177*g**2.\nAnswer: 41*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 67505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + 3*l)*(-4 + 3 + 2)*(15 - 8*l + 9*l - 2*l).\nAnswer: -l**2 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1565*m**2 + 27 - 9*m + 9*m - 1549*m**2 - 27.\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 9)*(4*n - 4 + 4).\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -97*i - i**3 + 7 - 21*i - i**3 - 6 in the form j*i**2 + u + b*i + s*i**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3746451789.117 + 0?\nAnswer: 3746451789.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335 is divided by 145?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/10)\/((-3)\/10). Suppose 0 = -3*f + n*f - 70. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116760 divided by 1668?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/20 + 2 + (-14)\/8. What is the third derivative of 114*g**5 + 15*g**6 + 4*g**l - 114*g**5 - 15*g**2 wrt g?\nAnswer: 1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 57123 - 57123.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-17)*(-22)\/(-66).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -37847 and -37683 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 75*h + 61. What is the remainder when k(11) is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 2. Let m be q(-9). Suppose 5*h = m - 47. Let c = 12 + h. Calculate the greatest common divisor of 8 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 1, x: 6, p: 5, f: 5}. Give prob of picking 1 t and 2 p.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1422?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 w, and 1 l when three letters picked without replacement from llwhwwr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -3*v + 29, 7*n - 495 + 450 = 2*n + 5*v for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q + 0*q + 4*q)*(5*q**3 - q**3 + 0*q**3) - 3*q**4 - 5*q**3 + 5*q**3)*(0 + 1 + 1) - 3940*q**3 + 488*q**4 + 3940*q**3.\nAnswer: 506*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3807\/(-470) + 16\/2)\/(1\/6)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**5\/15 - 258*w**4 - 399384*w**3 + 3154*w**2. Solve c(t) = 0 for t.\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.1 + 11. Which is the biggest value? (a) 0.5 (b) m (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Solve 0 = -m*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.8 from -0.027319.\nAnswer: 3.772681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -806 = -116*x + 704 - 350. What is the remainder when 2227 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01 - 0.01. Let w = g - -1. Let b = w + -1.0000054. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4\/4 - 317*i**3\/4 - 24719*i**2\/4 - 138643*i\/4 - 28560 = 0. Calculate i.\nAnswer: -192, -119, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 521549912 to the power of 1\/2, to the nearest integer?\nAnswer: 22837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 76515*0.5\nAnswer: 38257.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2441272400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 at least as big as 46017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 100 and -160?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1132115221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40664690 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let w be 54\/(-4)*(82 + -4). Let y be w + (-9)\/(-3) + v. What is y rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 64*v - 128. Let b(g) = -20*g**2 - 416*g - 832. Let t(o) = 5*b(o) - 32*u(o). Suppose t(p) = 0. What is p?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 4*j**2 + 0*j**2. Let z(g) be the first derivative of -101*g**2\/2 - 2*g + 8833. What is z(q(w))?\nAnswer: 202*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/13 (b) 0.016 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9) + (-3)\/9. Suppose m + 12 - 16 = l. Solve -r = m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x + 1. Let d be w(1). Let b = -672\/5 - -134. Let y = 1181.5 + -1182. What is the nearest to d in 1\/3, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 v when four letters picked without replacement from mmmzmmbbvzmmvmzvm.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a meter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/2*(-8)\/5. Suppose -w*z = -43 + 7. What is the greatest common factor of 18 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a - -1b2?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u**2 - 13 - 5 + u**2 + 41*u**2 - 37*u**2.\nAnswer: -4*u**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 plus 8503?\nAnswer: 8490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = -30. Suppose 1225836 = -10*u + 1226036. Calculate the smallest common multiple of u and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10750856*p**2 + 80820*p - 8980. Let f(b) = 3592*b**2 - 27*b + 3. Determine -17960*f(q) - 6*j(q).\nAnswer: -7184*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(24\/56)\/(-3))\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = g, -4*l + 5*g = g + 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*m - d + 3*d, -m + 3*d - 9 = 0. Is -3 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 67*t**2 - 5125 - 214*t**2 - 1355*t + 63*t**2 + 79*t**2 - 215.\nAnswer: -5*(t + 4)*(t + 267)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 58*k + 21. Let n be z(11). Let b be (-39)\/n + (-3)\/12*1. Suppose h + 2*h = 15. Solve b*o = 0, 2 + 3 = h*q - 2*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(234) - (1*sqrt(234) + sqrt(234) - sqrt(234))) + sqrt(234))\/sqrt(9))\/(sqrt(242) - (sqrt(242) + 1*sqrt(242) + sqrt(242))).\nAnswer: -1 - sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-245)*784\/336)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*a - 4*l - 20 = 0, -6 = -a + 5*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 3*l**2 - 281*l + 841. Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukuclkylyyklclclkck. What is prob of picking 2 c and 1 y?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -202, -503, -956, -1579, -2390?\nAnswer: -3407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 4. Let i be 8\/(-28) + (-40)\/7. Is a(i) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/6 - o**3\/2 + 81*o**2\/2 + 2*o + 52. Calculate the lowest common multiple of j(9) and 33.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10001000110100?\nAnswer: -10001000110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 213*g**2 + 12*g.\nAnswer: 213*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -66*a**3 + 3*a**2 - 1. Let v be o(-1). Suppose -q = -v + 66. What are the prime factors of q + (-1800)\/(-22) + 8\/44?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2551131912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/5 and 28\/435?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11402631 (base 8) to base 6.\nAnswer: 125224041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z = -7082 + 1171. Let k = 259 - z. What is the remainder when 9 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/60 - i**4\/24 + i**3\/3 + 10*i**2. Let g be t(1). Suppose g*u - 4122 + 1096 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41\/45 - 1\/9. What is the closest to -1 in -2, x, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63832 is divided by 5788.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 3*w**5\/10 - 257*w**4\/24 + 263*w**3\/3 - w**2 - 9944*w. Differentiate k(p) with respect to p.\nAnswer: 36*p - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099409060*s + 2198818110*s - 1099409051*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25805*l*v**3 + 53*l*v**2 + l - 3*v**3 - 4*v**2 - 68947*v - 3 wrt l?\nAnswer: -25805*v**3 + 53*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 14*q - 5. Let d be t(-7). Let o(k) = k**2 + 3*k + 9. Let a be o(d). Calculate the highest common factor of a and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -623*i*p**3 + 2*i*p**2 + 3*i*p + 28*i + 2*p**3 + 2*p - 3 wrt p?\nAnswer: -3738*i*p + 4*i + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 9*l + 14. What is p(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -28. Suppose 5*w = 5*p, p + 9 + 6 = z*w. Suppose 3*x - 83 = -v + 3, -w*v = x - 458. What are the prime factors of v?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.21, -0.024, -14\/11?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 l when two letters picked without replacement from {p: 10, r: 4, l: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -328.001 (c) 1 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) 7 (c) -3 (d) 101\/8 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1 = -w, -2*w - r - r + 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) + -1*sqrt(160) + sqrt(160))\/sqrt(10))\/(-2*sqrt(800) + sqrt(800) - sqrt(8)) + 1.\nAnswer: -sqrt(2)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -464196 and -464197 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.021753 + 69.26769525\nAnswer: 69.24594225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.37719 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 + 11. Let y = s + 9. Solve -6 = x - 5*p, -2*p = -y*x - 5*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 0 + 2\/7*o - 2\/7*o**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 30*t**2 - 6*t - 173. Calculate n(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - i + 1. Let x(m) = 16*m**3 + 2*m**3 + 0*m**3 - m + 24 - 17*m - 2*m**4. Let q(p) = 44*g(p) - 2*x(p). Factor q(v).\nAnswer: 4*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 9 + 5871*q**3 - 36*q**2 - 5866*q**3 + 5*q**2.\nAnswer: 5*q**3 - 31*q**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*(k\/(k*k**(-4\/5)))\/k))**8 assuming k is positive.\nAnswer: k**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45063 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 rounded to two decimal places?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146250 and 936.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10523 (base 9) to base 4.\nAnswer: -1231023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 9 - -6) + -19 + -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.12 + 3.5. Let a = 1519.1 + -1516.4571. Let t = a + g. Round t to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q**2. Let w(b) = 2*b. Calculate w(x(t)).\nAnswer: 40*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 3 = 0. Let n be (d*1\/2)\/(-2). Sort 4, n, 2 in ascending order.\nAnswer: n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4173, 7781, 11389, 14997, 18605, 22213?\n\"Answer: 3608*s + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3840748081 - -1.2.\nAnswer: 1.5840748081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.087 * 26276.86\nAnswer: 2286.08682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 10*c**2 - 10*c - 1. Let v be q(-9). What are the prime factors of 51 - v\/((-24)\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + p)*(-1845135*p + 1845135*p + 5678*p**3) + 3 - p**4 - 3.\nAnswer: -5679*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513712 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790 = -7*i - 643 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**7\/1540 + i**5\/220 - 4*i**3\/3 + 12*i. Let f(q) be the second derivative of h(q). Solve f(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1305821 and 4488?\nAnswer: 31339704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -323599?\nAnswer: -73\/323599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6631*x - 6624*x - 15 + 159 + 13256*x.\nAnswer: x + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4 + 68. Let b be 0 + 5\/((-15)\/q). Solve u = 4*u - b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -31. Let c(q) = -q**3 + 2*q**2 + 22*q - 16. Let a be c(5). Calculate the greatest common factor of a and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeh when three letters picked without replacement from ehkweuc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 107*d - 635. What is the lowest common multiple of 848 and f(-7)?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 2 - 4) + 4\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 7690 - 7729 + 20*q.\nAnswer: 3*q - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2. Let c(b) be the first derivative of 34\/3*b**3 - 29 + 0*b + 0*b**2. Calculate c(x(f)).\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*(-1 + sqrt(2)) - sqrt(2)) + (sqrt(2) - sqrt(14)\/(sqrt(28)\/sqrt(4)) - -2*sqrt(2)*-2).\nAnswer: -20 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1400 + -1399.9. Let t = -1 - -1.5. Which is the third biggest value? (a) 3\/5 (b) t (c) -0.3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*y - 7250 = -17*y for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)\/(y**(-2\/13)*y*y))**(-2\/47) assuming y is positive.\nAnswer: y**(214\/3055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*b + 19 - 5, 0 = -3*j - 3*b + 9. Let v(y) = y**2 - 1. Let g(s) = -s**2 + s + 1. Let r(c) = -2*g(c) - 3*v(c). What is r(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -76*n + 1. Suppose -4*l + 5*q = -6 - 3, 5*q + 5 = 0. Let v be k(l). Let y = -63 - v. Calculate the remainder when 21 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d + 5. Let b be d\/(-12) + (-2)\/(-4). Solve 2*q - 2*u + 8 = b, 0 = -5*q - 0*q + 2*u - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -216, -799, -1936, -3813, -6616?\n\"Answer: -31*i**3 + 2*i**2 - 4*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 42 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02615477732 rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 - -255. Suppose 5*v + 3*n - 57 = 0, -v - 2*n + 16 - 6 = 0. Is (2 - -10)*(-2 + s\/v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocz when three letters picked without replacement from luuulozlocrl.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = d + 2, -4*d = y - 0*y - 7. Calculate the common denominator of -23\/18 and (1818\/45)\/(-7 - d).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55895 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 26 + 22 = 0. Suppose 88 = c*f - 11. What is the remainder when 65 is divided by f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 57\/9)\/(3\/54). Let s(b) = 2*b**3 + 16*b**2 + 22*b + 8. Let a be s(f). Solve -12*t + 16*t = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1516090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159130279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000030554 to 6 decimal places.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-304)\/(-10) + 2\/(-5). Suppose 10 + p = -5*n. Let c(l) = l**2 + 5*l - 6. Is 18 a factor of c(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:01 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -21.23.\nAnswer: 84.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -118*g + 5. Let o(m) = -117*m + 6. Let r(v) = -5*f(v) + 6*o(v). Let k be r(7). Round k to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let u be 0*(-2 + 6\/i). Suppose -54 = -11*c + 2*c. Solve 2*t + 0 - c = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*a**3*b**3*j + 1663*a**3*b*j**3 - 6*a**2*b**2*j**2 - 4*a**2*b - a**2*j + 2*a*b**2*j**3 + 3*b**3*j**3 + 26*b**2*j**3 wrt a?\nAnswer: 42*b**3*j + 9978*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5054 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let k(x) be the first derivative of -21*x**4\/4 - x**3\/3 + 2. What is the lowest common multiple of k(u) and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -19995*m + 12. Let i(r) = -9997*r + 6. Let f(c) = -7*i(c) + 4*n(c). Let q be f(6). Round q to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -400001*x**2 + 3*x - 2. Let b(v) = -v**3 - 2*v**2 - v. Let d be b(-2). Let m be j(d). Round m to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - 292. Let c = 54 - s. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198 - 194. What is the biggest value in 5, y, 2\/5, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-221))\/(((4590\/(-75))\/(-51))\/(2\/(-30)))\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*-99\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**2 - 509*j - 2697. Determine p(-5).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450432 and 6796872.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 4. Calculate the remainder when 9 is divided by j(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**3\/3 - 9*b**2\/2 - 11*b + 742. Give d(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 74998630?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, -3, 2204 in increasing order.\nAnswer: -113, -3, -2, 2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.89 + 0.465671.\nAnswer: -20.424329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8015963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 18*t**2 - 13*t + 20. What is the tens digit of l(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i, 3*c = -10*i + 9*i + 3352. Suppose 8*h = -c + 9061. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339432405 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 9. Let t = x - 14. Let k be 18\/(12\/4)*(-1)\/(-12). Which is the closest to k? (a) t (b) -3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 - 142. Which is the third biggest value? (a) w (b) -2 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19938498.\nAnswer: 2, 3, 43, 109, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y + 22*y - 193*y + 63*y - 4 to k*y + x and give k.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156730*h**2 - 198153*h**2 + 80704*h**2.\nAnswer: -274179*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u = 0. Let v(w) = -3*w + 2 + 1 + u*w. Let a be (-8)\/(-6)*21\/14. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 2997 = 0. Let o = a + -1800. Suppose -5*f + o - 197 = 0. What is f rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -10002 (c) -6 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 3, 5, -80 in descending order.\nAnswer: 5, 3, -33, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**3 + y**2 - y + 2. Calculate d(-3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -291 * 51.1.\nAnswer: -14870.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.99229ml in litres?\nAnswer: 0.03699229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3803564.91 + 3803672.9099943. Let q = -108 + k. What is q rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -123725053, -123725056, -123725059, -123725062, -123725065, -123725068?\n\"Answer: -3*q - 123725050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 55. Let z(b) = 3*b**2 - 187*b - 446. Let t(u) = -u**2 + 61*u + 149. Let s(y) = v*t(y) + 4*z(y). What is the first derivative of s(p) wrt p?\nAnswer: 2*p - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - -1.09. Let z = k - 0.2. Let l = -1 - -1.4. Which is the second biggest value? (a) -2\/3 (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 790257*o**3*t**3 - 533*o**3*t**2 + 2*o**2*t**2 - 2*o + 24*t**2 wrt t?\nAnswer: 4741542*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 12 = 2*p, 4*p + 3*o - 137 + 128 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1345\/6 + -1 + (-540)\/3240.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 2. Let o be v(2). Let n(r) = r**3 + 15*r**2 + 2*r - 5. Is n(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 3*o**5\/10 - o**2 + 65*o. Let m(l) = 17*l**2. Calculate m(d(b)).\nAnswer: 5508*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8617*v - 11112*v + 22886*v)*(-5*v**2 + 5*v - 5*v) to a*v + p*v**2 + b*v**3 + q and give b.\nAnswer: -15785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 12:21 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 2615, -4, -2, -5, -21 in ascending order.\nAnswer: -21, -5, -4, -2, 3, 4, 2615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from xvxoxvxwxxovtovtx.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7025 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/15 + (-55)\/(-25). Suppose n = 6*q - a*q - 120, -3*n - 60 = -2*q. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.12930668 to the nearest integer.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401 (base 9) to base 13.\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(567))**2 - (-2 + 1*sqrt(567))**2.\nAnswer: 36*sqrt(7) + 13604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 5. Let j be p(-6). Let f(b) = -2*b - 4. Let v be f(-7). Suppose -v = 3*k + 5. What is the third smallest value in 3\/2, j, k?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 3 + 3*k**2 + 5 in the form a + b*k**2 + x*k and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 - 9*o**2 + 9*o + 8. Let s be l(-7). Let j = -122 + s. Let a = j + -41. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -3\/20*b**4 + 3\/5*b**3 - 9\/10*b**2 - 57 + 3\/5*b. Factor f(i).\nAnswer: -3*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -989*i + 13853. Let d be z(14). Let a(s) = -47*s + 329. Calculate a(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*m + 12. Suppose -4*d = -8 - 8. Solve -m*v**5 + v**5 + 5*v**4 - 10*v**d = 0 for v.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.8 (b) -3\/2 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/891 and -19\/23793?\nAnswer: 642411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3\/5*j + 0*j**2 - 4 + 1\/5*j**3. Factor n(g).\nAnswer: 3*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4141631 - 231948875\/56. Let t = 2565\/8 + l. Calculate the common denominator of t and -49\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845.476 millimeters in micrometers?\nAnswer: 1845476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044 by 4.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -909400 rounded to the nearest ten thousand?\nAnswer: -910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547695422 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 528 = 2*h - 1056 + 510, 0 = -15*m + 8*h + 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 10402*y - 93422. What is s(9)?\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 3. Let q(m) = m**2 + 6*m + 5. Let c be q(-7). Let r = -7 + c. Give w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvdd when four letters picked without replacement from {d: 3, y: 1, v: 11}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2 + 2*f**2 + 8 + 22*f as o*f**2 + q + p*f and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5235 or 5233?\nAnswer: 5235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(5 + (sqrt(19) - (sqrt(19) + sqrt(684))) - sqrt(19)).\nAnswer: -21*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30543 (base 6) to base 16.\nAnswer: fff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 10332?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 584 + 820. Let o be (-2)\/11 + r\/11 + -1. What is the third derivative of o*c**2 + c**2 - 8 + 6*c**6 + 8 wrt c?\nAnswer: 720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 - -1679885799?\nAnswer: 1679885648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -31*x. Let n(g) = -8*g. Give r(n(h)).\nAnswer: 248*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/38 and -21\/29465?\nAnswer: 1119670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 1650?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 15*x**2 + 1 + 2*x - 3*x**3 + 12*x**3 + x.\nAnswer: 3*(x + 1)**2*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -3)*1 - (6*sqrt(3)*3)**2) + (sqrt(12) + 2 + -3 - sqrt(12)) + 0.\nAnswer: -976 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {c: 4, d: 5, y: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -29, 0.1, 14, 4, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13897671*g*q + 28307*g - 40 wrt q?\nAnswer: 13897671*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.955599 micrograms?\nAnswer: 0.000000955599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 + 6\/15)\/((-1)\/365)?\nAnswer: 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-10)\/h)*h**(-2\/19)*h**9*(h*h*h**(2\/9)*h*h)\/h*h)**(3\/8) assuming h is positive.\nAnswer: h**(4295\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/9430 and -41\/122.\nAnswer: 575230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.951 to one dp.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from ddsddsdsedxsejdxxpxd.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Let a = -5 - -7. Put t, 3, a in descending order.\nAnswer: t, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48298997 rounded to the nearest one hundred thousand?\nAnswer: -48300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145376*x**4 - 565*x**2 + 7*x + 2.\nAnswer: -3489024*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-5)\/15)\/(2\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -3*l - 3, 2*l + 23*p = 27*p + 26 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y**3 - 120*y**2 + 47 + y**4 + 4*y**3 + 121*y**2 + 5*y - 3*y in the form r + i*y**3 + w*y**2 + p*y + n*y**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**4 - 33760*f**3 - 85480320*f**2 - 96193853440*f - 40593806151680 = 0.\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 + 12 = 4*b, 5*n - 2 = -b. Solve n = -3*d + 2*k + 7, -7*k + 9*k + 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 3) in base 12?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3069128, -3069126, -3069124, -3069122, -3069120, -3069118?\n\"Answer: 2*d - 3069130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46419 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -7) + (-234)\/(-57)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69926 and 9?\nAnswer: 629334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**3\/2 + 3*m**2\/2 + 3*m. Let n be (-5 - -4) + 1 + 5. What is v(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7548656 is divided by 2516215.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l. Suppose -u + k = -2*u - 5, 0 = -u + 4*k - 20. Let h(d) = 7*d - 14. Let f(z) = -3*z + 5. Let a(i) = u*f(i) - 3*h(i). Determine a(g(b)).\nAnswer: -9*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4440866865 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -3\/2 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -11135?\nAnswer: 11129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1040 and 120?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 105427267 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (2 - 1)) + -6 + 5 + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, 1, 3, -250, 0, -8 in descending order.\nAnswer: 3, 1, 0, -8, -207, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 400\/280 - (-1 - -3). Which is the biggest value? (a) -2\/9 (b) -16 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1*(3 - 1). Let d be (-5 - -1)*36\/(-24). What is the highest common divisor of i and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = s - 6199997, -5*h + s + 2*s - 15499991 = 0. What is h rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 + 302764*o**3 - 5726552880*o**2 - 97457091408*o + 343902075840 = 0. What is o?\nAnswer: -20, 3, 37854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2370 and 8?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*i + 12*i. Suppose -2*y = -f + 4*f + 82, -4*f + 30 = -y. Let b = i - y. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -795 - -749. Is 42 a factor of ((-92)\/r)\/(1\/(-164)*-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(200)*-3 + -1)*-2)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 27, 42, 59, 78?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, 1, 2, -0.3, -0.08 in decreasing order.\nAnswer: 92, 2, 1, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1737 - 0.0737. Let m = -0.1 + 0.1. What is the closest to b in 0.3, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31 * 3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.3, 4, 2621?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -36 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6855)\/(-8226))\/((-2)\/(-36)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2 - (21 + 8 + 27)) + -5 - 2?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/3))**(-2)*(x**(5\/6)*x)**(-26))**(-2\/11) assuming x is positive.\nAnswer: x**(290\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o - 12, -o = -5*i + 600. Solve 5 = -i*x + 118*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -9\/184, 161, -6?\nAnswer: -9\/184","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -1681.\nAnswer: -840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/111861 and 107\/372870?\nAnswer: 1118610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/12*4)\/((-2)\/(-24)). Let m = -1.2 - -1.7. What is the second smallest value in n, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 + (511\/(-42) - -4). Let r = -54 + 164\/3. Which is the second biggest value? (a) r (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-2)\/(-12) + 888\/666. Let u(k) be the first derivative of 14 + x*k**2 + 0*k. Let h(f) = 2. Calculate h(j) - u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5 + 2*v**2 - 4 - 2*v - 7*v**2 + 4*v. Calculate w(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**5\/30 + y**4\/24 + y**3\/3 + 2*y**2 - 57*y + 1. Let p(d) be the first derivative of t(d). Calculate p(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1942250, -3884498, -5826746, -7768994, -9711242, -11653490?\nAnswer: -13595738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/10)\/(21\/70) - -116. Calculate the highest common factor of 42 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -47, -73, -107, -149?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -10\/11*k - 2\/11*k**2 + 28\/11 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.98 - 0.02. Let b = 0 + m. Let i = 3 + b. Is i at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/((-4)\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21004 + 11121?\nAnswer: 32130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719 divided by -1.\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 909*j - 1067*j - 2212 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59791 + 274635. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388 + 1245 + 980 = -277*z - 542 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2458286 divided by -3?\nAnswer: 2458286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*2.8.\nAnswer: 333.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 19. Let o be s(-14). Solve 1 = o*h - 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5\/g**(-1\/7))\/(g*(g\/g**(-1\/4))\/g)**(-2\/11)*(g**15\/g*g**(-12\/5))**(2\/53) assuming g is positive.\nAnswer: g**(237019\/40810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a week in minutes?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 9 + (-33 - 9 - (-24 + 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 13 + 28 + 2*r - 13 + (-2*r + 6*r - 2*r)*(4*r + r - 4*r) to the form f + c*r + w*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)\/(f*f\/(f**(2\/7)*f)))\/(((f*f*f**(-3))\/f)\/f*f**(1\/2)*f)*(f**(-1\/3)\/f)**(-40)*((f\/(f*f**(2\/5)*f))\/f)**24 assuming f is positive.\nAnswer: f**(-661\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*m + 2, 3*g + 1 + 6 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 66284478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w = -r - 16, 0 = 1901*r - 1906*r + 5*w + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25120?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94775049, 94775048, 94775047, 94775046, 94775045?\nAnswer: 94775044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 + 31*k - 141. Give p(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 30*b**2 + 626*b - 3896. Calculate t(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1862) - (sqrt(1862) + -2*sqrt(1862) - sqrt(1862))*5)\/(sqrt(14)\/(-4*-1*sqrt(7))))**2.\nAnswer: 1802416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -0.5, -5, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 t when four letters picked without replacement from cbcccjbtz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p + 4 - 3 + 2)*(1 + 5 + 1) to the form s + m*p and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from xkkk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-81)*0 + -9. Sort -1, -3, 5, b.\nAnswer: b, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 57?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1683 - 403 + 26 - 363)*(-2*a - a + 0*a).\nAnswer: 7269*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 1, -580*w + 185068 = 5*v - 578*w. List the prime factors of v.\nAnswer: 2, 3, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30624960230 rounded to the nearest one million?\nAnswer: -30625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 21*d = -16*d - 424, 2*d + 4 = 0. Calculate the greatest common factor of 5425 and s.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 29 = -0*g + 2*p, 0 = -5*p - 20. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 2364.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -68500 divided by 13700\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -12 + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (8\/9)\/(-8*(-13)\/936)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4706.99499 + -4707. Round r to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13913?\nAnswer: 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28211158.28692142 + 28211158. Let r = d + 22.28692242. Let j = r + -22. Round j to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfqq when four letters picked without replacement from ffffqfqqff?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k - 15. Let t(y) = -13*y + 10. What is -5*f(j) - 7*t(j)?\nAnswer: -9*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + u = -635, -254 = -2*w - u - 0*u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 7. Suppose 0 = -4*i - 71 + 55. Let p(q) = -q + 1. Let o be p(i). Calculate b(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 52 + 279 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 68*i - 208. Suppose -2*n + 120 = n. What is the units digit of m(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99370616, -99370612, -99370606, -99370598?\n\"Answer: z**2 + z - 99370618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 101 - 165 = 0. Suppose -5*j - q + 11328 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/39205 (b) 0 (c) -271\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458)*1)\/((-2*sqrt(81))\/sqrt(9)))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -21 + 284195 - (2\/2 + -1). Suppose 16874 - g = -3*q. Round q to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181?\nAnswer: 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*sqrt(147) + -5 - sqrt(147))*-2 + -3 + 4 + 3*sqrt(147)*2 + sqrt(147) + 3)**2.\nAnswer: 2156*sqrt(3) + 17979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12000467449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 19. Let v be i(0). Which is bigger: v or -20?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)\/(sqrt(8)*-2) - ((sqrt(28) - sqrt(252)*-4) + sqrt(28)))*-4)\/((sqrt(32)\/sqrt(64))\/(sqrt(2) - sqrt(32)*-5)).\nAnswer: 4872*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*q = -y + 26, -5*y - 2*q + 32 = 0. Let j = 4 + -3.9. Which is the second biggest value? (a) y (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*p - 11328 + 11328 - 1070*p + 2*p**2 as i + j*p + o*p**2 and give j.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i + 98. Let j be w(24). Let u(r) be the second derivative of j*r**4 + 2*r**3 + r**5 + 0 + 1\/5*r**6 + r**2 - 5*r. Factor u(s).\nAnswer: 2*(s + 1)**3*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0790493l?\nAnswer: 79.0493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose 3*f + 3*s = s + 8, -d*f + 2 = 2*s. Let b = -284 - -300. What is the remainder when b is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 5*n - 79. Suppose 15*k - 114 - n = 0. Suppose -1923 = k*l - 12*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320 - -377. Solve 5*s + j = 47 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/2)\/49)\/((-2)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 13955 = 28715. Let b be i\/8 - 15\/(-60). Find the second derivative of 1061*n**3 - b*n**3 - 32*n + 15*n - 15*n + n**2 wrt n.\nAnswer: -36*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:47 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 - 235*n - 2107. What is f(-68)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*s + 374 - 1351, -5*s = -2*p + 521. Let a = -48 - 62. Let q = a + p. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) 1\/7 (c) -1316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7216*h - 37227 + 3951 = 7924*h for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 275*m - 3106. Let z be s(-125). Solve z*n = 22*n - w + 16, 8 = 2*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + (5 + -8 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p**4 - 5*p**2 - 5*p + 4. Let w(i) = 6*i**4 - 2*i**2 - 2*i + 2. Let s(n) = 5*w(n) - 2*z(n). Differentiate s(l) with respect to l.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -625, -491, -79, 755, 2155, 4265, 7229?\n\"Answer: 24*p**3 - 5*p**2 - 19*p - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(70) - (sqrt(70) + (sqrt(70)*-1 + sqrt(70) + sqrt(70))*-2))\/(2*sqrt(50)\/sqrt(5)))**2*-4.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7468076 - -6671924. What is j rounded to the nearest 100000?\nAnswer: 14100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 5132202704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 137748*i - 3726*i + 10978*i. Suppose r + x = -3, 5*x - 2 = -r - 1. Let p be q(r). Round p to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232449 * -2.5\nAnswer: -581122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 11*y**5\/5 - 5*y**2\/2 - 3. What is the second derivative of i(h) wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 36*c + 62. Let d be o(-36). Solve 2*p - d + 64 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2060 divided by 515.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 + 31?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2827 = 2*m - z - 2566, 3*m = -5*z + 8070. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 26 = 5*o, 2*j - 5 + 3 = o. Suppose -3*b - 5 = 1, -5*r - 4*b - 53 = 0. Let k = r + 14. Put o, k, -1 in ascending order.\nAnswer: -1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51668.1 rounded to the nearest one thousand?\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*v = 47719, 107*v + 47712 = 4*s + 111*v. List the prime factors of s.\nAnswer: 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*h = -165, -5*z + h = -h - 159. Is 17 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0, -5, -1622, 3\/5, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 61 + 2 + -2 - (16 + -12). Suppose -11*o = s - 838. What is the remainder when 137 is divided by o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18188288 and 1323269.\nAnswer: 8881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 95.7291 centuries?\nAnswer: 9.57291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800264103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 19.57282?\nAnswer: -44.57282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaadynwyw. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d (base 14) in base 11?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31745 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 52*r**2 - 88*r - 21. Let h = -275 - -268. Let o(j) = 52*j**2 - 89*j - 18. Let c(x) = h*o(x) + 6*k(x). Find the second derivative of c(y) wrt y.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -30*n**3 - 2*n**2 + n - 1419. Let b(o) = -122*o**3 - 8*o**2 + 5*o - 5677. Let w(h) = -2*b(h) + 9*x(h). Differentiate w(y) wrt y.\nAnswer: -78*y**2 - 4*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27108 = 325*f + 24*f + 436*f - 42757 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 473 and 15?\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 146, 295, 436, 563, 670, 751, 800?\n\"Answer: -d**3 + 2*d**2 + 150*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.53? (a) 4 (b) 1\/3 (c) -282 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153)*-1 + sqrt(153)) - sqrt(153))\/sqrt(9) + -5.\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {e: 2, l: 1, c: 2, n: 1, j: 1, d: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271096?\nAnswer: 2, 7, 47, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-1)*h*h))*h)**30\/(h**(7\/2)*h*(h\/h**(2\/5))\/h*h*h*h)*(h*h**(1\/2)*h)\/h**(-5\/3)*(h**(-8)\/h)\/h**(-3) assuming h is positive.\nAnswer: h**(766\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105452, -421799, -949048, -1687205, -2636276, -3796267, -5167184?\n\"Answer: -c**3 - 105445*c**2 - 5*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 0.74524, 22 in decreasing order.\nAnswer: 22, 0.74524, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 3*f. Suppose -f*l + 5*l = 6. Let d = 4.89 + 0.11. Sort d, 0.5, l in ascending order.\nAnswer: 0.5, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -32363.\nAnswer: -32368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 13) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 5*f + 9. Let g(y) = -3*y - 59. Let l be g(-18). Is 9 a factor of i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1.8. Let z = p + -0.3. Let i = 0.516 + z. What is i rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*w**2 - 2*w + 57*w**2 + 13 + 8.\nAnswer: 109*w**2 - 2*w + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**7))*k)\/(k**(-6\/7)\/k) assuming k is positive.\nAnswer: k**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 + 24*w**2 - 5*w + 103. What is b(-11)?\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62387*d**2 + 1 + 62409*d**2 + 1 - 3 - 10*d**4 to the form a*d + u*d**2 + c*d**4 + p + z*d**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, -2, -1, -2\/13, -0.63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 56\/(-12) - (16\/12 + -2). Let x be ((-6)\/v)\/(-1) + 390\/(-220). Which is greater: x or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*r**3 + 20*r**3 - 2*r + 22*r**3 to the form h + b*r**2 + y*r + z*r**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 10. Let t(m) = m**2 + 3. Give -s(f) + 4*t(f).\nAnswer: 5*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 75190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 20*y - 51.\nAnswer: -(y - 17)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1632 - 1636. Sort 3, -0.5, u, -2\/7 in descending order.\nAnswer: 3, -2\/7, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 4) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-81)\/6)\/9 + ((-188793)\/18)\/(-11) and 16?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/360 + j**5\/60 + j**4\/12 - 35*j**3\/6 + 32*j**2. Let i(q) be the first derivative of v(q). What is i(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26.6 + -1.6. Let v = -12.5 + -18.9. Let a = w + v. What is a rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483143 plus 20629785?\nAnswer: 20146642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + -1. Let r = -26574003 - -26573985.999977. Let j = b - r. Round j to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4205731 litres in millilitres?\nAnswer: 420.5731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t. Let o(v) = -1413*v**2 - 14. Let p(h) = 489376*h**2 + 4849. Let n(x) = -4849*o(x) - 14*p(x). Give f(n(u)).\nAnswer: 373*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 230 = -q - 0*q, -2*k = -2*q + 436. Let y(g) = -24*g - 439 + q + 219. Let f(r) = -r - 2*r + 2*r. Give f(y(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9793*v**5*x - 2*v**5 + 62*v*x - v + 2*x - 20 wrt v.\nAnswer: -195860*v**3*x - 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1092 - 317 = 0. Let l = o + -115. Solve -x = 2*n - 2*x + 3, -5*n - 4*x - l = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-20)*p*p**6*p**(2\/3) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -492.873 from -513.\nAnswer: -20.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 6. Let s be l(5). Let m be 2\/(3\/21 + 0). Let x = m + s. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a = -139*a - 93 + 21 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20126178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(567) + 1 - sqrt(567)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let u = -0.5 + 0.6. Let b = 5\/42 - 2\/105. What is the nearest to u in b, -1\/3, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28139*i**2 + 70*i**3 + 28139*i**2 - 98*i**3.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 439 + -135. Let g = -184 + a. Suppose -10*x + g = -6*x. Calculate the remainder when x is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 8*r - 45. Let y be n(6). Solve 20*i + y + 5 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 0) + 23\/(506\/(-44)) - (-10107)\/(-1125)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c0 (base 15) to base 16.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1639704 by 409926.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) 31 (c) 5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58955 and 5505490.\nAnswer: 71571370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1\/22, 0.5, -13 in ascending order.\nAnswer: -13, -1\/22, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8275324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/9 - 1\/18. Let h(r) be the second derivative of 0 + 0*r**3 + 2*r + x*r**4 + r**2. What is the derivative of h(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79\/22485 - -932371\/18347760. Find the common denominator of -107\/2176 and p.\nAnswer: 19584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880)*-1 + sqrt(2880))\/(sqrt(36)\/(1*sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9*m**2 + 206*m - 205. Calculate the least common multiple of 4\/(-18) - 951\/(-27) and g(-24).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 440\/13 - (-8)\/52. Let u = 6 + -3. Suppose -3*k - 5*t = -102, k - u*t = -4*t + s. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*p + 52 = -62. Suppose 5*k = -5*n + 1760, -2*k = p*k - n - 1754. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((0 + -2 + -6 - 6) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/136*48\/20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1026\/135 + 34\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 1. Let o(v) = -3. Let h(g) = o(g) + 3*x(g). Let y be h(-1). Which is bigger: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 + 976 + -1*7. Suppose -2*z + 5*m + 626 = m, 3*z = 2*m + n. What are the prime factors of z?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a*x**3 - 5*a*x**2 + 144*a*x + 55*a - 18 wrt x.\nAnswer: -6*a*x**2 - 10*a*x + 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 570831 greater than 570831?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.16 - -10.1. Let d = v + 0.06. Is d at most 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 23\/7 - (-2)\/(-7). Let o = -292 - -306. Suppose -30*h - 64 = -o*h. What is the closest to 0 in l, h, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7382.\nAnswer: 2, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o + 9. Calculate p(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*4786207.\nAnswer: -2393103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**7\/630 + q**6\/360 + q**5\/60 + 7*q**4\/3 - 2*q**2 + 42*q. Let j(x) be the third derivative of r(x). Calculate j(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 17971446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from yyyyyyoyoyyoyyyyoyyy?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 3*y - 2. Suppose w + i = 0, -2*w - i - 3*i = 8. Suppose w*a - 8 = 8*a. Let r be o(a). Solve 4*l - 3*p - 18 = r, -l - 3*p - 15 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 56. Let j be 2\/3 + 110\/v. Let d = -1 - -1. Solve 4*q = -d*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.2 + 267.3. Let v = 216 - w. What is the closest to v in -2, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 6*i**2 + 10*i - 23. Let f be z(7). Let c(v) = -v**3 - 10*v**2 + 11*v. Let j be c(-11). Is j < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/20 - 20*c**2. Let u(v) = 0*v - 2*v + 0*v. What is u(i(y))?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321314 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100863880?\nAnswer: 2, 5, 13, 47, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 958*n + 3. Let x(r) = -2882*r - 8. Give 8*a(h) + 3*x(h).\nAnswer: -982*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58746, 58742, 58712, 58638, 58502, 58286, 57972?\n\"Answer: -3*v**3 + 5*v**2 + 2*v + 58742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 214 - 20?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2.1. Let t = 1.7 - 2. Which is the nearest to 1? (a) j (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 36. Suppose u*c - 3*d + 20 = -1, 5*c - d = -18. Let y = -2 - c. Solve 0*l - l = -y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n + 6. Let q be g(6). Let w be (-3)\/2*q\/27. Suppose -w*i = -5*x + 64, 5*x - 2*i - i - 61 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5146 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egygbne. Give prob of sequence ggb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-6) + 2)\/(17\/(-34)). Let s(b) = -7*b**2 + 6. Let p(x) = -1. Calculate i*p(r) - s(r).\nAnswer: 7*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a9d (base 14) to base 3.\nAnswer: -112011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 1\/2*j**2 - 9 + 0*j. Let n(k) be the second derivative of -5*k**3\/2 + 11*k. Give n(a(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from anecciankcacc.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9905.000654 - -9905. Round a to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, -140\/9, -5, -10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000810068611 rounded to 7 decimal places?\nAnswer: 0.0008101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 41, 2\/9, -4 in ascending order.\nAnswer: -4, -3, -2, 2\/9, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let l(p) = 15*p**2. Let d = 7488 + -7508. Suppose 3*u - 4*u + 3 = 2*z, 3*u - z = -5. Calculate d*j(x) + u*l(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 100*z**3 - 4*z + 3. Let d be b(1). Let c be -2 + 2 - (-11)\/1. What is the highest common divisor of d and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 18 - 2 + 4 + d. Calculate the smallest common multiple of v(-9) and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g)**(-2)\/(g**(-6)\/((g\/(g**(-6)\/g))\/g)))\/((g*g**(-1\/3))**(-16)\/(g*g**(-2\/7)*g)**(-33)) assuming g is positive.\nAnswer: g**(-775\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 1 = 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 231120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 23075*i**2 - 778770*i.\nAnswer: -5*i*(i + 34)*(i + 4581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 4*a. Let h = -7 - -11. Suppose 0*d = 2*d + 2*b + 10, -h*b + 1 = -3*d. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.4 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*u - 2700 + 2700)*(-1 + 2 + 1) + 0 + 77*u + 0 - 97*u.\nAnswer: 62*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391039.5l to millilitres.\nAnswer: 391039500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 26*o**6\/105 - 34*o**5\/35 + 29*o**4\/21 - 16*o**3\/21 - 39*o - 13. Factor u(s).\nAnswer: 4*s*(s - 1)**2*(13*s - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3874 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445542 is divided by 24730?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 169*r**2 - 39*r - 338. Is 26 a factor of p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2717335.97 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxxbbbxbxbpbxxbbx. Give prob of sequence xbsx.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -66, -84, -94?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -1221\nAnswer: 12210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8276, 66521, 224698, 532775, 1040720, 1798501?\nAnswer: 2856086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 644*f**3 + f - 1291*f**3 + 13 + 649*f**3 + 8*f**2 to the form p + z*f**2 + y*f + t*f**3 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4540\/1947 + -134\/59. Put -0.2, 30, i, -3\/2 in decreasing order.\nAnswer: 30, i, -0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.6. What is the nearest to d in -0.1, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 31. Calculate c(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -88. What is the smallest value in l, 5, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (123 + 47610\/(-138))\/3.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.9 (b) -2 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2619 and 62953.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55935629?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415 (base 8) in base 11?\nAnswer: 13a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(8\/3)\/w*w))**(10\/3)*(w\/(w*w**(-24)))\/w**4)**30 assuming w is positive.\nAnswer: w**(1000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - 809?\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 20, 3*w + 36 = -2*x + 49 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16620107.\nAnswer: 7, 2374301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3297 = a - 5*h, -a + 0*h + 3321 = 3*h. Let w be a\/84 + 3\/(-7). Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -498*w + 12019 - 2059 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 16, r: 2}. What is prob of sequence rrf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**5 - 15*v**4\/2 - 5*v**3 + 140*v**2 - 240*v + 647. Factor z(o).\nAnswer: 5*(o - 4)**2*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 25 = 1. Suppose h - u + w = 0, 4*u = -h - u + 24. Let n be 3 + (h - (-34)\/(-14)). What is the third smallest value in -1, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13239649 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}